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Ab
ThioceandfluistruaxiflowinvonlElesimA mobsproampdam
Int
Theinvthe Geo
Flooccundenoclashavshoare any
Figuand
OvharOnindobjfreqcre
th Australasian rth, Australia 8 December 201
bstract
is paper investiean renewable d tidal stream enid-elastic instaucture results ins. The use of ws has receive
vestigation examly, covering pectrical eddy cumulate the powemaximum powserved at the ovided an impplitude and fr
mping.
roduction
e subject of fluvestigated for it
work by Du anoola [4].
ow-induced osccur when an elder conditions wough to decay ssified into twving its own sould be noted th
not independeny given time [14
ure 1. Flow-indud Armandei [7])
er the past decarvesting potentie of the FIV m
duced vibrationect in a flow caquencies. A fated and imple
Fluid Mechanic
16
Torsi
S
igated the potenenergy mecha
nergy. The torsability. Steady n oscillatory rothis mechanismed very little mined the perfplate aspect raurrent damping
er take-off or enwer extraction e
lowest aspect proved understrequency are a
uid flow-inducets detrimental end Sun [5], Tho
illations are thlastic restrainedwhen the struc
the motion [wo types, reson
sub-classificatiohat the basic tynt, and there m4].
uced oscillations
ade, the marineal of flow-indu
mechanism propns (VIV). The auses the structufew groups of emented device
cs Conference
ional Gall
School of MeUniversity o
ntial of torsionaanism to harvesional galloping
uniform fluidotational motionm to harvest th
attention to dformance of flaatios ranging fg was applied nergy harvestingfficiency of a m
ratio trialled.tanding of hoaffected by the
ed vibration (FIeffects on mariorsen et al. [16]
e vibrations ofd structure is ectural damping [17]. These osnance and instaons, as shown
ypes of flow-inday be more than
flow chart (adap
e current and tiuced vibration hposed for this
shedding of ure to vibrate atf researchers hes which are ab
loping Ma
B. Stappen
echanical, Mof Wollongon
al galloping as st marine curr
g phenomenon id flow past n around a centhe energy in fludate. The presat plate structufrom 0.4 to 1to the system
g from the devimodest 5.1% w The study aow the respone power take-
IV) has long beine structures (] and Bokaian a
f an object, whexcited by a fl
is not significscillations can ability, with ean in Figure 1.duced oscillation one occurring
pted from Fernan
dal stream enerhas been explorpurpose is vorvortices from t one of its natuhave successfuble to harvest
arine Cur
nbelt and A
aterials and g, New Sout
an rent is a the tral uid ent
ures 1.5.
to ice. was also nse -off
een (e.g and
ich ow ant be
ach It ons g at
ndes
rgy red. rtex
an ural ully the
enJo
Alenre[1spunbe[7ex
Gaflosutraoctra(pderogaso
IntorosrethrthrcopoAddiranwi
Figph
Thtorenwaof
rrent Ene
. D. Johnsto
Mechatronicth Wales, 252
nergy for powerohnstone and St
lso of growingnergy extractionstrained structu0, 11] for exam
plitter-plates wniform flow. Toeen examined re, 8], provided
xperimentation w
alloping can beow induced vibustained manneanslating or toccurs when the ansverse (perparallel to fluid
efined as the otate on a hinged
alloping, requiroft galloping, wh
n their study rsional gallopi
scillatory motioduced velocitieresholds (see Freshold reduce
onstant extremosition, providedditionally, Fersplacement amnge. Only slighith increasing re
gure 2. Torsihenomenological
he present papersional gallopin
nergy. The funas examined wff (PTO) dampin
rgy Extra
one
c Engineering22, Australia
r generation froappenbelt [11]
g interest in then is the gallopure. In the studmple, translatio
was employedo a far lesser deecently. The stu
numerical anawith an associa
e defined as a hybration which cer in a single orsional motiostructure unde
pendicular to d flow), or bo
oscillatory motid axis [9]. It caing an externalhich is self-init
of low-head ing, Fernandesons were only pes, having we
Figure 2). No osd velocity and
me deflection oed an upper rnandes and Armmplitude and ht increases in reduced velocity
ional gallopingmodelling (adapt
er continues theng to harvest damental case
with particular fong and plate asp
action
g a
om VIV (e.g. Band Liu et al. [
e field of flowping instabilityies by Johnstononal galloping to extract en
egree, torsionaludies by Fernanalysis of torsioated energy harv
ydrodynamic incauses a structu
degree of freon [17]. Transergoes oscillati
fluid flow) oth [17]. Torsion when the san be further defl influence to siating [13].
hydropower es and Armandproduced over
ell defined minscillations werestatic instabili
of the object limit to the gmandei [7] noteresponse frequresponse ampliy.
g amplitude pted from Fernand
e investigation marine currenof flat plate t
focus on the effpect ratios.
Bernitsas et al.12]).
w-induced vibray of an elasticne and Stappenof a cylinder w
nergy from stel galloping has ndes and Armanonal galloping vesting device.
nstability; a typure to oscillate eedom in eitheslational gallopons which may[15], longitud
sional gallopingstructure is frefined as either hstart the motion
extraction throdei [7] found
a certain rangnima and maxe observed beloity, consisting
from its neugalloping motied a fairly consuency across itude was obser
predictions throdes and Armandei
of the potentiat and tidal strtorsional gallopfect of power ta
[2],
ation cally nbelt with eady also ndei and
pe of in a er a ping y be dinal g is e to hard n, or
ough that e of
xima ow a of a utral ons. stant this
rved
ough i [7])
al of ream ping ake-
Me
Stesecpreperratipreall Altplatself
Fig
Eddpowmasecsepare betwpromoThedamincrdectriaThefrom
FiguEdd
Thethroarmsysdiscindouthen
ethodology
ady uniform cutions along a
esent investigrformance of flios (L/D) rangievious investiga
experimentatiothough strictly, te misalignmenf-initiate the ga
gure 3. Experimen
dy current damwer take-off or gnets were arration, they trave
parating the comgenerated in t
ween a magnetoduce a reactivetion, proportione Eddy currentmper [6]. As thereased, the amo
creases exponealled, correlatine linear PTO dm the prior stud
ure 4. Experimendy current magnet
e torsional stifough a pair of
m. This allowetem. The array c transferred t
duction, and protput was estimance velocity) us
urrent condition32.5m long 1
gation examinlat plate structuing from 0.4 toations (e.g. [7])on was alignethis represents
nt or perturbatioalloping.
ntal apparatus ske
mping was applienergy harvest
anged so that wersed a thick almponents (see the conductor wtic field and thee force which nal to velocity t damper therefe distance betwount of magnetentially. An airng to a dampindamping distingdies by Fernand
ntal apparatus mtic damper
ffness of the rof linear springs ed variation ofof magnets in r
torque from thovided the powated from meassing a non-con
ns were simulat1m1m cross-sned the torsures only, coveo 1.5. This ran). The plate need with the ts a case of hardons in the flow
etch
ied to the systeting from the d
with galloping mluminium disc Figures 3 and when there is e conductor. Thacts in the oppin accordance
fore behaves asween the magnetic flux cut by tr-gap range ofg ratio range oguishes the predes and Armand
mounted on the to
otational systemworking on an
f the natural relative motionhe shaft throu
wer take-off damurements of ro
ntact magnetic r
ted by towing tsection tank. Tsional gallopiering plate aspnge is larger theutral position towing directi
d galloping, minwere sufficient
em to simulate device. A seriesmotions of the twith a set air-g4). Eddy currea relative moti
hese eddy curreposite directionwith Lenz's Las a linear viscot and conductorthe conductor df 1 to 7mm wof 0.033 to 0.2esent investigatidei [7].
owing carriage w
m was controln adjustable levfrequency of
n to the aluminiuugh eddy currmping. The powtary position (arotary encoder
test The ing
pect han for on. nor t to
the s of test gap ents ion
ents n of aw. ous r is
disc was 36. ion
with
led ver the um rent wer and on
thafo
Thdenusuexan
Ta
Reno(Daft
Re
A mgahigtraosinratga
Fig0.5
Fig
Thantretorslico
e shaft and dforementioned a
he structural daetermined to beumber range of ubcritical regimxtraction studiend ranges are sp
Parameter Aspect ratio raPlate width (DStructural damReduced velocReynolds numPTO damping
able 1. Experimen
educed velocitormalised by thD). Only runs fter the initial tr
esults and Di
sample timeeasured is pres
alloping did nogher aspect ratiansitioned direscillations aroustability as thetio plates 1.2 an
alloping under a
gure 5. Galloping575 m/s)
gure 6. Amplitud
he amplitude rend 0.8 are dispend lines have rsional gallopinightly with redonclusions by F
damping torquealuminium disc
amping ratio ine 2.5% throughall experimenta
me than previs (e.g. [7]). Th
pecified in Tabl
ange (AR) D) mping ratio city range (Ur)
mber range ratio range (ζ)
ntal parameter va
ty (Ur) valuehe still water nwhere steady ansient respons
iscussion
series of thsented in Figu
ot occur in all cios and PTO dactly from a tra
und a constant reduced velocnd 1.5 exhibitedany condition tr
g response time s
de response; AR =
esponse plots foplayed in Figurbeen fitted to ng response am
duced velocity. Fernandes and
e using a torq.
n the experimenh free decay teation covered aious torsional he experimentae 1.
Value 0.4 - 1.5 0.30 m 0.025 1.8 - 3.5 5.77 x 100.036-0.3
lues
s presented inatural frequencstate oscillation
se, were include
he torsional gure 5. This steacases trialled. amping, the respansient instabilplate deflectio
city increased. Td no signs of sterialled.
eries sample; AR
= 0.4
or the plates wires 6 and 7 reeach PTO dammplitude is obThis result is cArmandei [7]
que sensor on
ntal apparatus ests. The Reyna larger range of
galloping eneal parameter va
04 – 2.45 x 105
300
in this paper cy and plate wns were observed in the analys
galloping respoady state torsioParticularly at
ponse motion olity (small uneon angle) to stThe highest aspeady state torsio
= 0.8, ζ = 0.036,
th aspect ratiosespectively. Lin
mping data set. bserved to increconsistent with]. Also discern
the
was olds f the ergy
alues
are width
ved, sis.
onse onal t the often even tatic pect onal
, U =
s 0.4 near The ease
h the nible
fromoveredobsinflresp
Figu
As galnotasp
Figu
Figu
The(ϴm
sumcordamconasp
m Figures 6 aner which gallopduced velocitiesserved at highluence of the PTponse region to
ure 7. Amplitude
expected, the loping oscillatited that the ospect ratio.
ure 8. Frequency
ure 9. Frequency
e galloping remax), frequencymmarised in Tarrespond to themping. There nclusions regarpect ratio on the
nd 7 is the limping occurs. Ns below those pher reduced veTO damping ap
o a higher reduc
response; AR = 0
higher the PTon frequency (scillation frequ
response; AR = 0
response; AR = 0
educed velocity (f) and normable 2. Lower e lower plate is insufficient rding the effece torsional gallo
mited range of rNo oscillations plotted and statelocities. The ppears to be to sced velocity ran
0.8
O damping ratsee Figures 8 a
uency increased
0.4
0.8
ty range, oscimalised frequefrequency osciaspect ratios data to draw
ct of PTO daoping reduced v
reduced velocitwere observedtic instability wmost signific
shift the gallopinge.
tio, the lower and 9). It was ad with increasi
llation amplituency (f*) data illations appearand higher PT
w any meaningamping and plvelocity range.
ties d at was ant ing
the also ing
ude is
r to TO
gful late
ζ
0000
0000
000
000
00
Ta
Thex14
Ththre
Fig
Fig
Thratis smrepan
ζ Urnmin
0.236 2.19 0.143 2.12 0.071 1.99 0.033 1.99
0.236 2.49 0.143 2.490.071 2.36 0.033 2.36
0.143 2.82 0.071 2.70 0.033 2.70
0.143 3.27 0.071 3.04 0.033 2.92
0.071 3.14 0.033 3.14 able 2. Summarise
he power coeffxperienced stead4. The power co
he capture areae actual captursult in the repor
gure 10. Power c
gure 11. Power c
he maximum potio of AR = 0.4an order of m
mall, the power ported results
nd pivoted [11]
n Urrnmax ϴAspect ra
2.45 702.39 752.12 751.99 65
Aspect ra2.77 672.77 782.63 702.49 74
Aspect ra3.44 753.19 742.94 76
Aspect ra3.51 693.39 693.27 73
Aspect ra3.36 653.36 71
ed experimental r
ficient (Cp) plody state gallopioefficient is def
5.0C p
a used in equatre area can berted power coef
oefficient; AR = 0
oefficient; AR = 0
ower coefficien4 and PTO dammagnitude sma
coefficients acfor VIV energysystems.
ϴmax (deg) f (Hatio 0.4 0.93 0.15.00 0.15.81 0.15.71 0.1atio 0.6 7.77 0.18.37 0.10.62 0.14.80 0.1atio 0.8 5.69 0.14.10 0.26.09 0.2atio 0.9 9.50 0.19.65 0.23.31 0.2atio 1.0 5.85 0.11.35 0.2results
ots for all plateing are presentefined as
35 AU
Pout
ion 1 is the plae significantly fficients being c
0.4
0.6
nt observed wasmping of ζ = 0.2aller than Betz'chieved are in liy extraction us
Hz) f*
4 0.28 5 0.31 5 0.30 6 0.32
3 0.22 7 0.287 0.28 8 0.29
7 0.25 20 0.29 20 0.30
7 0.24 20 0.28 21 0.29
8 0.25 20 0.27
e aspect ratios ed in Figures 1
ate area (DL)smaller, this dconservative.
s 5.1% at an asp36. This efficie's Limit. Althoine with previosing translating
that 0 to
(1)
. As does
pect ency ough usly
g [2]
Figu
Figu
Figu
Co
Theindprerespthe red
Theshifranharpre
Theinvratigalwitusininto
Ac
TheDru
ure 12. Power co
ure 13. Power co
ure 14. Power co
onclusions
e observations duced vibrationevious work in ponse amplitud
oscillation frduced velocity r
e most significaft the galloping
nge. The smalrvesting efficienesent study obse
e highest recordvestigation was io and highest Ploping FIV enth this result. Gng VIV yield o the use of tors
knowledgme
e authors gratefury to this study
efficient; AR = 0.
efficient; AR = 0.
efficient; AR = 1.
made in the cn energy extracthis field by Fe
de increases slirequency is rerange.
ant effect of ing response regiller the aspectncy with a maxerved to occur a
ded energy har5.1%. As this wPTO damping tnergy extractionGiven that simila
comparable efsional galloping
ents
fully acknowledy.
.8
.9
.0
current torsionaction study areernandes and Aightly with reduelatively unaff
ncreasing the PTion to a highert ratio, the bximum power
at AR = 0.4.
rvesting efficienwas observed attrialled, the potn may be bettar FIV energy hfficiencies, furtg would appear
dge the contribu
al galloping floe consistent w
Armandei [8]. Tuced velocity afected across
TO damping isr reduced velocbetter the ener
coefficient in
ncy in the currt the lowest asptential of torsioter than indicaharvesting studther investigatito be warranted
ution by Mr. Ry
ow-with The and the
s to city rgy the
rent pect nal
ated dies ion d.
yan
Re
[1
[2
[3
[4
[5
[6
[7
[8
[9
[1
[1
[1
[1
[1
[1
[1
[1
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