基础隔震结构随机地震响应分析的复模态法  

Complex modal methods for analysis of random earthquake response of structures with base isolation

作　　者：李创第[1] 黄天立[1] 李暾[1] 邹万杰[1] 林志兴[2] 

机构地区：[1]广西工学院土木系,广西柳州545006 [2]同济大学防灾国家重点实验室,上海200092

出　　处：《地震工程与工程振动》2002年第6期122-128,共7页Earthquake Engineering and Engineering Dynamics

基　　金：广西青年科学基金 (0 0 0 70 0 9);同济大学土木工程防灾国家重点实验室访问学者基金联合资助 (教技司 2 0 0 0 ([12 3 ] )号 )

摘　　要：本文对多自由度基础隔震结构的随机地震响应问题进行了系统研究 ,首先建立了运动方程 ,然后用第一振型将上部结构展开 ,针对所得方程为非经典阻尼、非对称质量和非对称刚度情况 ,用复模态法解耦 ,获得了以第一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 ,从而建立了两自由度体系在任意非经典阻尼与非对称质量和刚度情况下随机地震响应解析解分析的一般方法。本文方法也可用于带TMD减震结构、无损伤“加层减震”In this paper, the random earthquake response of structures with base isolation and multi-degree of freedom is studied systematically. The dynamic equations are firstly established, then, the upper structure is unfolded through the first mode. According to the situation that the damping is the non-classical damping and the structure is non-symmetry, the complex model method is used to disconnect the equations, and the precise solution of earthquake response, which expressed by first mode is obtained. The solution is the exact result of the structure response to single degree of freedom system. The method of this paper can be used to the random response analysis and the optimization design of the add-layer structure and the structure with TMD.

关 键 词：基础隔震结构 复模态法 随机地震响应 减震效果 TMD减震结构 

分 类 号：TU352.11[建筑科学—结构工程]