地基土—多自由度非线性结构相互作用体系的非平稳随机动力响应分析

Analysis of Nonstationary Stochastic Responses of Soil—Nonlinear MDOF Structure Interaction System

本文应用一个改进的等效线性化方法探讨了地基土——多自由度非线性结构相互作用体系在随机地震荷载作用下的非平稳动力响应问题。对非线性恢复力模型采用一个具有三线性滞回特性的非线性系统。最后将在平稳Gauss过滤白噪声激励下的非平稳随机响应与Monte-carlo法的统计结果进行了比较,得出了较为满意的结果。

An amended equivalent linearzation approach is proposed to study the nonstationary responses of Soil—Nonlinear MDOF superstructure under a stochastic earthquake excitation, and a nonlinear model of restoring force with hysteretic loop is adopted. As an example, the nonstationary responses of structures under stationary Gaussian filtered white noise excitation are analysed. Campared with the statistical results calculated by Monte—Carlo simulation, the conclusion in this paper is comparatively satisfactory.