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2011
5
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UDC
10497
Study for the Independent Suspension System
of an Off-road Vehicle Based on ADAMS
430070
2011 5 2011 6
2011 5
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I
ADAMS CAR
UA
ANSYS
ADAMS ADAMS
ADAMS/CAR sayers
matlab
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II
People pay more and more attention on the ride comfort of the off-road
vehicles as they care about the ride comfort of cars. The suspension system which
transfers all kinds of forces and torques from tires to vehicle body is the most
important and direct factor that influents the vehicle’s ride comfort. The
suspension system research includes two areas. One is called suspension system
dynamics and the other is called suspension system kinematics and
compliance.The area of suspension system dynamics researchs the force
characteristics of spring elements and damping components for improving ride
comfort. This paper is specially to study the dynamics characteristics of an
off-road vehicle independent suspension system and some special conditions ’
simulations including including driving the vehicle through vertical step, pothole
and grade.
This paper is based on multi-body dynamic theory software ADAMS/CAR and
uses this software to build a rigid whole multi-body model which includes front
and rear double wishbone independent suspension systems,parallel link
steering,antilroll bar,seat system,bodyfour-wheel drive powertrain and UA tires.
Considering the front and rear double wishbones’ low arms and the antiroll bar as
flexible parts and using the ANSYS software flexing them ,then transforms the
flexible parts into ADAMS and bulid a rigid- flexible whole multi-body model.
This paper introduces the people’s reactions to vibration and evaluation
method of ride comfort. This paper uses the ADAMS/CAR
s road profile
generation tool which is based on sayers mathematical model to generate the road
profiles,does ride comfort simulations for the rigid whole multi-body model and
the rigid- flexible whole multi-body model,calculate results by the MATLAB
program which is using for evaluating the ride comfort and compares the two
modles’s ride comfort lastly.Let the two whole multi-body model experence pulse
inputting simulations and compares the two modles’s ride comfort again. This
paper proves the elastic action of the flexible whole multi-body model’s flexible
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III
parts’s to the ride comfort and the improvement of the modle’s precision according
to the simulation results.
This paper also does some special conditions’ simulations including including
driving the vehicle through vertical step, pothole and grade aiming at off-road
vehicle’s complex driving conditons.
off-road vehicle, independent suspention system, the ride comfort,
special condition simulation
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IV
............................................................................................................. 1
1.1 ...................................................................................... 1
1.2 ................................................................................ 2
.............................................................................. 2
.................................................. 3
.......................................................................................... 5
.............................................................. 5
.................................................................. 7
1.3 .............................................................................. 8
............................................. 10
2.1 RCL ........................................................... 10
2.2 .............................................................................................11
2.3 ........................................................................................ 12
2.4 ISO2631-1(1991).................................................................................... 12
2.5 ISO2631-1(1997).................................................................................... 13
2.6 GB/T4970-1996 .................. 15
2.7 GB5902-86 ......................... 17
2.8 ................................................................................ 17
2.9 ........................................................................................ 19
2.10 ............................................................................ 21
2.11 ................................................................................................ 21
............................................................. 22
3.1 ADAMS/CAR ............................................................... 22
3.2 ................................................................................ 25
3.3 ................................................................................ 27
3.4 ................................................................................................ 29
3.5 ............................................................................................ 30
3.6 ................................................................................ 31
3.7 ................................................................................ 32
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V
3.8 ............................................................................ 32
3.9 ................................................................................................ 33
3.10 ............................................................................ 36
3.11 ................................................................................ 37
3.12 ................................................................................................ 41
..................................................................................... 42
4.1 ADAMS/CAR RIDE .................................................................. 42
4.2 ........................................................................................ 43
4.3 .................................................................... 44
............................................................. 45
............................................................ 48
4.4 ................................................................ 53
4.5 ..................................................................................................... 58
............................................................................. 59
5.1 ........................................................................ 59
5.2 ........................................................................ 63
5.3 ................................................................................ 66
5.4 .................................................................................................... 70
............................................................................................. 72
6.1 .................................................................................................... 72
6.2 ............................................................................................................ 73
................................................................................................................. 75
.......................................................................................................................... 78
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1
off-road Vehicle
ADAMS
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2
“” 4
0.5 25Hz
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3
1935 1948 Janeway Janeway 1957 Dieckman
K 3
1968 Pradko Lee (Absorbed Power)
“”
41976 Griffin
5 (1986)
1/3
1974
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4
IS02631 — 6
1997
2631 1:1997( ) ISO E − — —— 5
1976
“”
20 ISO2631
1982
“”
1985 GB5902-86
“
” 1990
QC/T474-1999 GB/T4970-1996
1997
2000
Cgv Cgv
IS02631 GB/T4970-1996
31-36
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5
Olley 2k [34]
Olley Criteria[38]
30% 6.5%
1.2
1.3Hz 6
ε 1
β =0
1
1
20 70
80
Chac
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6
42 15 Bradford Hegazy
94 15
20 80
1993 18
101998
13 “”
2000
3
18 ;2005
76
10
80
90
22
2006
MSC.Nastran
MSC.Adams
27
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7
2007 ADAMS
25
2008 ADAMS
:
21.5% 71.3% 10% 15% 20%
30
Metealf VanDensen Lins 30
90
“
”
ISO/TC108/SC2N67
17
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8
(
17
1. ADAMS car
car
powertrain
2.
ISO2631-1
3. ANSYS
ADAMS ADAMS
4. GB/T4970-1996
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9
MATLAB
GB/T5902-86
5
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10
adams/car
ISO2631 GB/T4970-1996
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11
RCL
20
10
0
1( ) ( )
T
av AP Lim F t V t dt T
= ∫
( )F t V(t)
2
0
( ) N
av i
i
AP K Airms=
= ∑
( )2
Airms iK
:()
;
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12
1976 Griffin
1986
Griffin
ISO2631/CD 1991
1 12
3 3
3 12
2
3
ISO2631-1(1991)
3
(1)
(2)
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13
(3)
1-80Hz
1/3
(1)
(2) IHz
(3)
(4)
ISO2631
2631 1:1997( ) ISO E − 0.5 80Hz
3 3
3
3
3 12
4 12.5 Hz s z
4 8Hz ; 8
12.5Hz
s x
s y 0.5 2Hz 3Hz
2631 1:1997( ) ISO E − 0.5~80 Hz
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14
12
2631 1:1997( ) ISO E − 9 14
( )w
a t wa
1.
(1) ( )a t ( )W f
( )wa t
21/ 2
0
1[ ]
T
w wa a dt T
= ∫ (2-3)
T 120s
2-4 2-7 ( )W f
f Hz
0.5 (0.5 2)
/ 4 (2 4)( )
1 (4 12.5)
12.5 / (12.5 80)
k
f
f f W f
f
f f
<
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15
(3) s x s y s z
2 2 2 1/ 2[(1.4 ) (1.4 ) ]w xw yw zwa a a a= + + (2-9)
(4) aw L 2-10 aw L wa
020lg( / )
aw w L a a= (2-10)
0
a 6 20
10 /a m s−=
2-2 aw L wa
2-2
aw L wa
wa2( )m s− aw L dB
2.0 126
2.
9 2631 1:1997( ) ISO E − 4
4 1/ 4 1.75
0[ ( ) ] /
T
wVDV a t dt ms−= ∫ (2-11)
1.
2631 1:1997 ISO − GB/T4970-1996
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16
s x s y
s z s z k w
4~12.5Hz 4 8Hz ;
8 12.5Hz
s x s y 0.5 2Hz 3Hz
2.
xwa ywa zwa
0wa
wa
(1) 0wa
( )aG f ( )a t
wa
902 1/ 2
0.9[ ( ) ( ) ]
w aa W f G f df = ∫ (2-12)
( )W f
0.5 (0.5 2)
( ) 1 (4 8)
8 / (8 )
ci ci
N ci ci
ci ci
f f
W f f
f f
⎧ < <
⎪⎪= <
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17
2 2 2 1/ 2
0 [(1.4 ) (1.4 ) ]w xw yw zwa a a a= + + (2-15)
xwa X 2/m s ywa Y
2/m s zwa Z
2/m s
GB5902-86
max Z
v
max Z
v
max Z v−
max Z v−
max Z v−
2-16
max Z
8
max max
1
1
8 j
j
Z Z =
= ∑
(2-16)
max Z
2/m s
max j Z
j 2/m s
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18
U { }1 2, , , mU u u u= L
A { }1 2, , , m A a a a= L
V { }1 2, , , nV v v v= L
B { }1 2, , , n B b b b= L
R
11 12 1
21 22 2
1 2
n
n
m m mn
r r r
r r r R
r r r
⎡ ⎤⎢ ⎥⎢ ⎥=⎢ ⎥⎢ ⎥⎢ ⎥⎣ ⎦
L
L
M M M M
L
(2-17)
1( ) ( 1,2, , )
m
j i iji
b a r j n=
= ∨ ∧ = L (2-18)
∨ ∧
1( ) ( 1,2, , )
m
j i iji
b a r j n=
= ∨ = L (2-19)
1
( 1,2, , )m
j i ij
i
b a r j n=
= ∧ =∑ L (2-20)
1
( 1,2, , )m
j i ij
i
b a r j n
=
= =∑ L (2-21)
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19
U V
R B
B
GB/T4970-1996
0.5 (1 4)
( ) 1 (4 8)
8 / (8 80)
ci ci
N ci ci
ci ci
f f
W f f
f f
⎧ < ≤⎪⎪
= < ≤⎨⎪ < ≤⎪⎩
(2-12)
f maxa 1
max( )w N cia W f aμ −= μ
μ
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20
1
1
1
( ) ( , )
m
j ij m j
wi jm j
ij
j
v n A a v p i j
n
=
=
=
= =∑ ∑∑
(2-23)
( )wi A a i wia
ijn i j
jv j 1
1
j
jv
m
−=
−
m
5 5m =
1
m
ij
j
n=
∑
,
1
( , ) /m
i j ij
j
p i j n n=
= ∑
min
2 2
ln
2
lnln
(ln( / ) 0.5 )1( ) exp[ ] ( )22
w
wiu a A a v u du
uμ σ
σ π σ
∞ − += ∫ (2-24)
wa 2
ln ln(1 )σ δ = + δ δ 0.1~0.5
( )v u
min
min max
max
( ) 0
( ) ln( ) ,
( ) 1,
v u u u
v u a u b u u u
v u u u
=
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21
ISO2631
ISO2631-1(1997)
ADAMS TABLE EXCEL
Matlab Matlab
GB5902-86
ISO2631 GB/T4970-1996
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22
ADAMS/CAR
ADAMS/CAR
ANSYS
MSC.ADAMS
MDIMechanical DynamicsInc2002 MSC
ADAMS
MSC.ADAMS/Solve
MSC.ADAMS/View
ADAMS/Solver ADAMS/View
ADAMS/View
MSC.ADAMS
“ ”
MSC.ADAMS/Aircraft MSC.ADAMS/Car MSC.ADAMS/Engine
ADAMS
ADAMS
17
MSC.ADAMS/Car
ADAMS/CAR MDI
ADAMS/Car ADAMS/Tire
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23
ADAMS/Slove () ADAMS/PostProcessor ()
ADAMS/CAR
ADAMS/SOVER
ADAMS/PostProcessor ADAMS/CAR
ADAMS/CAR
(1)
Topological Structure
General Part
(2)
HardPoint
(3)
3 x y z x I y I z I
3 3
(4) Geometry
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(5) Constrain
(6) Actuators Parameters variable
(7) Communicator
(8) Subsystem
(9) (Subsystem)
(Suspension Test Rig) Full Vehicle Test Rig
Aride Four Post Test Rig (Suspension
Assembly)Full Vehicle Assembly
1.
2.
Model display update at every iteration=
ADAMS
3.
4.
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ADAMS/CAR double-wishbone
X Y Z
3-1
3-1
V
[34]-[35]
ADAMS
3-2
3-3 235.9N/mm, 3-4
3-5
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3-2
3-3
3-4
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3-5
mtl(r)_tierod_to_body
3-6 439.5N/mm 3-7
3-8
3-9
3-6
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3-7
3-8
3-9
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ADAMS UA SWIFT
FTire Fiala MF-tire Pacejka
Fiala UA
Fiala
UA
Fiala
UA UA
3-10 3-1
3-10
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parallel_link_steering
( recirculating ball steering gear )
( sector ) ( rack )
( ball screw )(input shaft)
1
adams/car parallel_link_steering
3-11
UNLOADWED-RADIUS()mm 470
WIDTH mm 318
ASPECT-RATIOmm 0.8
VERTICAL-STIFFNESSN/m 350000
VERTICAL-DAMPING () Ns/m 50
ROLLING-RESISTANGE 0.003
CSLIP N/m 780000
CALPHA N/rad 57000
CGAMMA N/rad 3000
UMIN 0.7
UMAX 0.95
REL-LEN-LON 0.6
REL-LEN-LAT 0.5
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3-11
ADAMS brake_system_4wdisk
suspension_upright ( caliper )
( suspension upright )( rotor )
rotor_to_wheel
( point_torque actuators )
brake_system_4wdisk
/
/ /
3-12
3-12
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adams/car
antiroll_simple
3-13 3-14
3-13 3-14
adams/car
65Kg
1
requests
3-15
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3-15
T0 T0 Tf
Tr
Tfl Tfr Trl Trr
3-16
3-16
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0 M
1 2 0
1
2 M M M = = 3-1
0
M
1 M
2
M
0
12
r M M M −
= (3-2)
02
2
r M M M +
= (3-3)
r M
:1 f i mmT
0i mf T mr T
0
1
( ) f
f mm
f
iT T T
i += −
( 3-4 )
0
1
1( )
r mm
f
T T T i +
= +
( 3-5 )
mmT --- N m
00.5 ( ) fl f mf T i T T = ⋅ ⋅ − ( 3-6 )
00.5 ( ) fr f mf T i T T = ⋅ ⋅ + ( 3-7 )
00.5 ( )rl r mr T i T T = ⋅ ⋅ − ( 3-8 )
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00.5 ( )rr r mr T i T T = ⋅ ⋅ + ( 3-9 )
flT fr T --- N m
rlT rr T --- N m
mf T mr T --- N m
adams/car powertrain
powertrain
3-17
3-2
3-17
cil_diff_tripot_rear
gel(r)_diff_output_rear
jol(r)_rev_diff_output_rear
ges_powertrain
cil(r)_tire_force_rear
halfshaft_omega_rear_left
halfshaft_omega_rear_right
transmission_omega_rear_front
transmission_omega_rear_rear
differential_torque_divider
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differential_torque_rear
gfl(r)_output_torque_rear
col(r)_output_torque_rear
adams/car
FOUR_POST
3-18
ADAMS/Car
3-18
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ADAMS/Car
UA
ANSYS
(MNF) ADAMS ANSYS
ADAMS/CAR
ADAMS ADAMS/Flex ADAMS/Flex ANSYS
ADAMS/Flex
ANSYS
ADAMS/Flex
ADAMS
ANSYS
ADAMS
(1)
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(2) ADAMS
ADAMS/Flex
(3) ADAMS/Flex
Craig-Bampton
ADAMS/Flex Craig-Bampton
Craig-Bampton Craig-Bampton
(4)
ADAMS
ADAMS
ADAMS
[15]
ANSYS
solid45
mass21
20mm 5mm
1900 2100
3-19 3-20 3-3
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3-19 3-20
3-3
E(pa) ρ (kg/mm3) μ
2.1E+011 7.8E-006 0.3
ANSYS
ANSYS ADAMS
ADAMS/Flex
6 10
3-4 10 3-5
10
3-4
1 2 3 4 5 6 7 8 9 10
/Hz 372.3 598.5 985.1 1895.6 2157.7 2876.5 3358.7 3426.8 3489.3 3614.9
3-5
1 2 3 4 5 6 7 8 9 10
/Hz 395.3 612.5 1120.1 2045.7 2478.2 3045.9 3421.8 3514.8 3542.4 3645.5
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Adams/FlexMNF ADAMS/car
MPC
MPC
,
,,
3-21
3-6
3-21
3-6
1 2 3 4 5 6 7 8 9 10
/Hz 80.5 130.4 157.6 162.3 264.1 457.5 501.9 554.4 642.1 751.5
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(1) adams/car
(2) adams/car
(3)
ansys ANSYS
ADAMS ADAMS/Flex (MNF
) adams/car
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adams/car
adams/car RIDE
Ride ADAMS2003 ADAMS/Car
MSC
Functional Digital Vehicle 17
ADAMS/Car Ride
building testing post-processing
NVH Noise
Vibration Harshness
25 28
ADAMS/Car Ride ADAMS/Car
ADAMS/Vibration
RPCIII RPCIII MTS
Remote Parameter Control 21
ADAMS/Car Ride ADAMS/Vibration
ADAMS/Vibration ADAMS/Car Ride
ADAMS/Car Ride
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PSD power-spectral-density
PSD ADAMS/Vibration
ADAMS/Car RIDE
Road-Profile Generation ADAMS/Car Ride
Sayers
n 4-1
2 4( )
(2 ) (2 )
s ad e
G GG n G
n nπ π = + + (4-1)
eG sG
aG
Road-Profile Generation 4 1
4-1 Road-Profile Generation
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eG sG aG
Sayers
4-1
eG sG aG
36( 10 )
m
cycle
−× 6( 10 )m
cycle
−× 61( 10 )
m cycle
−××
0 6 0
0 12 0.17
0.003 20 0.20
0 1 0
0.1 20 0.25
0.1 35 0.3
GB/T4970-1996
GB7031 B GB7031
C
ADAMS 5
200Hz
Hamming 1000 8
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GB/T4970-1996
40km/h50km/h60km/h70km/h80km/h
60km/h
60km/h
adams
FFT
4-2 60km/h
4-3 60km/h
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4-4 60km/h
4-5 60km/h
4-6 60km/h
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4-7 60km/h
4-8 60km/h
4-9 60km/h
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4-10 60km/h
adams table
Matlab
xwa =0.12092/m s ywa =0.0716
2/m s zwa = 0.19242/m s va =0.2752
2/m s
xwa =0.11292/m s ywa =0.0720
2/m s zwa = 0.15982/m s
va =0.24642/m s 4-2
GB/T4970-1996
30km/h40km/h50km/h60km/h
50km/h
50km/h
4-11 50km/h
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4-12 50km/h
4-13 50km/h
4-14 50km/h
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4-15 50km/h
4-16 50km/h
4-17 50km/h
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4-18 50km/h
4-19 50km/h
50km/h
xwa =0.12092/m s ywa =0.0716
2/m s zwa = 0.19242/m s va =0.2752
2/m s
xwa =0.11292/m s ywa =0.0720
2/m s zwa = 0.15982/m s
va =0.2464 2/m s 4-2
(1)
4-12 4-11
4-3 4-4, 4-12 4-13
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4-2
2( )
xwam s
−⋅
2( )
ywa
m s−⋅
2( )
zwam s
−⋅
2( )
vam s
−⋅
40km/h 0.0788 0.0465 0.2061 0.2426
50km/h 0.1176 0.0581 0.1492 0.2366
60km/h 0.1209 0.0716 0.1924 0.2752
70km/h 0.0759 0.0510 0.2265 0.2601
80km/h 0.0827 0.0556 0.2846 0.3169
40km/h 0.0948 0.0403 0.1889 0.2376
50km/h 0.1098 0.0595 0.1387 0.2232
60km/h 0.1129 0.0720 0.1598 0.2464
70km/h 0.0811 0.0518 0.2006 0.2416
80km/h 0.1257 0.0518 0.2388 0.3054
30km/h 0.1312 0.0858 0.1959 0.2941
40km/h 0.0940 0.0733 0.3106 0.3526
50km/h 0.1426 0.0719 0.3304 0.3989
60km/h 0.1804 0.0831 0.2945 0.4051
30km/h 0.1099 0.1010 0.1847 0.2789
40km/h 0.1092 0.0719 0.3065 0.3401
50km/h 0.1257 0.0633 0.3079 0.3655
60km/h 0.2014 0.0744 0.2253 0.3756
(2)
4-5 4-14
4-6 4-7,4-15 4-16
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0.309
0.5~2Hz
(3)
4-8 4-17
4-9 4-10,4-18 4-19
(4) 4-2
(5) 4-2 40~70km/h
0.315
80km/h 0.3169 0.315
30km/h 0.315
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GB5902-86
4-20
4-20
80mmB road_profile setup
(table functions) 80mm
1m 0.4m
4-21 4-22
4-21 4-22
20km/h30krn/h40km/h50km/h60km/h
4-23 4-28
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55
4-23 10km/h
4-24 20km/h
4-25 30km/h
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56
4-26 40km/h
4-27 50km/h
4-28 60km/h
max Z
4-3 4-3 max Z
km/h 10 20 30 40 50 60
max Z
2/mm s 2793 3343 4476 4781 5418 6034
max Z
2/mm s 2742 3061 3982 4695 5353 5487
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max Z
v 4-29
4-29 max Z
v
(1) [45]
231.44 m/s 231.44~43.02 m/s
43.02 2/m s
6.034 2/m s 5.487 2/m s
(2) 4-23~4-28
(3) 4-29
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(1) adams/car
(2) GB/T4970-1996 [22]
matlab
max Z
v
(3)
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1
10.8km/h 0.3m 0.3m 10m
30m
5-1
5-1
5-2~5-9
5-2~5-4 10.8km h
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60
6.2km h
4s
5-5~5-8
5-9
30m
5-2
5-3
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5-4
5-5
5-6
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5-7
5-8
5-9
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1 0.3m 0.3m
10m 10.8km/h
30m 5-10
5-11~5-18
5-11
5-10
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64
5-12
5-13
5-14
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5-15
5-16
5-17
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5-18
5-11 10.8km h
5-12 5-13
5-14
10 30m
5-15
5-16~5-18
40%
20m 1
10.8m/h 10m
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DCF 5-19
ADAMS
5-20~5-28
5-20
5-21
5-19
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68
5-22
5-23
5-24
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69
5-25
5-26
5-27
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5-28
5-20
11.75km/h 5-21
5-22 5-23
5-24 5-25
30m 40%
5-26
5-27 5-28
2
o
,
40%
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40%
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ADAMS/CAR
ANSYS
ADAMS/CAR
ANSYS ADAMS
ADAMS
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73
1.
2.
3.
4. ADAMS
Matlab Matlab
ADAMS ADAMS
5.
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75
[1] 2000
[2] 1992
[3] 1998
[4]
1993.3
[5] 1996 05
[6] Thomas D.Gillespie 2006
[7] D.E.Newland,General Liner Theory of Vehicle Response to Random Road Roughness
[8] 1998
[9] 2000
[10] 1995
[11] GB7031-86
[12] Healey,A.J.,Nathman,E.,Smith,C.C.,An analytical and experimental study of automobile
dynamics with random roadway inputs,Trans.Of the ASME,J.of Dynamics
Systems,Measurement,and Control,December 1997
[13] GB/T4970-1996
[14] GB/T5902-86
[15] 1997
[16] 2003
[17] 1991
[18] 2008.2
[19] 2004.5
[20]
2006
[21] 2002.9
[22]
2007
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[23] A Study on the Handling Performances of a Large-Sized Bus with the Change of Rear
Suspension Geometry, SAE Paper 2002-01-3071
[24] RX6400 SUV D]. 2007
[25] .[D].
2007
[26] . [J].20032
[27] Real Case of Vehicles Dynamics Simulation during an SUV Suspension Development ,
SAE Paper 2005-01-4177
[28] . ADAMS [D].
2006
[29] Development of a New Suspension, SAE Paper 2000-01-0092
[30] . [D]. 2007
[31] .[D].
2007
[32] Innovation Component Management for the Air Suspension, SAE Paper 2005-01-1722
[33] Improving the Ride & Handling Qualities of a Passenger Car Via Modification of its Rear
Suspension Mechanism, SAE Paper 2000-02-1630
[34] Investigation into Suspension Dynamic Compliance Characteristics Using Direct
Measurement and Simulation, SAE Paper 2004-01-1065
[35] Steering and Suspension Test and Analysis, SAE Paper 2000-01-1626
[36] . K&C [D]. 2005
[37] . ADAMS [D].
2006
[38] . [J].20011
[39] . [J].200511
[40] .[J].20003
[41] .8X8 [D].
2005
[42]
.
[D].
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77
2005
[43] . [J].20005
[44] . RX6400 SUV [D]. 2007
[45] . [D]. 2005
[46] . ADAMS/Car [D].
2007
[47] . . [D].
2007
[48] . [D].
2007
[49] .NJ2045 [D].
2004
[50] . ADAMS [D].
2001
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!
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