First-passage time of Duffing oscillator under combined harmonic and white-noise excitations
文献类型：期刊论文
| 作者 | Zhu WQ(朱位秋); Wu YJ |
| 刊名 | Nonlinear Dynamics
 |
| 出版日期 | 2003 |
| 卷号 | 32期号:3页码:291-305 |
| 关键词 | Duffing Oscillator Combined Harmonic And White Noise Excitations Stochastic Averaging First-Passage Time Reliability Integrable-Hamiltonian-Systems Nonlinear Oscillators Passage Time Broad-Band Failure Envelope |
| ISSN号 | 0924-090X |
| 通讯作者 | Zhu, WQ (reprint author), Zhejiang Univ, Dept Mech, Hangzhou 310027, Peoples R China. |
| 中文摘要 | The first-passage time of Duffing oscillator under combined harmonic and white-noise excitations is studied. The equation of motion of the system is first reduced to a set of averaged Ito stochastic differential equations by using the stochastic averaging method. 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 the backward Kolmogorov equation and generalized Pontryagin equations with suitable initial and boundary conditions. Numerical results for two resonant cases with several sets of parameter values are obtained and the analytical results are verified by using those from digital simulation. |
| 类目[WOS] | Engineering, Mechanical ; Mechanics |
| 研究领域[WOS] | Engineering ; Mechanics |
| 关键词[WOS] | INTEGRABLE-HAMILTONIAN-SYSTEMS ; NONLINEAR OSCILLATORS ; PASSAGE TIME ; BROAD-BAND ; FAILURE ; ENVELOPE |
| 收录类别 | SCI |
| 语种 | 英语 |
| WOS记录号 | WOS:000183708900004 |
| 公开日期 | 2009-08-03 ; 2010-06-13 |
| 源URL | [http://dspace.imech.ac.cn/handle/311007/33723]  |
| 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,Wu YJ. First-passage time of Duffing oscillator under combined harmonic and white-noise excitations[J]. Nonlinear Dynamics,2003,32(3):291-305. |
| APA | 朱位秋,&Wu YJ.(2003).First-passage time of Duffing oscillator under combined harmonic and white-noise excitations.Nonlinear Dynamics,32(3),291-305. |
| MLA | 朱位秋,et al."First-passage time of Duffing oscillator under combined harmonic and white-noise excitations".Nonlinear Dynamics 32.3(2003):291-305. |
入库方式： OAI收割
来源：力学研究所
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