考虑扭转耦联效应的附属结构最优位置分析
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摘要
实际建筑物大多为偏心结构,扭转耦联效应使同层楼板上不同位置处附属结构的动力响应也不相同,通常存在一个平面最优位置。本文建立了主附结构体系的扭转耦联模型,利用复模态理论和模式搜索方法研究了影响附属结构最优位置的几个重要因素,包括地震输入方向、场地类别、主体结构偏心、附属结构质量、频率及阻尼比等,通过数值分析得出了一些有益的结论。
A majority of actual structures are eccentric structures,so the lateral-torsional coupling of primary-secondary systems,which has significant influence on secondary system's response under earthquake loading,is needed to be considered.Considering torsion movement,the secondary system's responses on different positions of the same floor are also different,and an optimal position for minimal response exists.In this paper a model of primary-secondary systems concerning lateral-torsion coupling and interaction between primary and secondary systems is established and studied from the point of random vibration,by using complex mode theory and pattern research method for secondary system's optimal position,furthermore,the influencing factors of optimal position are also analyzed,such as direction of earthquake input,site of different classification,eccentricity of primary system,the mass,frequency,and damping ratio of secondary system etc.At the end of this paper some useful conclusions were provided by numerical work,from which we can see lateral-torsional coupling due to the eccentricity of structures and the interaction between primary and secondary systems have important effect on the secondary system's response,and due to the interaction optimal position is not only located at corner of the plane any more.
A majority of actual structures are eccentric structures,so the lateral-torsional coupling of primary-secondary systems,which has significant influence on secondary system's response under earthquake loading,is needed to be considered.Considering torsion movement,the secondary system's responses on different positions of the same floor are also different,and an optimal position for minimal response exists.In this paper a model of primary-secondary systems concerning lateral-torsion coupling and interaction between primary and secondary systems is established and studied from the point of random vibration,by using complex mode theory and pattern research method for secondary system's optimal position,furthermore,the influencing factors of optimal position are also analyzed,such as direction of earthquake input,site of different classification,eccentricity of primary system,the mass,frequency,and damping ratio of secondary system etc.At the end of this paper some useful conclusions were provided by numerical work,from which we can see lateral-torsional coupling due to the eccentricity of structures and the interaction between primary and secondary systems have important effect on the secondary system's response,and due to the interaction optimal position is not only located at corner of the plane any more.
引文
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[13]CLOUGH R W,PENZIEN.Dynamics of Structures[M].New York,McGraw-Hill,Inc,1993.
[14]曹资,薛素铎.空间结构抗震理论与设计[M].北京:科学出版社,2005.(CAO Zi,XUE Su-duo.Spa-tial Structures Seismic Theory and Design[M].Bei-jing:Science Press,2005.(in Chinese))
[2]赵晓,李杰.结构-设备体系空间动力学模型建模[J].郑州工学院学报,1995,16(4):30-37.(ZHAOXiao,LI Jie.Modeling of the space structure-equip-ment dynamic system[J].Journal of Zhengzhou in-stitute of Technology,1995,16(4):30-37.(in Chi-nese))
[3]YANG Y B,HUANG W.Seismic response of lightequipment in torsional buildings[J].Earthquake En-gineering and Structural Dynamics,1993,22(2).
[4]YANG Y B,HUANG W H.Equipment-structureinteraction considering the effect of torsion and baseisolation[J].Earthquake Engineering and Structur-al Dynamics,1998,27(1):155-171.
[5]AGRAWH A K.Non-linear response of light equip-ment system in a torsional building to bi-directionalground excitation[J].Shock and Vibration,1999,6:223-235.
[6]AGRAWH A K,DATTA T K.Behavior of multiplesupported secondary system mounted on a torsionalcoupled primary system[J].International Journalof Soil Dynamics and Earthquake Engineering,2001,3(1):13-22.
[7]AHLAWAT A S,RAMASWAMY A.Multiobjec-tive optimal absorber system for torsional coupledseismically excited structures[J].Engineering Struc-tures,2003,25:941-950.
[8]李创第,李暾,黄天立,等.高层建筑TMD风振控制分析的复模态法[J].振动与冲击,2003,22(2):1-4.(LI Chuang-di,LI Tun,HUANG Tian-li,at al.Complex mode theory used for random wind-inducedresponse[J].Journal Vibration and Shock,2003,22(2):1-4.(in Chinese))
[9]李创第,丁晓华,陈俊忠,等.基础隔震结构基于Clough-Penzien谱随机地震响应分析的复模态法[J].振动与冲击,2006,25(5):162-165.(LI Chuang-di,DING Xiao-hua,CHEN Jun-zhong,et al.Com-plex model method for analysis of random earthquakeresponse of structures with base isolation on the basisClough-Penzien spectrum[J].Journal Vibration andShock,2006,25(5):162-165.(in Chinese))
[10]李忠献,何玉敖.非经典阻尼结构动力分析模态综合法综述[J].工程力学,1992,9(1):51-59.(LI Zhong-xian,HE Yu-ao.A summary of modal superpositionmethods of dynamic analysis for nonclassicallydamped structures[J].Engineering Mechanics,1992,9(1):51-59.(in Chinese))
[11]傅志方,华宏星.模态分析理论与应用[M].上海:上海交通大学出版社,2000.(FU Zhi-fang,HUAHong-xing.Modal Analysis Theory and Applica-tion[M].Shanghai:Shanghai Jiaotong UniversityPress,2000.(in Chinese))
[12]楼梦麟,范么清.求解非比例阻尼体系复模态的实模摄动法[J].力学学报,2007,39(1):112-118.(LOUMeng-lin,FAN Yao-qing.Modal perturbation meth-od for obtaining complex modal characteristics of non-proportional damping systems[J].Chinese Journalof Theoretical and Applied Mechanics,2007,39(1):112-118.(in Chinese))
[13]CLOUGH R W,PENZIEN.Dynamics of Structures[M].New York,McGraw-Hill,Inc,1993.
[14]曹资,薛素铎.空间结构抗震理论与设计[M].北京:科学出版社,2005.(CAO Zi,XUE Su-duo.Spa-tial Structures Seismic Theory and Design[M].Bei-jing:Science Press,2005.(in Chinese))
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