多自由度“加层”结构地震作用取值的复模态法
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摘要
对多自由度TMD和"加层"减震结构地震响应及地震作用取值问题进行了系统研究.首先用复模态法将非经典阻尼非对称结构运动方程解耦,然后运用随机振动理论获得结构动力响应解析式,并建立将结构分解为一系列等效单自由度体系的一般方法,继而利用等效单自由度体系与反应谱的对应关系,确定结构动力响应表达式中各参数的取值,建立结构基于反应谱的设计响应及其等效静态地震作用的设计方法,并给出了算例,从而建立了非经典阻尼非对称结构基于反应谱的地震作用取值的一整套方法.
Earthquake response and action of MDOF structure with TMD and the add-layer were studied systematically on the basis of design response spectrum.The complex model method was used to disconnect the dynamic equations with non-classical damping and non-symmetrical structural features.The analytical solution of earthquake response was obtained by random vibration method,and the universal method to disassemble the structure into a series of equivalent SDOF systems was established.By using the design response spectrum of equivalent SDOF systems,the design earthquake response and action of structure were obtained,and an example was given.Thus a complete set of methods for the calculation of earthquake action of the non-classical damping and non-symmetry structure on the basis of response spectrum design were established.
Earthquake response and action of MDOF structure with TMD and the add-layer were studied systematically on the basis of design response spectrum.The complex model method was used to disconnect the dynamic equations with non-classical damping and non-symmetrical structural features.The analytical solution of earthquake response was obtained by random vibration method,and the universal method to disassemble the structure into a series of equivalent SDOF systems was established.By using the design response spectrum of equivalent SDOF systems,the design earthquake response and action of structure were obtained,and an example was given.Thus a complete set of methods for the calculation of earthquake action of the non-classical damping and non-symmetry structure on the basis of response spectrum design were established.
引文
[1]周福霖.工程结构减震控制[M].北京:地震出版社,1997.
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[6]李创第,黄天立.TMD控制优化设计及振动台试验研究[J].土木工程学报,2006,39(7):19-25.
[7]陈俊忠.基础隔震和加层减震结构地震响应分析与地震作用取值[D].南宁:广西大学,2004.
[8]欧进萍,刘会仪.基于随机地震动模型的结构随机地震反应谱及其应用[J].地震工程与工程振动,1994,14(1):14-22.
[9]LIN Y Y,CHANG K C.Study on damping reduction factorfor build ings under earthquake ground motions[J].Journalof Structural Engineering,2003,129(2):206-214.
[10]贺辉.被动抗震控制结构随机响应分析、地震作用取值和优化设计的复模态法[D].南宁:广西大学,2007.
[2]周锡元.非正交阻尼线性系统的复振型地震响应叠加分析方法[J].土木工程学报,2003,36(5):30-36.
[3]刘季.非正交阻尼体系地震反应的非经典反应谱方法[J].地震工程与工程振动,1995,15(2):7-14.
[4]崔峰.基于反应谱理论的复模态抗震设计方法[J].地震工程与工程振动,2002,22(3):32-36.
[5]李创第,黄天立.带TMD结构随机地震响应分析的复模态法[J].振动与冲击,2003,22(1):36-39.
[6]李创第,黄天立.TMD控制优化设计及振动台试验研究[J].土木工程学报,2006,39(7):19-25.
[7]陈俊忠.基础隔震和加层减震结构地震响应分析与地震作用取值[D].南宁:广西大学,2004.
[8]欧进萍,刘会仪.基于随机地震动模型的结构随机地震反应谱及其应用[J].地震工程与工程振动,1994,14(1):14-22.
[9]LIN Y Y,CHANG K C.Study on damping reduction factorfor build ings under earthquake ground motions[J].Journalof Structural Engineering,2003,129(2):206-214.
[10]贺辉.被动抗震控制结构随机响应分析、地震作用取值和优化设计的复模态法[D].南宁:广西大学,2007.
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