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基础平动与转动结构随机地震响应分析的复模态法
引用本文:李创第,黄东梅,李暾,陈俊忠.基础平动与转动结构随机地震响应分析的复模态法[J].地震工程与工程振动,2005,25(1):26-32.
作者姓名:李创第  黄东梅  李暾  陈俊忠
作者单位:1. 广西工学院,土木建筑工程系,广西,柳州,545006
2. 广西大学,土木学院,广西,南宁,530004
基金项目:广西青年科学基金项目(0007009),教育部国家重点实验室访问学者基金项目[教技司 2000(123)号],广西工学院博士基金项目
摘    要:本文对基础平动与转动结构随机地震响应问题进行了系统研究。首先建立了结构运动方程,然后针对体系运动方程为非经典阻尼的情况.用复模态法解耦获得了体系位移、速度和加速度随机地震响应的解析解,最后通过一个例子来说明考虑结构一地基相互作用的必要性。本文方法可推广到非平稳地震响应分析。

关 键 词:复模态  随机地震响应  结构与土相互作用
文章编号:1000-1301(2005)01-0026-07

The complex modal methods for analysis of random earthquake response of structures with horizontally translational and rotational base
Li Chuangdi,Huang Dongmei,Li Tun.The complex modal methods for analysis of random earthquake response of structures with horizontally translational and rotational base[J].Earthquake Engineering and Engineering Vibration,2005,25(1):26-32.
Authors:Li Chuangdi  Huang Dongmei  Li Tun
Institution:Li Chuangdi~1,Huang Dongmei~1,Li Tun~
Abstract:The random earthquake responses of structures with horizontally translational and rotational bases were studied systematically. The dynamic equations were established firstly. Then, according to the situation of the non-classical damping, the complex mode theory was used to decouple the equations, and the exact solutions of displacement, velocity and acceleration responses were got. The example shows that the deviations of displacement, velocity and acceleration of structure are increased 36.29%, 113.63%, 8.22%,respectively than the immovable base when considering translational and rotational base. So considering the effect of horizontally translational and rotational base for the structure-soil interaction is necessary. The method presented can be used to non-stationary random earthquake response analysis.
Keywords:Complex mode  random earthquake response  structure-soil interaction
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