一种基于等效线性化的非平稳随机动力响应分析的显式迭代算法

提出了一种基于等效线性化法的非平稳随机动力响应分析的显式迭代算法.首先根据等效线性化法把非线性系统转化为离散的线性系统,然后应用Newmark-β积分方法,推导出各个离散时刻的时域显式迭代公式,进而可以快速得到非线性系统的随机动力响应,最后用一个非线性的范德波尔系统和一个杜芬系统受非平稳随机荷载的算例验证了该算法的计算精度和计算效率.

Explicit iteration algorithm for non stationary dynamics response analysis of explicit iteration algorithm of non stationary stochastic dynamic response analysis based on equivalent stochastic linearization

An efficiency explicit iteration algorithm for non-linear systems subject to non-stationary stochastic seismic excitation is proposed based on the equivalent linearization.Firstly, the nonlinear systems are transformed into the discrete linear systems using equivalent linearization method.And the explicit time-domain iteration algorithm is then deduced based on the Newmark-βintegration method.The proposed algorithm is finally applied to a MDOF Vander-Pol system and a MDOF Duffing system under random non-stationary process.The results verify the high accuracy and efficiency of the proposed explicit iteration procedure.