摘要
本文提出了预测拟李亚普诺夫系统随机响应的一种新的近似方法——等效非线性系统法.文中阐述了该方法的基本思想与物理基础,以及与能量包线随机平均法之间的关系。与数字模拟结果的比较表明,该方法给出令人满意的结果.
In the present paper a new equivalent nonlinear system method is developed for predicting the response of quasi-Lyapunov system to white noise excitation. The basic idea、the physical background of the method and the relationship between the method and the stochastic averaging method of energy envelope are expounded. The comparison with digital simulation for given examples shows that the method yields satisfactory approximate results.
出处
《固体力学学报》
CAS
CSCD
北大核心
1989年第1期34-44,共11页
Chinese Journal of Solid Mechanics
基金
中国科学院科学基金资助课题
关键词
非线性系统
随机振动
等效方法
Nonlinear systems, Random vibration, Response, Statistically equivalant method