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    An Upper Bound on the Failure Probability for Linear Structures

    Source: Journal of Applied Mechanics:;1973:;volume( 040 ):;issue: 001::page 181
    Author:
    L. H. Koopmans
    ,
    J. T. P. Yao
    ,
    C. Qualls
    DOI: 10.1115/1.3422921
    Publisher: The American Society of Mechanical Engineers (ASME)
    Abstract: This paper establishes a new upper bound on the failure probability of linear structures excited by an earthquake. From Drenick’s inequality max|y(t)| ≤ MN, where N2 = ∫ h2 , M2 , = ∫ x2 , x(t) is a nonstationary Gaussian stochastic process representing the excitation of the earthquake, and y(t) is the stochastic response of the structure with impulse response function h(τ), we obtain an exponential bound computable in terms of the mean and variance of the energy M2 . A numerical example is given.
    keyword(s): Failure , Probability , Earthquakes , Impulse (Physics) AND Stochastic processes ,
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      An Upper Bound on the Failure Probability for Linear Structures

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    http://yetl.yabesh.ir/yetl1/handle/yetl/163571
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    contributor authorL. H. Koopmans
    contributor authorJ. T. P. Yao
    contributor authorC. Qualls
    date accessioned2017-05-09T01:36:03Z
    date available2017-05-09T01:36:03Z
    date copyrightMarch, 1973
    date issued1973
    identifier issn0021-8936
    identifier otherJAMCAV-25974#181_1.pdf
    identifier urihttp://yetl.yabesh.ir/yetl/handle/yetl/163571
    description abstractThis paper establishes a new upper bound on the failure probability of linear structures excited by an earthquake. From Drenick’s inequality max|y(t)| ≤ MN, where N2 = ∫ h2 , M2 , = ∫ x2 , x(t) is a nonstationary Gaussian stochastic process representing the excitation of the earthquake, and y(t) is the stochastic response of the structure with impulse response function h(τ), we obtain an exponential bound computable in terms of the mean and variance of the energy M2 . A numerical example is given.
    publisherThe American Society of Mechanical Engineers (ASME)
    titleAn Upper Bound on the Failure Probability for Linear Structures
    typeJournal Paper
    journal volume40
    journal issue1
    journal titleJournal of Applied Mechanics
    identifier doi10.1115/1.3422921
    journal fristpage181
    journal lastpage185
    identifier eissn1528-9036
    keywordsFailure
    keywordsProbability
    keywordsEarthquakes
    keywordsImpulse (Physics) AND Stochastic processes
    treeJournal of Applied Mechanics:;1973:;volume( 040 ):;issue: 001
    contenttypeFulltext
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    DSpace software copyright © 2002-2015  DuraSpace
    نرم افزار کتابخانه دیجیتال "دی اسپیس" فارسی شده توسط یابش برای کتابخانه های ایرانی | تماس با یابش
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