contributor author | W. Q. Zhu | |
contributor author | Z. L. Huang | |
contributor author | Y. Q. Yang | |
date accessioned | 2017-05-08T23:52:27Z | |
date available | 2017-05-08T23:52:27Z | |
date copyright | December, 1997 | |
date issued | 1997 | |
identifier issn | 0021-8936 | |
identifier other | JAMCAV-26428#975_1.pdf | |
identifier uri | http://yetl.yabesh.ir/yetl/handle/yetl/118127 | |
description abstract | A stochastic averaging method is proposed to predict approximately the response of quasi-integrable Hamiltonian systems, i.e., multi-degree-of-freedom integrable Hamiltonian systems subject to lightly linear and (or) nonlinear dampings and weakly external and (or) parametric excitations of Gaussian white noises. According to the present method an n-dimensional averaged Fokker-Planck-Kolmogrov (FPK) equation governing the transition probability density of n action variables or n independent integrals of motion can be constructed in nonresonant case. In a resonant case with α resonant relations, an (n + α)-dimensional averaged FPK equation governing the transition probability density of n action variables and α combinations of phase angles can be obtained. The procedures for obtaining the stationary solutions of the averaged FPK equations for both resonant and nonresonant cases are presented. It is pointed out that the Stratonovich stochastic averaging and the stochastic averaging of energy envelope are two special cases of the present stochastic averaging. Two examples are given to illustrate the application and validity of the proposed method. | |
publisher | The American Society of Mechanical Engineers (ASME) | |
title | Stochastic Averaging of Quasi-Integrable Hamiltonian Systems | |
type | Journal Paper | |
journal volume | 64 | |
journal issue | 4 | |
journal title | Journal of Applied Mechanics | |
identifier doi | 10.1115/1.2789009 | |
journal fristpage | 975 | |
journal lastpage | 984 | |
identifier eissn | 1528-9036 | |
keywords | Density | |
keywords | Motion | |
keywords | Noise (Sound) | |
keywords | Equations AND Probability | |
tree | Journal of Applied Mechanics:;1997:;volume( 064 ):;issue: 004 | |
contenttype | Fulltext | |