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15420138ProgressinSteelBuildingStructuresVol.15No.4Aug.2013收稿日期:2012-11-07;收到修改稿日期:2013-03-27作者简介:李春祥(1964—),男,博士,教授,主要从事钢结构教学和科研工作。E-mail:li-chunxiang@vip.sina.com。汪英俊(1986—),男,硕士,主要从事民用建筑结构设计。ABAQUS李春祥1,汪英俊21.2000722.312000StripModelSM。ABAQUSUELforSM。ABAQUS4。、1020。2%。1/40。TU313TU352.1A1671-9379201304-0028-07ABAQUSBasedModuleforElasto-PlasticDynamicAnalysisofAseismicSteelPlateShearWallsLIChun-xiang1WANGYing-jun21.DepartmentofCivilEngineeringShanghaiUniversityShanghai200072China2.HuahuiEngineeringDesignGroupCo.Ltd.Shaoxing312000ChinaLIChun-xiangli-chunxiang@vip.sina.comAbstractStripmodelSMusingtension-onlystripsiscapableofpredictingthepost-bucklingbehaviorofsteelplateshearwallsSPSWswitheconomicalcomputationcosts.ThispaperpresentsausersubroutinedevelopedforevaluatingseismicresistanceofSPSWnamedUELforSMincommercialfiniteelementsoftwareABAQUS.ThevalidityofUELforSMisestablishedthroughcomparingagainstthetestresultsonafour-floorsingle-bayofSPSW.Itisfoundthatundermonotonicloadingutilizingaratioof2%ofpost-yieldstrainhardeningtoinitialelasticmodulusforsteelplatesachievedbetterfitwithtestresults.ThustheanalysiswascarriedoutonSPSWundercyclicloadingusingtheabovepost-yieldtoelasticmodulusratio.ThepredictionsfromUELforSMarecomparedtothoseobtainedfromexperimentsandagoodagreementisobtainedwhenthestorydriftissmallerthan1/40.KeywordssteelplateshearwallSPSWstripmodelSMusersubroutineseismicresistanceSPSWsVerticalBoundaryElementVBE、HorizontalBoundaryElementHBEWebLFRS、。SPSWs。SPSWs、、、。CBFsSPSWs、SPSWs。2070SPSWs。SPSWs、。2080SPSWsSPSWs。SPSWs4ABAQUS。1。SPSWsSPSWs1-5。SPSWs。SPSWs1OliveViewHospital。1994Northridge6。1995SPSWs351。55LosAngelesConventionCenterHotelSPSWs7。337m“+SPSWs+”SPSWs8。SPSWsStripModelSM。SMSPSWs。ABAQUSABAQUSSM。ABAQUSUELforSM。1SPSWsThoburn91。SMTimlerKulak10SPSWsα=tan-11+tL/2Ac[]/1+th1/Ab+h3/360IcL()[]槡1thLIcAcVBEAbHBE。SMSPSWs11。V=12FytLsin2α2Fy1。SMSPSWs。SPSWsSM。CAN/CSA16-01、FEMA450、AISC341、AISCDesignGuide20SMSPSWs。SM、。。。1%~2%。ABAQUSUMATUEL。SMUEL。ABAQUSSPSWs。。1Fig.1StripmodelSM2SPSWsLρx、uεxji=xj-xiuji=uj-u{ixyzuυω3ε=1L2xjiuji+yjiυji+zjiωji+12u2ji+υ2ji+ω2ji[]46×6KeKe=K-K[]KK5K=EAL3x2jixjiyjixjizjiy2jiyjizjiz2ji69215Me=ρAL/2ρAL/[]27PiMu··i+Cu·i+Kui=Pi8fSiKuiMu··i+Cu·i+fSi=Pi9Newmark8u·i+1=u·i+1-γu··i+γΔtu··i+110ui+1=ui+Δtu·i+0.5-βΔt2u··i+βΔt2u··i+1111011βγΔt。Δui=ui+1-uiΔu·i=u·i+1-u·iΔu··i=u··i+1-u··iΔPi=Pi+1-Pi121011Δu·i=Δtu··i+γΔtΔu··iΔui=Δtu·i+Δt22u··i+βΔt2Δu··i1313Δu··i=1βΔt2Δui-1βΔtu·i-12βu··i14Δu·i=γβΔtΔui-γβu·i+Δt1-γ2()βu··i151415MΔu··i+CΔu·i+KΔui=ΔPiK^Δui=ΔP^i16K^=K+γβΔt+1βΔ()t2MΔP^i=ΔPi+1βΔtM+γβ()Cu·i+12β+Δt12β-()1[]Cu··i1716Δui1514Δu·iΔu··i12ui+1、u·i+1u··i+1。i+18“”。9MΔu··i+CΔu·i+ΔfSi=ΔPi18Δf()Si=KisecΔui19ui+1Kisec。ΔtKiTKisec。Δf()Si≈KiTΔui20KiTT18MΔu··i+CΔu·i+KiΔui=ΔPi2121。Δt。。Newton-Raphson。16K^iΔui=ΔP^i22ΔP^i17K^i=Ki+γβΔt+1βΔ()t2M231K^iΔu1i=ΔP^i241“Δf1”ΔP^iΔR2=ΔP^-Δf1。ΔR2Δu2iK^iΔu2i=ΔR2=ΔP^-Δf125Δu2iΔR3。l。Δu=∑lj=1ΔujΔuli。ii+1Δui=∑lj=1Δuj26Δui。、。3SPSWsSM。ABAQUS。、。。。ABAQUSABAQUS。ABAQUS034ABAQUSUserSubroutine。、。①ABAQUS②FORTRAN③④Restart⑤ABAQUS。ABAQUSUser-definedMaterialMechanicalBehaviorUMATUser-definedElementUEL。ABAQUS/StandardABAQUS/Explicit。UELUEL12。2ABAQUSSPSWsSMUELforSM。ABAQUSUELSDVUEL。UEL。2ABAQUSFig.2FlowchartofABAQUSbasedUELforSMofearthquake-resistantSPSWsusingSM4UELforSMABAQUSUEL2SDVUEL。UEL。UELforSMABAQUS.inp。……………………………………*USERELEMENTNODES=2TYPE=U1PROPERTIES=6COORDINATES=3VARIABLES=28123*UELPROPERTYELET=elset_nameArea_of_StripModulus_of_ElasticityPossion's_RatioDensityPost-yield_Stiffness_RatioYield_Stress*ELEMENTTYPE=U1ELSET=elset_name1315……………………………………*USERELEMENTU126328SDV。*UELPROPERTY。*ELEMENT。55.1ABAQUSUELforSMUELforSMSPSWsDriver3UELforSM。4SPSWs350%460%。7.42m3.05m。11.927m2、31.829m41.835m。W310×118。1、2、3W310×60W530×82。SPSWs。。4.8mm、4.8mm、3.4mm3.4mm。3SPSWsmmFig.3SPSWstestmodelstructureUnitmm5.2SPSWsABAQUSSPSWs。4ABAQUS。ABAQUSB31Timoshenko。。、1020。UELforSM。。。、。。。。。。0、1%2%。4SPSWsFig.4SMofSPSWstestmodelstructure5.3UELforSM5UELforSM。51UELforSM。SMSPSWs。234ABAQUS5UELforSMFig.5UELforSMandexperimentalresultsoffirststoryshearvs.firststorydriftundermonotonicloading。。SPSWs。22%1/40131/50。。UELforSM。1/40UELforSMSPSWs。31%2%。1/501/40~1/30。4。1/80。2%UELforSMSPSWs。UELforSMSPSWsUELforSM→→→→……。UELforSM。。62%UELforSM。6UELforSMFig.6UELforSMandexperimentalresultsoffirststoryshearvs.firststorydriftundercyclicloading61UELforSM。51/501/40。UELforSM。2UELforSM→→→→。UELforSM-。3。UELforSM。4。x5、。。6SMSPSWs。ABAQUSUELforSM。UELforSM4SPSW。UELforSM1/403315UELforSM。UELforSM。1FujitaniHYamanouchiHOkawaIetal.Damageandperformanceoftallbuildingsinthe1995HyogokenNanbuearthquakeC∥ProceedingsofThe67thRegionalConferenceCouncilonTallBuildingandUrbanHabitat.Chicago1996103-1252CacceseVElgaalyMChenR.Experimentalstudyofthinsteel-plateshearwallsundercyclicloadJ.JournalofStructuralEngineering19931192573-5873DriverRGKulakGLKennedyDJLetal.Cyclictestoffour-storysteelplateshearwallJ.JournalofStructuralEngineering19981242112-1204DriverRGKulakGLElwiAEetal.FEandsimplemodelsofsteelplateshearwallJ.JournalofStructuralEngineering19981242121-1305LubellASPrionHGLVenturaCEetal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