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  

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

作　　者：李雪平[1] 王坤[1] 魏鹏[1] 苏成[1] Li Xueping Wang Kun Wei Peng Su Cheng(State Key Laboratory of Subtropical Building Science, School of Civil Engineering and Transportation, South China University of Technology, Gnangzhou 510000, China)

机构地区：[1]华南理工大学土木与交通学院,亚热带建筑科学国家重点实验室,广州510000

出　　处：《动力学与控制学报》2017年第3期262-267,共6页Journal of Dynamics and Control

基　　金：国家自然科学基金资助项目(11002056);中央高校基本科研业务费项目(2014ZZ0071)~~

摘　　要：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.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.

关 键 词：非线性系统 非平稳 随机 等效线性化 显式迭代算法 

分 类 号：TU311.3[建筑科学—结构工程]