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contributor authorW.-C. Xie
date accessioned2017-05-09T00:06:40Z
date available2017-05-09T00:06:40Z
date copyrightMay, 2002
date issued2002
identifier issn0021-8936
identifier otherJAMCAV-26534#346_1.pdf
identifier urihttp://yetl.yabesh.ir/yetl/handle/yetl/126293
description abstractThe moment Lyapunov exponents of a two-dimensional viscoelastic system under bounded noise excitation are studied in this paper. An example of this system is the transverse vibration of a viscoelastic column under the excitation of stochastic axial compressive load. The stochastic parametric excitation is modeled as a bounded noise process, which is a realistic model of stochastic fluctuation in engineering applications. The moment Lyapunov exponent of the system is given by the eigenvalue of an eigenvalue problem. The method of regular perturbation is applied to obtain weak noise expansions of the moment Lyapunov exponent, Lyapunov exponent, and stability index in terms of the small fluctuation parameter. The results obtained are compared with those for which the effect of viscoelasticity is not considered.
publisherThe American Society of Mechanical Engineers (ASME)
titleMoment Lyapunov Exponents of a Two-Dimensional Viscoelastic System Under Bounded Noise Excitation
typeJournal Paper
journal volume69
journal issue3
journal titleJournal of Applied Mechanics
identifier doi10.1115/1.1445143
journal fristpage346
journal lastpage357
identifier eissn1528-9036
keywordsNoise (Sound)
keywordsEquations
keywordsStability AND Eigenvalues
treeJournal of Applied Mechanics:;2002:;volume( 069 ):;issue: 003
contenttypeFulltext


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