Stochastic response analysis of noisy system with non-negative real-power restoring force by generalized cell mapping method

被引：0
|
作者：
Qun HAN [1 ]
Wei XU [1 ]
Xiaole YUE [1 ]
机构：
[1] Department of Applied Mathematics,Northwestern Polytechnical University
来源：
AppliedMathematicsandMechanics(EnglishEdition) | 2015年 / 36卷 / 03期
基金：
中国国家自然科学基金; 中央高校基本科研业务费专项资金资助;
关键词：
stochastic response; probability density function(PDF); generalized cell mapping(GCM) method; real-power restoring force; bifurcation;
D O I：
暂无
中图分类号：
O324 [随机振动];
学科分类号：
080101 ;
摘要：
The stochastic response of a noisy system with non-negative real-power restoring force is investigated.The generalized cell mapping(GCM) method is used to compute the transient and stationary probability density functions(PDFs).Combined with the global properties of the noise-free system,the evolutionary process of the transient PDFs is revealed.The results show that stochastic P-bifurcation occurs when the system parameter varies in the response analysis and the stationary PDF evolves from bimodal to unimodal along the unstable manifold during the bifurcation.
引用
收藏
页码：329 / 336
页数：8
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