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

Wei XU

Xiaole YUE

机构：

[1] DepartmentofAppliedMathematics,NorthwesternPolytechnicalUniversity

来源：

AppliedMathematicsandMechanics(EnglishEdition) | 2015年 / 36卷 / 03期

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

页码：329 / 336

页数：8

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