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    Lyapunov Exponents and Stochastic Stability of Coupled Linear Systems Under Real Noise Excitation

    Source: Journal of Applied Mechanics:;1992:;volume( 059 ):;issue: 003::page 664
    Author:
    S. T. Ariaratnam
    ,
    Wei-Chau Xie
    DOI: 10.1115/1.2893775
    Publisher: The American Society of Mechanical Engineers (ASME)
    Abstract: The almost-sure asymptotic stability of a class of coupled multi-degrees-of-freedom systems subjected to parametric excitation by an ergodic stochastic process of small intensity is studied. Explicit asymptotic expressions for the largest Lyapunov exponent for various values of the system parameters are obtained by using a combination of the method of stochastic averaging and a well-known procedure due to Khas’minskii, from which the asymptotic stability boundaries are determined. As an application, the example of the flexural-torsional instability of a thin elastic beam acted upon by a stochastically fluctuating load at the central cross-section of the beam is investigated.
    keyword(s): Stability , Noise (Sound) , Linear systems , Stochastic processes AND Stress ,
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      Lyapunov Exponents and Stochastic Stability of Coupled Linear Systems Under Real Noise Excitation

    URI
    http://yetl.yabesh.ir/yetl1/handle/yetl/109683
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    contributor authorS. T. Ariaratnam
    contributor authorWei-Chau Xie
    date accessioned2017-05-08T23:37:27Z
    date available2017-05-08T23:37:27Z
    date copyrightSeptember, 1992
    date issued1992
    identifier issn0021-8936
    identifier otherJAMCAV-26343#664_1.pdf
    identifier urihttp://yetl.yabesh.ir/yetl/handle/yetl/109683
    description abstractThe almost-sure asymptotic stability of a class of coupled multi-degrees-of-freedom systems subjected to parametric excitation by an ergodic stochastic process of small intensity is studied. Explicit asymptotic expressions for the largest Lyapunov exponent for various values of the system parameters are obtained by using a combination of the method of stochastic averaging and a well-known procedure due to Khas’minskii, from which the asymptotic stability boundaries are determined. As an application, the example of the flexural-torsional instability of a thin elastic beam acted upon by a stochastically fluctuating load at the central cross-section of the beam is investigated.
    publisherThe American Society of Mechanical Engineers (ASME)
    titleLyapunov Exponents and Stochastic Stability of Coupled Linear Systems Under Real Noise Excitation
    typeJournal Paper
    journal volume59
    journal issue3
    journal titleJournal of Applied Mechanics
    identifier doi10.1115/1.2893775
    journal fristpage664
    journal lastpage673
    identifier eissn1528-9036
    keywordsStability
    keywordsNoise (Sound)
    keywordsLinear systems
    keywordsStochastic processes AND Stress
    treeJournal of Applied Mechanics:;1992:;volume( 059 ):;issue: 003
    contenttypeFulltext
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