摘要
提出了一种推广了的等效线性化方法。该方法可以用于计算受白噪声激励的非线性系统的随机响应，其实质是用线性系统的随机微分方程替代原非线性系统的随机微分方程，以使两系统的矩方程在四阶矩上具有最小的误差。所给的几个算例表明，该方法获得的均方响应较常规的等效线性化方法更接近于数字模拟结果，是一种有效的计算方法，而且不难用于多自由度系统。
The method of equivalent linearization is generalized such that the response of a nonlinear oscillator subject to external random whitenoise excitations can be determined approximately.The objective of the new linearization scheme is to replace the original nonlinear equations with the linearization equations such that the errors of the approximate differential equations for the forth moments are minimal. Examples are presented and the results are compared with those from Gaussian closure.The mean square responses obtained by the proposed method are closer to the digital simulation solutions than those by Gaussian closure. This method is applicable to systems of multidegreeoffreedom.
出处
《西南交通大学学报》
EI
CSCD
北大核心
1998年第1期77-81,共5页
Journal of Southwest Jiaotong University
关键词
非线性系统
随机振动
等效
线性化
均方响应
nonlinear system
random vibration
equivalent
linearization
mean square response
