中国科学院机构知识库网格
Chinese Academy of Sciences Institutional Repositories Grid
First-passage failure of quasi-integrable Hamiltonian systems

文献类型:期刊论文

作者Zhu WQ(朱位秋); Deng ML; Huang ZL
刊名Journal of Applied Mechanics-Transactions of the ASME
出版日期2002
卷号69期号:3页码:274-282
关键词Nonlinear Feedback-Control Non-Linear Oscillators Stochastic Stability Time
ISSN号0021-8936
通讯作者Zhu, WQ (reprint author), Zhejiang Univ, Dept Mech, Hangzhou 310027, Peoples R China.
中文摘要The first-passage failure of quasi-integrable Hamiltonian si-stems (multidegree-of-freedom integrable Hamiltonian systems subject to light dampings and weakly random excitations) is investigated. The motion equations of such a system are first reduced to a set of averaged Ito stochastic differential equations by using the stochastic averaging method for quasi-integrable Hamiltonian systems. Then, a backward Kolmogorov equation governing the conditional reliability function and a set of generalized Pontryagin equations governing the conditional moments of first-passage time are established. Finally, the conditional reliability function, and the conditional probability density and moments of first-passage time are obtained by solving these equations with suitable initial and boundary conditions. Two examples are given to illustrate the proposed procedure and the results from digital simulation are obtained to verify the effectiveness of the procedure.
类目[WOS]Mechanics
研究领域[WOS]Mechanics
关键词[WOS]NONLINEAR FEEDBACK-CONTROL ; NON-LINEAR OSCILLATORS ; STOCHASTIC STABILITY ; TIME
收录类别SCI
语种英语
WOS记录号WOS:000175888200009
公开日期2009-08-03 ; 2010-06-13
源URL[http://dspace.imech.ac.cn/handle/311007/33697]  
专题力学研究所_力学所知识产出(1956-2008)
推荐引用方式
GB/T 7714
Zhu WQ,Deng ML,Huang ZL. First-passage failure of quasi-integrable Hamiltonian systems[J]. Journal of Applied Mechanics-Transactions of the ASME,2002,69(3):274-282.
APA 朱位秋,Deng ML,&Huang ZL.(2002).First-passage failure of quasi-integrable Hamiltonian systems.Journal of Applied Mechanics-Transactions of the ASME,69(3),274-282.
MLA 朱位秋,et al."First-passage failure of quasi-integrable Hamiltonian systems".Journal of Applied Mechanics-Transactions of the ASME 69.3(2002):274-282.

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来源:力学研究所

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