Page 1
',_ }.
• I
LIBRARY COPY
NOV24 1967
r,_ANNE9 SPACECRAFT CENTERHOUSTON, TEXAS
e,,,,r|
Z' -I
• Og WUO_I AJ.l'll_)¥d
SID 67-498
STUDY OF APOLLOWATER IMPACT
FINAL REPORT
VOLUME 5
USER'S MANUAL- NO INTERACTION
.MW.1967
(Contract NAS9-4552, G.O. 5264)
GPO PRICE $
CFSTI PRICE(S) $
-,,.;' Prepared by-v, Ha...4_.opy (HC)
_: J.P.D. Wilkinson Microfiche (MF)
(Author)ff 653 July 65
/ F.C. H_
Program Manager /Structures and Materials
Approved by
L.A. Harris
istant Manager
e and Technology
NORTH AMERICAN AVIATION, INC.
SPACE DIVISION
https://ntrs.nasa.gov/search.jsp?R=19680002458 2020-05-19T18:32:46+00:00Z
Page 2
PRECEDING PAGE BLANK NOT FILMED.
FOREWORD
This report was prepared by North American Aviation, Inc., Space
Division, under NASA Contract NAS9-455Z, for the National Aeronautics and
Space Administration, Manned Space Flight Center, Houston, Texas, with
Dr. F.C. Hung, Program Manager and Mr. P.P. Radkowski, Assistant
Program Manager. This work was administered under the direction of
Structural Mechanics Division, MSC, Houston, Texas with Dr. F. Stebbins
as the technical monitor.
This report is presented in eleven volumes for convenience in handling
and distribution. All volumes are unclassified.
The objective of the study was to develop methods and Fortran IV
computer programs to determine by the techniques described below, the
hydro-elastic response of representation of the structure of the ApoUo Com-
mand Module immediately following impact on the water. The development
o£ theory, methods and computer programs is presented as Task I Hydro-
dynamic Pressures, Task II Structural Response and Task ILl Hydroelastic
Response Analysis.
Under Task I - Computing program to extend flexible sphere using the
Spencer and Shiffman approach has been developed. Analytical formulation
by Dr. Li using nonlinear hydrodynamic theory on structural portion is
formulated. In order to cover a wide range of impact conditions, future
extensions are necessary in the following items:
a. Using linear hydrodynamic theory to include horizontal velocity
and rotation.
b. Nonlinear hydrodynamic theory to develop computing program on
spherical portion and to develop nonlinear theory on toroidal and
conic sections.
Under Task II - Computing program and User's Manual were developed
for nonsymmetrical loading on unsymmetrical elastic shells. To fully
develop the theory and methods to cover realistic Apollo configuration the
following extensions are recommended:
a. Modes of vibration and modal analysis.
b. Extension to nonsymmetric short time impulses.
- iii -
Page 3
c. Linear buckling and elasto-plastic analysis
These technical extensions will not only be useful for ApoUo and
luture Apollo growth configurations, but they will also be of value to other
aeronautical and spacecraft programs.
The hydroelastic response ol the flexible shell is obtained by the
numerical solution of the combined hydrodynamic and sheU equations. The
results obtained herein are compared numerically with those derived by
neglecting the interaction and applying rigid body pressures to the same
elastic shell. The numerical results show that for an axially symmetric
impact o£ the particular shell Studied, the interaction between the shell and
the fluid produces appreciable differences in the overaU acceleration of the
center of gravity of the shell, and in the distribution of the pressures and
responses. However the maximum responses are within 15% of those pro-
duced when the interaction between the fluid and the shell is neglected. A
brief summary of results is shown in the abstracts of individual volume s.
The volume number and authors are listed on the following page.
The contractor's designation for this report is SID 67-498.
- iv -
Page 4
INDEX FOR FINAL REPORT
"Apollo Water Impact"
Volume No.
4
5
6
9
10
11
Volume Title
Hydrodynamic Analysis of Apollo
Water Impact
Dynamic Response of Shells of
Revolution During Vertical ImpactInto Water - No Interaction
Dynamic Response of Shells of
Revolution During Vertical Impact
Into Water - Hydroelastic
Interaction
Comparison With Experiments
User's Manual - No Interaction
User's Manual - Interaction
Modification of Shell of Revolution
Analysis
Unsyrnrnetric Shell of Revolution
Analysis
Mode Shapes and .Natural
Frequencies Analysis
User's Manual for Modification of
Shell of Revolution Analysis
User's Manual for Unsymmetric
Shell of Revolution Analysis
TO
Author,,
Li and T. Sugimura
A.P. Cappelli, and
J. P.D. Wilkinson
J. P.D. Wilkinson,
A.P. Cappelli, and
R.N. Salzman
J. P.D. Wilkinson
J. P.D. Wilkinson
J. P.D. Wilkinson and
R.N. Salzman
A.P. Cappelli and
S.C. Furuike
A.P. Cappelli,
T. Nishimoto,
P.P. Radkowski and
K.E. Pauley
A.P. Cappelli
A.P. Cappelli and
S.C. Furuike
E. Carrion,
S.C. Furuike and
T. Nishimoto
- v -
Page 5
PRECEDING PAGE BLANK. NOT _LI_ED,
ABSTRACT
This volume is a userts manual for a computer pro-
gram which determines the dynamic response of a shell
of revolution during a vertical axially symmetric impact
into an incompressible fluid. The Program uses the
theory developed in Volume 2 of this report where nointeraction between the fluid and the flexible shell is
accounted for. The hydrodynamic pressures are deter-
mined on the basis of a rigid-body theory, and are applied
to the shell as a forcing function. The results are intended
for comparison with similar calculations derived from
Volume 3 and the UserWs Manual of Volume 6 where the
hydroelastic interaction is accounted for.
- vii -
Page 6
PRECEDING PAGE BLANK NOT HU_ED.
CONTENTS
I.I
Z.l
5.1
6.1
7.1
LIST OF ILLUSTRATIONS
LIST .OF TABLES
INTRODUCTION .......
l.Z Load Map . .......
PROGRAM FLOW DESCRIPTION . . .
2.2 Program Deck Setup .....
RESTART .........
INPUT DATA FORMAT.
4.2
4.3
4.4
4.5
DECRD Subroutine.
Data Deck Setup .
Call DECRD (DA) . .
Boundary Conditions .
4.5. 1 Top Boundary .
4.5.2 Bottom Boundary
Call DECRD (GDA). .
Call DECRD (CDA). .
• 6 • • • • •
SAMPLE PROBLEM . . ....
5. Z Sample Input Data for the Start from Zero
5.3 Sample Input Data for the Restart" . .
5.4 Sample Output .......
WARNINGS AND RECOMMENDATIONS . .
6.1.1 Choice of Time Interval . . .
6. I. 2 Number of Iterations . . .
6.1.3 DECRD ......
PROGRAM LISTINGS ......
Page
xi
xi
9
13
15
17
18
20
21
22
22
25
28
29
33
35
42
49
81
81
81
81
82
- ix -
Page 7
PRECEDINGPAGE BLANK NOT FILMED.
LXST OF ILLUSTRATIONS
Figure
1
ZFlow of Executive Program 157 DR
Model of Sample Problem .
Page
• I0
54
LIST OF TABLES
Table
I Description of Links.
Page
1
- xi -
Page 8
t
_ ,? 1.1 INTRODUCTION
The computer program for the calculation of the dynamic response
of shells of revolution during vertical impact into water when no interaction
is present is written entirely in FORTRAN IV and makes use of the overlay._'.J!!':J:feature of that language. The program has been checked out in NAASYS, the
NAA adaptation of the IBM 7090/7094 IBSYS/IBJOB system; and uses the
-_ NAASYS library routines shown in the load map, pages 4 to 8, inclusive,• _ of Section I.Z. r
The NAASYS input tape is Unit 5, the output tape is Unit 6. In addition
to:these files, the program uses Units 8, 9, I0, and 11 as scratch tapes,and Unit7 as the overlay tape. NAASYS itself is stored on Unit I.
The program is made up of an executive program and eight links, all
of which are called by the executive program. A brief description of eachlink is shown in Table I below.
Table I. Description of Links
Link
No.
0
2
3
4
5
6
7
8
Name
Executive
GEOM
CDAFIT
ACCN
DEFLTN
PATH
INTLDS
PSUMS
PIX
Purpose
Reads general data, DA, and controls flow of
execution of other links
Reads geometric parameters. Prints all geometric
input and calculated values
Sets up stiffness parameters
Computes hydrodynamic pressures onthe shell
Calculates the deflections due to the pressures
Controls flow after computation of deflections.
Computes velocities and accelerations
Computes internal loads
Outputs all computed quantities
A dummy subroutine for a CRT Plotter
- 1 -
Page 9
1.2 Load Map
PRECEDING PAGE BLANK NOT FILMED.
- 3 -
Page 10
^
-il
I
_t
tJU
fZ
ZIml
UJZ
(.n<[
0Z
t_0
<[t,J
Z
0
-J
Q
0 0 0 OI O' 0 0 0
• 1
_ -J z -
u.I UJ U.I UJ UU UJ; UJ
41_ _[ ,It O_ ,IC ,1( ,_, <[m. m. m. :, o. m. Q.Z _l
Z Z _- Z Z
1
' 1i
Z:' Z Z Z_ Z Ziml_ i.i iml
I
I1 I
" _1 _"
-4-
Page 11
- /
,It
G..el5-
)..c_C_5-uJ_r
4_
f,.
0
-rI.-
0,00,0
O0
r-op.4h..(,q
t/
",rI.-.
,_ N i1".- 0
000II
Zol
ZZZZ'Z ZZ_ _ _ _ _._ _ _I_
ZNq.D
0.J
"_I_IAI IAI
I I,-lO
e_Z:
_g
i
_ tl, tl,
e_
I_ ,.=l _tMt e U-
.J
@ • ell_ @
t&'_ ,_ f,,. NtN N _lq
N_ O_ ¢)000,000
:i _--__!_-° "uJ 0 s,) 7;0 Z ,.I
I--¢.9z
u,I..i
0
zc2Z
tl
uJ=[
Z
OiO 0000'000
I-- _. Z _C]!4.) I-- w,,- ,'_ e"
Z IAI t/) _' Z ,,.,* C_
_',<[ .J ..I =.1 -J_..$ _r ,_"
Z _0 _"!
0 0'000
I,-- IZ I.- _/'I>( _ I._0'_ I"-Z LU )" _ X IAJ X_U. • C£
_. IMU _I • o.-.e e_ e_ •"_l
I
-5-
Page 13
n
41'41'
i
1
V"l_
1,-, u- U,,
41,
00-'_
0 • JLL Im ,...I
LI.I 1,1..M.
,,0miniI%1
LaL
0,.M..
(%1',0p-
I, I
OJL
eO
_N NN N
i
• • J
,,0 I,_
:41, 4g.
• ,,,o i('_l
(_11%l N (%l N r_lNN _NNNN
ZZ _1 -J _ ..a
• • • •
(%1 (%1
Z 0
ON
-7-
Page 14
h-
ua
i
I
F
N _ 'N ffl 'N N N 'fit I_
E _ ..I
Z-- iZ uJ Zxujr_ luJ _- u4_
UJU ]14J Lu U4
i
-o I-."
Z Zua_ IJu
IJuZ IJLI
"1"
Z --,Z Z ZuJ [ P_u._ uJ l.u:_
_00 _0 _n 0
TU. Z U EQU UUW '_
N ;
.f
_z
m
Z Z :
_. '_ U_ I
I
II
O;
0 _-
0 ,._
I- 3:I-_ I.-
°•._ 0
f15 wr_
Ill 8
uJz
'_ ZU_
J
-8-
Page 15
, k
Z. 1 PROGRAM FLOW DESCRIPTION
An overall flow diagram of the executive program 157DR is shown in
Figure |. A listing of the complete program is shown in Section 7. I.
- 9-
Page 16
"\
I,/
• i I
S
i
READ TITLE ]p, Vo and W
L J _ t i
- 10
Ti_ - 0Rewind scratc
tapes
Read shell data
Set time
interval
TDEL
r
20
call GEOM
reads and computes geometric
parameters
2Sl'-Rewind Unit 8 1
D
Figure 1. Flow of Executive Program 157 DR (Sheet 1 of 3)
- 10 -
Page 17
TFILT, O
ii I
@
I , .,x, _oI1_ I i
I,c,alCRmT I! read and set up
I stiffness! pa_ters
&-_- oO L-T .0
<0
Figure i.
I
call ACCN
calculate impact
pressures
-1 40 ,
Call DEFLTN
calculate
deflections
I Call PATH
determines program
Computes
velocity & accelerations
>0
Flow of Executive Program 157 DR (Sheet 2 of 3)
- 11 -
Page 18
.:H
/..0
I jT "¸
outputs co_uted I
_0
_r .ooi
721LT.001
_0
90
= 0
80
Call PIX
Punch outputFor a restart
©Figure 1. Flow of Executive Program 157 DR (Sheet 3 of 3)
- 12 -
Page 19
2.2 Program Deck Setup:, J
As explained in Section I. Ij the deck is set up in overlay regions.
Each region is denoted by a $ORIGIN control card. A list of the setup is
shown below. It includes the control cards and deck names. The order of
these decks must be kept in the given sequence.
- 13 -
Page 20
I
• j,.
_rO1 Cards_ L_,: ..
":._.,"Sm_'rc
$ORIGmSmF'rc
:,$1BFTC
$1BFTC:SO.Gin$IBFTC _
$LBFTGSO.GIN$IBFTC
$1BFTC
$1BFTC
$ORIGIN
$IBFTC "
$ORIGIN
$IBFTC
$ORIGIN
$OBFTC
$ORIGIN
$IBFTC
SDATA
157 DR
MMPY
MADD •
CHAIN = - _ .
_TaY. •
c_...cnA,_TC0DSENTP
CHAIN..
ACCN2
PMAXX
CHAIN
157DRI
MSUB
INVRS
CHAIN
WHERE
CHAIN
157DRZ
CHAIN
FS UMS
CHAIN, SYSUT2,LNK6
REW
Subroutine s, , , Lu ,,
Main program
ADD"..
GEOM
CODIMA
CRVFIT
CODI/_A
ENTERP
ACCN
PMAXL
DEFLTN
MSU
INV
PATH
INTLDS
SUMS
PIX
- 14 -
Page 21
3. I RESTART
In many calculations, it may be desired to restart the program at some
time t s without recalculating all the response quantities from zero to t s. In
addition, if it is desired to calculate the response atmore than about IZ0 time
intervals, it is necessary to make a,restart (see Section 6. I. 2).
For a run from zero, the following indicators are set:
: o.oPNCH = I. 0
Here, the condition RESTRT = 0.0 means that it is a start from zero. The
condition PNCH = I. 0 means that at the end of the job certain quantities will
be punched on cards to be used as data in a future restart. Thus, part of the
output from this job will be some cards containing the arrays
TIMX
ZP(K, L)
ZZP(K, L)
Z3P(K, L)
OMGZ(L)
This punching is done by the executive program 157DR.
In order to restart the job, the following indicators are set in the
input data:
RESTRT : i. 0
PNCH : i. 0
Here, the condition RESTRT : 1.0 means that the punched output data of the
previous job is to be read as input data. The indicator PNCH = 1.0 means
that there will also be punched output at the end of this job. If PNCH = 0.0,
no data will be punched and no future restart will be possible. The punched
cards are put at the end of the data deck. They are read by subroutineCRVFIT.
- 15 -
Page 22
pB,EGED|NG pAGE BLANK NOT I:iLI',AED-
4. 1 INPUT DATA FORMAT
Data are entered into the program by three subroutines.. The
executive program 157DR reads the hydrodynamic data, and the DA region
of the shell data. Subroutine GEOM reads the GDA region of shell data,
and subroutine CDAFIT reads the CDA region of the shell data. The regions
DA, GDA, and CDA are read by means of the DECRD subroutine.
- 17-
Page 23
4.2 DECRD Subroutine- ....7.. 06 3.......
The data in regions
DA, GDA, and CDA is
read by means o£ the
DECRD subroutine, A
descrip_on of the sub-
routine follows, together
with a listing in i
FORTRAN IV.
DECRD Decimal Read
le Description. When a minus sign isencountered in column 1 of aDECRD data card, that card will be
read and then reading will beterminated.
The index of a DECRD card must
be wri_en to the extreme right of
the first 1Z-column field.
2. Extent: 78 locations.
3. Call Statement:
CALL DECRD (ARRAY)
, . Z. 4_3 _5 .....
2 O. -6 5 - _E + O.Z
• 4.9: . . . .E 2; I , " i "':/ ;;, * ;,,
- 7... 8_ 9.5. E. 2_
- 0 . 0......
2.9 75 ....... +3
1.2 3. 4. _ . 20 00
The first card will result in informa-
tion being stored as fo_ows:
ARR(1) -0. 7063E 01
ARR(Z) Uncha_ed
ARR(3) 0. Z435E-00ARR(4) 0. Z065E 04ARR(5) 0. 4649E 04
The - sign in column 1 of the second
card signals that this is the last cardto be read under control of this CALLDECRD statement. This card has
been written to illustrate some types
of errors (or possible errors) inwriting the data. The informationwill be stored as follows:
0
o
e
where ARRAY is the name of the
read array to be read. This argu-
ment may be subscripted.
Error indication: If the index field
is zero or blank, the comment"BAD DATA CARD" and the con-
tents Of columns 73-80 Of the
defective card _11 be printed. Thejob will be terminated,
Example: Assume a CALL DECRD(ARR) statement and the followingdata cards:
ARR(I I)
ARR(IZ)
ARR(lS)
ARR(14)
ARR(15)
O. 7896E Zl (Exponentmislocated or
incomplete. )
Unchanged (Treated as
a blank. )
Unchanged (Treated asa blank. )
0. 2975E 040. IZ34E 03
When no decimal point is written, asin the last two items, the data is read
by the E12.8 format: the number ofdecimal places is counted from thebeginning of the exponent field, if any,or from the extreme right of thefield.
0
- 18-
Page 24
000
n-U
U
kJualzalo
kJ
u-im i
II
i
_o_o___o o
A
d5 r-_O
0
if5 U ,.--_
I.--- J _ O
o N
O,-'_ -J_0 "_ ,..0_-, u.,_, Urn
_-0_
_o_
!1
I
I
o o o55 5 _
o
oO
uJ@
A
I--
Z
o o
_ ocI--u o
_ O
,-, t5 l
I--
U_ O
o+ Z) u
7,_ "_}
" e
_°_, _ _o3 _nO
<
$<,r-t
<I.-
123
_tn
on-
_D_ _'_ L_
ob
I
i
- 19
Page 25
It
2.
3.
4.
5.
4.3 Data Deck Setu p
Data decks should be stacked as follows:
Three title cards (which may be blank,
A card with VIN, RHO,
DA, general shell data,
if necessary).
WT.
read by executive program.
GDA, geometry data, read by GEOM subroutine.
CDA, section properties data, read by CDAFIT subroutine.
The data in groups 3, 4, and 5 should have a minus sign in column 1of the last card.
The following tables show the nature of the DA, GDA, and CDA decks.
:J
- 20-
Page 26
• f
4.4 Call DECRD (DA)
DECRD
Index
1
Z
3
4
5
8
II
IZ
14
16
17
18
Z5
Z6
Z7
Z8
Z9
30
33
36
37
4440
4476
Name
EN
AO
HO
BO
SIGO
POI
SPRL
UK
WK
TAU1
ENTI
PI1
MASS
CFE
CZ
SKFE
SKZ
SUM
TFI
RESTRT
PNCH
EMI
EMIN
De scription
No. of points along shell meridian
Reference length (in.) ]
Reference thickness (in.) _ For luo_t casesReference Young's Modulus (p_ _i ,_e.tto _.. C_
Reference stress (psi)Pois son's ratio
Location of spring along meridian
Spring value in _ direction
Spring value in normal direction
Length of total time interval from zero
Total no. of time intervals from zero to TAUI
Print interval (will always print last interval)
Mass density Ibs. secZ/in 4
Coefficient of viscous damping at each station in
_direction
Coefficient of viscous damping in normal direction.
Spring constants of shell under elastic restraint in
_direction
Spring constant at each station in normal direction
Fourier summing increment (always -I.)
(Always -I)
0. for start from zero, I. for restart
0. no future restart; I. restart cards are punched
See description of top boundary cDnditions in Section 4. 6.
See description of bottom boundary conditions in
Section 4.6.
Last card must have a - sign in Col .umn I.
- 21 -
Page 27
4.5 Boundary Conditions
4. 5.1 Top Boundary
When the boundary conditions on the top boundary are of the following
kind, a special flag can be used to specify them:
free:
roller:
fixed: = u e = W =_E = 0) = 3.
simply supported: = u e = W = M E = 0) = 4.
complete: = _g = 0) = 5.
In these cases, DA(4440) = 1. El0, and DA(4441) is given the value
1., Z., 3., 4., or 5. as shown above. Other special boundary conditions
may also be specified. As an example, the full boundary (which is also given
above) can be specified as shown in the following data sheets.
A
¢Ng = u e = W = ME = 0) = Z.
A
(u_ = u e = F_
- 22 -
Page 28
x_ _ i!:!_i?_:!:i:i:!:!;i?_;_:i?i::i'i::::::i::::ii_
ft.
_Z ::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::;i;i?i'!'!:i'i'i":i'!:i:i:i'!:!:i:i:_:iii::'i!'!i!i:i'_
0
P=l
i!iiiiiii!ii!iiiiiiiiiii!!iiiiii!!iiiiii!iiiiiiiii!iiiiiiii!_-:._,_._._._.:,_,_,_._.:._,:._.:.:,_._.:._.:,_._,_,_.:.:._._.:._._,_,_._._,_._._._._,_._._,_,:.:._._._,_._._._,_,_,_._-_,'.:.:._._._,_._._._,_.:._.:.:,_._,:.:,:._,:.:._._._,_,:,_,:._
!i!i!_iiii!i!!iiiiiiii_iiiiii!i!i!i!!iii!iii!i!_ii!iiii!!iiii'_,_'_'i'_';'_'_'_,_._,_-_-_'_._o_._._._,_._.;._._._,_,i._._..
:::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::iii!iii_i!!!iiiii_i!!ili!i!!iiiiiiiii!iiiii_ii!_i_i_i_i_:_'
_::::::::::: :::_:} ::::::::::::::: :::::I_.
L_
I
_°U
iiiiiiiiii!i!ii!iiiiiiiiiiiii!iiiiiiiiiiiiiiiii!iilg!iiiiiliiii::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::
:::::::::::::::::::::::::::::::::::::::::::::::::::
o
O_
- 23 "-
Page 29
_i;_!:___iii!_i_j
t_
_ , uJ..I
!_ o•t,,l ,1_
_ o,o , _
n: _ ,-_ t_ o
o_ _ _ _
f_ :!i!!!!!i?i!iii!!_!!!!!!!!!!!i!!!!_!_!i!!!!!_!!_:!i!_!!ii_:::::::::::::::::::::::::::::::::::::::::::::::::::::::::
:.:.:.:.:.:.:.:.:.'.:-:.:.x..:.:.:.:.:.:.:..:.:-:_..:._,
" !iiiii!iiii!iiiiiiiii!!iiiiiiii!iiii!!ii!!i!!ii!!ii::::-:':::-:::::::::::::::::::::::::::::i::::::::::::1 :'!':'.'!i!'ii.!!'i'?iiii!iii:iii'iii!!iii?!ii!'!!iiiii:_iii:ii::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::i_iiii!iiiiiiii!ii!!iiii!!i?!iiiiiiiiiiiiiiiii!iiiii!i!iii!i!il
:::::::::::::::::::::::::::::::::::::::::::::::::::::::::I_.., ',:::':':':'"'°_'":':':':':':-:-'-'":'/-:':'-_'_':"-':t_
• C 0
- 24 -
Page 30
4. 5. Z Bottom Boundary
The same selection of boundary conditions is available here as for the
top boundary. This time, the indicator specifying the free, roller, fixed,
simply supportedj and complete conditions are set as follows:
DA (4476) = 1. El0
DA(4477) = 1., 2., 3., 4., 5.,
according to the bottnd_y condition desired. An example of Other possibleboundary conditions ia giveni_ the data Sheets below. The exampie here isthe free boundary (the same as in Section 4. 5.1), "
Page 31
°. .
L. i .-..= • • ....
, • i m | '_
i--I. _!'!,,_!_ii_....i̧'__, .__
_ _ r ¸ /' _LI_.
D _
_l _
¸¸i¸¸,t4 ¸ '
c_
t_
_G
_o•I /:fJLI _-'
_ ":':':':""'":"":........""''"""'"_':" i:':_:::i:_:i:::::::::_:::::::::::::::::::::_:_:::-'::::i
LID _ .:-_:-:-.:-:':-:-:-:-:-:-:-:.:-.--.....:....:.:..;.
_Z _ :<o*,:.;ot,_o_,,o_;_,:,:o:o:,. ;,:,:.; ,,:,.,.,.,.,..__!::_;!:i:!_i:!:_:i:!:i:i:!:!:!:i:!:!:!:!_:i.i_.:!:!:.:.
_ {_ W___ _._:_:.:_..:.:.:,.._:.:.:.:.:.:.:.:.:.:.:.:.:.:..:.:.:.
OC
°OoO,Oo,°-.o,,,°_,,_,°,, ,,,_°,o,,,,OoOo °,o- °o °°.o,o,_ ,,°,°°°°,°o,.._,o.o°o._,,oOo-°Oo°o-,,.Oo,,.oOo° ° •, • •
.:.:::::.:.':::::::::::::::::'::.:.:..':_'.:-:.:.:.:.:.'.:.:.:.:_!:i:_:_:.":i::':i:_:_:i:i:i.'.':_::::::i:::!:_:_:_':i:_:i::':!:::::.::::::::::_:::::::::::::::::::::'...'_.:.:.:.:::::-:::::::::::::::.:::::::::::::.:::-:::.--:.:.:.:.:.:_.:.:.:.:.:.:.:
:'::::i::!::::"::!:::::i:!:i::i:ii!:!!!:i:!i!i!i!!!i!i!ii!#iii!i!i!i!i!iiiiiii!i!ii!!i!!!i!i!i_i!iiiliii!!i!!i!!!.::'!!!!!!!!!!!ii!!i!!i!iii!i!iii!_ili!ii!iii!iii!i!
_i!!i!i!!ii!!!iiiiiii_iiiiii'!:!i:i:i:i:!:!:!:!:!:_:::::_:::::::::::::::::.:::::.:.:::i:.:::::::::::::_:i:i,_,:
4
ic,
ol
Q
0
- 26 -
Page 33
4:6
DECRD
Index
1
.2
3
4
8
9-208
209-409
Call DECRD (CDA)
Namer
GMI
EN
PFLAG
ZA1RCAXL
!
ROFF
PI_O
PHIN
EM
RIPT
XIPT
De s c riptioni .....
Geome_ indiCato r:
1. = cm_- Cylinder
Z. : S_=S- toroid
3. = genezal discrete point
4. : a l,b_az_:_%mctions
No. of station points
Print indicator; # 0., prints all data
For GMI = 1. ; radius at station 1
For Gh4I = 2.
For CdMI= I.
For GMI = Z.
For GMI = I.
revolution
For GMI = 2.
in degrees.For GMI = Z.
in degrees.For GMI = 3.
For GMI = 3.
For GMI = 3.
maximum)
; radius of curvature
; axial surface length; off-set distance to center of curvature
; angle between generator and axis of
; initial opening angle from vertical axis,
; final opening angle from vertical axis, _
; number of RI points given
; discrete radii (200 points maximum)
; discrete XI - arc length, (Z00 points '
The last card must have a - in Column 1.
- 28-
Page 34
J.,.
4.7 Call DECR D (CDA)
The various tables are set up in this region as follows:
TAB (I) = No. Of stations given along meridian (i. e., stations
at, which value s change).TAB (Z) = Station, No. 1.
TAB_ (3) = Parana_er value at Station No. 1
T C4)=•Nextii,t t o, no.TAB(5} = Next partier value
.... .|" ,,/ . • .
[Stations and parameter values interlaced.
The last station must be the Nth station parameter value because
CODIMA interpolation routine will not extrapolate.
If +1.0 x 1010 is placed in TAB (1) the following parameter value is
constant (uniform over all stations EN) and its value is placed in TAB (Z).
4
29 -
Page 35
DECRD
Index
i _ I
2
4
5
6-41
Name
DTB
De s c ription
Extensional Rigidity
No. of stati6ns given, if = 1.El0, then a constant
_e_'tenStonal.lrigidity is given in 2' Stati6aNo. :[:"
ifCDA (:I) =r:1" _'_10, then this is a constant value of
e_tens ional: :rig idit y.
Val_ofextensional rigidity between Station I and nextstation
Station No. Z.
Value of extensional rigidity
Follows same pattern to DTB (20), value of last rigidity.
- 30 -
Page 36
y
DECRD
Index
42
43
44 !
45
46
47-81
83-125
124-164
165-205
206-246
247-287
288-328
329-369
370-410
452-492
493 -533
534-574
575-615
616-565
657-691
The last
EKTB
Follows
EITB
ALFTB
DNATB
TTB
ENTB
EMTB
PNTB
PFB TB
DZOTB
VZOTB
QZOTB
DFOTB
VFOTB
QFOTB
Flexural Rigidity
Delcription
No. of stations given, if = I. El0, then a constant flexural
_isidityis given in 43
Station.No. 1
" if CDA._4Z ) = 1. El0, then this is the constant vs_lue of
• ae 1.rig di - • .V__exural rigiditybe_ween station 1 and next
station
Station No. 2
V_lue of f!exural rigidity
same p_ttern to EKTB (ZO), value of last ridigity.
COntinueai above for the following quantities:
Young's ,modulus (E)
Coe£ft of thermal expansion (a)
I/Z shell thickness (h/Z)
Temperature gradient through shell (T)
Membrane thermal load
Bending thermal load
Normal pressure on shell (at reference surface)
Meridional surface pressure (at reference surface)
Initial displacement in normal direction.
Initial velocity in normal direction
Initial acceleration in normal direction
Initial displacement in g direction
Initial velocity in _ direction.
Initial acceleration in g direction.
card must have a - sign in Column 1.
- 31 -
Page 37
5.1 SAMPLE PROBLEM
To demonstrate the use of the computer program, and to illustrate
the format of the input and output data, the sample problem shown inFigure 2 has been calculated.
The problem concerns the vertical impact of a flexible body of
revoi_itibn_on0isti_g of a shallow spherical shell to which is rigidly attached
a heavier mass eo:_m_t_the_ur combined weight is 10,000 Ibs. The radius of
curvatuze of the_ shel_ middle surface is 175.6 ins., and the openin E angle is
19, 53°. ::, The shell _eXt6n_i_ and flexural stiffne S ses are both set equal to
3, 33 x l06 ibs/in. ,: Which c0r_esponds ton sandwich shell havin E 0.05 in.
steel facings and 1.9-5 in, honeycomb core. Other shell properties are asfollows: Ma,s per _it!s_e _rea = 9. 7 x 10'4 Ibs. sec. Z/in. _; Pois,on'sratio = 0. 33, and m_duius of elasticity E = 29. 7 x I06 psi. The initial impact
velocity is 30 fps. The hydrodynamic loads are computed on the basis of
the rigid-body theory ofVolume2 ofthis report, and are then applied as a
forcing function to the shell of revolution. A full discussion of the numerical
results obtained is given in Volume 2. Sample data sheets follow.
- 33 -
Page 38
b
//
/
tI
II
II
II
II
II
I
/I
I
V
IX
.6IN.
Fp
Figure Z. Model of Sample Problem.
- 34 °
Page 39
5, 2 Sarnple Input Data for a start from zero
In the present problem, we shall use a time interval of . 0001 seconds
and make a run to I. 0 milliseconds. Because it may, at some future date,
be desirable to make a restart at I. 0 ms. (to avoid recalculating the
response from zero), we shall punch some quantities on cards to make this
restart possible. They will be part of the input in the future restart. Thus
we set RESTRT = 0.0, and PUNCH= 1.0,
Sample input sheets are shown below for the start from zer ° .
- 35 -
Page 40
" i ,_" , ,L '
,°r " ,
Z •
i
i
!5
t-,m
(,,0!
a0
£::)
!ii_i_iiiiii!iiiiiilili_iiiiiiii_iiiiiiiiii!ii!iiiiiii__ !iiiiiiiiiiii!ililiiiiiii!iiiiiiiliiiiiiiii!iiiii!i!iiiiiii!il
,-";- ,..,,'7
0:::
iiiiiii_iii!i!iii!i_i!iiiii_iiiiiiiii!i!iiii!iiii_ii!ii!ii!!iiii!iiiii!ii_i!i#!iiiiiiiii!i_!iiiiii!iiiiiiiiiii:_iii!iii
ii!iii!iiii!ii!i!!iiiiiiiiiiiiiii!i!iiiiiiiiiii!iiiii!iiii!ii
i!i!iiii!iii!!i!iii!i!i!ii!i!iiiiiiiiiiiiii!ii!iiii!:ii!iii:ii:i:i:i:i:i:i:i:i2!:::i::Si;:i:i:::::!:i:i:i:i:i:i:!:i:i::.:....:(<.:<<.:_:<(<.:ox.:<<£<.:<.:.:.'.
i_iiiiiiiii_iiiiiiiiiiiiii!iiiiiliiii!iiiii!iiii!iiiiiiiiiii
[,,-.
i:i:!:i:i:!:!:i:!:!:i:i:i:.-':!:i:i:i:i:i:i:i:i:i:i:i:i:i:?o::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::
:::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::i:!!ii!i!i!!!iiiii!i!!ii!ii!ili!i!!!i!iiiiiiiiiiiiii!iiii!iiiiii:i:iS!:!:i:i:i:!:i:i:i:i:i:i:i:i:i:i:i:i:i:_:i:i:i:i:i:i:!:!
::_iiiiiii:i:!!ii!iliiii_i_iiiiiiiiiiiiiii_iii_i_i_i!ii!iiiiiii!:!:?:!:i:i:i:i:i:2i:i:i:i:!:i:i:i:i:i:ii?i:i:i:i:i:i:i
_ . i,,-,
r_
,,,0
°_
J
• r-4 0
0,) -_
• ,,.4 e-'
• r'-I _/) -_'-I
:::::::::::::::::::::::::::::::::::::::::::::::::::::::::'.:.:.:.:.:-:.:.:-:.:.:.:-:.:.:-:.:.:.:.:.:.:-:.:... :.:
!!i!i!!!ii #i!!iiiiiii!i!i!i!iiiiiii?iiiiii[i_#iiii!i!:!
===============================================================.-.-.'.'m-.'.'.'.' ".'.'.'.'.'.'.'.'.'.'.'.'. ' •" '.'.'.',
,. :<.:.: :::::::::::::::::::::::::: :.:.: : : : : : :...:. •
====================================:::::::::::::::::::::::===========================================================• ,............. -...
"...............................................:*:.... i!i::il::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::..........::::::::::.........::::::::::, :::::::::::::::::::::::::::::::::::::::::::::::::::: :.:: .: :<.:.:.:.:.:.:.:.: : :.:.:.:<.:.:.:.:.:<.:.-,
:.:.:.:.;.:.:.:.: :.:.: :::::::::::::::::::::::::::::::: ...................
_,,-, ,
0 Lt) C_,
I i
- 36 -
Page 41
a
.,,J
u 6
I""qmnmum,
g
1:3
0
ii!i_iiii!iiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiii:_
!i!i!i!!ii:iii!!!!!!!!i!!!!!!!i!!_!i!!!i!i!i!i!i!!!i!i!i!!!!!
:::::::::::::::::::::::::::::::::::::::::::::::::::::::::::: I
i_i_iiiiiii_iiiiiiiii!iii!ii!iiiiii_i!iii_ili!iiiili!i!iiiiii_Z o: w
ii::::.::::::::.:,:x:.::::::::::: _8i:i:i:i:::i:i:_Si::::::::::::::::::.:.:.:.:.:.::::_
_l_ _ • • e •
:::::::::'::'.::::::: :'.:::::'.:::::::::::::::::::::_', ;-. -:, ...-. ,;.:...-, ,, .;..- ...... ": -": ; : 1
i !iiiii!i!i!i!iii!i!!!i!i!!i!!!!!iii!i!!!!i!!i!!iiiii!!iiii!i.-.:.:,:.:.:.:.:.:.:.::<:<.:.:::.:...::.::.::.::
:ii!iiiiiiiiiii!iii!ii!iiiiiii!!!iiii!i!iiiii!ii!ii!ii!iiiii!i !!!ii!!!!i!ii!!!!i!!!i!ii!!!i!!!i!i!i!i!i!i!i!iiii!ii!!iiiii
_!i!i!iiii!ii;iiiiii!iiiiiiii;!iiii;i!iiiiiiiiiiiiiiiiiiiiiiii' iiii!i!iiiiiiiiiiii!i!iiii!!i!i!!!ii!ii!i!iiii!ili!iiii!'_
:i::::::8!:_:i:i:i:i:!:!Si:i:i:!:i::!:!SiSi:i'_:::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::
i:iiiiiii!!i!iiiii!iiiiiiiiiiiiii!i!i!ii!!iiii_iiiii!i!i!i!iii, • ,.,., ... • .............+..,..... • • ..... • ...,
.-.-.-.*.-..,- ..... - ............o • +. o........
!:i:i:i:!:!:i:iS!:i:i:i:i_i:!:i:i:i:!:!:!:!:!:i:!:i:i:!!i!!!:::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::"!ii!i!ii!iiiiiiiii!i!iiiiiiiiiiiiii!!iiiii!!!i!!!i#!i!i!i:::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::
iiiii_!iiiii!i!iiiiiiii_i_ii!_iii_iii!i!i!i:iiiiiiiiiii!iiii:!!ilili!ii!iliiiiiiiiiili_iiii!i!iiiiii!ili!iiiiiiii!iiii_i
_1_ _ • " •
v(,)W
O:W
Z
i-11-"I1_!1_,11_;I -1 _I1_I _i1,_i,_1 -!!"-ii_11_11;11;1
- 37 -
Page 42
m
0
I-ra
m
:] !
Z
0o , • t
0 _
_ ............ FFFFFFFFFX'FFFFFFFFFFFF:':':-:'FF:':"iiiiii!!i!!!iiii!iiiiiiii!i!!!iiiiiiii!iii!iii!!ii!i!........................... •..,...,
I.Fg:.F>gFb_.>F:._<q.F:.99F_.F>gZ-_-9:-F_-
:!:i:i:i:iSi:i:i:i:i:i:i:i:!:i:i:i:i:i:i:i:i:i:i:iSi:i:i:!i:i:i:i:i:!:i:!:i:i:!:!:i:i:i:!:!:i:i:i:i:!:i:i:i:i:!:i:i:!:!
....... -....- ..... •........ • .....,.,. -............ -
-- , _ ' !:!:!:!:i:!:!:i:i:i:i:!:i:i:!:!:!:i:i:i:!:i:i:!:!:!i!:'_
u._m _
_ _ ,
v
W
I
/ ]
- 38 --
Page 43
>
>,,
I,,,,i
u
C:3
i:::::::::::::::::::::::::::::::::::::::::::::::::::::::
Z :::::::::::::::::::::::::::::::::::::::::::::::::::::::::::,:,:,:,:.:+:,:,:,:.:,:.:,:.:_.:.::::::::::::::::::._0 i iiiiiiiiiiiiiiii:i:!:iii:!:!:i:!:i:i:i:i!i!i!iii!iii!iii!!i!i
:i:!:i:i:!:i:i:i:!:i:i:i:i:i:!:i:i:i:i!i]!iiiiiiiiiiiiiii]i!iIJ,. 0 :::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::
_ 'i_i_i_il;ii_i_i_iiiiiii_ii;!i_i!i!iiiii_;_iiiiiii!iii!iii!;ilZ :::::::::::::::::::::::::::::::::::::::::::::::::::::::::::
_ _ ::::::::::::::::::::::::::::::::::::::::::::::::::::::::i:i:i:i:i:i:i:i:i:!:i:i:i:i:i:!:i:!:i:i:i:i:!:i:i:i:!:!:i:i:
-- i:!:i:!:!ii:!ii!ii!]i!!!i!iiii:!ii:i:i:i:i:!:!:!:i:!:i:_,:.',:.:,:.Y,'..,:.:...,....::.::::.:,:,:,:,:.:.:.:.:_
::) •0•
v0
o
•_ _ 0 z,--1 _r. _
:::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::: : ;:1 : : : : : : : :,, .y.., y.....y.y.....-.y.y.....-...y.......y
i!iiii]!ii!!iiii]!i]!i_i)[!]]ii]i]i]iiii]ii]]]]]]][!!]]]iiii]:,:.:.:.:-:.:-:-:.:,:,:,:,:,:.:,:.:.:-:-:.:.:,:.:.:.:.:.:.:.:."
iiii_iiiiiiili!i_iiiii__ii_!!ii!i_i__iii;'!_iiii!iiiiii!i!!iiiiiiiii!iiiiiiiiiiiiiiiililili;iiiiiiiiiii_i
, ::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::
::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::
:iii!iiiii!iii!ii!i!!i!i!iiii!ii!!iii!ii##iiiii!!!_!::::::::::::::::::::::::::::::::::::::::::::::::::::::::_.:
0
0 • 0 _ 0
• o • • •
,--I I! I_
• I
L.
!]!]]!!]]]!]!]:E:]:]:]:]']:]:]:]:]:]:]:i:]:]:]:]::]:E_::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::
::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::i:]:]:i:i:i:i:]:]:i:]:i:]:]:i:i:]:!:i:]:[:i:i:]:]:]:]:!:i:i'::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::i:i:i:i:i:i:]:_:i:!:i:!:!:i:!:i:i:i:i:i:i:i:i:?i:i:i:i:i:i:::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::!iiiiiii!!iiiiiiiiii!!i!iiiii!iliiiiii!iiii!_iii!iii!i!i!i!iii:::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::i:i:!:!:i:i:i:i:i:!:i:i:i:i:i:!:i:i:!:i:i:i:i:i:!:i:i:i:i:!:!:::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::
:i:i:i:!:!:i:i:i:i:i:i:i:i:i:i:!:i:i:i:i:i:i:!:i:!:i:i:i:i:!:!::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::,:.:.:.:.:.:-:.:.:.:.:.:-:,:,:.:,:.:.:.:.:.:.:.:.:.:.:.:,:.:.:
::::::::::::::::::::::::::::::::::::::::::: ::::::::::::::::::::::::::::::::::::::::::::::::::::::::
o •
- 39 -
Page 44
_ _" zg
Q w
o
_o
8X
P__8
iliiiii_ii!i!i!!iiiiiiiiiiiii!!iiiiiiiililiiiiiiiiiiiiii,_
w !_i:!!i_i!!ii!!i!i!!iiii!i!!ii!:!:i:i:i:!iiiii!:i:i:!i!:_i
÷
iiiiiiiiiiiiiiiiiiiiii!iiiiiiiiiiiiiiii!i!i!ililiiiii!iiiiiiii
i:i:i:i!:i_i:i:i:i:!:i:i:i:i:!'!:i:!:i:i:i:i:i:i:i:!:i:!:!:i
iiiiiii:!iiiiiii!i!i!iii!i!iiiiiiiiiiiii!ii!ii!iiiii!iiii!i
_ .+
:::i:i:i:!:!:i:!:!:i:i:!:!:_?!:!:i:_:i:!:!:!:!:!:i:!:!'6i
_i_ii!!ii!_iiiiii!_!!i_!i!i!i!i!iiii!i!!!i_!_iii_!iiiii!!i!ii'ii_iiiiiiii_!iii!i!ii!!iiiiiii!i!i!ii!iiiii!i!iii!iiiii!i!iiii' ili:!:!:i_i:i:i:!_i_i:ili:i_!_i_i_!ii_i_i:i_!:!:i:i:i_i:!i!:i:
_i_iiiiiiiiiiiiiiiiiiiii_iiiii!iii!i!ii_iiiiiiiiiiiili!ililiiii_::_:_::_i:_:_:_:_:_:i_::_i:_:_: _
, iiiiii!!iiiiiii!iiiiiiiiiiiiii!!iiiiiiiiiiiiii!i!iiiiiiiiiii!i!i !!!!!!i!iii !!ii!ii!iiii!!i!!!!i!i!!!i!ii!ili_
I,,i,,I
zz
W
o _
o
,...-,u •
I
o qN c ql
qN
.. _ ,.,.
Page 45
i
Q,,
G,
,o,, z,..., g
0 tO
o_ _,
,.,-
hi
0 ZZ
owQ
::::::::::::::::::::::::::.:::::.:.::.::::::::::::::_::::::::::::::::::::::::::i:::!:i:!:i:i:i:i:!:!:i:i:i:i:i:i:!:!:!:!:i:!:i:_:!:i:!:!:i:!:!:!:!:!:i:!:i:!:!:!:i:i:i:i:i:!i:i,:!:!:i:i:i:i:i:i:i:i:i:i:i:!:i:!:i:i:i:i:!:i:!:!:i:i:i:i:i:i:!:!:i:_:::i:i:i:!:!:!:!:!:i:!:i:i:i:!:!:i:!:i:i:i:i!i!iii!!
!ii:i!iiiiii!ii!iiii!i!iiiiiiii!iiii!iii!i!!i!iiii!:_ii!ii!ii
.................. .o...,........,,........
i:i!iiii!iii!!iii!!i?!iii!!!!!i!!iii!iii!iiiiii!?ii[ii!!i?!i!:•:.:':':-:.:.:-:.:.:.:-:.:.:.:-:.::.1.1.:.:.:.:.:.:.:,:.:.:
#ii:i:i:i:i:i:i:i:!:!:!:i:!:i:i:i:!:i:!:i:i:i:i:i:i:i:i:i:i:::::::::::::::::::::::::::::::::::::::::::::::::::::::::!:i::' :!:i:i:i:i:!:i:i:i:i:i:::i:i:i:i:i:i:i:!:i:!:i:i:i.i:i:i:i:i:i
i!!!iiiii_!ii!!!:i:i:i:i:!:i:!:!:!:!:i:i:i:i:!:::i:!_.............. •.-o..........0..,°...........,.0:.:.:,:.:.:,:.:.:.:.:.:.:.:.:.:.:.:.:.:.:.:.:.:.:.:.:.:.:.;.
iii!iiiiiiiiiiiiiiiiiiiiiiiiiiiiiiii!i!iiiiiiii:iiiiii!iii!i!!
i!ii!iiiiiii!i!i!i!iii!i!i!i!i!iliiiiiii!iiiili!ii!i!i!i!i!iii
iiii;ii!iiiiiiiiiiiiiiiii!i!i;ii;ii!iiiiiiiiiiiiiiiiiiiiiii!iii :!:!:i:!:!:i:i:i:!:!:!:i:i:i:i:i:!:!:!:i:i:i:i:i:!:!:!:i:i:i:i, i:!:!:!:i:i:!:2:?:!:!:!:!:i:i:!:i:i:!:!:!:!:i:i:!:!:!:i:!:!:i:
::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::
:::::::::::::::::::::::::::::::::::::::::::::::::::: , ::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::,_: i iiiii!iii !:i !!i!i!!!!i!iiiiii!:i:i:!:i:!:_::::::::::::::::::::::::::::::::::::::::::::::::::::::::_-; :::::: ::::::::::::::::::::::::::::::::::::::::::::::
C:, •
- 41 -
Page 46
S. 3 Sample Data for the Restart
In order to restart the problem at 1.0 ms., the following input is
required. Note that the time interval must be the same in all runs. The
changes in data are indicated by the arrows in the data sheets. Note
particularly that RESTRT = 1.0 here. The output cards obtained from the
previous run are placed at the end of the data deck. They are read insubroutine CDAFIT.
The output quantities will be identical to those from the start fromzero.
42 -
Page 47
-rU
n
,9,z,-, g
o
z iii_:ii_i_Uiiiiiiiiiiiii!iii:i:iiiiiii!ii!i!iii!i__ ..........................i 'iiiiiiiii!iiiiiiiiiiiiiiiiiii!iiiiiiiiiiii_iiiiiiiiii!i!ii_i_i
x _ 'iiii!_iliiiiiiiiiii_iiiiiiiiiiiii!iiiiiiiiiiiiiiiiiiiiii!,i I:_ i_ :: !i:iiiiiiiiiiii!ii!i!i!!ii!i#i!!ilili! i
!i_i!i_i!!ii!i!!iiiiii!!!iiiiiiiiiiiiiiiii,iiiiliiiiiii!ii!iii!iiiiiiiiiiiiiiiiiii!iiiiii!ii_iiiiii!i!ii_i
Z _ - ii!iiiiiiiiiiii:ili:i!iiii:!ilili:ililiiiii!iiiiii!!i_ ill ii _! iii.!ii!i:i.:ii:,iil iii:i:, _..:..:_;_
_" i 1 i t i,o:
"' 1_r
z- [-- EI_
E-I _ _ [
I
o
>.
_ m '4._ C
_ j
-43=
Page 48
CI.
,o,, ,,
0
w0
',.0 Ul
:::::::::::::::::::::::::::::::::::::::::::::::::::::::: _5:! :::::::::::::::::::::::::::::::: :i:::!:!:!::::: :':':4:>
::::::::::::::::::::::::::::::::::::::::::::::::::::::::::: :::::::::::::::::::::::::::::::::::::::::::::::::::::::::
•':':-:":........... ;.:.:.:.:.:.;.:.:.:.:.:.:." _:,:.:.:-:.:.'.'.',','.t.'.t.'.'.'.-.',-.'.'.'.'.'.'.'.'.'.'.'.
!iiiiiii!!!i!i!i!i!i!!iiii!iiiili!ii!i!iiiiiii!ii!iiiiiiii!!il!i_i!i:i_i!_ii_!_#i_!_:_:i:_:i:_:i:i:!:_:_:i:_:_:!:_:_:_::.:.:.:.:.::.:.:.:.:.:.:.:.:.:.:.:.:.:.:.:.:.:.:.:.:.:.:.:.:.
( _ ::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::
(,,,) ":':':':':':'::':'::':.:.:':.:.:.:.:.:.:.:.::.:.:.:.:.:-:.
".-.','.'.'.'.',',m'.'....'...-, ...-.m.....,....,
:!:i:i:}:i:i:!:i:!:i:i:i:i:i:i:i:i:i:!:!:i:i:!:i:i:i:!:i:!:[:i............................
-- :::::::::::::::::::::::::::::::::::::::::::::::::::::::::::i:}:i:i:i:!:i:!:i:i:i:i:i:i:i:i:!:!:i:i:i:i:i:i:iii:i:_
a:::::g .._ . _ . ° _ . °,0_ _ o.oo
C
::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::.:::::::.:::::.:.:. :::::::::::: :::: :: ©....... :....:.:.:.:.:.:.:.:.:.:.:.:.:.:.:.:.:.:.:,:.:
i:i:!:i:i:i:i:i:i:!:!:i:i:!:i:i:i:i:i:i:i:i:i:!:!:!:!:!:!:i:!:.::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::
_.iil.i!i..i!il.!iii!iiiii!ii..ii.i.i!.i!ii/ii_' :2:!:!:!:i:i:[:!:!:i:i:!31:!:i:!:i:i:i:i:i:i:i:!:i:i:i:i:i:i
-,- .m-.-.-...,...-... •, • •. m'.,..m.....,..,.....-.-
, ::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::
.- ' .-.-.'.-.',-m..-..............-.....,m ......
, =========================================================
::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::
:::::::::::::::::::::::::::::::::::::::::::::::::::::::::.................. ,,,
- I o
t"-I
m
0 ZZ
Y
o
C
I
Page 49
O.
X
z
Z iiiii!!!i!iiiiiiiii!iii!i!!iiii!i!SiSiii:ii!Si:!i!ii!i:..:.:.:.:.:.z.:.:.:.:.:.:.z-:.:.:-:.:.:.:.:.:-:.z.:.:.::::::::::::::::::::::::::::::::::::::::::::::
X ,_ !iii!iiiiiiiiiiii!!iiiiiiiiiiii!iiii!iii!iiiiii!iiiii!iiii!iiii
'ii!iiii!iiiiiiiiiiii!iiiiii!ili!iiiiiii!!iiiii!iii!i!iliiiiiiii
_ .:.:':':':-:-:.Z-:.:':.Z-:.:.:.:.:.:.:.:.;.:.:.:-i.:.Z-:.Z-:.:'iiii!iiiiiiii!iiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiii!iiiiiii_ !;];i;!iiiiii!;!;!!!ii!:!:i:iiiiiiiiiii!ii!iii!i;!i;;i!iiii!;i
n-WO0
0 ZZ
v
w
I:i:i:i:i:i:iSi:i:i:i:i:i:i:i:i:_:i:!:i:i:i:i:i:i:!:i:i_
0
E-'
0
- 45 -.
Page 50
,o, z
w i
u _i =
:::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::: ::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::
X ,_ _i!_!!!i!!_i!!i_i!!_i_!_#iii_iiiii!iii!i!i!!!!!i!!!i!i!ii' i:i:i:i:i:i:i:?:!:?:!:i:!:i:i!:i:i:i:i:i:i:i:i:i:i:i:i:i:i:i!_ ¢._ :::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::
_ !!i!ii!;i;!;iiiiiiiiiiiiiiiii!;i!;iiiiiiiiiiii;iiiiiiii!!iiiii......................., :::::i::: ::2:2 ::::::-: ::::::::::::::::::::::::::::::
i_i:i:i!i:i:iii:i:i!ii!_i_i:i:!ii[i[_[:iiiiiii!_i_[:i_!:iil:_
=====================================================
I'_ , -i:i:i:!:i:::i:!:i:i:i:i:i:i:!:i:i:i:!:i:i:i:i:i:!:i:!:i_i :::::::::::::::::::::::::::::::::::::::::::::::::::::_1 ::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::
_ °1
- 46 -
Page 51
a
a w0
n_
°1__iliiiiiiiiiii!iiiiiiii!i_iiiiiiii!iiiiiiiii!i!ii!iii!i!i!_
°,.,_ !i'i!iii!!i!!iiii!!ii!iiii!iiiii!ii!!!iii!_ _ i!iiiiiiiililili;ili:ii!iiii:iiiiiiiiiiiiiiiiii?ii:iiiii:iiii!
-- ::::::::::::::::::::::::::::::::::::::::::::::::::::::::::=======================================================_:IIliii ...................
I'Y ,b ,-4 4 ÷
ii
tJ3
i:!:!:!:i:!:_:i:!:i:i:i:i:_:!:i:_:_:_:::!:!:i:_:!:!:_:_:!'_¸:::::::::::::::::::::::::::::::::::::::::::::::::::::::::°,-.,.-.-.. ,..,,.,.-...- °.°...... - - ..o,-.,. - • •..,-
'i:i:i:i:!:!:!:i:i:_:i:!:i:i:!:i:!:!:::i:i:!:i:i:i:!:!:i:!:i:!'
iiii!i!iiii!!!iii!iliiiiiii!i!ii!iiiiiiii!!i!!!!_ii!iiii!!!i!- - * - • • ,.-.... • ,., • ... •,........, . • -.. • -• - ..-..., • -.,,..- ..- • • • •. - •. •. - • - •...• .....,.. ,.. • -.- -.-.- ..- -.- ....-.,.,.-..,. •. •• • ............ • • -.,. /.... • • ..,...,...... •. •
iiiiiiii!iiiii!ili!iiiiiiiiii_ililili;_i_;i)i;ii_i_i_;_!_;iill:::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::
' iiiii2i2!iiiiiiiii!i!i2i:!!i!ii!i!i?}iiiiii!i!i:)iii)ii;_2i:2:2-2.:...;.:-:.... :.2-:.1:.2.:.:.:.: 2.:.:.r,-:.]
cO ,---I +
0z
vI.)w
_ O t¢
_. -- 0t¢
t_
_ t,¢30 _
- 47 -
Page 52
¢,),_ _ z
Q.
)-..I tu
Wa 8
a w
o U
0 uJm
0ILlXm
LI.
Z
rr
_e
Z
-:.:-:.:,:.:.:.:.:.:.:.:.:.D:.:.:,:.:°:.:.:.:.:.:.:.:.:.:.
___!iii!iiiiiiiiii!iiiiiiiiiiiiiiiii!iiiiiiiii!!iiiiii!ii!iiii!ii:I_ I:1:::2:::::::::2::::272:::::::22:::::1:::12:::2:::1::::::12:1
iiiiiii?iiiii)iiii!iii!i;i;iiiil;iiiiiil;i!iiiiiiiiii);!iil)i}
__ :::::::::::::::::::::::::::::::::::::::::::::::::::::::::
0Z
v(.3t_J0
cr_ 0
nr_j c
oO
Z
Um @
,.c:(J @
c
o
::::::::::::::::::::::::::::::::::::::::::::::::::::::::::
":':-:':':':-:':'D;'""'.'.'*'.'"-'.'.'-'.','.'.'-'.'.'.'.'.
:!iiiii!ii[!i!i?iii?i!i!i!iiiiiii!!iiiiiiii!iiiiiii!!iiii!iiii:::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::::.:.:.:.:.:.'.'.'.-.,.-,,.,..,-.....,.,.-............
i _ iii!iiii ii':-:,:':-:':'1':.:-:':':':,1,:-2":.:.:,:.:.1.1.1.2.:.:.:.:.2.:
' ':':'[,:':.:-:'[.:,:.:'[,[,[.:':.:.::.:.:,D:,7,[,:,:,:,:,:.:
i!!ii!!i!i)!:2!i!2!2ii2#ii!![!!i!i:!i!2!i22ii!i:2i!:!:i:i:I' iiii[iiiiiii!iiiii!i!i!!i!ii!i!!i!!iii!i!iiiii;!i!iiii[ii'_
:i:i:iiiiiii!iiiiiiiii::::::::_
:::::::::::::::::::::::::::::::::::::::::::::::::::::::::
::::::::::i: :i:!:i:!:i:i:i:!:i:[:i:i:iii:iiiii:i::i.:.:.:.:.:.:.:.:.:.::.:.:.:.:.:.:.:.:.:.:.:.:.:.:.:.:.:.:.:.:
'i iii!ii!iiiiiiiiiiiiiilii!i!il!!i============================================================
}iii_iii_i;i_iii_ii:ii_i__i_iii::i_i::i_i_i::;_iii::i::i!ii
[!ii2!!!2i;2i)i!i!i22i2i221iiii22i2!2iii!iiiiii525iiiiiiiiii[i!i!iiiiii!ili!ili!!!!i!!i i i i??!!iiiiiiiiii!i iN! :::::::::::::::::::::::::::::::::::::::::::: ::i:':, , .,1_,
- 48 -
Page 53
5.4 Sample Output
The following pages show the output resulting from the start from
zero of the sample problem. Letters in circles correspond to descriptions
below.
®®©@@®®®©®®®®®®®®®®®
First Title Card
Second Title Card
Third Title Card
No. of Stations EN
Radius of curvature, ins.
Offset distance from center of curvature = 0
Closed apex, therefore PHIO initial opening angle is zero
PHIN, final opening angle is 19. 53 °
Station number
R(1), normal distance from shell to axis
W(THETA) nondirnensional curvature in 8 direction
W(XI) nondimensional curvature in _ direction
RHOX(1) R(1)/AO = P/AO
GAMMA (1) p '/p
DTB, the extensional rigidity (constant over shell)
EKTB, the flexural rigidity (constant over shell)
EITB, the Young's modulus (constant over shell)
ALFTB, thermal expansion coefficient (zero)
DNATB, I/Z shell thickness (constant over shell)
TTB, temperature gradient (zero)
- 49 -
Page 54
U
V
W
X
EN
AO
HO
EO
SIGO
ENFO
ENFL
POI
THETA
PIXI
SPRL
UK
VK
WK
EMK
TAUI
ENTI
PI 1
ENTB, membrane thermal load (zero)
EMTB, bending thermal load (zero)
All these other quantities, read by CDR, are set to zero.
See Sections 4.4 to 4.7 for descriptions
= number of stations
= reference length
= Reference thickness
= Reference Young's modulus
-_ Reference stress level
= always zero
= always zero
= l=)oisson's ratio
= always zero
= always zero
= location of spring along meridian
= spring value in _ direction
= always zero
= spring value in normal direction
= always zero
= total length of time from zero
= Total no. of time intervals from zero to TAUI
= point interval. Here PIl = i, and output is pointed at
end of enc interval
- 50 -
Page 55
TAU2
ENTZ
P12
TAU3
ENT3
PI3
=0
0
0
0
0
=0
(always zero)
MASS = mass density
CFE = coefficient of viscous damping at each station in direction
CZ = coefficient of viscous damping at each station in normal
direction
SKFE = spring constant of shell under elastic restraining in
direction
SUM =- 1. always
ENI
DEL
BCITP
BCIBM
Y
= I. , open shell; = 2., closed shell; set in GEOM
= distance between station points
= boundary condition indicator - top boundary
= boundary condition indicator - bottom boundary
Full Tables of
D
EK
E1
ALF
DNA
Extensional rigidity
Flexural rigidity
Young' s modulus
Coefficient of thermal expansion (zero here)
1
_- shell thickness
- 51
Page 56
T
ENT
EMT
®
®
®
@
®
I
U(1)
V(D
W(I)
M(PHI)
M(THETA)
M(PHI,
THETA)
Q(PHI)
temperature gradient through shell (zero here)
membrane thermal load (zero here}
bending thermal load {zero here)
Full Tables of PN, PFE, DZO, VZO, AZO, DFO, VFO,
AFO, all of which were read as zero in GDA. [See Section 4.7
for their descriptions I .
is self-explanatory. It shows the time (t), rmximum radius
of the pressure profile (c), and overall vehicle velocity (V).
Maximum pressure is given in BG, and depth submerged is
not computed here.
is a column showing the station number from the apex (1) to
the boundary (120).
is a column of the total pressure acting at each station point.
Because the maximum radius of the wetted surface is 3._ ins.,
and the distance between each station point (DEL, see _)is . 503 ins., the wetted surface only extends to station 8.
Beyond this station, no pressure is applied. Note that the
maximum pressure always occurs at the edge of the wettedsurface, in this case at station 8.
This page contains columns of response output. The columns
are as follows:
Station points along shell meridian
Tangential displacement (ins) of middle surface in _ direction
Tangential displacement of middle surface in @ direction.
Here zero because problem is axially symmetric.
Transverse displacement (ins.) of middle surface (positive
outward).
Meridional bending moment M% (in Ibs/in.)
Circumferential bending moment M@ (in ibs. /in. )
Twisting moment ME@. Zero here because problem is axiallysymmetric.
Shear force O_ (Ibs/in.)
- 52
Page 57
Q(THETA)
@1
N(PHI)
N(THETA)
N(PHI,
THETA)
SIG(PHI)
SIG
(THETA)
SIG(PHI,
THETA)
@VEL(U)
V L(Vl
VEL(W)
ACC(U)
ACC(V)
ACC(W)
Shear force Qe- Zero here because problem is axially
symmetric.
Additional columns of response.
Station point along meridian
Meridional membrane force N_ (Ibs/in.)
Circumferential membrane force N 8 (Ibs/in.)
Twisting force N_8. Zero here because problem is axiallysymmetric.
Stress_g (psi) on outer fiber of shell.
Stress °-8 (psi) on outer fiber of shell.
Stress _O on outer fiber of shell. Zero here because problem
is axisymmetric.
Additional columns of response.
Tangential velocity in _ direction (ins. /sec.)
Tangential velocity in 0 direction. Zero here because
problem is axially symmetric
Transverse velocity (ins sec.), positive in outward
direction.
Tangential acceleration in _ direction (ins. /sec Z)
Tangential acceleration in t9 direction (ins. /sec 2)
Transverse acceleration (ins. /secZ), positive in outward
direction.
- 53 -
Page 58
I ,
Li 'iI ! ,IIC
Io, _i-i !_
_ C_ lipi 0 ,ILAJ 0 _J_
Io io !_IOL I.--
IT
Ia_ _ _, i
I_ LL
' i
I
-- 54 -
Page 60
oooo _ooo
,00 t",i ,,1" 4"
• • • ele • • ei_ W u_ u_ -,1" .q" ,,t1"_ <1" ,," _ i
L
0000000
• , _ !_._., _ _
: i
ooooog;_'o
O'OOOO :)_euNNr,,_r,_OOOO
., o ,,.,.,,,LU IUJ UJ I_ UJ .tJ U.I t,U ULJ
,,"* _ f" O ,4'00 _
O O _O O 'O O O O O
??????_
_ooooo_
• • • • ei
- 56 -
Page 61
0_000_
I I I I!l
OI_ • _!m
O' • ol e
- 57 -
Page 62
M*)
--,I
I=-
I*--
LLI
, L¸I e@', 0"0_ 0_@"_
•.,I' '_'"' '' _, uauu w u.l lUkl ua lu I
xi 000 oo
ooo _o.o
I
,,,!@
®
,,_
I==
Z
U.
w
G
¢,n
oi
®i
EJ
J
/ I'1 I I IUla W ,11.1 I_ I_1 U.i
I i
, ,i,&_ I.,_,_,,_ua I_I _II,I
0o!oo_001oo0
IIIIIII
ooooo o ooooooooooo0oooO0O0
•" _ o°'_oooooo,o°'°"_oo o.o ,o.o o.o,o_olooo.o.io,o._o.o.00 t0 0 '0 0
, |00i
ffl
000000_ _ 0 0'0 010 000 OlO 010 0,0 0_0 010 0:0 0 0 0!0
oo_ o_,°oo_o_ 0°_!oo,oo,oo,oooo_,ooo_,_o_o oio ,oo_oooIooooooo o, oo oo oto oio o_o o o olo .,..,. • •
i;;;d d d 0 d _ 0 nO 0 _ 0 O_O0'rOg _ 0 0 0 I0 0 0 0 "0 0 0 0 0•I
0_ 0, 0,
, ,_, , , ,., _L, I_',_ _ ' _ ' ' _'_-.u_-,_' ,i_d.l ul l,IJ M,I _I,MI_ U.I U.l _ U.lll.l_U.l ILl W_I_Iooooooooooo oooooo _oloooo_oooooo_oooooo,ooOe I 0 _0'00_000000_00100 0 000:(D
0000000000 00_000
0_00!O 0o._.o.p. ...,. .... o.o._.ooooo_o,ooo ooo. o,.o, o.o,
_ _i_ _ _ _ _ ,_ _ _ , _ --_:,UJt,U LU_MJ
oO°.oo°. oo.ool ooooo,oooooo,ooOoOoOO,O_ooo°o° o,o °ooooooo o_o o_o o,oo,o, o.,oo.. . o.,oo°:. . o.oo.ooooo.o.io.ooooo.!oo°o.o.o.o.o.. . . .• -_,-_000!000000iO00000!000 O00iO00000!O00 O00'0
I ' I '
_I_'_ #_ ,., e_ee_ _"_ _'_ _"_e_, _ef_ _e_ _I'_ t'_ :f'_,
"A,,',''' . ,,,,,,_,.,.-,,,--,, ,t, , , i,, ,,, ,UJ U.I UJ UJ i_l UJ L.U UJ UJ UJ iL.U t_l t,U _ I_l UJ it.LJt_ L_ _U,J t_ ooooo o,o oo,oo o,oO-Ooo o ooo,ooo,o o°°°o o°°°oo_ooo °°° oooo. o O0O0 !o0 t0 00, _ o._o.o. oo.',ooooo._o,oo.o oo,ooo, ooooooooo.iooo *, • o! • • • • •
00000 O00000iO 000001000 O00iO 00000',000 O00JO
o_>_I
_oo o
.2"_d
__!__''!' ' ''_i_ _ ''
o!o_ _oooo___0'0 00000o_o_ _
eeleee ee
oo!ooooooloooood
I
o,o oo_ _ooooooo_ooooooo_odd_ ....ioodddotodd_dd
1
mm
000O0
__oo__0000000 00000
i I
_ °!°O0 O0
ooogoooooogg!dooooo,o
_,,,_ooo_o ooo,o oooo_o_ooo_o_o_°'°olo
__I__o,o_o,o.,. .,.00000, O0000!000000i0
II
'''_000
ooo_o_._000000
_0_
, I ,_,li , , '
ooo_ _ooO0ooo_oioo__
coo e, eoo
_,_ _ _
- 58 -
Page 63
J_'''
_0 O00D
0000
o.o.o._.0000
O0
00000IDO000100000
I00000
I IU.IUJUJ uJUJ00000O0000100000
ddddd
tO'. 0" 0" O_ 0',
t lUJ LU LU LU tJJO000000000(DO000
OO000
O_ 0"0" 0_0',
! Iu.J Lu u.J uJ t.u000000000000000
,_ddddi
.I I
10000000000_OOOOO
gddgd
_0" O" O" 0_ 0,
w _ uJ &_J
_o_ooO(DOOO
OO
OO
o oo> 9 °.O0
0U.
'0N
0N
0N
en
"1"
O.
r_
_U
O.
Zn
®
I_UJO0O0
I F i
UJMJ _&_J _J UJ_
•_.• • o._.o.o.oo_ooooo_oooo
I it I it t IUJ uJ )U.I t.IJ t.lU UJ IJ.J tJJ i._l I.t.t I.IJ t.u tJ_
fill ,ii;"iI ' I ' I I I t I I'I ,i, I I I 'I,.-_ _..,,..,. ,. _u _dd_ t,lJ l,iJ UJ r&Lf
ooo oOOOo _o°_ooo _o :_ °o ooooooo o oo o!o oF:)• • O O • • • • • • O • el O • •=ooo_;o,o_og _; ooooooo_ ,
ooooo, oooo:o o. ooolo oooo o,o_ooo_o_ • "" ' _ _ " "_ooolo o o_ oo
_oooooo oooooo_oo_ooo_oo ooo._o. _ooooooo_ooo' o., , oo. o.,io"=ooooo;;odog "o'o'oo ooo ooooop
i
? , ,:, , TT T I,
0(_ UJ_J _J_ _J I_ &U !&_JUJ WJ UJ _J UJ _J _ _J_ U._!UJoo_ oo._o._.ooo00000 0_00 OiO
o.o.o.o. o.o.o.o. o.o.o.o, o,o: . el •0!0000001000000_000000!0
_i? _ _ _ _'_ ___;_l , , , , _l
OO,_DOOOOO_OOO OOO!OO OOO O!OOO O(DOOO O OO O_c"
o.oooo2_o.o.oooo , ooo o2o_o.o • . . . . . .!.oo.o oo.ioo o.oo.o • .o o _ o o _ _ o o o o o)o o o o o oto o o o o,o o o oto
i _ _ ,,I uJ /w t it' .,.,._'''_kL _ _I,, -,,,..,,,,.,,,.,,,,,,,,,,,,,,,,,i,----.,,-oo O'O O
O:O (_ O;O O(_ OOOO
_ _ _ _ _ _ _ _ _ _ r _oo oooooioooo oo o_ oo_o °o°°°d_ddgddd&Zddglddddd "_"o)ogd gd&ZZddddd
_ _'_i_ _ , il I I I I ',l I !l
"'1"' w ,,,!-,
--, ---, - . . -,--'_o o_ _ooo_o_ooooooo_. ........... _.o._.o.,.o.oooooooo_o_oooloooooo,oooooo,, ooooo
_l _i'' ,,,,_ _oo oooo..... _9 _
OO OOO'oo_oo O_O
I I I
_ _J LLJ UJ L_I
go_gg
Ill I I I IIJ.I I_ IJJ IJ=t I._ IJJOOOOOO(_D
oooooo, o• • o, •OOOOOOO
O_ O_0_ O_0_ 0_ 0 ,
I I IuJ
oO(DO(DOO
gdgdodg
III I
ggggdgdd
,_,,,i, _,
_ooo_o _ o_o_ _ _o_o• • _i_ ......OOO OO OOOOO O O10
___'_ _m! I
u!oOOOOOOO
- 59 -
Page 64
I I I I II I I I !IJJ ,IJI_WU_ _U.l' I
o :)otoooo! iO • • Oi O • • Or
i i
o_o o_0olo0
O, • O! O 0_1_ Ouo_0 o!o o o_
I !i | II i III _ILl ILU UJ iUJ UJ lU.I UJ _000_0100O0 0'0 010 0
. di;dgd_gl_ 0, i0, 0_'0_0, to, 0,
I I I I I II I
_00000t00
ii I I
i""_ddI
i'"I_._._,
. _ _'_
_1 I I
I I I:I
UJ I_LI __Ju.I
1
_ _,_,I_,_,I I I jl T
uJ u.I uJ ILu000_0_:)
000!00
ddgldd1
I I I I f_
000_0
I I I I
t.UL_oo_
00010
I
Page 65
®
I--
Q
.J
I=-
0 iii0 0
IU.* I,U0 00 00
• ,_
N N
o _i
!
0 _'
IkU UJ0 00 00 0
d
!UU000
0
f_
IuJ0O,0
O_
IUJ
oo0
&
fnI
uJoo
o
i!
0 _¸ .=*
UJ
00 0
0 _n
. it H " i
_ UJi
17, ¢I'
! I IW w I.Ll0 0 00 0 00 0 0
& d &
H II II II
I
000
,Y
U i II
-,I N: I_
W I-, IJ.I
.J
0 Z"r" u.J
o o, 0, o,0 en ! _n _'_
I I II.IJ ILl! I.IJ UJ0 0 0 00 O_ 0 00 0 0 0
4 • o •O: 0 0
II II II II
0 Z' _ _"
Ie_ Ol 0' 0'0 0 '. m m
0 0 0
" " d d
0l II
I,,"-LU
O_
i tLJJ_ ILlO_ 00 ¸ 0Oi 0
i: •0
II ! II
i
II.u uJ0 00 00 0
n II
Z
II II
Z _
N #
I
0" 0
IW UJI
o o i0
II IIi
i i_J ILl
00 O.
d 2 _I
II II
U u'_
00
UJ
00
0
rm
H
_rnn
CO
•,1" (_0 _I I I
uJ uJ I,LI0 0 0
_-- o i o
; dlg
II II
N
I
ii--
Zr_
u...J
v_J
UQo
I I I I I I I I
0) 0_00 O0;O 0_0OiOO OOOO!O O00 00_0 0
Oil • • • •
o io o o o o o o & i_
,i.&i&_,.o,,,w.,_..._,_,l,0010 0000_00_00
0 010 010 0 00lO 0'00 *oolo OLOO'O l o°=1., •o._o..,...olo o',o o o o o o:o c_
i
_§_oo0 000
d_dgdd_i
.,, ,.,,.,gt_u_uJ
o o ,o _ _ o_°o o_oo o o._o.000 O00!0
I I I I ,I I !I I I I I I il
oooooooooooooooo0:000 000000_000000000010
-,i, ,, -UJ,UJ _I _UJ
ooo!oo_oooOIO 0i000!00_00
o o,o g,d d d d d d & d ;dd d g d g igi
ooo o°oo oloo o o o o:oooooo O_.O0
o o o_o o o ._ 0_0 0 0 010
_bu uJ LI.I LU LU UJiUJ tU UJ 14J LU t_J LU L_J U_J t4J LU LU UJ
i000 000!000 000 0 O0000_.r.J
I
!.,,,,,,_,- - ,,,,_,,,.,, ,,.,_ ,,,_,,,,,,,, -- ,,- ,,,,1o_ooo_ooo_ooo_o o_oooo,o°o°°°oo0:0 0t0 O0 O00lO 0 0000;0 O0 00010
;odd gg "_...._" oloogggo,ogggggg
iuJuJU_ UJUJt_fWLU_J L_ _._UJiU._W_ WWUJ_,_
ooo "- _",_°°oloo _-_-°ooo:o_.,_-_-,--°°o o _-°°,--
Ii i
,,0 O0 O0 o!00 0 00o 000 00 O0
iuu uji._ uJuJ,,,iuJ,,,cu uJcu_u_,,,uuu.J uuuJ uJ_uJ
I000 000100 00001000 000;0
• • • e, •
ggg _ogggggg_ooiogg__:_ _;_LLIIJJUJIJJ. LIJU_UJLULUI_LULAJiLULULLILUUJLLliUJ
ooo ooooooooo,;ooo_,_ ooo_o_,_
mrn¢_._ e,,imen enm m_.,-_ mm!_-_mm _m mlm
-61 -
Page 66
0 0
0000000000
- 62 -
Page 67
ii_ _ _ :_ c,_ _ m I_ _ I_
, I l i 'l l &_j l ,1 l & , i ? i, l It l i i,m_'_mLU _W UJ UJiW WLU
o,o ooo oo_°o°8 ooO0oloo olo °o0 O0 !0 0 O00tO000t0
_¢Jc_cJ " " " ' ' ''ooioooooiif.OlO 0
_mm mm !mm mm mm
LLI_LLI UIJ LLIO0 O0
_00 O0oo o _ o_: o oOooo olo oo,o,o, o.o.o.Ro, o,o,, .,.Rio .,.o,o o o o o o ooooloo_ o!oo!oo
I
!I I i I I
_0000 00000
00000 O:OO88000000_000
¢;gc;c;d_iddddg_;
O0 0 h_30 0 0_000 • 0000000 0 0 _0 0 0 0t0 0 0 0_00 0 C3 ¢3
I_11 ii lil t:1 Ill &UI,J .c,,, t,&J_U,J *JJ_U.J IL.hI,U UJ_LJ,,I
00010010000000001001000010o o• o.'oo,Io' olo°.°. I .
000000_0 O00 O0
!
I I I I I Iijj uj u.j LLII.LI_III
o_ooooOOC, O00
Ggdood
00000;0
LL_1LLJ
_o_o_o
0'0
_ _ _ _ _t _I I t t I'1I,_J IJJ UJ U,J tUJ
0000000
oto
I:I I I I I
uJiUJ UJUJ iJJIIJJ0_00000O000010O0 0 0 0!0
dd,_d "'O0
I I IilIJJ UJ I.IJIJJ IJJikklO0000IO
OOOOOOO000 O0
00000!000000_C,
IJ.J t_ IdJ bLJ L.LJLLJ
oooo. oo
I t I I lilU._ LLJ IJU I.LJ tJJ, LLJ
oooooooo000000
00000_0
000000
I.,L,I_ bJ _ _J:IJJO0 O0,,..,..._ o ..._,..
o_o_o_otLJ _.1 _ _LJ U.J!L,LJ0 000i0
o_o_oO,o,0;,o0 010
I.,U U,J _ LIAIU.I
o_oooio
-63-
Page 68
I
O0
O;O00OOO00000
0 000
'11111
00000
0000000000
00000ooeoo
IIIII
_0000
00000
@@@@@
_@g@@
_o
_ i ¢_'_ ¢_'_
I I_1ILl IJJ ;IJ.I
o° o°_°°!°• _o
_,•& & -:&
0 0 0 0:0
"o=;_ (_(;(;
I I I I I IIJJ ilJ.; U,J I.IJ U.I _lJJ
o_,O000C)Iooooo_oooo.o.
e_ le,,l _4 i-_1 ¢xl ¢N
• • O • • •
1I
m_mmmmmI !1 I I I I
uJ ;uJ uJ uJ IJL; uJ
oo:OOoOOoo'00
o.!o.o.o.o o.OiO0000
OiO0000
O0oi_eooel • • • • •
iii
,_ :,4:) ,00
LulwuJ uJuJuJ
0_0
m!m_mmme! e
i
010I
_ _°_.1_._._._ _.
M_
I
I
' ° i*_
• .°°,_
:Io,o
I / I:1UJ _UJ000_00,_ 00
o.Io.o.oo_ oo
0!0 O001000
i/J!u.;U.; U.l
eq iI%__ I_40_000
0, 0 • •
,,-I .--i ,..4 ,-a
0,o, 0, 0,
l!l I Itu_i.&lu.; ILlOiO 00O0O000.,.0.0
i
i
0i000
u3 II.13liJ;._I
o_ooo01 • • •
t/J[_ _ UJ
i
®
_l O I I
0000!0 0 t0 0I • II • •
potoo
;,h&l&"_oo!oo_000• 01 @ •
Ioooo
I
_I l_l I
!0 0_0 0_0 010 0
IO o io o
iO
i0iN
I0
L=
i
I
t Oil I I III I I I:l I I I I I I I II,l,,I U.i IO,,I,I_&l I,_,_o,_.llU.; uJ :lJ,l U,I _,&l UJ ,,I,I U,,I UL_ I,LI IJJ IJ,I I,&;0 010 OtO 010 0 0 0_0 0 _000000
000_ 55
ooooioorooooo _ooooo!o
.o.o.OOOOO .OOOOOOoooooo °° °_ ° °' °'° I_o.... ;_,.01000 000000oOlO oo
I
!1U.liU.lUa Illu.I I;I I:1 III I I I I Oilo"_I_ooo_ooooo_ooooo ooo,o,_o o_o . • ._., o.o.oN oo o,o oo o o olo
1o otooo!oooo oooooiod_d_''.
IiL l l l l.u_l l,,iu.I
I_ i_llU.l_lllJJooooo ooooooooo,oo o o,o o o o o o,o o oo i • • • el • • • • • e _ .
_;gdoooooool°ooo_°ooooooo;
9
o,io, o,o,o,ic_ o,o_ _,,o,
I I I '1, o ,,,!'__ _..oooooooooooooooo.o o.o. o._o.oooolooog o!oooooo'ooo ooo_o
_,___ __I I I 11 I I I II i
C3WJUJ UJ UJ 00 C:) 00 00_ u'JLI,_ _.1 _U UJ _IJ U.I UJ iu.,l U./ t.u ;UJo_ _ 0,0i00
010o ° o°° o.o.o.o.o.o,oo.o.o.o.o...,, o.o.o.o.o...ddddooooooloooooo,oooooo!o
i I 'f_l.%
I I I I _I I I I II lilo_olo_ooo . o_o
o.io" _o o.o.o.o.o.o.o.o.o.o.o.o.o. o o.o o.o.i.o.o.ooo olooo ooo!o _ooo oiooo oo oo
1 , it
...,,,, , , ,, i_ _ UJlUJ uJi_oooo,ooo oo_o,o_
o.o.o.oloo o o°°.• • • o.o.o.o.o.o.o.io.o.o.o o.oo.,•
oooooooddooooooooooooolol
____ ,!,.%.%
oo oo Nooo_"'"'"'_ oo o;ooo°_ooooo_oio_o°ooo,o0 0000(_ 000000 000000i0
,._ ,.._ ,,-4 ,.._ ,..a .-4.--I fMi f%J
-64-
Page 69
i [ L L,.,.. °""° °"°'° i=,,0,v,_ _ ¢,,o,0,_, o,b,o,_ c,,I¢,,o,0, _ ,,,,,, ,,.,
I_ fq ll'q *'q _I *'_ ,f*_l fq [l'q ,(q"l *"q _
L l.U U,J eu Ua UJ I_I WI, U LU IU,J U.J U,J uJ I,_I U,J _,,J l,&J_JLJUJ L&JU.l IU,J _ La,J t,,l,JILU l.IJ UJ W _ W _ U,J U,,I PUJ0000010 00_ OOPC)O0 00 OIC)o!o oo OlOoloooopeoOlOO o
oo o_ OlO o_ooloo o OlO o_o OlO o. o,_°o o`o.o.o.o.o,N o.
r:_ooooo ooooo_)ooo_o o_o ooo!oooo ooo_o oooo,_.
ooooo.Ooo,:,oo:_oo_OO_ooooo,:,o. ooooooooo,oo.,ooo,:,ooooooooooo,oo._.ooO,Oooo,oo._.o_ooo• • • • eL, _ • • e el, e[e eL_ ele ele • • • • ele • • e • • eo,o00
I I i ;., i iI. l l , I II , , l I l I lii l II , II I 11 1 l l !l l _1 l _I l I , , i ,l , I l
uJ uJ . _J uJ IJJ uJ . uJ . ,,, uj u_ ',. uJ . u_ _ u_ . . . . _ _ u_ uj . l ' luJuJUJtiJuJlJJ uJUJtU
oooooo ooo ooooo_oooooooioooo_oo ooo_ooooooooo_ o.o.o.°o_ooooo_oooooooo,oo.oo_oo.o...ooo_.i. °°°°_• • o • • • • • e • • • • o,o e, • • • e, o • • • • • •
ooooo oooo oo ooo_ ooo_o oJ_ o:oo,o o_ oo ooo_o oo oo ooi , ' |
, ! , t i
I 0 u o 0 t0 I I o n o 0 1 0 i:i o I 0 _ _i* 0 o 0 o I_0 _ I o I ill o 0 0 0 uU.IUJ I_Iu.ltUUJ L&IIdUUJ tdI,IIAJI.LluJI_IJJ I_I:I.UUJ_IJuJII.UIJ.ItUtUu.IIAttUJUJ_ _i_ w I,Ul/d0 0 0 0 00_ O0 O00_ O0 O000 0 0 O0 0_0 0 0 0 00_ O00rO O_ 0 0 O0 070
000000_000000000000t:30000
! l I I I I I I !l I I I I !l I I
_i_:)U.,II.U i.,I.II.UIJ.,l UJ I.LI U.IUJ00C300
_oooo2ooo_o,oo.o" ,ooooo.. . . .,_,gggg _... i. o.o.q!
_ _ ,:.,,.,.?..,.LU t.U LU
_oOOoOO_OOooo ooo ooooo ooo oo o_,__--o_ddddo_ddddd_&dgd
i _ I ,
. , _
,,_??TT?,,???, ,i,,,U.,ItLi U2 UJ I_ LLI LU LU l,_I I._ U.I
, 0 O00 000_ O0o o o_ o,o o o o_ o'o
oo_ggggoogggd gg
I I I I I I i I ii i I I I I ',1 1 1,,_,_ _ _ uJ uu _ u_ u.Ju_luJ_ u,JuJ u_ _ lU.J_ uJ
_oOOOO oooooloooooo_oo000 . O00001000000_DO0
_00000 00 O00 000 OO O0
O_ O_ 0_0" O_ 0 _ i
,,, ,,,,,,, ,,,,,_ I,L.I U_ _ UJ'ud Ud I.U I-U II.U U.IUJ UJ ILl I./.lldd UJU.I0 0 0 O0 00 010 00 0'0 0 _ 0'0
O0 000!0000 O0 _00
oooooooo o_o oo o o o o oo oo o o oo
o io
lil
O IO
O iO
00000_0 O000000
I ii I I I I I I
oo_, ,-'"
_, _, 2 _,_,N _,_, _, _. R *°°,. ,
llW _ w !ILl_
o IO o o o o o _oo,ooo°_o °ooo_°°_oo °d gddgdd g dd g c_&_dd
0
@@ _I@ _ @ _ @@
,,??oo__0001000000
_JgJgg_gg
oo
I_oo_oo!oo_0000001000
_gggg_g;gdg
I I I I Ill I I I I I I
oo_ _ _ooooo_O0 OOlO
_:_ 00000 O0 0 O00 0_eeleeeeeeeooodd_doo,ooooooooo
_,_ooo'oo;o°°__'___!i!_oo_ooooo_' ' ooo'o...._'__oooooooo_°°°°_"'' ' ' ''_.......__°°°°_'_'_%_°'
000:0
10,
I I
0 _("
o.oo?.o 00',0
-,I, :'l.IJuJ
ooo,o
Uj / I_u_ i,,_ooOlO
O00!O
gg g',d
I !
o.oo.io.
0000
_.._._.OOOO
- 65 -
Page 70
0
0
L_J0
0
fet_
,,,,.,.,L_JUJ
oooo• .ooO0 O0
I I I I I
00000000
oggdd
OO000
ggoog
LU
. _. _. _. _.00000
00000
00000
'__,_,,,,-,
0000
gogog
t_
00000
dgddd
,17, I_
! !_jl_J
To.°_°°I00000
I '1
J_
8_
I
• .gj..i
888_o,oooolooo
dgddgld_g
_i __,_ 00_
0000000iO00
0" 0"
w"00
o.oO0
000;0
8_oooo_00000_000
O_ 0"
!Lul_J0'0
oo.O0
oo_ _0:0
000001000
_,oo_o_oooo o o.o.o.o o,oo oo' • • •
0_000000_000
Ouji_
°°o °°,oo °o°J,JJoJdglogJ
:I_J i_J
oo!o0i •
o !o
I !udUJ
olooio
I
i
oo_o_00000_000
_"" oio_
_ll_l,lll
_oo olooo_R _ _._• . _!_
O0_O_j_O0
I IwuJO0
ooO0
0 80
O0
oJ
UJLIJO0
oo.O0
LLIWO0
o.oO0
o oO0
i
000000_ __' 00:0
O0 • • • o_ •
00000000000 O0000iO0 00010
_1 I I I I II I :J iio,o oooo,oooooooooo,o oooooolo_ 8eoooo]o • • eoOLOOOOOOOOOOO ooooolo_oo_olo
t J
I I !I ' I_o_oo oo_o,o_ _o o:ooo_o
oloooooooooooolooooooooooooo
o;o_ ooo_o,o_ i_o:o _o_o _ o_o_ _._._ e!oo_.,.Om!O0 •
il I I!l
o,ooooooloooooo,ooooooooo ooi i i :
_I! I li! J I
o_oooooo,o_ooo,o_oo_ _oo_o__oo
",',,
w_uO0O0
dd
.?
O0
OiO0000
III
000 0o,,o 8o
I I
000000
0"
0
?__11
00000
000000
gddggd
_OCO
0100 0000_000 000;000 O0 0 0
0'.1_ '
I !1 I I I I I I I _ I I I I I
"_"'" '"' "'*' _ ouJ uJ uJtu._ _u cu
0,000 O0 0 O00 _S) O'O 00,0 0000 0 0000 0,000000 0
gjjj_j '_' •o,oogogoigoogJo,g
e,_ ee_
_J luJ uJ u..__l.IJ0,0_Noo °oo ooooooooooo!o _oooo __o
ddddddgi_ddddd_dddd_:d
I I I I
010 010
oo o o o o oo.oo o.o o,o o o o o oiogd!ddgg oooooooooooio
_lm ,,t" _n _ _1_,O_ _ O_ O_ 0_0_ _ _ _ O.-_ _.0olo o o olo
- 66 -
Page 72
wZ 0 ,,11"-- 0 0I-- I
uJ uJO r.- 0
un 0
Z
II II
Q --I X
I,.- he'
ii,,,- tl.J1
o gt
O ILl'
0 L'_
U,..:(23
°i
Q,,.¢;
x_
Z
iw
!w
!..j
,_, _!ooooo olo ooooooooo_@o oo o o,o_ _ oo oloo o_o ooo!o ooo,ooo o
e_N
- 68 --
Page 73
;Lt.,,¢
°888°°'° o,o88o8 °!° o'o o,o °8°° o ,o oo,o888_ °°:° ° ojoSo°°°ooo!o8888 o°8°oio oo8o 88o°*--,O O OO (DO,DO O O (D O!O OO OO (D_OO O OO O_OOO OO O _(DO O O (DO!OO O OO OOOO OO OOIOOOOOOIOO(D OO O;OOO(DOOiOOO OO (D_OO O OO_ _OOO OO OO
o,o_ggd dgdgo!o_ggdid_g " " "_"ooooddgdd_d_gdd_010
- 69 -
Page 74
I I,I lu. Ji.l.,I _ I.IJ _l..i_i._ _ i.ij +_/..i t.ij i.iJ ii, i._ I./J I._
°°o°°°°0°°°o°°°o oo o:o °°°ooo°o!o°°o°_°oo,o°°_°8o °o°°°'°oo_o°o°°°oo,o°°o °°°°oo°°000 O00_0 O0 000 O00000iOC, O 000!000 OOC}!O00 (Z_ O0'.C,O 00 00'0O00000000000000000;0000001000000000000_0000000
G G _ GG c;,_ GG G GG Gc;GGc_ "_.....: ! !
- 70 -
Page 75
TI I I I I I III.LII.I.Il.l.JI.IUI_U U:IILI.J
'o • • • • o( •
iO00000_0
m,,_4,,,,i w,,4_,,i _,i io,,d
- 71 -
Page 76
0I
uJ00
0
,..4
I!
w_r
I-
0
.J
Z
n_wI--Z
r_
Z0
p..
w..JU.w
I I / I I Itl"_ U.I t,IJ UJ UJ UJ I,IJ U.IlUJ
_'-w 00_ 0 O0o o_olo00 0 O!O
= ooNO_,o_oooioI..-
v • o] • • • •00100 Q O0 Q!O
I I I I I I I ;I
....
IJ.l"I.I.Ii,,"I" 0 0 0 0 0 0 0 0_0_- 000000000
000000000000000000
ggddd_dd_I I t I I I I I
0000000
UJ UJ UJ I.U LIJ III LU
un o,o oi_- _ o _..
_-- .-_ o oo o o,0
oo_ooo ot I I 1 I I I
M
3
LUlI_o oioooo_ °°
°Oooo.o.o°o.o.I I I I I I I
_00 0I1,1111
IIIIII
i
i
ooeoo00000Itlll
'_ _'_ _'0'_ 0_
.,, ,, .i ,- w _u,,,
_ooOO!ooOO_o°o°°O•....i000000
_1 I I I I I
.....
OOOOO0
0000
o.o.o.o.00000I I I I I
LU LU UJ
_nN _ _1 _ -_JO ,,I-I'-
_._._.o. • .... • .
T?__T__'''i''
_-_, ,_.. _-,°00000!000000!0000000000,00 O00000000O0000_000000!00000O0000_000000!00 O00
I I I I I _1 I I I I I _1 I I I I
i *I
I _ I:l
0'0 _ 0 _ 0,0 00
oo_oo o o_ o'o_loooooeieooo,
01000 O00 O00 000 0
IJ|J
;I_oo_o_ °_°• 0'0
'!' ''_0"_&_010 0 0 000 00 0 O0 0:00'0 O0000000 O0000000000000000001000 O00 O00 O000
d_d&ddd_d_dddd_IIIII
0.000000!000000}00000
_'0_ _ _ _ _ Oi_ _ _ __ _ _ _ _ _ _:_ _ _ _ 0!_ _ _ _ 0_ _ _ _'ON _ _!_ O0 _
IIIIIII
0000_ _00
' 1
_0
Iii
I ;wLu
O0olo
II0
oloI I
I
__.. .,.I I I I II ! I I ! I I I I I I
oooloo__g_ _ooI I I I I I I I I I I I I I I I
O_N_!_O___
_''_j_
I I I I I_I I I Iil I
00000000 000ooooo_ooo_ooo_ooooolooo o,oo_oooooo_o,oo°__000000000000000
IIIIII
lllll
IIIII
O0
ua!_
h-,O _
I I
¢N i ,'-'_
...10"
i
o!o
o!,4"
"i
III
i
mlm
O0
010
O0
o_o__ _,'.".'_''0,o?o
_o_o _° _o0 ,"_ _0_ IN'I_
Oil"- ,_" l%l _,1_0 _O_llm
I I I t I III I I I I I
t
..=, ,.=, ,=., ..,I ..=l N f_/ I'_1N f_J _
!
oell
I
_ _0000 O0 _._000000000000
II
_ __0_ _O_O_O _O_ 0_0__ _
_22g_j_2_2I I I I I I I I I I I
__i_°_ °o o
__o____Jg_dj_JJ
IIIIIIIII
00010000 0l I I I I I I I I I i I
_w_wwi_www__00_0_
__0_0__0__0_
jj;_J2Cj_j_I I I I I'11 I I I I t
-,,,,,,,,oooo
0
o°o°_000
000IIII
2_2'2t111
, ,',,_-,,,l_JU.J_I,LJ lllil.U
oolo o oo o,o _ _, _,_,o o000ooooOOoOo oooO0
• • I • • • • • • •0!000 000!0
I Iil I I I I I I
IIZ'h u'_
0000I_I I I I I I!1
,,_m g"_ o ,_! ,,t
_1 ,'-_ 0 _ _ ,,1" I_,-!0
I t I tli
f,r_, f_5
- 72 -
Page 77
i
_, 0, 0,
*,,,,UJUO!o oo
_dd
,..',,_ _ I_
OOOO
I ! ! ! I I ! I !L_U.JLU'UjLUU_Uj
o_oo_o
dddS_dg
, _o
I I I tl I I
I
_ZZ,, ..,,iltuj
oo,oooooooo00_ 0
dg "'"o_dggd
_0_ O00!0000_000 0001000 O0
_0_!_0_
jS_22222Zg
_oo_ oooo _oo
JJ_Jj_jj_
_?????o=,_,????
_11 I I I lil I I
,_,_,,,,
olooo
001000• oiooo_77_o ......
III IIIII
=_= _ _',
_OO_N_ _
i,,,_?? ?,,I___ _0_
I
ooo
,,0ao
...,I0,I!I
Iilu.I _u,JO0
0'00 tO
e'.0!0
0'0I I
u,J u.I
I',-0
J,2
i_ll,,,,,,,,_I_ _!_
_oolooooo00 00 '0 0 _0
0_0001000 O0oo,oooI II IIII
O_ O0II II
I I I I III I I I I
_° o_ oo
dddd "I"o,oddd_I I Iii I I I I
00000;00000
_''_'"_
0,0 O0o;o_oo_I
_1__010,:,??77
li0
o,oo_oloo o
000000
IIII
?00000IIII
___
III'III
o_o_I ii I I I I
UUlUJuaua wua,4" ff'.-
el •
I Ir
O_O, , ????
i
o,o.° o°°°oo000000
77?o I
IIII
mm_
??u,.I L_I
O'4"
I !
....i N
I
__ _..._oo_'_ _777
IIII?II, I
O0O0
7_-_i_,,
_: 0i0 I,0!000000iO00 O0
_,o_oo_o_010 00}_000 00;0 O0 O0
_!dddd_ "_"o,oggg_lil I I I I I I I I I I
OlO00000!000 O0
II I__I__''_0__
o:e_g_jjJjjgg_I!11 I I I I:11 I I I
olo_oo_o_
I! I 1 I_1I
OlO olo
i
_ie e}e
Oo 010o00!000
O0 OuO00o!o
I
7ooo; o,oo ;,, ,i?, , ,77_
__N_
_22Jjd_ggg_I I I:I I I I I I I I I
I!1w !uJOOo!oO Io
0 ;0I ii
O0
IAJ l.m
',_ ira'
0" il_mlm
! Iu.J lu.i
OO
! I
ooI I
u_!,,,O_
I I
I IuJuJ
_8
?o
O
OO
_oOOO
I t
O0
Z2I I
..,_ ,¢M
I I
0 _0 P,'_
I'1 I
0_0I_I _
LI_;uJ
m',O _
lil I
"i""
el • •
i
oto ?I I_ uJ
,o 0 u'_
! I
I I I III.l II,J I,_ !I._
ooo o,oo*o
• _.*_.O<_ O,c
O10
4'';' t_ ;LIJ
co_ ,OrO
_ o',,,-:®
e_N ,-._i...w
---:-0000
OOoOoO(DO00
0000
I I I I
.,...5_Z_5o
I I I
???ooII
I I I I I
-_-,. u,..l_u.l
ooo_o,o0_0
oOoOoOOOOrO
0 o 0 010
l I Iii
I I I_I
ILl U.J IJJtl.
I I I 111
tt
_o
- 73 -
Page 78
I
I/Jw
_ooooo_8ooOOOO
o.o.°o°88oo_ooooo_
L
' I
o_O
,ggdd, dg,ggd
0 0000,??,,,_,??
! ! I
000_ _
_o o
0 O0 000
g_2_djij_IIIlll_lll
OOOOOO_OO
OOOOOO_OO
dddddd_dd
_IIJU_ LU_LUU2 U2_
OoO_OOoo_oOOoooOOooOo_OOooo ,°°_° _o_ o 8 _oo oooo oo._ °o o.o.
I I I I
.......,,..,,,,,,,....,,.. ..• • O, • • • • • • •
, I I ,t I I I I
' !! I I
OoOOOOOoOOO_ Iooo oo_o°°°°oo°°°°°_ °°OOOOO oo_ io0,:,o8o oOoOOOO oo_oo_oo
(DO0
: I !I I I I I I I I I
I
000_0, ,,,o77oooo?77oo , ,?
_4 _'_¢_I.-_,,t,--_(_, _%1_ _0 4"_m _0_0,,i'I_.,O_r_ Ol_m,O,,_"
I I I I I I
-I_S $
I I I!l I I
oo_ oggg_°_?°o .g0,_o,_,ooooolo - °Z,,,, ,,,,,, ,,,,,-,,, ,,..•u _u.IuJ u_luJ uJI.u u_I._
I I I I I I I I I i _ i
.,._...,, , ,,.....-,!,,,,i,-,ooooooooo!ooo oooooooooooo§ ° oOoOOOOOO_OOOO O O O O_O OooOo_OooOoooooi_OOOooooooooooo°
O O OOOOO O
O d .I. (_ .'.o',odddd d_ddddddddo,oddI
I I I I t I I 1 I I I!1 I I I I III I I I I I I
o°_88010
oRo°°oo_dG! I I
iI • •
I :1
oo? ?ooo_ooooo.., , , ,., , , , , , , ,, , , , ,
• • • 0 . I!1 I I .i' •I I I I Ill I I I I I I I I Ill I I I
i
_ODO0000
OO000OO0lllllllll
,_ _ _ _ _ ___n_
_o__
'' '' 'I'77I
_=_ !I I
8 8_o
GGG I
0 _0
0_0!_• • Oj • •
_',_,_000_
_OOiO00_0_
Gd_iddI
?ooo?III
_0_
Ill
m_!mo
/_g;JgIII
%%%1_%i ,i,-!-,,,,oo olooooo_oO!O O°
O OO!OO
Iilii
0,0, O,!o,_,
(DOI I ?Om I I
LLI _.1 LULLI
I:I I I
,,,,,I _,,_ ,,,,11%1
- 74 -
Page 79
®
l,,,-
.1,.
I--
o.
0,.
C9uo
k--
UJ
"I"
I,,,-
IIi
0,,0_ 0,,, 0,,0,, O.,O_O_ 0,_0 ,,
i.i.l
0 ¢(3
oOoOoo OioooOO_oo o._oooo°°°o o oooo c;oo_o_o c;d
I | | I_1 I I I !
oo o_P,
I ,! ILM _ U,J _%
QIO 0oioo_0_00oloo_
0i o • •
o!ooo0It I I
oi°_w !t_
i_ it _..
o o ,o o :o P,P,U.II_ _ I,LI IJJ iUJ _
• • o; e
•,..,.o .=._ ....._ mg . I _ J_,. M'_ e-.4 _.0 _e....,uV?e,..4 ' ,
,., ,-...,_o..rUd
,_ o°_°_o,oo o_o_"T" • • • oi • • • e! •_. oo_oo_ooo_olo_Z
" _!N3_ olo_o
l.JJil._gLU I._I _" i"M 13J"= 0!0" ,-_0 _-_ LU_LULU
P,,.-!M'_t,--_
! .... Io o oi°°°° ,o o; oo''o;
_ _d IJJ k_
o4 ¢%1 -,,_ 0 0", t,('_ ,,.t ("Y C0 _ _4"_ rY 0',
t
-,,',-o,=,, ,,l._ ilJ UJ _
0 0_0o_ oo
°°o.°°°°_,_oooooo• _._.d,:;o,ooo o oI
o_oo;;;
! I I t
o_o;;;;
_ _._i.-:_ _ _.o._'_I_,?,_,????
I I III
oOoOO,Oo_oo°o°°oo°OrO
(:;,:;c;_;....' 'i'?oo?
;oo,o_o_-0_00000
_ U_IW UJU_UU_
• • el • • •
I I
oo_ooooo
_ _ oi... _"'"
I
I
, ,_,, , ,,,,,I, _'_Z-,,oooooooooloooooooo o,oooooo°ooooO°o.,oo!o oo
oooo oo..... o o
OC) OOg_ N'No,oo_g;
M't_O_.IUJ III LUiUJ
el • • i •f_ I_ M_ rM ¢_I _ N h..-,0,-.0,-I O'_P ',-
I I I I I I Iil I I I I
010
luJ u,J u,,J L,U_LU
_,o _,_ _'__=_.,-,o _-_0_
TiTT.???I, ?TT,
a, _,0,
,=,....,=, , ,
00 O0
oo°_°o°°° o!oo°°ooo!oo_oo°o°o° °°o°o°°°o.!o......... ooO0 00!00000
'i'???' '!'
oo_ o ooo ooo o o;o
N
Illliii I I I I I
_g
mmmm
I
oI_o oo°_°o°o°o._o.o o
0000
uJF_J
=,_._ o
I I I I
!LU _U.I
I:1 jI Ii.lJ :UJ UJ
o,oo°o°O0 _
el • •
C_O _ ,-._
o!o ?UJIUJ _
I';t ! O
I
_!m ,,, mmm
I
lll'l
ooolo000_0
00010
000,0
ooo_o
000;0
,I
_m
I
LL_
-,_-±_oo0:0
_oo0000
o ooI I
W _uw
I I I:1
o o o,oI
m ml_
0 ,,-I N
- 75 -
Page 80
Ii!
_ooo ,ooooooo _oooooo!ooooo°o°_ooo oooo ooo
ooo_OC, _00°o. .......Too o_o o oo_oo,_ooooooooodo_oo_ olooo
I I I I I I _1 I I I I Iil I I I I Iil I Il
._,.,_,-,..,,_,-,O00iO00000iO--,- ..,000 000!000000_000000!0
0 ,0
m!e,q ,0 ._
: i
0_
, i
I I_I I I I',,'," " ,,','" " .',_ _. ,,,000000_0000001000000000
oooooooooo'ooo° oo°°ooooo,o OOo!o° oooooo°°°°°oooio ooo o ooo!ooo
"" oo;;o_ogodo gd! I I I I I I
-,,,-,, ,. ,., ,, ,, ,,,U.I'ILlI.Uil.U _ ,--0 _J l.l_IJJ LLIIU.II_I IJ.iO" u'_ _'.- u'_ .._ ,0 !00 0_ a0 ,t_ ,_1- O, O, .=.,i00 .=. .-.,
P.-- I,t_ _t" .,0
I I I
ooo ooioo Ioo;""-"ooo,ooo_°°°°°°°° :I I I I Iii I I
00!P_ 0 _ ,01,_ _'I" 00 _I _ t_ 0".-_00,_aO,@000n ,4"
i_ _'®_'• • ei • go qp • e' • • • • • • • • •
,h"O0O00:0
O0I I
_'_ .,00,"
e e
OOO0
t,_ I.U
mo
I IuJuJO0
_ooO0
I I
o_(NO0
I Iu,,lU,J
o_i¢%
I I
_f_
t
I lI I I I I i! 0,,u_
oo_ooooO0 O00'0 0
Oooooooo!ooo• o.o.o._o.o.o. o.o.
_o oo o o oio o oI
?
0000
I I I II.,I,,Il,,l,J
o,g!I',-
99 ,_,,,_oOO_ oO0
I I
O0
III I I
P-N
??o?oo,oooI I lil I I
,"0 cO ,-., _:) mie,.I .4" O,
' • • I • o
il I I I I Iil I I
ooo o,I,??LU UJ UJiU.I _ UJ
el *
0, 0, 0,]c_
,, ,,,,,LIJ _ l.IJilJJ
oooioOooO0 0 QIO000;0000001000
dgdigd_I I III I
0 OQOI I I I I I
l.IJ I.I.I ILl I.U UJ LLI
i
I I I Ill I IU.IuJ iiii_ iii
_OV'--,O _ e,_,ONO"
I_ ll*iN N N N N .-4 .=.I...=I
I IU.JI_000_0O0
O0
??
,.00
I I
wuJ
I I_LJuJooooooO0
I I
e,_ e,,4O0I I
LIJUJ
,'_0P-O
I Illluj
O'u'_
_.'t.
_, ,,,,, ,,,oloo _, _, o,oo,oo_o_o,o_g_.,_.
r
?i? ° °, ° ° °°,,
#i_¢#Z..'_'..,
,,.d, _-¢ _-4 _.4 ,,.,4a,-,I _-4, _-4olo o o o o oo
I!1 / I I IIIIiLI.IILl UJ _ UJ I.LI_LU
O,Um _ N_I I_I__- I'_-_t
_,_,_ _ _ _ _,._,lil ',1
LLI'LU
°_°o°o°o°°°i°oooo0:000 000_0oloooooo'oodd g d _ 0,_;
I
0!000 000_0I',1 I _ IuJiUJ w ILl IJJ LU kLl LU
e_ • • e ee •
olo o _ oo o'_oIll I I Ill
0, i._ _ Lla i..i.., bl.l i u.l
• • • el •
.,._],-o _ ,.-o .-o _. _)lao
t 'f,.-I'- aO _0 aOi_
- 76 -
Page 81
I II I I
O00000_O
00000000
OO000000
I|1
QOOOO
00000000
,_
1
__°ooO0
00000000
I
07000'0?± ,,,., ?U.I IJJ k_J _lJJ _I
;¢%1 ¢N N_,4 ¢'_
III_&_,_OOOO_
OOOO!O
OOOOiO
I I I II
_NN_N
,,??,
OOOO
O
_$0
,.,,-- .,,°°o°°o'°_oOoOoOoOioO
• • • e_ •
O000!O
m_mm!m
OO;O
? ?.','i"
• • e_. o
i
°°°2';I I I I Ii.,ig kl_l iIi
e! •
•,,,','1"_ m m Im
I i
0000 OKDO0 O00Io0 O000wO
0000 O0 O0 O00_(D 000000
00000IO O0 O00iO 00000i(D
OOOO OOOO OOOiO OOOOO_D
?oo??t?,?oooo_o,, ,,, ,:,----°°,,°?99_ _ _ ,,.,,,.,,.,,,,,,,,,,_,,,,_ ,,,,.,,,,_,,,,
'O O O OO O_OOO O O OiO O O O O OiO
,.., '---''---'''ia00_ 0"% 0_,O _-.-_0 t'40 O!.-_ m% ,O O _t% e4iO _
, i
UJLU UJ *I.U
OoOo oO,OoooooOOOoO,O,o8°°o°oo _0
_OoOoOoO_o°oOo°OooooOOo°°oo°_o!o !o
• • • i o, i • • i • II e • • • • • •
ooooo_oooo?oioo ,, , ?77o_?i
m mmm m!mmm mmmtmmmmmmlm
7o7 ? 7777oo7,o00!000 O I I !
I I I I I uJ/,,,lUJ LU UJ UJLUUJU_III UJ UJ LU UJ UJ II1UJ U.J
• • • • o', e • • • • • e; ••_ ,.0 u,_ u"_ _,"_ IL_ _' -,1" ,¢" -,.'.'t _" ,,.,?" ,,I" ,4" ,,1" t_ em!f.e_
o'0 }
,,L,,,,.°,.,.?,,.,.,°,
., .?o__l.ld _A 1_
_ Ooo2, _,-,-olof,gooo-= -¢
OOOO
OOOO
OOOOOOOO
dgdd
OOO I
0000
I
oo_m
I I
cole
?°°?
??ooII
??ooII
_._
31v
U
A
>
w
_2
U
v
U
U
w
/UJ
o _>UJ
UJ
..g
bU
O
Z
W DI.U
; >.J
_D
,03
I,IJJ
:O
,0
O
'O
O
IUJ
ILl
t_
!(7'
f,n
I
O
O
:O
I
Io
I ,
I,
-77-
Page 82
O0 O0
_ooooooooooo_ooo_0000_O _0 0 O 0000000000_0 0 _ 0000
dgdddd_ddgdd!dgdgddI
I
I
I I I I I _,
0000_0000
0000=00
Illll OIII IIIIII
'''_'1'_''"°¢_ °'''_000000100000010000000
ooo oo,o o oo ooooooo ooooooodld ooo,o
:0 wDO,4-O,,Ir_NOO00 m O0 _
o_ _ _, _,_!_ _ __o_, _ o_ o_o _ _,_,_,o,o _,ooo oo_ _'_oo o,o _,o__,_ o_o_,'_I"o__,_ o,o_t.U _IJ U=l UJ _J I,,U iUJ I_ I.U tJJ I.U LL_ L_J U.J t._J U_J UJ MJ IMJ UJ _ _ _ _i_ _ _ _ _ _1_ _ _ _ _ _i_ _ _ _ _ _ _
o! • • o! •
I I I I i I I I I I I Iil I I 1 I I I I I I I I t I I I I I I | I I I 1 I I I I I I I
Z _i;_; ig_" ?,°!oo _,_, o oo; o,oI I I
UJuJ uJ uJ uJ_UJ uJ,uJ
, _I0 ,-_ W_OD
,,,._ ,.-I ,-,_ _0 .0 .4" IO_ e_ ,-_ I",.. ¢'_ ."_ .IP ,0 0 _ _0 P'- P',' ,,0 _ _t'_ i,4" _ _ °_1 -,_ ,'_ "-_olo o o o o_o o oo oo o o o o _ o
: i i
i Io,lo,o,o,o,o,o,o,o, o,o, o,o,,o,_ _ _ _ o,,o,o._ _ _ _ o_,o._ _ _ _ _ _ _ _ _,_ ._._,,,, _,..,_ _,.., _ __.e_'_ e_e'_ _ t_ e"f_A'_'_ ('_'_'_
,,,, ,--,,.,,,,,---., ,,1 "' '"O0 _00000iO O0 0:0O0 000000 00 C_
;OOO00010000 O0 O0 000 0 O
°°o. ooO0 0 000000 0 00010 000010 0 0 0000 O0
.o!o° o o. o.OOo.o.o.o. ooo.!o,oooo.. . • oo.o°o°.. o.o.o.o.o o. o.o.o,o.io"o,o.o.o.oo.._ooo ooioooo ooo oooooooooooooooc_ ooo ooo_oooooo o
I I I I I:11 I I I I I I I I I I I I I I I I I I I I
I
' i
IIII IIII1
_J l.,IJ MJUJ
r.-oo
m m m ,4".¢I I11 I:I _"
i
WWW_
llllll
llllll_
e! • • •
,,TTT,, ,,, ,
t_J _ t'_Jit_J
, o , ,,,,,_,
jj_jj ',.I I I I I I I
- 78 -
Page 83
!
O0 0 00 OOQ_
lloll io lli_
, ,??Tl, , , ,77
I
_'' _ _
_ _'_°°
o___''_''___ _ _o _ ,_oooooo oooooo oo oo_oo_ ',°°°O0
_OO OOO_OO OOO_O OOOO_OOOO OiOOOOOOiOOO
' I; ! i
IIIIII
ii ; I I I I l I I I I !I I I I I I I I I I I I 'I I I I I Iil I I
i '
ooo_ _ _i_ _oo o_ _oo,o_oo000 Q'O
,__,,,__,_,_ ,i, ,.,
I I I I I I I I !I ! I I I I
I
_??__ _ _,__,_ _,,_,,,??_?_,_,,,,,,i,,_T_,,,N888oo_oo _oo_ooooooooloo ioo
_ooooo_o_o_ oooo• .I.0.-- • .,......
" " _ O}OO OO 01000O0000_00000 0 O000IO000;O 0
_1 I 1 I I I !1 I I I I I I I I I I I I i I I
i
4-I._O(DO
11111
lllll
_5_5q_IIIIII
I
0
OI
____ooIIIIII
IIIII
I I I I I I1t I I
_2dIIIIIIIII
- 79 -
Page 84
o o _ _, _ o _ :__ I_oo oooo
tuw ud Lu uJuJtu;uJuJuJLu u_ _i_uuJiuJuJ
• • .. .t ..... °, I_.
I I I I _ !
I
' I
!
.._ .._ iO 0i0 0 0 ,'4 .'_ _ ,'* "*1" .'_0 o 0 O0O00000000000100000010;
tM I,,Ig l.&l U.I gJ
,0!_0. . .i. • .• e! • • • • •
,-.=!_ c_;N ur_leo ...o ,,..4,..d_ ,,'_i"_..-OO' _0 I" '0I _ I I I I I!1I I I I I I I!1
I: i
, ,,, o _', _,,, t.U U.IIJ,.I M.I U.I(U.I U.J,L,I.Iuu,uu = _u =lw uui= = = _ ¢u i_ / on _i"'''"'o _oo oo,oooooolooooooO_=oooo!ooooootoOoO_ ="'o oooo0 0010 O0 O0 0000000 0000._o ooo_o=o ooooo o_oooooooo oo o._.o, oo_ooo olooooooo o_ooloooo, ooioo, o oo_o .• • • • • • • • • • o, • o: • o; • • •
0 0 0 O0 0t0 0 0 O0 0!0 0 0 0 0 01(_ O0 0;0 0100 0 0 0 OiO 0 0 O0 010 0 0 O0 O0
I liI
==_==,=, ,.. ,.,_._-.-,,=-====i-,,,= ,..,= ==,=_,,,= ,,"=.
• • 0,, !_ _ i.,,. i_ _ ,@ o,,l._ U._ ,_p..41.._p f_',l !rf_ f,_,_ f_'_ N N h'%l N N ,-.o ,,-4.,..4
I I I I I I I I I I I 71"_' I t I I I I I I I I I I I I I I I I I I I I I I I I I I I I
I
Iooo,o_ ?:, _,_ooo,o_o oooto o o!o¢3_'o*_"ooo[oooo oo
LI..J _LIULI.I U.I U.J (UJ U,=t U.J LLIU.I U.JU.I W Ug ,U.I U.I U..I U.I _ t'_C_LU U.I U.IIU.I I.U L,U UJ_U.I
_ P,,- I",,,,, t'_,l ,_" ;0', P,,- ! 0'_ ,_" ,,,_ t_"" et't ,,,,-0 _'_ t'_l (_,_ I'*" P''- _t%l
M"I ,,-I 0 _ ..t1-11_. ,-I _ I"- ..t iit_
,o _,_' e • e,o
I I I I I I I I I I I I ,I I I t I I I
o o o olo I n
O0 000 010 O0
o o. o o o. o.!o.o. o.0 0 0 0 I0 0 0, , I ?? , !l , I
i
_Nf%l
_,, _ &&,l, , oL_ L.U LI.J LLJ IU.I UJ UJ
I I I I t III I I
!
I I I
oooio oo _,ooO0 010
_oolo _dd
('_ (%1 ('_,11('%1
i ! i I IUJ t.IJ UJ ILU U.I I_
_ ,,0 mira ,o _
I I I I ; '
II
=! i :@,@, @'0 _ O' O_OnO _ 0'0 _ @IG _ 0 _ O" 0'_,0 ' 0"!0" 0 '_ 0" 0" 0" 0"i0"
I I I I III I I I I I I I I I I'1 I I I I lil
_&,l_t.l,.I I,_l,u,J U,J I,._ Ll,,J UJ u.I U..I tt= g,.,I t,L,I I,,U I.LI U,.J t_,._IUJ Lit UJ LULU I.I,Jil,_
O0 0'0 0_0 0 0 0 0 010 0 0 0 0 0i0 0 0 0 00iO
00000000 O0 0000000_0 O0 000_0
o:00oo ooo oooooooooo oo ooo=o• • e I • • • • • et • • • _ • e_ O • • • • el •
il°°oio,oooooooooo,,oooooo,,,,,,oo,,_:_ o'H_'m _ m mira _ m mm m!m m_ mmm;m
O0 010 O1000 O0 o 0 O0 0000 0 o o 0 0_oI I I II Ill I I I I I I I l I I I I I I I I I!1
idlj LM I./JLM U.IIUJ l.kl IJJ LLI I_ UJ UJ UJ I._ UJ UJ I.LI tU I.U L_J _ _ _ _
=_ .... . ...................I'1 I I I I I I I I I I I I I I I I I I I I I'._
iI
- 80 -
Page 85
O. 1 WARNINGS AND RECOMMENDATIONS7. 1 PRO(
0. 1. 1 Choice of Time Interw_l
The proper choice of the appropriate time interval zXt is important
for obtaining good results. If At is too large, the response will be highly
damped and inaccurate. On the other hand, ifA t is too small, the program
\\ill take a large amount of time to run. In the sample problemAt of 0. 05 ms
\vas used, which gave good results.
0. 1. 2 Number of Iterations
There is an unidentifiable bug in the problem which makes it necessary
that a restart be made after about 140 iterations through the shell program.
Should 160 iterations be exceeded, the program will "blow up." Therefore,
it is recommended that the job be run in segments of roughly 120 iterations
betxveen restarts. The method of restarting is explained in Sections 1. 3 and5.3.
o. 1. 3 DECRD
The subroutine DECRD is in the NAA program library and consequently
does not appear specifically in the source decks. In installations without
this program in their library, the subroutine should be inserted in the zero
link behind the subroutine MMY.
-81 -
Page 86
7. 1 PROGRAM LISTING
- 82 -
Page 87
0000
000000000000000000000000
I
oo ooo o ooo ooooo,o oooooooooooo.ooooooiooo_oooooloo0_00000000000_000 , 00000_00
OIO 0000 000_00 0000 00_000000000000000001000000'00
tA.IJ.f_f_
ne
= jf,_ur_ O.
•1,0 O,
l-
,,t
aoo,Z ,_
° d
..J _<[(;3 ,-._ 1[
O:
_j 7 _('M
-_C3U- >
7
O000iO00
o_,_o,ooo0 0000
00_0000O0 0'000
O000iO00
k-tU...JC_
I" ,UJ
I-- O_Z L> I
Z
Z _,,,z
_" ..JZ
Z _ C3 _k_ _JJ, l.l..h- .-._
_ _,,_ Z I !_/_
I
-83-
Page 89
oo ,,ooooooooooooOiio ooo,oo,OlOO0 ,.,_ ,..0 ,-* _,.-a ,..0
O°oOoOOo_oOOooOOoOOOO ooooooooo_OOOO ooo_ooO10OO OOOOO_ 0 O'.000_oooooooooooooooooo oooooooo°oo;oooo oo oooooooooo oo oo o ooo oo oo o'o o_oo o o o olo o o
D_DD_Db_D MD_*DDD_
.85m.
Page 90
O000_OO00
0000000000000_0000O000_O000000000000
000000_000000000000100000 O0 O0
000000:O000000000001000000;O00
oo ooo,ooo oo,o oo o ooo,oooO0 000,000 000 OOlO 000:000O0 0001000 00:0 0 00'00 0001000
C3
UJ
N
Zb.I
e_
c",.Z
W LIJ¢/t
I.-
LI-
_'-, A ¢._ (_)
p,,,. ,<¢ >,,.
_...=1 l./=l
t
_i_ ,, ,,
,'v' LL _ _t,I.. e_.
,0 ',_.-
I
I,,.,. _
...lipuJ_
C_
_..)_
e_ Z
,,,,,I -- N,(_',a _ _ o i _"0 : ZZ
I'm _'""iC_ Z II II It!Z li'_I..."Ji"- l' , r'_
i
_ oio ,"!
tI '.
e'_
...I
0"r
juJ tl.
< _r 0 C3
Z_ oi'r" II "4
; II II II J II
I n II It_, IIN II II
Z Z_lJJ 14.1
, !
oi 1
>.,.
1-,t,I,J
QuJ
f,,JI.IJ¢3
.J
C3
L)
- 86 -
Page 91
I
iiiml i.il _ i,.11a_l i,-I a_l !_1 _w-I
OOiO00 00_ ,..o ,., ,.., ,_ C_'000_0 O0
001000 00_ 000_0 _0000IC)O 0 000 000!0 000_00 00_0 0000,0 0
O.
I-- UJUJ ,_u'J =)
I-. uJ
0
Z J
..j n_0 0_J Z
,0N
Z_
,=_U.lZ
l=ml=.0W-
-Q
Z_
o-:m
,.dU
UE
0
u.
Q.
x_EO
k=.cm,0
-J
e.,_xx _ P,,,,
Z
w
u"l_
W!
:IE,YC_Z,
_. "r.,l-
I'M i,,
,i, 0o. ,,-i
" i
n,,
u,31g
e_l,-
_M
.,,.I C_ ;E_U,J I.,- ¢._E:_ ..I_,- uJC3
I.,- ,.J.,,,t _uJ
0 e_l-- 011E (_ X(:3
I! X I_ ,,,.H _. U,J_'
r,- UIJ _ LL iU,. _ _{ Ul,,.I ee_
,,,.0 i,_,1¢,elU', 0 Ird
i
Z0
X.i iii
..I , ZU.UJ I.u
u.I"I"3t
I!-kll,,.
N
iU.J
m _
o o
!
i ;{ f
iii°'°°°°°°°ii0'00000000,0000_000000'00.00_000 O000000000000_0
_0
'z
;UJ,_
S,- ,Z I,.,,,.-,Z
C_ _rv' ,.,.,0,.
,_ uJry"
0
u.,; u.J
uj-r
Io ww(_
!o < -_I-- 31: eZ
io "_?*i !_,,_ |! (%1
'2 e !&_ g
• t).,
__, _. _,( _._im Q"t_ _"J
-I
_ zN,U.l 5"
llm_
LU
I.I.
-87 -
Page 92
00000000'0
000000000000000000000000000
tN
0
rn" _,
L/,J ,,_
r._ II.j
e_0 "
J
W_
_10.
Z '..,J
¢M
m,
t_ o.
_4
'.
m
_L O_ OCsZ
!
- 88 -
Page 93
I
i
00000
__NN_
000000000 '000000000 0O0000000001000000O000000000iO00000
00 _
I,_._0
dz i
Z
0
I0 ,-,
,_..
U
e.
U _
l",--
w÷
Z
_Z
0
- 89 -
Page 94
ooo oooooooooooooooooooooooo,o_,_oooo,_'o0 O00000 000iO 00000'0000000000 O00iO00000'.O000 O00000000_000000000
0O"
I
QD
_J
C_
-90-
Page 95
, iJ
OOO OOOOOOtOO_::)O OtOOO O_OOO O
0000000000_000000!000_0000000000_00000,000
OOOOOOOOOO_OOOOO!OOOOO
9Iml
ZM
=J
I
_0
Z
,v
Z
I,-
I.=-
Q.s-OU
K>- i--r.. W
s._ UJ
UI.-I,LaOii,
L,.) q,J
:[QuJ
:;)i I,... i,d
¢D! _Y
ILli I
4_ 41" 41,_4F
ZO
O*
0[
IJ..O
I--,_[_¢_4F
I--
O.Z
.J
.J
I-.-Z,i
¢D
NIZC3Z
i.
C3l-=.
U,.,.l
Z
I,=*.
Z
,.i.
i..,
x
_'- :Z::Z
I0 *=, -.:i,.,Qj ,.=i I,=.,.
;k.-_J l,.IJ
Z_ U :_ (:3 U.U_
C::) --I i.- *- _.9 '_[:3
_- _- c'_ _,,. uJ _. v'_ I<[_J I O_ "_
{:3 '_" 0_ li-- _ O1{:3 *=.,(3Z LU UU UJ *,,, ),- *_[XZ"_ Z mr Z_ Z ,=_!_ _
)" I I I:1 -,*i II II IIUa _, E'E {3 (3,QOOOiOIJJ • • el * * !"'*,=J_(3 ,-* i'M_"_i4' ¢::) !,I[X:Z
Z
(D
.JZU-t,IJ O.
41,
0000
u5
iWX
p.-_<
lu i.=. 1.-!u_ ::_ ,,_' l--¢:3 u_ LO
:E::_ Z,l-e_ u.JLu **_,"_£ _;,I..=I.L.C3Z "IU.l UJ I.I,. ,i__.J--J
IJ.l: (=9 i._
,"."!(:3Z --_:3,1-- <[ (.5I.--_ Z,_ !U.,;_ ,,q[
=)_<[ Z 7s.) d.,- I,_ .-.,
U- i" C:)
..JC)
* <[!Q. Z Mr_l ¢_ !C:)_.=.*LL
II
-- II ':11 II II5rL5
_,O. ,N.
W,
OOO_OOOOOO'OOOOOOOOO
ZOiiiIiS,bILl
.J
Zs_
_lJJ
n"I-.l_C_3:71--I.LJ.,,JZ
IJJZ _ _,b _--*
0 _._ _
f_ ,Y u.lb*
I.L.IJJ C3C3 _r_ uJ
0 * iu'_ U.J _
C_-- II ! II II_" ! II
il-. t-- ¢1_
ooo_ooo000:000O _O O iO O O
Z
I,- J'_ O_ 'O NUJ !O _'
,-, != .J,l, .lI O _.'I[ i NO
_ ,,n (,%;
"r ¢3 IE _,I-- N b'l r_"
U
_ ,ONO
li '0 t'_ 0iO _ CXJ
J _
IZ -.. _
led O _0
• _..I I%i
- 91 -
Page 96
000000000
000000000000000000000000000000000000
0000000'000000:00000
0000000000000'000000000000000000!000000000000000000;00000000000000000000000
_ __ O_ _ _
0000000000
0000000000000000000"000000000000000000000
- 92 -
Page 97
000000
,,.i _ ff'l 4" ,_'l _0
0000,00000000000000000000
0.4"
0t,r.._
,-., 0 r,_
_ .-.zII _ UJ
I
"='u-- _(-._"Z Z II_'* kkJ
•,=J I|_ _=J II IJ)
Or_'_ ZZC_t,._.)Z ZI.LI
000'000
oo o o000'000000000000'000
_nr'LIJ
0 Z
.J
I
c_ wN _Z
io
0 I.I.I• Z
O
OO
O0O0O0
XX
Z
N •r_lm
Xl_
Z
..i uJ x
,< Z ._-
e,.,j
Z _'_
ZuJ
I,iJ _ x
O T
"_Z
I,--
_l. UJ
0_0000_0010000001000000000
0:000000_00000 0000000,000
00000_000000_000O0_O00_tO00000!O00000000
rv-
,4"_ I z zQ io
-; -oo
*
_I ''_ I!
, ..=IZ _ T .
I_.: _ =- ¢D u.;"r"
II _Y II'lll II 0
(,e_,... I xk-,
,'--"T'IW 0v I,.-M.
0
l
ii,
_w
O.
L_
OZZl--'r
'3:1_
_UJX
'T'__
,1_ o,Z
Z II
_UJ
Z_
:_1_
u_
,v
U..I_
.OT
Io ¢'_
°_iIJJ _-0
iZm
_ XIm I_-.
U (..) L._I
= 93 -
Page 98
oooooooooooooooooooo oooooooooooooooo0000
oooo ooo oooooo ooooo oo00000000000000000000000000000000000000000000000000000000000,0000000000000000000000000000000 000000000000000000000
X
g
,r
,_".t
-rp-
*.z
,,o3=
_.-T o..f. f_ ,
t ,4- c_ zu.J
Z,=_ _Ot_Z r_
I,=-U "T",_ CLI,--
_,_0 II
U,. I Cu
e_ p..-7
I.I.I.I.Q
4,
..J 0 C'_ _..i.,I.J .N _=,_z
_ 0 Z _"_ _Z --" 0
Z L_ "[-u'_ ,,,,.)_.)
• _ I! II•=_ ii II
I! II _-
_.J _ "r _,._CD ,,_'._" _ Z tP_ _ _ _" _ I,,- _ _>( _,,- Z I_'_ I,,- i_ I_ _ I,- _ _ I-,-
I-- 0 _-_u._'r" "_" 0 "r --_ OZ-_iu_,,,-'T "r 0 _1
U
- 94 -
Page 99
0000
0000000000000000
.Jm
..Jm.t
I--C3Z
Z
ZQ
u
I ',0_
11 _" 0
_ 3ILL:
000 000;000
000000_00000000,000000000'000000000000
I--Z
o.
l--ILlOCU
ILlZ
ILl
x 31: I I
_L
II(3. II II
..lC)
U U Uu _
O0
O0O0O0O0
_rZ
-"C3
#u_
_J
h-O
_,w,l
k"
NZ
e.U.l
Z_
"_UJ
tm• e,
_.O'r
"-_U.
0000000
0 0 00000000000000000_0000000
X
'I"
-r
x
N
,,11"
I
ZC3
k-
t/3
0
a0:
Z *"I",00 _
_x
•-,,,_('%1
,,-I
i,,,,_ _ 4(,iv
iQ-
P"- 4,e',,,,- ii
0 -- ,..J _.,
0" II Oil,- % II l XII • i '_ _ ÷
,-4_ t1[ 0 V '--,Z0 0 :II II II 0 II _"
e," _!1,-- II ...I "_ _--' _ Z
U
_00000000000000t000000000
0:000000000000000000'000000000
0 C3
x
_,"r _
_" II _Y'n_ II
U
- 95 -
Page 100
O00QO0000 000 00001000 00010
000000000000 0 O0000000000000_000_ 0:00 0 O00000000 O000OO000iO000000
00000;000000!000
O0000000000.O00
000_0000000!000000 0'000000iO0000000_000000000
- 96 -
Page 101
0
4.
0_
II
_0
,4. t'_
_O
0IOe,'cD
Q
,-d
i
0000)000000_0000000;000000_000000JO00000._000000_00000_00
Q,.:IEZU,J
4,
OX
!
4.
4.
X
c_
• I21,",'
L e "_m
.JW.,d¢"_ I,I,J
_ A
e" OX
o.
•%uJ II _.
O00.00,0000'00000000'0000_00
_D
O00 _W--I-- ¢'_
÷ O0t._ LStD--
ZNZ
I_ *--* oOr C_t".- ,tU It I I.,L._
o:o oo
÷
"I-
NI
_ O
| _
•'r- !! _
r,.I _ I
y _
-- !'-' O
II u'_i II l._ II
im ot,D t_-
I
000_000000000
_1_ _ _ _ _!_
000100 0!00_O00lO00000000;000_000000;000000_000000_000
0
U.JN
ZO
- £7 -
Page 102
O000DO0000000000_O0000_O0000_O0000,O00
m _mmmm m_m00000=0000000000_000000 O0 0_00 _ O0 S
oooooooooo_8_oog_ooo8_oooooooooooooooooooooooo oo ooo ooooooooooo_ooooooooooooo_ooooo_ooooo,oooooo_ooooo;ooo
m
!.
A
X
0"I"
wt._U..
"1"I--3_
4,=4
I--
3:
v
0
0
r'n _,,
_ X
d .2 "
o o x
0 • e¢_ Ir_4 _
"Z _ .._ I.-
I---< I--, _ I,,,,II_'Z ,M
_00 0 0
U U
I_-
UJ
N
I"
tD"l-f,.
,, C3
UJ
"1- =.jO_ UJ _ ,Ib
X _
II II
II
I.LII,- I-.,
00
0
iO0N
_I,=,
_0
J• Z
•"'4 •
ZIU..
o
U
.J
.J_U"r
0
=JL)
0
v_
LU
n_I..-
_E
Z
"=d 1_ UJ UJ _
0 : (_J'-' C> "_ =E _ Q 0
It II _: II • ll' II II 0 II II U It _ ,
0 II 0 LI. _YZ
0 0 '"_ _ _ ',,t"_ t'_ _ _; ee_
I.I.I_ LIJ I_)ILLIl.Li LLI ,--UJ iLM LU (__Lt_ UJ LU iUJ (._ _--
0 0 '''_ 0 _ 0
•-_ _==_ _=_ m_U U
- 98 -
Page 103
I
ooooiooo
00000000000!000
0000!000
0000000
II II _'n_,=_° _=_
•_0 o_ Z
Ir...J Z _! i,_ Z
o I o
- 99 -
Page 104
I
°° iiii°°°°°ii°°'°°°°°°!ill'°°°'oog o.o°oo°o=o,oooooo,o8_ o_ooo,oo_ ooo_o.oooo,o o_ooooooo_ oooloooooo,o ooo oooooooo ooo_oooooo oo
Z
"r
UJ
W
w
Z
X
z =
_J>0
ULU
Z
..a
o. uJ
o£ z
1... ..i
uJz
i... i_ i-
.._uJ Lo
c3,_ ..
=:_3 o£
i_J i.,. 11 i,.-
I-..- :@::Z "r
C3 Z _:UJt,ml--
"" :3 Z :_
i./') P. _ L._ U...I
ZU- I--_Z
'--,{:: Z _DUJE:) i.l.lil,--_'_
_DV_ ZU_ l,.-
I.l.i.- _" I.U ._ U_ k,=,_I.-LU_. Z OUl.
,_ :I_ UJ :UJ
• U if) (:3 ;_. • II
CD C_ z Z uJ C3
z ._i _r,-,im'x z O
I
v1
i.- uJ
Z _.-
uJ ,,_
_ Z x > x _,,-zv_
i
I,=.
I--
.=,I
i,
I,
I'M
w
)=
IN
x
i.
,-4
x
z
zLU
:Ei.-i
r",
P.
"I*"
C. (,#_
II II
Zv
i "" X
w
I
Z
w
X
v
II
X
I
X
0 _
_ v
Z _' I
'=_iZ _II <w
Z _I)'O -,,*(:D
0 N i It II
0 Z: E3 E3
o i _ >",,.-, >- L9
io m
0
X_
_>"O
i X _ I.--II .-_Z
U._E3
i ,,=,l ,,,,,_ ,,,.-i
!N
Z
w
I
Z
Xv
t(,
I
Z
I
N
Z
X
I
•li"_ I",,.I
d'Z_
'_Z_
>-
',I.Z It
">iA-I! :_ Z
- 100 -
Page 105
i i
.ooooi iii.i oooo,oo.ooo .o. i o . ooo.o .oN. o..o00000_000_0 O00000iO 0000,_,O,Q 000 0000O000100OO0010000 00 00000 0000
00000_oooo o° o°°°°°_°°°°°'°°°o °°°°o°°°°°0000_00000000 _000'0 0000
00
o0
C3
I--
0
U
u_ (3
0 _ ao
o cT• =.4 _=4 ,--4
,-4N I ,,-4Z
I e_ CO I Z CD:!
"_ iii I,- "_ II I-- _ IIv II v II _.* II
I.I. ;"_ Q IJ.. _ 1::;)!14. ")
U
- I01 -
Page 106
I!
ooooi i.I_°°°°oooo o°_oo_°°__ ooo,_oo°°°'_°°°°'°°°_°°'°_ooo,o oo oo,o_oooo oo_ooo ooo_ooooooo,o oolo_oooo ooo°o ooo_oooooooooo°oo_o
e-iI
N,._Z
N=,,iZl<
IX
I
I I _r I _*X N X_
F.F. ""XXIg I 'N _
_ ¢'_ _ Z
=,=
_ f_ ,'=' _ _'N _ .=J r_ I
I )")" I _0
• N I I "=" ¢_ ,..-,.=-, f_l I
_ r_'_ _* Z "Z
_[ _ It It _ .,_ _ Itw tl II I-- II II
II "4 _ II ..-II.I. _r _ v ,..',C) ,'_..J I_. _
¢M e¢_
U
X
,,.+
T"x
Z
x
I'N
>. e¢_ tl,
x
I! tII If .
r_J
0
&0
,-,(%1 O
Q
<[ ._ "=') .I- II;
II I| II UJ _ i i=-
,-=i r_Z i./._!C3
tl,
NUJ
,=J I.U
.N.I
.3
I+
_Z
,N. o r_>.
.J-J
If tf _"
II It II Z
_U._ Z ZZr_U)" >" _" U
C) _:)_'_ 0
!Z
:1=- r-_lUJ
Io_0
U!
- 102 -
Page 108
i , _ ! !Ioooooo oooo ooooooooo oooiooioooo!oo_ooo
_ g.,_ mi albl
_ooo,o ooo!o OOo_ooo o,oo o o,o o o o!o o_oo,o o:o o_o oO00'0 0_0 0:0 0_0 0100 0 0100 _0O0oOOOoo_ ° 000:0
O000tO00000000000,0000_0 O0000iO00000000_O0'O01000000;O0001000:0000i00i0010000_00t¢300ib o, ii
ONu,,-_4[0
oo
_,au.
).-u.
212-
•"r uj
¢M ff,_ fo, _.
2N _.N1£ ,Ip -1
,,d UJ 1_W :"
m _o_ O,
N _ _,_"
_ ,IP ,IP Z
_1- x _Z,'n .
0 _..JP.- _'M
Z i. e. _ i.-l-
U
,tJ
- 104 -
Page 109
oOOOoo,_,... _ _ _ o# o o oo,,,,,,,...=I".,,. I",,. I',,.. I',,,,, I",- I".,. P,...1",,,,
_ ooooooooooooooo oooo o,_oo00_0000 00000000 0° O0
oo oo oooooooo©oooo oooo o o,oeooooooooooooooooooooooo_oooooooooooooo
_3
OZ
• II !f",4
:e,_ oz ¢xl
,,,,, e-_ ie,_ ¢__
o _o
00,0
0
o
OfU_
_3
U-
0
I.-. -1" o.m O O
,-,.. ,._ ,,..,,.*e,.I
IIII ' II II
O',_ I,-
Z *-.., _.,, _,-_t,,.,,_
O
OI--
C3
C_,"'_ Z ',4,. _i A
,,.-._ ii .,_tip
• ,,..VUJ il._ C)Z O
o I_
II- 0 0v 4". 0u,,.Je,,j e,,4, 0
'4" ,.-,,_it'_,l e,_
IIII II : It
CD
0
0
C3
0,'-'* Z
I-,
.',-,,';11o
U,,.,n oI,,,.,-_ _CD
O Oi
_3i,i-
uJ
I,...v)C3Z
Ot_
- 105 =
Page 110
: ; t !i
i
0,_0, o o oiooooo ,-. -.' ,-' -_ -.,N N
o ©oo ooo*ooo o_oooo oo_ _oo °oo oooo oooo°:_o_oooo ooo_ o o000 000000 0_0000 O0 0
0000000000000000_00000000000"000000,000
00
_.0
U il H0
_xo
0N
0
÷Z_
11
Z 0• 0
_0_0
o 0
0
0
0
:N I1_ _ II _ *
l! II I| _ 0 II II It N
Ui U _U U
Z ¸
_cO
,l.1- 0ill- 0
Ol 0
i
!o
- 106 -
Page 111
tj i
0000000 O00:0 O0 O00t00 O00 !O000000_O00001000
ooooooooooooooooooooo_ ooo ooooO000000000+O0000010000+O 00:0 O00100000000000000000000000:0: 0000000'000000000000000000000_00000_00000000000000
L_
0f_f.,..
&0
NI'_ _n 0
I- f'_ ,4"Z _1" r_ 0uJ _l e_ I"- 0
0[3 It II II ttI--2_ C:)U.I( I,.-
I--_C
I_lC:]t.) r_ X C_
O+f_
Z
_d
II I--Z
II
v
I,-C:)ZC_uJ
iot'_
I I"-.- I,,,.
0
0I,-
0
0
,4,
Zi
I=,-
LIJ
00
_J
Z A_r_
II l--sru.J
00
II ;0 '_
0 ,_ C:)
I
Q+m!
I(J
0
g0
O'
aoo
i,- oo __r oo ,4-', 0
uJ _ N_O 0
+'_ II II II i III-'- +
U.,I '_ I'-"O,,.- < i
_b
- 107 -
Page 112
I
oooooooooooooooo ooooo ooooo ooo oooo
o oooooo ooooo ®0 O0
oooooooooooooooo_ooo'o_ooooooooooo_oooO000000000000000_0000 00000_000000_000000000000000000_00000_00000,000000000
I,-I"uJ
Zw,-0.
.-_uJ
Z_uJ
II
_J
c0_
Osr
c_uj
Oey
0
C_
0
_J
0
0.aZ
LU Pw ey
_u _0
Z 0
0
00
O_
_0 _ ,I"
o..:t,¢'_e_d O_ 0
II U II |I
Z C_
•=,,Z i_,.,,_,,,.__,,_c_
0"0"
c.)
0e,d0
00
Z _-
-z u_
A
Ze__v
IIU.
m io i0 ,
0
0
0
0
l--U.l 0u. 0 ,a"
I-- II II I! ULUU. 0
0
I,u
_ I=-
•. 0
w _
x 0
Z_- Z e_l_,_'_ LU _,-.,
LU _ b,-II I-- II "r
7 0
C]_i. LL CJ_=- C3
O_ 0 _'__M_ 0 0
O0 "_ "_
tJ tJ
- 108 -
Page 113
0_,0_ e _ 0" e 0' 0" O_0'
888 oo 0" o oooo oo:oooooooooo o88ioo_o° 8©°° oooo oooooo,oooo,oooO O,O 0_0000000 000!0oOOoOOOOoOoO001000800 g O0
,oo ,.ooo ooo_oo oooo ooo oo oioo o oooio o°o°
O
Of_
Nm,,d
W-
W- .-_ xt
O
I,-. tl II i II It:2:
I,-. i C:)
O,.._ ' 0-.
,-,Z i b.C.._
C) e_
Ne,,J
I.-i
D,
Zw
,,,,4 ¢_
Uj _ _
Z_
I Z
I! !
_ an
,-,4_ O
C:_ I"- i _.
e'_. i _
O
N
O
O
,I, Z I'_
i .-t ,'¢_
II O
_' C:_ O
O
I! .'_
O
N_CI
_.,.4 k_ i,-
O
C_ N C:_
O
,O
:m,,4
O
,_-4 00
i O O
!,_ oil,-- I_ li I! II .
_fN
O
I,M
i,
Z_
TI I--
Z
_.-_W
Nf_
.,d mll
O
ON
oe_
Ne,,i
o
N
O
I--
C0CO
om,d
4, Z_e_
• ,.-4100
,,4 : I-'-'
II 0
, O
u. o;N _
O 'O
O
O
ey
erl-400
w--
o .o
: OcO (_1
I-- II If! II II0
_-4 .-4 ;
- ]09 -
Page 114
II
0
O_
0
Z
w
II 0
I!
Oie_
4"',_
0
N
0
÷Z_
II 0
Z 0
0
0 m
0 0
_ m
0
0
,0
.._mm
_-.
0 0
_0
W- I! I! i_ II
0
" 0
Z
II
0
0
U
"II0-
Page 115
: !i
o Io 0000
ooo ooo_ oo oo oo_ooo_ -- ,-.000 000 O0000 000 O0 ' O0010 0000ooooo ooo°_ oo °o °o°ooo,o°oo° oooo ,oo
0
aD _D
I.-
0
U. CD
0
UJ .-4
Z _ ill.
Z 0
II II .,=.lI_ur_
I=-.0
m o o
o
o
,0
_ _o
i oem t_
I-- II II iII II0
_0
If"-
!o0
i o o
i U" f_" <I"
o!elD
',I,-- II I! II It
_o O
1
("_i ILL')
o !U- _
_ v
Z 0 IZ
, _ o i" o,,'._ IA,..I _:_ 0 0
I,,- 0 0
oo i o
-111 -
Page 116
iI°iii i,ooo , llliiooo oooooJo oo o;ootoO00lOOiO bO 0100i000 O0 01000
oiooooo o_ooo °ooo o,o _oo!ooroo,ooo _oo
0 0 O 0 0 0 '0 _ 0 i0 iO 0 I0 0 !0 0 0 0 0 0 t0 0
I--
0Z
O,
.J
k-
Z_
÷ <[ ,,:I",if ' f'_ II II :=E
I| II (_t ] |l II E E
I q_ --.I IIEJO
00 00 0t_j r,J
_0_0
0_.._
iO _"
0 0
'0 0
0O
m _
o
0 .4"
;rM
0O0I..-- m
i1
¢10 _ OO ¢0 _0
• 0l_l_ _._.. _ .
;=.=.. , .II I1 11
I_'_
f,,- 3::: 3:: ir_ f,- 3_
,,0_ xi_0,ox
='! II i. i.fl II II? II II
!I
,oo= ,,I_. Z a,
; ,.I
r_,_ z ..._zil_.r _. _.
**i÷+ _.
4, ,I-iUJ _ I--
..I LU L. "IfILl _ I..- _"lr" ILl
I00 _ _ _-'l _
II II I1
_0 _ i
m!
0
0
_J Z
• 0,_ i
LL_ • t-.-! l! tl ! II tl
Z _ l II lJ II ioZ o
_1_ _ _.
; 1
I'Mi
"t'-'r -r_p,. n'- -r
P-I'.- r._ ,,._%
xxxi_x >__1_ i _
m m m!m i'_ m
P-i i,,-I
ILl _ UJIU.I UJU.J,. ,. ,._ ,. ,. ,.
II II U U II II
I,,.- I,.-
,4- u._ .0 Ip.- _(:_ O,
III
-112-
Page 118
IEO00 0_000000000000
I.-.Z
eL
U.J
el""r"bw
U,JZN
0e_aD
Z
I,--I,-.
U._
OC
0
0 ""_L3
r_
,_ ..JI 0v') r_
rY
Z uJz
_mo.
t..-b., t,_
I--_2 oz
2 _-u.Z _
I,-
tt
Z
_'_Z__,_
_ZZ _
i
'..2
Z _
I.,.-
O_Z_
O_ZO_
__II
OOZZ_O
Z
_Zx_Z_
,Iii I o'oool, !oo o,oooo,ooo
ooooolo_,_o,oooooo,--0 o_oO0001oO0ooolooooo O0 O_ 00_0000_0000_000000000000!0_0000000000,000000000
ANvc_
w
>-
xm,
T
L It It
i_,,-* )<
ioTO
_.,i !f%l
,-_iZ
It i--
II co0 N I II0 ZI
U. 'z
w
>,.
I
X
,It,
><!
Nw
X
w
I
I'M
I!
Z
>-
0
Z--v_X_
0 I_00 --_0
-- It
.--Z0 _w_
I
IO_O
,ram
IN7
I
Z
X
I
Z
I
NZw
X
'"-+Z --
'Lr_ z
w
+lZ t!"_ll
>.
i
-I14-
Page 119
iooooooooo oloooooooo,oo ooooo ,. OiO00000iO
¢_ 0 _ 00 _ "* "*"0000 0 0:00 I0000
00000000 , O0 0!00tO 00000_00000010
0000_00000000000_0000'00
o
co
,,o o
P- Io0
,.-4 t'_ I .-'Z
,._ Z(_t_ _f_
O I Z C_ I
II I,--"3 II I..--;'_ II
--Ili --II II
0_: O_ !00
I
I -" I _ I _--1 _i.
"_ I r_ "' I ¢'d ! I _
II I _ I I _ I _" _"_
•,,'iv ,4,,/ -4 _," _=, ,.=, ,.,
_.=, _ ..... ,-...-=. -=. X X X
0 X X X >- >- >-
0 II II 11
It tl II It II II
C_ ....0'¢_ f_ ,._ i'M fr, X X X
C_ ><'X X)-. _ >" X X X
0
,0
..=I
0OO
1:3
O00000iO00000iO00
X
I
w
v
I
Z
,--_X
I! tl
e'_l ..I
0
-115-
Page 120
oooog glO000DO O_
v
XX_
N_-., I(,
v_ ! X
_P. O.. _ em, ÷ m
'_[ I,_ II II : 0
m m
_o ooFo
U
I
IN
--.Z
i Z X
: I
,,,._ t%l
I Z
Z_
I! "
7L_!1 ..I ,i,_
_i_ Ze_
,-,_ i.!i. _ i,
ZJ _ZZ
I ,-
Zi_ W v)
I! Ili
ill --I_,.i _1 i i._ _lr
m ! ,,,
X
T
X
I i
_ ,,-4
X
II
It II
0
II
II II It _ --
_ C
m _
N
AN
..dUJ
I"
I
v
I
4.
_Z
41. ÷ e"_
.i.l _
II I1 II Z
il.- 12 Z _ I.--
:_WZZ
::3 Z Q,,-:EI
O 0
f'- (_D
IZ
Io
L
-116-
Page 121
oooooooooo,o oooo o o ooooooooo ooo,ooooolo 0 0O_ L_
""""_"'_"_ i ooo oooo oooo o°°°°°°o°°oo°o°oo ooo00000O000000000iO 00000 00 O0 _ 0 0
I--__0
4,,1(,cL
wI,DZ
41,
Z
0
Z0
I--_(_J0e_c_ILlI.=-Zw
k-- I._Z ZI,,IJ u._
,_l
I--U,.
-ll7-
Page 122
ooooo oooo_0 f,.. 40 e ,.=, _'_1 _ ,_1'O
•-., _=.i ,=o p,=* .-, N le_ N le4 N¢._
_ '=d _='I I,d _ wml _,'4 m'l m"4 a=40 O0000 °
O O_OIO ¢)OOO OOOOO
O W:N)=.2),=1O
VJnO
5.,.J
Zam,
:;)
)..aD
U=I
CP
UJC_
LLI
0.
0
CO
Z
k-
•=d ..J
Zt_ tJ
U
h-_L
_Ut.>
t
w
Z
tJ
_JZ
k-
C_
CO
C3Z:C:
r
D
2;
aa
OWG.
Or'_ ...!_ 2- giC:) ..'- _ _!
m." f,_ r,,j
0N _ 0
m
_ m
_ ,,,d o
,-, _ c:3
w
w-r-
k- t_Z 0UJ
w
_J 0Z
Z _ uJ,_
i
41,
N
J_, e
"rr_
Z_ "_
.°-17-°_:N
O
l!II
_[ II II_ "It
,=4 ' "' OOO i'-*'*''*''*O'o oo o,oo_oo_ oo°°ooo_o_ o,oopooo_ oo
g_
I1, I
II Z _I|
G.ZZ
t.)
41"
• !n.,
t(,
T-
Z
J
,1_ U,I
lq, tl. Ig
Ig,
fi II m.,. LLJ
-I18-
Page 123
4
NN_N _,_'m N _ NI
0001
,91
is,
x .J
w x
X _r
y
"_ I
fig
X L_
.=J all
_ r_, _
iL¢)_ I'-- ¢'__ i_ LUZ
0 0
-119 -
Page 124
oOoDoC) o_o
oooFo_oo'|:
/;_ ,
-,
_ tJ / 'U
- 120 -
Page 125
oooo_
_000;0,000000000
=UJ..Ju_ILl0
V)U.II--
¢1.X¢3
ZI--,.ItJ.L_C:_
LU'Z,
•"_ E_ I,-i
(:_ l._ O:
u. !
_uu u
000001000
0 0 00 0100 000000'.00000000!000
_r ,t ._ Z
_'_w' i f',d _,
N_o o._'tJ_ IN7
,4" _'U _" O-.Io.,J, uJ
_1" _n _1" O
I. _' l:13'1-- 0 _
o :_ ,'_
L)
- 121 -
Page 126
0o0,0 pb
0000
oooo80000
_o_ooo_ m4 m_l
_oOgO_Oo0o:)00000
i o oi,oo o=o0o°_°_o ,0,,.®_ ;_
oO_OOo_OoO o_o_ _o ofooOlOO?O ° oooo_oo oo o_ooo_o ooo_oox
II H II II II
iZ Z ;Z
_,,=,
I """u O
Iv NN
_°4,
4. O,.=,4 A
_- e_
I I •]_r_
i •tt It II I_
I
o0
ooo0oooo o
T!
m!
Qs.'
Oi
0_
N
_ •"Ir r_ CM
III II II
I
g_ol
- 122 -
Page 127
II
OOO :_OOOOO?OOOOoOOoOOOO :)OOOOO_OOO OOOOO _)OO ¢3OO;OOO ¢30 O
4.:I
_L
U.J_
I._ :It i
_D 41._ oo
_P_ _1_,_ •Jl. _ .il*!_ * v" .I. O
il ,, III _J N --
II II I "_ N II X
N
I¢3Z
'U.
X_
,.r_:
,4";
!)-
It
;c_i
iac
I_,_:
i_,I )I II II l| ' It II II il
: l oooio
0_00Io OO 0:00iO
OOOIOOOOOo!oOOOOOIOOOOOOtOOO
I
!ic_
..J
;LUX
iu-
; !_A
i,*_ !UJ
;I,,U 0
i_" Jd,J
• i_,UJ i ...,I
r(3 iO!_. 'U
t
If II II II i I) II II II mI! II II
+++÷'+÷++!÷+
u _u iu
- 123 -
Page 128
L ;0
oooo oooo
OlOOO o_o o
o o_o o o oio o
o ooor+_ °
**4 _ll_,-I +-*i_1 _-I
ooo!oooo010 I00 0 0 0 ,o o
N
.,_: 4+wk- P-
4+
4+_ ++
LL I *++
,iJ
II II II 11 Illll II It II II N
r_,II_ e"_iwC_ u_ u.auJuauauduJu._
f
!,oo :_ I_ _'
00oo°o°,ootoo°0 0:0 010 0
41,4_
g -,u0
11 II II II It II II If II
_J LIJ UJ _J L_ UJ: U.I _ L_
I
oo zz+oOOIO
o oio olo_0oooooooloo
! *.-4
'It.
UJ _'_ _ ,_
=.1
!f II II II
II II
-;-r-
gJ L_ LIJ UA LIJ gJ
iii000000O,OOOOOOiOl_ OOO
e_
IJJ
l,e)
0.J
I.)
e,,
Z
(3
0
iI
!-
%,
oA k-
0
II II I ,t
_," .J Z
II + *
U
- 124 -
Page 129
I
oooo_oo_o,oooo_N _N NN
oOooOo"-'-;_-__o_-'-_:''" _-,-'-"oooooO_o_oooooo• 0000000000 000
i= !
i _o_o_ooo_o_o_oooo_o._,4"!._ ,4" .,d'0 .,r
000'0_00 0_0_0 01_ °00°O0 000100000 O0
ol
Ol
--i
,IN
IZ
,, _i ,, ,,
= _l= _'_
X
O.
r_
UJ
0
k.)
l=-O.
ILl
xl.IJ
-I
-J_Z
-Ji N--Il._J_ .=,IUJf'_ _._ C_
C_ I_ ,'-o I
,='_ '_ _,_ Z U.I
I 4. .--_+
.-_ U.I!+ _l--
IIII I II
f_
L)
4
÷
u_!_ _ _r
Go
z.-.i _
tI. . iiII III
I'M
U
- 125 -
Page 130
OOOO OOO
oo ooo o ooo_8 °°' oooo oooOOOO_ OOO,O OOO
..=l _i i--* mi
_ °ooo o_)O OOO
u_ II _"
v" .=J 0 ¢:3 I._ (.5
I,--_II II II "le
_'_ i._l H
II .._ ...,4..=/.=.,,_.,! ,,,,,, ** N
1
"I• !
N _ __ t_ 4, ¸
_ 41. ÷
4. _'1 M
N * -". I--
_ ' '_1_.
'=._i'l("
_,0 I "_
r',l O ¢.D .
0_ O_1_ __O
OOOIO OOO_ooooo!o_ o,oOOOOiOg
OOOOOO!OOOOOO!OO
3: IP'-
N3_
N I,=*
01_.=_
,, Iii
Z
4(. *t b-,
5, o-!
!41" _ l._¢m _"l I.I.I I !
II l_,,'l II 41- II t",I" II II iI_ II II iv') II tl ._* ["1[
i
u]141.
N
.=.1_uJ'_
4.II.
A
II It
Or'• _._
,il, I
,,...I _"
41. 41.41" e._
_. tl. 4.
.1_ 4(. !
..J 4,
_ e'_J II. ILI.I
! N I,"_
i%1i l!
I
I
3[: I
_I. lid,=,.i
,=..',..' 4.
I.llm .ll
--.4. I_
w "_ Z
:1[' .1. * :• I[ P'.. _ _,ll)<.3 I,'_ "r
•N* _ '"Jtl.;W
IIII t'M
iI C_ I
,R*II
_i I_ oo
I.lal _q[ _ .v
fxll _.._ 11 _
- 126 -
Page 131
l !
f It
- 127 -
Page 132
I%1
_J
i
--.I '_ OD U..I U..I I.LI :
I.I.I.,- Z _,/) -- II II _ !_I" II II N I,.I.I ,,,,,1"i II II _ _ ._ !m 0
--'!* _ -!- - - L •
I,,-
,If,
r_
l"h
,4,
• _,"_ _I_ I'_ ,-,_
,I, ,II ¢I,
'ZTZ
i÷÷ ÷
_ .I@ .i(.
i..- i.- :IE _r I"
Icl) co ooi .. .,
i_ d. 4. ,.& _J ..J _J
II II _ 0
II |I II I.... n D _ ,e_ ',N N i I
- ,- o_ _,_oo -.._.0,,_ SS i,, ,,,,,,,',_ lip -- [ ;Z _O _O -- 3E ,-4 -- II II I_ ! II II -- -- --I
i ! i
- 128 -
Page 133
oooot_ t"-
0 0ogoo°0000
N
H
lid
I
,ooooo ooo,oooo°oo0 "* N'_ ',,Oil'., mlO _ 0 --* _l_ff_ _ I_ 0
o o°o o oo0'0 0 0 0!0 0'0g88oo °° gg o!og_,o,ooo oooooooooioo
I
_)
uJ
ILl
IJJ
Q.
.J ,_.
,."N
iI
I
,,,,,4
......oo,o.oooliiiI...010 010 0 0 0_o 0 00t0 0_0 0 0 0'0 0:0
00_00o0o0_000
!"uJ
?
v"* "l I 0_.-
_ II II II 0
II
Z
I '_ --iI • '-" '-"
i -
_i _" _ '_ _ _i
N,,Z "_i
_I"I _r _ *''4" "_I
.;.;ggo
m
T I
w_
Z
.J
00N
- 129 -
Page 134
•IP ,4" _1" ,4" _1" _1' ,4' 4'
o o °° _:_o_oOOOOO OO O_
_J.--I
C_
Z
t,
I-ILl
qm',1"1[t._
° ;Q_
II O
),- UJ i
_OI"Zl.JI.- m..,
w. ...I I--
Nm U
!MI
I!
I
X
O,
br'4' _
_ S"4 ! Z:
e''01 _
NI.U, t'_N
Z Q x ,._
.-. jII '_ _" -'_ j "4" ,-_
(,rl =[_rIt m.i !
i
L,
000000_00
O0 O0oo_Noo
ua ,-_ii_ 011
N _.¢Nj
'4"',.1"<1":
_i Z
.../ ,,.J .=J ::_
,_Ci H,Z_-..)U '-J_i rv"U.I
! o! oOi
-130-
Page 135
000!0 0:0 OiO
°°°°:_ o°°°_O0 000_0
0O_!
Z
UuJC_
t.uZ
I-.-
r,-cD
u')
I-.-
,_ qml
_1/1 I---
ILL. <[,
:,.I"
_z
_i.4"
3;" _._ _.
.JI _
!
_L_ _._
I_ II II
_DZOOer u.,Jf_ I'_
i 0e_
-131 -
Page 136
0000
° °°°°O0001000 t m¢_
oo oo o!o,0 @ ,0 _ i _0 ,0 I,-il,,. I,.. I,.- f...!l,,. ¢Oim m_m mira ; C_0, o,i¢_
0 oo0o00'0 0,o OO oo0ooto0o o:OOiOOo
0 _ 000000 0_00lO 00 00010 0_000000_0000000 000000_00 000000 00000!000000000
i
LLJ
zz i
-132-
Page 137
'0t-4
0
Z
X" :,-,I
IJd 0
"' .u_X 0
:3 :0• ,,-4
0
u. i.-"
t_ ZZ:
II II
0 O_U'_
0
0
lg
X
W
_._
Z
I.,LI_..,',.=_ ,,_
•_ --_ri_- T
Z II_II L_
Z '_" _ ..I!,,,-I
0
0
0
C_
0
0
e,
0
Q
A
_r
!
C)
0
0
-133-
Page 138
(:00 ,0 P"
P- e.- P-e,,4 md _ml _1
0 08o:2o0000
!°o°°°° ,ei,e _O ,-_ I#_1 I,,. ico _ ,t' _ ,0_un Lr_un _ _D _O _0
o:ooo o:o ooooo!
o_o oolooo!o oOOOo!
o!oo_, oo oooo
t
-I 34-
Page 139
oooooooo.!!!!! oooooooo,..*,..*--* ,..* *..0 ,..* .-* --*0000000100000 0{000000000000 _ 0,000000lO 0_0 0001000000000000
000000000 00,000000000000;000..,,.w... ,. ,. _.
_,_NZ LLLIJ 0.'_[ U.I 7 '"• Z U ;_J "1_ ' ...4" -
"1-I.-
,9[,v_30
G.
U_
_JZ
.1
Uj_
z_
T I ,_1--) ::_
_.))..
U.
_D
_I_UU iu
UJ _ I_ I..,,, _ i.ml ...
0'0000_0000!000
0
C3I,-
i--
I--
7
7
!Z ,--,
H_. ,=J U.
; ,,=,, ,.,,') ..-,
Ii
-135-
Page 140
i oemll emi emeo oooo °O0 OOO
O
tc_
C3 C3I,-- I--
C_ C](._ (._ Z_'_
o. D
g -.,
• • d ,-_ :0 +
U.J • "_• i
I-- _ II-- II
u._u-.J!O _ 00
0
I.I
•"j i o. b_
¢'y Io. ,_,
II iii II
i 0
i
i
iii io o,oo,o! ,iN N NN!N _ "
o oioo'o _ooo° o ooo!o oo o°°°°0 O0 0
o_._.o_o[oo_oolooooo ooo_ toooUJ
I.)
1AJeml
0.IuJ
U,I1--
I"0
Z
_u
oo
I ° ,Io
"'"""_,!,_
O,
O
P,I
I
Q
e! • e_ o
__,_,_,__,__ o,o.._0 i Oi
-136-
Page 141
I°°0000_0 O0 0!000000
II
3
INN ,N
W w_'_ _ II III- _ n
f"_ .=J -._ Ii,,ll, I,--
II 00,._
• • ,,I i'_ _ I--
,' ii ,,-I i"_li I.u 0 i_!
',o o
N
,,=1
-%.
,.J ,_J
,_J ...1
0 0
Z 0•. tl II II
• II ,._1 ..I --t
"_ _ C, r'_',O
io
; ,,0 ',,0 _ _ '_0 ,,iO ,iO ',dO I',,,,, I_ I',,- I',,,.,_._ _l_ _01_0 00 cO li)!_O _ O0 _,
0t0 0 0 O00;000000000000 000 0!00000
_0000C300_0 00000C3
Z
I.-Z0t.J
01_.
,,a
Z" 0UJ _.)1-- "JZ Wlint
31uJZ
lilOl#_l--
0LO
O0O0
O0I-l,-
O0=-i
----÷i
I Iii
il,-- )_IJ'l "5 1-.- ;
_7z7_
i
IW
t
.Jt
X
ZI t_
+
M
00I%1
U U
_i _;
II It ; II II It
i
0
0
0
IuJ
ij,,l _.,..I
x
I,--
!
I,- ' I--!Z
,,t. :I,,u
¢%#"_ +rf'_ f,l'l
I,--:( =-_ Zil-- 13. ill
4.:
It II II
0'.
-137-
Page 142
o i o oo!_o!ooioo oo o*_o oto oo
m m qm COiCO " ' '
oooo,oooooo:oooo ooO00 0:0000;OOTO 00 O0 O0 000000!000000100000 0 O0 001
9[k-
+
rn_
o.P-
II 14
x
e.,' ,..O,.k-
-138-
Page 143
0000o i
_ N_ NlCW
00001O0000_00000!0
0'9[0.J
--J,9[ZEUJ
uJ
I-Q
.j'
Z
Lu,Z
Q I_ 0,
I/% I en_ "_,,ID
UI-llODiiI
UU l+,.b
0
tJ
-139-
Page 144
"_ l,Ll!Z I,_,
D,,,I I
O q" _
J_ -J
N_ "r', Z
_ W k-
O J Z
NZ "'i
X 0. ! I_,
_3g 3::
m ,,;_
,,It" LO ,,,_ I_
UL)
,ooo I ooo,oo= =ooO _ _ _ (3', 0 _ 0_0 _ _1_ O_ 0 _
I_0_ 0 _ 0_0_ O_ O_ 0 _ O_iO _ O_lO _ 0 _ O_
00000_000 O0 iOI0 0 0 0 0 0 0 I0o,ooo o°o°
i ÷ !
I,, i
Z
N ua
00 i, I
,o!,o
i-I
I!
U
1=
tN
I,I
iN
_N
N I1_.
L_
_ :Z
r_qM _
NI,I,
,,,_- 3I Z "r
f,,.
O'
'4"
! -_ f',d I',-
O_
,,,'I "r N 0', NIII II N' i
,,-,4_ ! l _ N-- 0 0 ,'-"_ I II _ II II II II
,,,, , . . ,,:_: z,_,, ×i_,_tU- _ i I-,-
0 wO r'- O0 0 _J _1"i_0 iO' _ 0 _ O, 0 0 010
¢
-140-
Page 145
I
!
oo_°°°-'_o"" ®_'°'i o o__ °°_,o ° o oooo_o,o _N N I%1 ,N
_oooo_oo _ __ O0 O00'0O0ooo_oo g o_ oo Noo°°- o oooooo oo°,_oooo°° ooo o ooo oo_o Oooo
II. Q. l:I. LO
N _H_L-
(%1 _ ,-_ I--
XIv_Q_
0
m
Z
o
_D
Z
0Z
I,.-0Z
IJ
ILl p..I IJJ
-.I _ .J i
•..,uuio..,,,.-".:
,,'-_ _ I_,",, ,"-_ ,,,,_ ',,,_"
_ w
N _,' ,I$
l..l.J I._.,](,
I,- U.I
u.._,r'r wN
= - I._*__" I '_ I ""
m, 4. i_...,
!°°°000
N_N
0 000
; 61.,N, ÷ ,-,G_!r_ ?'_ r_ ua
,,I-_'' _, ' _=II C_, _ v _ _ II II II II II
!lI ,I I-- II
.-"-- I,,U! _,. II II xTx
II,
II. ,I,
_nm,v
I 'q"
LI. ,11. ,-.
I
Q.._ tl. U.I
I ,_ Im -.
uJv'_
r.,..1 U _IIT II II
-141-
Page 147
i
o_o _oN000000000000000000000000000
I
.
_+oo_go looooog_,ggg_,------,---IN N N NiN N.N N,N _N N N N!N NIN N N
oooooooi_oooo_oooooI_ooo'ooo:0'000000 000;0 00000 _ 000!000
0!00000010000'00
1-.Z
J&.iu-_U3:C3
_U
,,v'
0
W
A
+I.,,_ w
_" N ¢J t_Jt.u eel I.u (3 ,',- ,-, _ m
* ,,,T ',T ,-.* ....*.
i
_ ,=J .J ..J-Jl
i
000000'0000001000+
X
i
i Zw
!
i "
,
i oi ,,e
_ E _ Z Z Z _
II II II II II ' II II II II II II i II II' II
i =:_!:__-
-J
A
',0" UJ .-I'M
1 13'
.*_ ('M#
(_ I.I.I II
NZ i_U,.
X U O!_._ UJ,.i
OOO
-]43-
Page 148
o°°°_°_!_ o_o__ dlmlm,l i_ m._ _ l,lldml
oOo°oo°°o°oooooo°
X
Ma
Ik.
C_
0II
ib
n
II II
C_CL
_-r
Q_
U
_ oo_oo oo0Oo
w ill
w
II II
U- LU_
mx
, o !__ 7{2) _. I,.,- I_. t_.._ _., _..I _..
,,, ,,,ogI..,,,
w_.uI I v_,
I
U iU
u
-144-
Page 149
i
ooooo0ooooooolo.o,oooi,-I g,.,.O ,i,.i 9,.l ..,,,_,,,._ _.,,__q,,,.4_,.,4_,.d g,.0 f.,.i .,,.i I_...i ,,..i q,.O ,p,.i,,..i _,_it,,_ _,.q ,,,.._ _ _ _ t_ _ ,,..I _,.,,._,,,-OI ,_,-,I,,,,,,I•_,.,.I
_NN N N N N N N N N N N NiNN_N N,N NTN N N N N NtN N N:N N,N N (N
0¢_¢_ _0_000,0000001000000,000 000,00 0001000o o o_) o o o o olo oo o o o!oo o o o o_o o _oo!oooooolooooooioooo:oooooo,ootooo oo,ooo
0 '-' i lUJ 0',_
f_I-Z
N
Z
r_
IE
E31:
m
N:X-J
_.0
t_'_0
.J
U
O,-[N Z
i It _ II I-l_. •
i:::::-i:: - Z"HZ"Z"::I
UJ _ e. e. I e. i_ e. I
ULUJ !_. e{ I_1 I:
,.-, ,-.
c_ c_ o to c_ o c_
A
:N e.NIE .,4"..I
illl
}..2"-
[_ v ...,
wDN _,
',4r' _'U
_,;g.
0
i,@" x -_,
Z _ _
t
-145-
Page 150
il
II
_ el e,i e_ il fin fM e,,,I N _ N ,N I'M ,N Ne_ _ N _",i N,Nooo_o,:,_ o_o_o o_oo _oo _ _ooo _ o_ _0000000000_00000010000'00100000 0_000000>000000_00000_00000 O000000W_3oOoo 0_ooc3o000o
_, o.
Z u.
0 " I=-
.,o: Z
_4_L n"Z N.
"UJ ZILl
0 JON" "edZ
_._ lad
_£ O ..J
3¢_4X _
Q_
U,
I.- #.- I-.1.- t--_i.-t.- I.- I.- Z ZlZ
O_-i {:30 l:3t,- C_ OII U U_/I I#l ZU V1UU Uli/IU U u'l C_'-"
:, it _t, _i, 41. tt tf 41 _1, _1. i_l
___i__: ___i;_- ___--_- __ __i ",r" .......
Uv'_: I _ i',-ii " II II II II I1 II 11 II tl II II '_II II II
LU II II l -- -- i--
i im"T_l.m
_0 0 _ u'l u_ I i'JlE Z Z _ Ill II l
I
!
-146-
Page 151
OOO
NNNNN NNN
o°g 8O00000
N
, io,-,_
_o o o o o_oo o oooo oiooio _O000OFOOO Ooioo0 olo0_0oooo0o!ooO :o oo oloo!000
i
Z "" x
0,d _ m,d_II ,.,,I,,,,.I UJ *.1
oloooooiiooOOIOOO
f'_liN e,,,I;N N N N',N Nit_
N¢_I NII'_I IN fN t'N,f_l ¢N_fN NOiO O_O O O O10
OO_OOiOOO OOOO OOooOO OO O OOO O O O O
-]47-
Page 152
0000_00000_00000io00
oooooooooo ooooo,oooO000_OO000000000hO00000 O00000 01000 000_000
0
00
0
C)
_O
D0¢0
_cO¢h
¢(0r_co
g.w I,,,-Qu, J
0,0
O_O,
,,,d I
l0 !
-ia,i
kd!
Y,
]
_0 co
ILU
• 0
O"
2 =
x _
! IIll
h- I_ OJ
÷_
IIZ
_!z zlzl
ll II I!
II _Q.'le
i
I
II
0 _
,,', ! =
"_Z I
U.W' I_Z_-.0 I_ ; _.,0 1.13
0O' 0
-148-
Page 153
b-
0 O0 0_:3 0'0 0q0 • O ,-4 IN _
IN I'_ N IN 11%1 N0 O0 OIO 000
OC3OOIOOOOOOOOIOO¢30
_JZ
,v
_)
I-
_)
¢3
LU
_D
z x!
o.i
I,,-I
_ _ I ou.Jz
14.1"_,0 _ ...i 0E u.J
_n
-149-
