典型2维柱体涡激振动的数值模拟研究

37720097()JOURNALOFTONGJIUNIVERSITY(NATURALSCIENCE)Vol.37No.7Jul.2009:0253374X(2009)07086205DOI:10.3969/j.issn.0253374x.2009.07.003:2008-01-11:(50621062);(90715040);(07R214162):(1974),,,.Email:[e-mail](1957),,,,,,.Email:[e-mail]2方平治1,2,顾明1,谈建国2(1.,200092;2.,200030):,2.:22,;,22S(2-single)2S;,0,;,.:;;:O353.1:AStudyonVortexInducedVibrationforTypicalCylindersUsingNumericalMethodFANGPingzhi1,2,GUMing1,TANJianguo2(1.StateKeyLaboratoryforDisasterReductioninCivilEngineering,TongjiUniversity,Shanghai200092,China;2.ShanghaiTyphoonInstituteofChinaMeteorologicalAdministration,Shanghai200030,China)Abstract:Byvirtueofthecodefortheaeroelasticproblemsbasedonthelooselycoupledmethodworkedoutbytheauthors,vortexinducedvibration(VIV)fortypicalcylinders,includingcircularandsquarecylindersaresimulated.ComputationalresultsshowthatthereexisttwolockinstatesfortheVIVofthetwodimensionalcylinders:oneisstreamwiselockinatlowerreducedvelocityandtheotherislaterallockinathigherreducedvelocity.Withtheincreaseofthereducedvelocity,thevortexsheddingmodecouldbechangedfromoutofphase2S(2-single)toinphase2S,andatthesametime,thephasedifferencebetweentheaerodynamicforceandthedisplacementcouldbechangedfrom0to,whichisthesocalledphaseswitchphenomenon.Byanalyzingthephaseswitchphenomenon,themechanismforthelimitedamplitudeoftheVIVisstudied.Keywords:vortexinducedvibration(VIV);looselycoupledmethod;phaseswitch,.,,2,2[1-3],,.,,,.,,..,,,[1-2,4].,.,2S(2-single).2S2.,.,,,,.,[5].2:[6].7,:2.,,,,.,.,[7].[8],2(),[8-9].[10],2,.,,.,,[8].1,.[8,10].,[10].[10],.Re=UD/=100;,U=0.0146m!s-1,D=0.1m,.M*=0.0208;,M*=!s/!,!s,!,=0.002.1,U*=U/fnD,fn.1Tab.1ComputationalschemefortheVIVofcircularcylinderattwodegreeoffreedomsU*1.02.02.52.83.04.0fn0.14600.07300.05840.05210.04870.0365U*5.05.66.06.47.08.0fn0.02920.02610.02430.02280.02090.018212U*=3.0U*=5.6.,x,y,f*=fvs/fn,fvs.,U*=3.0U*=5.6,,,(2)(1).1U*=3.0Fig.1TimehistoryofdisplacementandspectrumofthevibratingcircularcylinderatU*=3.02U*=5.6Fig.2TimehistoryofdisplacementandspectrumofthevibratingcircularcylinderatU*=5.6863()3734U*=5.0U*=6.0,32S,42S.,(),();,(),()2S.,T,t.t=0,;t=0.5T,(1,).3U*=5.0Fig.3VortexsheddingmodeatU*=5.04U*=6.0Fig.4VortexsheddingmodeatU*=6.02:,2,;,2S2S.2,..(),[11].,,.,,;,,;,..2,,2∀t,#,∀∃=180#∀t/,∀∃.,fn/fst,5,fst2.,.:U*(,U*4.0,5.0,5.6,6.0,6.4,7.0,8.0;,U*8647,:26.0,7.0,7.3,7.4,7.5,7.7,8.0,9.0),fn/fst,fn/fst∀1.0,0.:,,U*=5.62S,(0);,U*=7.52S,.:#,,;∃2S,2S.[12].5fn/fstFig.5Variationofthephasedifferencewithfn/fst361,0.4A,B,C,D,.,,;,4,.,,.:0,,6a;,,6b.,:0,A,,,;B,,,,;,A,,,;B,,,,.6Fig.6EffectsofthephasedifferenceonVIV,,,.:,,;,,;,,,,;,,.4(1),2,.(2),2fn/fst∀1.02S2S,,865()370,.(3),,.:[1]WilliamsonCHK,GovardhanR.Vortexinducedvibrations[J].AnnualReviewofFluidMechanics,2004,36:413.[2]SarpkayaT.Acriticalreviewoftheintrinsicnatureofvortexkinducedvibrations[J].JournalofFluidsandStructures,2004,19(4):389.[3]GabbaiRD,BenaroyaH.Anoverviewofmodelingandexperimentsofvortexinducedvibrationofcircularcylinders[J].JournalofSoundandVibration,2005,282(3/4/5):575.[4]OkajimaA,KosugiT,NakamuraA.Flowinducedinlineoscillationofacircularcylinderinawatertunnel[J].JournalofPressureVesselTechnology,2002,124(1):89.[5],,.[J].,1997,27(1):9.XINGJingtang,ZHOUSheng,CUIErjie.Asurveyonthefluidsolidinteractionmechanics[J].AdvancesinMechanics,1997,27(1):9.[6]FelippaCA,ParkKC,FarhatC.Partitionedanalysisofcoupledmechanicalsystems[J].ComputerMethodsinAppliedMechanicsandEngineering,2001,190(24/25):3247.[7]FarhatC,vanderZeeKG,GeuzaineP.Provablysecondordertimeaccuratelooselycoupledsolutionalgorithmsfortransientnonlinearcomputationalaeroelasticity[J].ComputerMethodsinAppliedMechanicsandEngineering,2006,195(17/18):1973.[8],.[J].:,2007,35(7):888.FANGPingzhi,GUMing.Numericalmethodforsolvingaeroelasticproblemsbasedonlooselycoupledmethod[J].JournalofTongjiUniversity:NaturalScience,2007,35(7):888.[9],.[J].:,2008,36(2):161.FANGPingzhi,GUMing.Numericalsimulationofvortexinducedvibrationforasquarecylinderathighreynoldsnumber[J].JournalofTongjiUniversity:NaturalScience,2008,36(2):161.[10],.[J].:,2008,36(3):295.FANGPingzhi,GUMing.Numericalsimulationforvortexinducedvibrationofcircularcylinderwithtwodegreeoffreedoms[J].JournalofTongjiUniversity:NaturalScience,2008,36(3):295.[11],.[J].,2004():110.LEIYu,TAOYonghong.Digitalalgorithmanalysisofmeasuringphasedifference[J].JournalofSichuanUniversityofScienceandTechnology,2004(S1):110.[12]AnagnostopoulosP.Numericalstudyoftheflowpastacylinderexcitedtransverselytotheincidentstream.Part1:lock-inzone,hydrodynamicforcesandwakegeometry[J].JournalofFluidsandStructures,2000,14(6):819.!!姚武,徐晶,3..,,..866