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161Vol.16,No.120002BUILDINGSCIENCEFeb.2000[]1002-8528(2000)01-0001-06,,(,100013)[],,[];;[]TU973+.31;TU973+.2[]AResponseofTorsionalVibrationofTallBuildingStructuresInducedbySeismicActionXUPei2fu,HUANGJi2feng,WEIChen2gi(ChinaAcademyofBuildingResearch,Beijing100013,China)[Abstract]Inthispaperthecrossed2responseoftorsionalandtranslationalvibrationoftallbuildingstructuresunderseismicac2tionandtheapproximatecalculationaboutthecrossed2responsearestudied.Themainfactorseffectingondynamicenlargementoftheresponseoftorsionalvibrationareanalysedandsomesuggestionsonaseismicdesignconsideringtheresponseoftorsionalvibrationarepresented.[Keywords]tallbuildingstructures;responseoftorsionalvibration;aseismicdesign1,;,,,(),[]1999-10-16[](:59895410),,e0,,e0=(0105011)l,l;,,el110117e0,e=(110117)e1+(0105011)l,,,,,2211,(Tg);,212(1)1,XY,O,u0v00,,u0v00,X,Yv0,:K0=Kl00Kt(1)M0=ml00mt(2),KlKt;mlmt1:l=Klmlt=Ktmt(3)(2)()1,X,YeA,eA(u)T,:u00=1e01u(4)A:K=KleKleKlKt+e2Kl(5)A,mlmt,M=M0(6)213(1)(X):KleKleKlKt+e2Klu=ml00mtu(7):2-Kt+Kle2mt+Klml+KlmlKtmt=0(8)r=mtml,(8):2-l+t+er2l+lt=0(9):12=12l+t+er2ll+t+er2l2-4lt(10):1=(u1,1)T=(-el,l-1)T2=(u2,2)T=(-el,l-2)T(11)(2):MX+CX+KX=-MXg(12):X=(u,)T;C;Xg,:Xg=ax(t)0=10ax(t)=defBax(t)(13)(13),ax(t)X(12),:216X=[1,2]Y1Y2=defY(14):Y:M3iYi+C3iYi+K3iYi=-TiMBax(t)(i=1,2)(15):M3i=TiMi,C3i=TiCi,K3i=TiKi(15),,:(u1,1)T=111Sa(1,1)(u2,2)T=222Sa(2,2)(16),Sa(,);,1=2=0105;12,:1=T1MBT1M1=-ele22l+r2(l-1)22=T2MBT2M2=-ele22l+r2(l-2)2(17)(16):u1=f1er,tlSa(1,1)1u2=f2er,tlSa(2,2)21=g1er,tlSa(1,1)e12=g2er,tlSa(2,2)e2(18):f1=er2er2+1-1l2,f2=er2er2+1-2l2g1=er21l-1er2+1-1l2,g2=er22l-1er2+1-2l2(19)GBJ11-89[2]211,:Sa(1,1)=(Tg/T1)019maxgSa(2,2)=(Tg/T2)019maxg(20),g:12=0102121151+121-122+010112(21)CQC,,r/u:ru=r21+22+21212u21+u22+212u1u2=1e/rg21+12111g22+212g1g2120155f21+12111f22+212f1f2120155(22)(22)r/u,,r/u,e/r();t/l,Tt/Tlt/ltl=1(Tt/Tl)2(23),Tt;Tl,(22):ru=(e/r,Tt/Tl)(24)214r/u(22),,(22),TBSAP,45(),(22)TBSAP,2,TBSAP45(),TBSAP9CQC,Tt/Tl113,TBSAP;Tt/Tl113,,TBSAPr/u31:2TBSAP,Tt/Tl113,(22)3311e/r(22)r/u,:ru=Mt/KtrF/Kl=Fe/KtrF/Kl=KlerKt=mlmtKl/mlerKt/mt=1r2lter=erTtTl2(25),F;Mt;(1)(23)(22)(25),r/u,3,e/r011013015017,e/r011013(3a3b),(22)r/u(25),;e/r,r/u,e/r015(3c),(22)(25);e/r017(3d),(22)(25);Tt/Tl1113,(25)r/u(22),,(e/r017),,,312Tt/Tl3,TtTl,r/uTt/Tl015,r/u,e/r017,r/u012;Tt/Tl018,r/u3a,e/r011,Tt/Tl1103,r/u0155;3c,e/r015,Tt/Tl113,r/u1105,Tt/Tl,TtTl4(1),e0=011r,4163(22)(25),,,,Tt/Tl,110,,,,:,e0OO(4),,e0/r011,r,l,r,,r(l/2)4e0(2)GBJ11-89,CQC,;51:(e/r017),,(3),e/r,Tt/Tl,TtTl,,Tt/Tl,e/r,,5(22)r/uTt/TlTt/Tle/r,5r/uTt/TlTt/TlKtKlmtml:TtTl=2mtKt2mlKl=mtKlmlKt(26)KtXKlxYKlyKti(6):Kt=(KxiY2i+KyiX2i+Kti)(27)Klx=KxiKly=Kyi(28)(26)(27)(28),,KtKl,Tt/Tl,;(),,mtml,Tt/Tl6(4)r/u015,,,,r/u015,,,r/uP,;,r/u,5,,Tt/Tl:r/u015,e/r012,Tt/Tl0188[][1]GBJ11-89,[S].[2].[M].:,1991.616