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    Some First-Passage Problems in Random Vibration

    Source: Journal of Applied Mechanics:;1966:;volume( 033 ):;issue: 003::page 532
    Author:
    S. H. Crandall
    ,
    K. L. Chandiramani
    ,
    R. G. Cook
    DOI: 10.1115/1.3625118
    Publisher: The American Society of Mechanical Engineers (ASME)
    Abstract: First-passage problems for a lightly damped linear oscillator excited by white noise are described for two types of initial conditions and three different types of barrier configurations. The qualitative behavior of the probability distribution of the time to first passage is discussed. Two numerical procedures utilizing high-speed digital computers are outlined, and quantitative results for first-passage probability densities are displayed. The asymptotic behavior of this density for long mean times to failure is discussed, and a table of experimentally determined mean times to failure is included.
    keyword(s): Random vibration , Failure , Probability , White noise , Computers , Density AND Harmonic oscillators ,
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      Some First-Passage Problems in Random Vibration

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    https://yetl.yabesh.ir/yetl1/handle/yetl/110267
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    contributor authorS. H. Crandall
    contributor authorK. L. Chandiramani
    contributor authorR. G. Cook
    date accessioned2017-05-08T23:38:29Z
    date available2017-05-08T23:38:29Z
    date copyrightSeptember, 1966
    date issued1966
    identifier issn0021-8936
    identifier otherJAMCAV-25834#532_1.pdf
    identifier urihttp://yetl.yabesh.ir/yetl/handle/yetl/110267
    description abstractFirst-passage problems for a lightly damped linear oscillator excited by white noise are described for two types of initial conditions and three different types of barrier configurations. The qualitative behavior of the probability distribution of the time to first passage is discussed. Two numerical procedures utilizing high-speed digital computers are outlined, and quantitative results for first-passage probability densities are displayed. The asymptotic behavior of this density for long mean times to failure is discussed, and a table of experimentally determined mean times to failure is included.
    publisherThe American Society of Mechanical Engineers (ASME)
    titleSome First-Passage Problems in Random Vibration
    typeJournal Paper
    journal volume33
    journal issue3
    journal titleJournal of Applied Mechanics
    identifier doi10.1115/1.3625118
    journal fristpage532
    journal lastpage538
    identifier eissn1528-9036
    keywordsRandom vibration
    keywordsFailure
    keywordsProbability
    keywordsWhite noise
    keywordsComputers
    keywordsDensity AND Harmonic oscillators
    treeJournal of Applied Mechanics:;1966:;volume( 033 ):;issue: 003
    contenttypeFulltext
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