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基于子结构分析方法,提出了土-结构相互作用体系中数值解和解析解耦合的地震反应分析方法。此方法中,数值解是用有限元方法来模拟上部结构的非线性动力行为;而弹性结构-刚性基础-半无限大弹性地基中频域内的解析解,是通过离散时间递归滤波方法得到时域内的解来等效,且在整个体系中,利用土、结构两个子结构边界上的力和位移协调求解。本文提出的方法用有限元程序Opensees来实现,并用于一个线弹性单层框架结构的动力分析中。这种耦合的分析方法得到的结果,与土-结构相互作用单自由度体系的解析解进行了比较,验证此方法的精度、稳定性和工程实用性。
Based on the substructure analysis method, the seismic response analysis method of numerical solution and analytic decoupling in soil-structure interaction system is proposed. In this method, the numerical solution is to simulate the nonlinear dynamic behavior of the superstructure by using the finite element method. The analytical solution of the elastic structure in the mid-frequency domain of the semi-infinite elastic foundation is based on the discrete-time recursive filtering method Which is equivalent to the solution. In the whole system, the solution of the forces and displacements on the boundary between the two substructures of soil and structure is solved. The proposed method is implemented using the finite element program Opensees and is used in the dynamic analysis of a linear elastic single-story frame structure. The results of this coupling method are compared with the analytical solutions of soil-structure interaction single-degree-of-freedom system, and the accuracy, stability and engineering practicability of this method are verified.