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结构随机地震响应分析的复模态法
引用本文:李创第,邹万杰,李暾,陈俊忠.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,2003,23(6):44-49.
作者姓名:李创第  邹万杰  李暾  陈俊忠
作者单位:广西工学院,土木建筑工程系,广西,柳州,545006
基金项目:广西青年科学基金(0007009),教育部国家重点实验室访问学者基金[教技司2000(123号)],广西工学院博士基金联合资助
摘    要:本文对多自由度基础平动结构随机地震响应问题进行了系统研究。针对用第1振型近似代表上部结构所得方程为非经典阻尼和非对称结构情况。用复模态法解耦。获得了以第1振型表示的结构地震响应的解析解。对单自由度体系。此解即为结构响应的精确解。本文方法也可用于带TMD减震结构等的随机地震响应分析与优化设计。

关 键 词:结构地震响应  复模态  运动方程  优化设计
文章编号:1000-1301(2003)06-0044-06

Complex mode method for random earthquake response analysis of structures
LI Chuang-di,ZOU Wan-jie,LI Tun,CHEN Jun-zhong.Complex mode method for random earthquake response analysis of structures[J].Earthquake Engineering and Engineering Vibration,2003,23(6):44-49.
Authors:LI Chuang-di  ZOU Wan-jie  LI Tun  CHEN Jun-zhong
Abstract:In this paper, the random earthquake response of structure with multi-degree-of-freedom is studied systematically. The dynamic equations are established firstly, then the upper structure is simplified with the first mode. According to the situation that the damping is non-classical and the structure is non-symmetric, the complex mode theory is used to decouple the equations, and the exact solution of earthquake response, which is expressed by first mode is obtained. The solution is the exact result of the structure corresponding to single-degree-of-freedom system. The method in this paper can be used to the random response (analysis) and the optimization design of the structure with TMD.
Keywords:complex model  random earthquake response  structure-soil interaction
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