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contributor authorJia, Wantao
contributor authorZhu, Weiqiu
contributor authorXu, Yong
contributor authorLiu, Weiyan
date accessioned2017-05-09T01:04:46Z
date available2017-05-09T01:04:46Z
date issued2014
identifier issn0021-8936
identifier otherjam_081_04_041009.pdf
identifier urihttp://yetl.yabesh.ir/yetl/handle/yetl/153791
description abstractA stochastic averaging method for quasiintegrable and resonant Hamiltonian systems subject to combined Gaussian and Poisson white noise excitations is proposed. The case of resonance with خ± resonant relations is considered. An (n + خ±)dimensional averaged Generalized Fokker–Plank–Kolmogorov (GFPK) equation for the transition probability density of n action variables and خ± combinations of phase angles is derived from the stochastic integrodifferential equations (SIDEs) of original quasiintegrable and resonant Hamiltonian systems by using the jumpdiffusion chain rule. The reduced GFPK equation is solved by using finite difference method and the successive over relaxation method to obtain the stationary probability density of the system. An example of two nonlinearly damped oscillators under combined Gaussian and Poisson white noise excitations is given to illustrate the proposed method. The good agreement between the analytical results and those from digital simulation shows the validity of the proposed method.
publisherThe American Society of Mechanical Engineers (ASME)
titleStochastic Averaging of Quasi Integrable and Resonant Hamiltonian Systems Under Combined Gaussian and Poisson White Noise Excitations
typeJournal Paper
journal volume81
journal issue4
journal titleJournal of Applied Mechanics
identifier doi10.1115/1.4025141
journal fristpage41009
journal lastpage41009
identifier eissn1528-9036
treeJournal of Applied Mechanics:;2014:;volume( 081 ):;issue: 004
contenttypeFulltext


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