复杂三维框支-剪力墙结构动力特性与地震反应谱分析
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摘要
为避免抗震设计规范中定性条文的不确定性限制而影响对复杂型式高层结构整体抗震性能的合理评价,建立大规模三维有限元数值模型,针对典型工程结构采用Lanczos法提取考虑阻尼和静力初始状态影响的结构自然频率与振型,并在此基础上进行双向水平地震力下考虑扭转效应的振型分解反应谱分析.计算结果表明:扭转振型的阶次较低,扭转周期与平动周期接近,扭转周期比满足规范限值要求;结构两个主轴方向的侧移刚度差异显著,结构沿高度存在多处刚度转换层,层间位移角发生多处突变;线性层间位移角幅值满足规范限值要求,但结构局部层间位移转角过大,在设计中应予以考虑.
The limitation of the qualitative items of code for seismic design of buildings may have influence on evaluating seismic behavior of high-rise buildings reasonably.A three-dimensional finite element model was established,and Lanczos mode extraction method was used by considering the effects of initial static state and damping on natural frequencies and modes,and then the response spectrum analysis under bidirectional horizontal excitations was conducted.The results show that the order of torsional mode is relatively low and the torsion periodic time is close to the translational one,and the ratio of torsional period is within the allowed domain.Furthermore,the difference between two translational stiffness in two horizontal directions is obvious,and there are visible extreme points for the height variation of drift angels.Though they are satisfied with the allowable value of drift angles of earthquake resistant structure,the counterpart angels of rotation in local area of structure are excessive,which should be emphasized in engineering design.
The limitation of the qualitative items of code for seismic design of buildings may have influence on evaluating seismic behavior of high-rise buildings reasonably.A three-dimensional finite element model was established,and Lanczos mode extraction method was used by considering the effects of initial static state and damping on natural frequencies and modes,and then the response spectrum analysis under bidirectional horizontal excitations was conducted.The results show that the order of torsional mode is relatively low and the torsion periodic time is close to the translational one,and the ratio of torsional period is within the allowed domain.Furthermore,the difference between two translational stiffness in two horizontal directions is obvious,and there are visible extreme points for the height variation of drift angels.Though they are satisfied with the allowable value of drift angles of earthquake resistant structure,the counterpart angels of rotation in local area of structure are excessive,which should be emphasized in engineering design.
引文
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[2]BISCH P,COIN A.Seismic behavior of slightly reinforcedconcrete walls:experiments and theoretical conclusions[J].Bulletin of Earthquake Engineering,2007,5(1):45-65.
[3]LEE D G,CHOI W H,CHEONG M C,et al.Evaluationof seismic performance of multistory building structuresbased on the equivalent responses[J].Engineering Struc-tures,2006,28(6):837-856.
[4]高层建筑结构混凝土结构技术规程(JGJ 3-2002)[S].北京:中国建筑工业出版社,2001.Technical Specification for Concrete Structures of Tall Build-ing(JGJ 3-2002)[S].Beijing:China Building IndustryPress,2002.(in Chinese)
[5]建筑抗震设计规范(GB 50010-2001)[S].北京:中国建筑工业出版社,2002.Code for Seismic Design of Buildings(GB 50010-2001)[S].Beijing:China Building Industry Press,2002.(in Chinese)
[6]KO D W,LEE H S.Shaking table tests on a high-rise RCbuilding model having torsional eccentricity in soft lower sto-reys[J].Earthquake Engineering and Structural Dynamics,2006,35:1425-1451.
[7]HIBBITT,KARLSSON,SORENSEN,Inc.ABAQUSTheory Manual[M].Pawtucket,USA:Hibbitt,Karlsson&Sorensen,Inc,2006.
[8]孙逊,倪振华,谢壮宁.用Lanczos算法进行周期结构固有特性分析的研究[J].力学季刊,2006,27(4):606-614.SUN Xun,NI Zhen-hua,XIE Zhuang-ning.Wind inducedresponses determination of dome like roof using Lanczos vec-tors direct superposion[J].Chinese Quarterly of Mechanics,2006,27(4):606-614.(in Chinese)
[9]张昊.考虑扭转耦联的大底盘非对称多塔楼建筑振动分析的振型数选取[J].建筑结构,2003,33(5):31-34.ZHANG Hao.Mode number selection for vibration analysisof an unmirrored multi-tower building with enlarged base[J].Building Structure,2003,33(5):31-34.(in Chinese)
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