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:2003-08-20;:2003-10-20:(50025821);:(1974-),,,.:100021301(2004)0120030209,(,200092)::Pushover,;,,:,:;;;Pushover:P315.95:AApplicationofductilitydemandspectrainperformance2basedseismicdesignZHOUDing2song,LUXi2lin(StateKeyLaboratoryforDisasterReductioninCivilEngineering,TongjiUniversity,Shanghai200092,China)Abstract:Performance2basedseismicdesigninvolveshowtocalculateinelasticdisplacementdemandofstructuresunderspecifiedintensityearthquakeinconciseandreasonableway.Inthispaper,thebasicsolvingprocessofstructuralinelas2ticdisplacementdemandadoptingductilitydemandspectraisputforward.Firstly,theMDOFsystemisdecomposedintoseveralinelasticSDOFsystemsusingmodalpushoveranalysis,andthehighermodeeffectcanbeconsideredbythismeans.Secondly,theductilityanddisplacementdemandofequivalentSDOFsystemcanbesolvedbyutilizingductilitydemandspectra,andcombinedcorrespondencemodaldisplacementcanreverttothedisplacementdemandofMDOFsys2tem.Withtheanalysisofexamples,itisshownthattheproceduretogetinelasticdisplacementdemandofstructuresem2ployingductilitydemandspectramaybeusedinengineeringasasimpleandeffectivemethod.Thismethodhasapplica2tionpotentialinperformance2basedseismicdesign.Keywords:ductilitydemandspectra;performance2basedseismicdesign;inelasticdisplacementdemand;modalpushoveranalysis.1[1]:(Demand),;(Capacity),24120042EARTHQUAKEENGINEERINGANDENGINEERINGVIBRATIONVol.24,No.1Feb.2004[2],,,,,,,,,,2Pushover(Pushover),Pushover[3]:(1),:(2),,,Pushover,,,,,,,,,,Pushover,,Eberhard(1993)[4];Fajar(1997)[5];GuptaKunnath(2000)[6],,,,,ChopraGeol(2002)[7]Pushover,,Pushover,,,:(1);(2)(SRSS),,,Pushover,Pushover[7]:(1)n:Tnn,1(2)n,-Pushover,,(3)Pushover,VbyuryFEMA273[8],1(c),:1)B,S0;131:2)Vby,0.6VbyC,OCVbyA;3)OABS,(S-S0)/S0,A(uy,Vby),Vby,2)3),(S-S0)/S01PushoverPushover1,Pushover,,,3Pushover,SDOF(),[9],:mu+cÛu+fs=-mlug(t)(1),m;c;u;fs,,fs=fs(u);l;ug(t)MDOF:u(t)=N1qn(t)n(2)(2)(1)nT,Dn=qn/n,:Dn+2nnDn+(Fsn/Ln)=-ug(t)(3)Fsn=nTfs;n,n=Ln/Mn,Ln=nTml,Mn=nTmnPushover(1),3,3n-(Fsn/Ln)-Dn,nPushovern-Vbn-urn(Fsn/Ln)-Dn,ifsi=miimiiVbn,Fsn=Tnfs=Vbnn,:2324Fsny/Ln=Vbny/nLn(4)Dny=urny/nrn(rn)(5)Fsny/Ln=2nDny,Tn=2LnDny/Fsny(6),,,,,,,,60%,Pushover,4Pushover,SD2OF,;,,,,:=-cy-1c+1(7)c=TaTa+1+bT,ab,([10]),2,:2(1)TnFne(2)yn=(Fsny/Ln)/Fne,yn1331:(3)ab,(7)(4)Dn=Dny;,Dn=T242Sa(5),,:1)Dn,,urn=nrnDn,,2),23,(SRSS):r=r2n,rnn,r5,,,1:834Pushover3,8,8,2,3.9m,3.0m,14600600,58500500,300650,100mm,C30,2kN/m24,,1.0s0.33s8118/m/kN1IDA(1)2IDA(2)831003.412.17%115.20%73917.60.9353.60%0.54420.70%63917.60.8274.60%-0.07718.17%53917.60.6895.10%-0.6229.73%43950.60.5364.70%-0.914-0.13%33950.60.3954.70%-0.91-6.97%23950.60.2544.50%-0.701-11.33%13.9966.80.1193.05%-0.361-9.26%:IDA,Pushover,-4Pushover,V1y/Wt=0.166,u1y/H=0.543%;V2y/Wt=0.178,u2y/H=0.182%243242Vny/kNuny/mmMnÞ(kNg-1)LnÞ(kNg-1)nFny/Ln/gDny/mmTn/s112571353365.244931.3350.211011.392134845.33809.81888.10.4961.44910.50:g,Pushover,[12],82T1T2:F1e=TgT12maxg=0.547g,F2e=2maxg=0.9g:1,y1=0.21g/0.547g=0.384;2[10],2a=1.2508,b=0.45671:c=TaTa+1+bT=0.93,=-cy1-1c+1=2.54,D1=D1y=2.54101=257mm2:D2=T242Sa=56mm,12u1u2:u1=1r1D1=343mm,u2=2r2D2=27.7mm,12,3,,381/mm2/mm/mm8343283440.0080.0097321153210.0120.0146284-22840.0160.0175236-172370.0170.0184184-251860.0160.0163135-251380.0160.016287-19890.0160.016141-10420.0110.011,8222,0.4g,5BuffaloIDARC2D5.5(Reinhorn,2002),Park,[13],6,,,(6),1.27(6(a));5,,1.06(6(b)),Pushover,531:56,:78T1T2,,,,22,1(1),2uruhur/uh,7ur/uh,:ur/uh0.8451.667,1.26,0.211,,,21616,8,2,8,4.2m,3.3m,14800800,58700700,916600600,300650,100mm,C30,2kN/m24Pushover9,,V1y/Wt=0.146,u1y/H=0.647%;V2y/Wt=0.151,u2y/H=0.24%463244Vny/kNuny/mmMn/(kNg)Ln/(kNg-1)nFny/Ln/gDny/mmTn/s118533486601.99007.61.3460.1512532.6219151306229.73483.40.5590.9832330.98,82T1T2:F1e=TgT12maxg=0.311g,F2e=2maxg=0.75g,1,y1=0.151g/0.311g=0.486;2=-cy-1c+1=2.03;D1=D1y=514mm;u1=1r1D1=692mmD2=T242Sa=179mm;u2=2r2D2=100mm12,1(8,3),,,101010:1.18(10(a));11,1.02,12,(10(b))16ur,,:,1731:1116;,;,12;1,28,16,,PushoverMDOFSDOF,SDOF,(),Pushoveruruh(11):ur/uh0.461.58,1.06,0.29,,6,:Pushover,;Pushover;,,,,:Pushover,;,,,:[1]SEAOCVision2000.Performance-basedseismicengineering[R].ReportpreparedbyStructuralEngineersAssociationofCalifornia,Sacramento,CA,1995.[2].[D].,2000.[3],,.[J].,2000,21(1),44-51.[4]EberhardMO,SozenMA.Behavior-basedmethodtodeterminedesignshearinearthquake-resistantwalls[J].JournalofStructuralEngineering,AS2CE1993,119(2):619-640.[5]Kilar,V.,andFajfar,P.(1997).Simplepush-overanalysisofasymmetricbuildings[J],Earthq.Engrg.Struc.Dyn.,26(2):233-249.[6]Gupta,B.,andKunnath,S.K.(2000).Adaptivespectra-basedpushoverprocedureforseismicevaluationofstructures[J].Earthq.Spectra,16(2):367-392.[7]Chopra,A.K.,andGoel,R.K.(2002).Amodalpushoveranalysisprocedureforestimatingseismicdemandsforbuildings[J].Earthq.Engrg.Struc.Dyn.,31(3):561-582.[8]BuildingSeismicSafetyCouncil(1997).NEHRPGuidelinesfortheSeismicRehabilitationofBuildings[S].FEMA-273,FederalEmergencyManage2mentAgency,Washington,D.C.[9]Chopra,A.K.(2001).DynamicsofStructures:TheoryandApplicationstoEarthquakeEngineering[M].2ndEdition,NewJersey:PrenticeHall.[10],..,2