基础平动结构随机地震响应的解析解

The analytical solution to the random earthqugke response of structures with horizontally movable base

对单自由度基础平动结构随机地震响应问题进行了系统研究。针对结构运动方程为非经典阻尼、非对称质量和非对称刚度的情况,用复模态法解耦,获得了结构地震响应的解析解。该方法可推广到非平稳随机地震响应分析,也可用于基础隔震、带TMD减震和加层减震等结构的随机地震响应分析与优化设计。

In this paper, the random earthquake response of structures with horizontally movable base and single degrees of freedom is studied systematically. According to the situation that the motional equation of the structure is a non-classical damping,and the mass and rigidity are non-symmetic,the analytical solution to the earthquake response of the structure is got by using the complex model method to solve the coupling.The method may be used to analyse the nonstationary random earthquake response and to analyse the random earthquake response of the struetures with isolation base,TMD shake-reducing and layer-adding.The method may also be used in optimization design.