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contributor authorJinyu Zhu
contributor authorRonald M. C. So
contributor authorX. Q. Wang
contributor authorW.-C. Xie
date accessioned2017-05-09T00:31:14Z
date available2017-05-09T00:31:14Z
date copyrightJuly, 2009
date issued2009
identifier issn0021-8936
identifier otherJAMCAV-26755#041007_1.pdf
identifier urihttp://yetl.yabesh.ir/yetl/handle/yetl/139724
description abstractThe dynamic stability of a two degrees-of-freedom system under bounded noise excitation with a narrowband characteristic is studied through the determination of moment Lyapunov exponents. The partial differential eigenvalue problem governing the moment Lyapunov exponent is established. For weak noise excitations, a singular perturbation method is employed to obtain second-order expansions of the moment Lyapunov exponents and Lyapunov exponents, which are shown to be in good agreement with those obtained using Monte Carlo simulation. The different cases when the system is in subharmonic resonance, combination additive resonance, and combined resonance in the absence of noise, respectively, are considered. The effects of noise and frequency detuning on the parametric resonance are investigated.
publisherThe American Society of Mechanical Engineers (ASME)
titleParametric Resonance of a Two Degrees-of-Freedom System Induced by Bounded Noise
typeJournal Paper
journal volume76
journal issue4
journal titleJournal of Applied Mechanics
identifier doi10.1115/1.2999427
journal fristpage41007
identifier eissn1528-9036
keywordsResonance
keywordsNoise (Sound)
keywordsDegrees of freedom
keywordsStability AND Eigenvalues
treeJournal of Applied Mechanics:;2009:;volume( 076 ):;issue: 004
contenttypeFulltext


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