摘要
将结构动力系统的参数及激励的随机性直接引入结构的动力泛函变分表达式中，基于瞬时最小势能原理，应用小参数摄动法，建立了随机结构动力分析的随机变分列式及相应的确机有限元法。算例表明，应用此法分析随机结构动力响应，具有程序实施简便，计算效率高的优点。
This paper introduces stochastic structural parameters and random dynamic excitation directly into the dynamic functional variational formulations . and develops the dynamic anal- ysis of a unified stochastic variational principle and the corresponding stochastic finite ele- ment method via the instantaneous minimum potential energy principle and the small parame- ter perturbation technique. Numerical examples are examined to show that the approaches proposed herein have the advantages of the simple and convenient program implementation , and are accurate and effective for the dynamic analysis of structures with random parame- tcrs.
出处
《计算力学学报》
CAS
CSCD
1998年第3期263-274,共12页
Chinese Journal of Computational Mechanics
基金
国家自然科学基金
关键词
随机变分原理
随机有限元
摄动
结构动力学
stochastic variational principle
random field
stochastic finite element method
perturbation technique
dynamic response
