非白噪声激励的非线性系统非平稳响应的一种计算方法  

A Calculating Method for Non-Stationary Response of Non-Linear Systems Subjected to Non-White Excitation

作　　者：张明[1] 

机构地区：[1]西南交通大学工程力学系

出　　处：《振动工程学报》1994年第3期223-229,共7页Journal of Vibration Engineering

基　　金：四川省基础研究专项基金

摘　　要：本文给出了一种计算非线性系统在非白噪声激励下非平稳响应的方法。该方法采用统计线性化和数学归纳法，获得了位移、速度的均方和协方的递推关系。考虑了等效线性化系数的时变性；给出了两个算例，并将计算结果与相应的数字模拟结果［８］进行了比较。结果证明该方法是简单、精确和有效的。In this paper a method is developed to calculate the non-stationary response of non-linear systems subjected to non-white noise excitation.Statistical linearization and mathematical inductive methods are used to obtain a recursive relation for evaluating the variance and covariance of displacement and velocity.The time-dependent equivalent linear system is considered. Two examples are presented and computed results are compared with the corresponding digital simulation results[8].The method is shown to be simple,accurate and effective.

关 键 词：非线性 非平稳 非白噪声 随机响应 

分 类 号：O322[理学—一般力学与力学基础]