结构-土相互作用体系的地震作用取值——基于规范地震动模型的复模态时域法

对多自由度结构-土相互作用体系基于规范地震动模型的复模态时域法的地震响应问题进行了系统研究。首先建立了结构运动方程，针对所得运动方程为非对称质量与非经典阻尼矩阵的情况，用复模态法解耦，然后采用与新抗震规范地震动参数一致的Clough-Penzien非平稳随机地震动模型进行随机地震响应分析，获得了体系相对位移方差的时域解。从而可得等效平稳化方差及其峰值，由此便可以得到结构的地震作用取值。晟后，通过一个例子来说明结构-土相互作用体系的地震响应和地震作用取值的计算方法，同时给出了由规范的反应谱法得到的基础固定结构的各质点位移和地震作用取值。

Earthquake action calculation of structure-soil interaction system——according to complex mode method in time domain based on the earthquake model about seismic code

In this paper the earthquake action calculation of MDOF structure-soil interaction system is studied systematically. The dynamic equations are firstly established. Since the mass matrix is non-symmetric and the damping matrix is non-classical, the complex mode theory is used to decouple the equations. And then based on the Clough-Penzien unsteady random seismic model, in time domain the relative displacement response variance is got via complex mode method, consequently, the equivalent steady displacement variance, its maximum and finally the earthquake action are obtained. In addition, an example is given to show the feasibility of this method, meanwhile through response spectrum method the displacement and the earthquake action of base fixed structures is obtained.