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. |
入库方式： OAI收割
来源：力学研究所
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