基于能量方法的RC框架结构连续倒塌抗力需求分析-梁机制-李易

JournalofBuildingStructures3211201111Vol.32No.11Nov．20110011000-6869201111-0001-08RCI12221．1001242．100084。。RCRCRC。。RCTU375.401AProgressivecollapseresistancedemandofRCframestructuresbasedonenergymethodIbeammechanismLIYi12YELieping2LUXinzheng21．KeyLaboratoryofUrbanSecurityandDisasterEngineeringofChinaMinistryofEducationBeijingUniversityofTechnologyBeijing100124China2．KeyLaboratoryofCivilEngineeringSafetyandDurabilityofChinaMinistryofEducationTsinghuaUniversityBeijing100084ChinaAbstractThekeyissueoftheprogressivecollapsePCdesignmethodistodeterminethePCresistancedemandofthestructurewithremovedmembersduetoaccidentalaction．TheempiricalparametersthatareadoptedinthedesignmethodsoftheexistingcodesaredifficulttoreasonablyconsidertheeffectofnonlinearanddynamicbehaviorduringthePCprocessofbuildingstructuresduetotheweaktheoreticalbasis．AtheoreticalframeworkforthePCresistancedemandanalysisofRCframestructureswasestablishedbasedontheenergyconservationprinciple．InthisframeworktherelationshipbetweenthenonlineardynamicandlinearstaticPCresistancedemandsforRCframestructureswithbeammechanismtoresistPCwasderived．TheinfluencesofnonlinearanddynamicbehaviorswerecomprehensivelyconsideredsothatthenonlineardynamicPCresistancedemandscouldobtainedbyusingthelinearstaticanalysis．Atlasttheempiricalparametersinexistingcodeswerediscussedandtheproposeddemandrelationshipbasedontheenergyconservationprinciplewasvalidatedthroughnumericalexamples．KeywordsRCframestructureprogressivecollapsebeammechanismresistancedemandenergyconservationprinciple2006BAJ03A029732012CB719703NCET-10-0528。1981—。[e-mail]1960—。[e-mail]2011610、。“”1。。RC1a1b1-3。RCRbRcMF1。。、、4-5、。。4-56-8。。。9-11。Pujol12ab1RCFig．1ProgressivecollapsemechanismandresistanceofRCframestructure。。1nonlineardynamicND2MNDFND。MNDFND2⑤。4-52linearstaticLSMLSnonlinearstaticNSFNS2③。MLSFNSMNDFND2④-MLSFNSMNDFND。2Fig．2FrameworkofPCresistancedemandanalysisbasedonenergyconservationprinciple2④。11Δ-2①--2②。21-。22②--。3MLSFNS。42-MLSFNSMNDFND。2-3。mG。KRΔΔ1。m。mΔmWW=GΔ1UU=∫RΔdΔ2UW3。U=W33UU≥W。3Fig．3SingledegreeoffreedommodelforPCanalysis-1G3RSGΔSΔSG。2R-Δ1～3GRNDGΔNDΔND。3Δy、ΔSΔNDR-Δμβμ=ΔNDΔy4β=ΔyΔS541～3γRNDRS-γ=RNDGΔNDRSGΔS=fμβ66-γ“”RSGΔS。Δuβ6γγmin。RC。RC13。31a4。RC。m'G4m'GM1M212。、12-。4Fig．4Schematicdiagramofsubstructureunderbeammechanismab5Fig．5Resistancecurvesofstructureandmemberunderbeammechanismm'、Δ。12M1M212Rb4。5aOA、AB、BCCD。5aM1y、M1p、M1u1、Δ1y、Δ1p、Δ1u、Δ1f1、、、。Δ1u1、5aC4M1u。21。RbM1M2Rb=Rb1+Rb2=M1L1+M2L27712M1M2Rb1Rb2Rb1+Rb212Rb5b。RbOA、AB、BCCD。Rby、Rbp、Rbu、Δby、Δbp、Δbu、Δbf、、、。ΔbyPujol128。Δby=Δ1+Δ228Δ1Δ2。Δbp。141542ΔuΔy10。10。7。ΔbuΔuRbu。ΔbfΔf。5b。5b。Rbu＜G5bB。4RC6。GRby＞GRbLS6A。RbLS=G。6Fig．6Resistancedemandsofstructureunderbeammechanism6C。9OBCDOFED。1～3RbNDΔbNDGΔ=12RbyΔby+12Rby+RbNDΔbND－Δby9RbyΔbyRbNDΔbNDΔbND6C。5ABβb=ΔbyΔbLS=RbyRbLS10910RbND=2GΔbND－βbRbLSΔbNDΔbND－Δby1146RbLS=GRbNDRbLSγbγb=RbNDRbLS=2－βb·μbμb－1125μb=ΔbND/Δby。ΔbNDΔbNDmaxμbmaxμbuμbu=ΔbNDmaxΔby=μbmax13γbminγbmin=2－βb·μbuμbu－114Rby＞G=RbLSβb＞1βb≥2。1＜βb＜20＜2－βb＜1。γbmin=μbuμbu－1155。4M1LSM2LSM1LS=－6E1I1ΔL2116aM2LS=－6E2I2ΔL2216b7、16M1LSM2LSRbLSM1LS=E1I1L1L32E1I1L32+E2I2L31RbLS17aM2LS=E2I2L31L2E1I1L32+E2I2L31RbLS17bM1ND、M2NDRbND17。17M1ND=E1I1L1L32E1I1L32+E2I2L31RbND18aM2ND=E2I2L31L2E1I1L32+E2I2L31RbND18bγbmγbγbm=M1NDM1LS=M2NDM2LS=RbNDRbLS=γb19γbmminγbminγbmmin=γbmin201515。15。62Pushdown68RC31γb。15γbminγb≥γbminγb＜γbmin。1。768γb1。μbuPushdownΔbpΔbyμbu=Δbp/Δby。7RC15γb。15。67Fig．7ValidationforPCresistancedemandofstructureunderbeammechanism7γbmin71DoD200515γbmin=2.0。DoD2005。。2GSA20034γbmin=1.0。。DoD20105DoD2005GSA2003γbmin=1.0DoD2010。3GSA20034γbmin=1.33。4DoD20105。。15RC15μbuμbuμbu。RC。1-28RC3～9141542。GB50010—2002《》RC3～4。μbu=415γbmin=1.33GSA20034。1.33RC。8RCRCRC。1。2RC。3RC。7、。。16～18。19-RbND/RbLS-M1ND/M1LSM2ND/M2LS。717～18-。15RC。1．J．201127512-18．LiYiLuXinzhengYeLiepingChenShicai．StudyontheprogressivecollapsemechanismofRCframestructuresJ．BuidingScience201127512-18．inChinese2．PushdownRCJ．201127110-18．LiYiLuXinzhengYeLiepingChenShicai．Studyonprogressivecollapse-resistingcapacityofRCframestructuresbasedonpushdownanalysisJ．JournalofShenyangJianzhuUniversityNaturalScience201127110-18．inChinese3．J．2007285104-109．YIWeijianHEQingfengXIAOYan．CollapseperformanceofRCframestructureJ．JournalofBuildingStructures2007285104-109．inChinese4GSA2003ProgressivecollapseanalysisanddesignguidelinesfornewfederalofficebuildingsandmajormodernizationprojectS．WashingtonDCUnitedStatesGeneralServicesAdministration2003．5DoD2010DesignofstructurestoresistprogressivecollapseS．WashingtonDCDepartmentofDefense2010．6PowellG．ProgressivecollapsecasestudiesusingnonlinearanalysisC//Metropolis＆BeyondProceedingofASCE/SEIStructuresConference．NewYorkASCE/SEI2005．7MarjanishviliSMAgnewE．ComparisonofvariousproceduresforprogressivecollapseanalysisJ．JournalofPerformanceofConstructedFacilitiesASCE2006204365-374．8RuthPMarchandSMWilliamsonEB．StaticequivalencyinprogressivecollapsealternatepathanalysisreducingconservatismwhileretainingstructuralintegrityJ．JournalofPerformanceofConstructedFacilitiesASCE2006204349-364．9Dusenber