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    Narrow-Band Excitation of a Nonlinear Oscillator

    Source: Journal of Applied Mechanics:;1976:;volume( 043 ):;issue: 002::page 340
    Author:
    W. C. Lennox
    ,
    Y. C. Kuak
    DOI: 10.1115/1.3423836
    Publisher: The American Society of Mechanical Engineers (ASME)
    Abstract: A nonlinear oscillator characterized by a hardening-type restoring force is excited by stationary narrow-band noise. The analysis is based on the concept of quasi-static amplitude and phase values which is exactly opposite to the stochastic or Markov approach with its associated Fokker-Planck equation. The approach, in effect, replaces a system with memory with one without memory. The existence of jumps is demonstrated and an expression for the probability of the occurrence of jumps is derived.
    keyword(s): Force , Hardening , Noise (Sound) , Fokker-Planck equation AND Probability ,
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      Narrow-Band Excitation of a Nonlinear Oscillator

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    contributor authorW. C. Lennox
    contributor authorY. C. Kuak
    date accessioned2017-05-08T23:00:13Z
    date available2017-05-08T23:00:13Z
    date copyrightJune, 1976
    date issued1976
    identifier issn0021-8936
    identifier otherJAMCAV-26055#340_1.pdf
    identifier urihttp://yetl.yabesh.ir/yetl/handle/yetl/88358
    description abstractA nonlinear oscillator characterized by a hardening-type restoring force is excited by stationary narrow-band noise. The analysis is based on the concept of quasi-static amplitude and phase values which is exactly opposite to the stochastic or Markov approach with its associated Fokker-Planck equation. The approach, in effect, replaces a system with memory with one without memory. The existence of jumps is demonstrated and an expression for the probability of the occurrence of jumps is derived.
    publisherThe American Society of Mechanical Engineers (ASME)
    titleNarrow-Band Excitation of a Nonlinear Oscillator
    typeJournal Paper
    journal volume43
    journal issue2
    journal titleJournal of Applied Mechanics
    identifier doi10.1115/1.3423836
    journal fristpage340
    journal lastpage344
    identifier eissn1528-9036
    keywordsForce
    keywordsHardening
    keywordsNoise (Sound)
    keywordsFokker-Planck equation AND Probability
    treeJournal of Applied Mechanics:;1976:;volume( 043 ):;issue: 002
    contenttypeFulltext
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