contributor author | W. Q. Zhu | |
contributor author | M. L. Deng | |
contributor author | Z. L. Huang | |
date accessioned | 2017-05-09T00:06:39Z | |
date available | 2017-05-09T00:06:39Z | |
date copyright | May, 2002 | |
date issued | 2002 | |
identifier issn | 0021-8936 | |
identifier other | JAMCAV-26534#274_1.pdf | |
identifier uri | http://yetl.yabesh.ir/yetl/handle/yetl/126283 | |
description abstract | The first-passage failure of quasi-integrable Hamiltonian systems (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 Hamitonian 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. | |
publisher | The American Society of Mechanical Engineers (ASME) | |
title | First-Passage Failure of Quasi-Integrable Hamiltonian Systems | |
type | Journal Paper | |
journal volume | 69 | |
journal issue | 3 | |
journal title | Journal of Applied Mechanics | |
identifier doi | 10.1115/1.1460912 | |
journal fristpage | 274 | |
journal lastpage | 282 | |
identifier eissn | 1528-9036 | |
keywords | Reliability | |
keywords | Equations | |
keywords | Failure | |
keywords | Probability | |
keywords | Boundary-value problems AND Density | |
tree | Journal of Applied Mechanics:;2002:;volume( 069 ):;issue: 003 | |
contenttype | Fulltext | |