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    Markov Approximation to Transient Vibration

    Source: Journal of Engineering Mechanics:;1983:;Volume ( 109 ):;issue: 004
    Author:
    Polychronis‐T. D. Spanos
    ,
    George P. Solomos
    DOI: 10.1061/(ASCE)0733-9399(1983)109:4(1134)
    Publisher: American Society of Civil Engineers
    Abstract: The response of a lightly damped single‐degree‐of‐freedom oscillator to a random excitation with an evolutionary broad‐band power spectrum is considered. Analytical solutions are given for the transition, joint, and marginal probability densities of a Markovian approximation of the response amplitude. Digital data generated by extensive simulations of the response amplitude statistics are presented as well. These data are discussed in context with an assessment of the reliability of the developed analytical solutions.
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      Markov Approximation to Transient Vibration

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    contributor authorPolychronis‐T. D. Spanos
    contributor authorGeorge P. Solomos
    date accessioned2017-05-08T22:05:29Z
    date available2017-05-08T22:05:29Z
    date copyrightAugust 1983
    date issued1983
    identifier other%28asce%290733-9399%281983%29109%3A4%281134%29.pdf
    identifier urihttp://yetl.yabesh.ir/yetl/handle/yetl/71086
    description abstractThe response of a lightly damped single‐degree‐of‐freedom oscillator to a random excitation with an evolutionary broad‐band power spectrum is considered. Analytical solutions are given for the transition, joint, and marginal probability densities of a Markovian approximation of the response amplitude. Digital data generated by extensive simulations of the response amplitude statistics are presented as well. These data are discussed in context with an assessment of the reliability of the developed analytical solutions.
    publisherAmerican Society of Civil Engineers
    titleMarkov Approximation to Transient Vibration
    typeJournal Paper
    journal volume109
    journal issue4
    journal titleJournal of Engineering Mechanics
    identifier doi10.1061/(ASCE)0733-9399(1983)109:4(1134)
    treeJournal of Engineering Mechanics:;1983:;Volume ( 109 ):;issue: 004
    contenttypeFulltext
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