非线性滞迟系统的随机振动分析

THE STUDY OF THE RANDOM VIBRATION OF THE NONLINEAR HYSTERETIC SYSTEM

本文采用非线性滞后函数模型,对于粘弹性系统的随机振动问题,应用等效线性化和方差分析的方法进行了分析研究,给出了白噪声激励下的响应计算解。

This paper presents the application of the technique of equivalent linearization and the method of variance analysis to analyse the random vibration of a viscoelastic system,basing on modeling the behavior of hyteretic restoring force by a nonlinear differential equation. The paper gives the random response solution of the system under white noise excitation.