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    Semi-Implicit Integration Algorithm for Stochastic Analysis of Multi-Degree-of-Freedom Structures

    Source: Journal of Engineering Mechanics:;2002:;Volume ( 128 ):;issue: 006
    Author:
    Yasuki Ohtori
    ,
    B. F. Spencer, Jr.
    DOI: 10.1061/(ASCE)0733-9399(2002)128:6(635)
    Publisher: American Society of Civil Engineers
    Abstract: This paper presents a semi-implicit integration algorithm for random vibration problems that is appropriate for analyzing large structures, nonlinear hysteretic systems, and structural control problems. This semi-implicit approach results in a recursive expression for the mean and covariance response. A state-space representation of the equations of motion is adopted for deriving the algorithm. The solution of the state-space equations is first obtained, after which the expected value of the resulting equations is taken so as to obtain the first two moments. A stability condition for the method is also derived. Three numerical examples, a linear oscillator, a Duffing oscillator, and a multi-degree-of-freedom system with hysteretic supplemental damping devices, are provided to illustrate the effectiveness of the proposed method. Results compare well with Monte Carlo simulation, indicating that the semi-implicit integration algorithm is accurate and stable.
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      Semi-Implicit Integration Algorithm for Stochastic Analysis of Multi-Degree-of-Freedom Structures

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    http://yetl.yabesh.ir/yetl1/handle/yetl/85569
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    contributor authorYasuki Ohtori
    contributor authorB. F. Spencer, Jr.
    date accessioned2017-05-08T22:39:50Z
    date available2017-05-08T22:39:50Z
    date copyrightJune 2002
    date issued2002
    identifier other%28asce%290733-9399%282002%29128%3A6%28635%29.pdf
    identifier urihttp://yetl.yabesh.ir/yetl/handle/yetl/85569
    description abstractThis paper presents a semi-implicit integration algorithm for random vibration problems that is appropriate for analyzing large structures, nonlinear hysteretic systems, and structural control problems. This semi-implicit approach results in a recursive expression for the mean and covariance response. A state-space representation of the equations of motion is adopted for deriving the algorithm. The solution of the state-space equations is first obtained, after which the expected value of the resulting equations is taken so as to obtain the first two moments. A stability condition for the method is also derived. Three numerical examples, a linear oscillator, a Duffing oscillator, and a multi-degree-of-freedom system with hysteretic supplemental damping devices, are provided to illustrate the effectiveness of the proposed method. Results compare well with Monte Carlo simulation, indicating that the semi-implicit integration algorithm is accurate and stable.
    publisherAmerican Society of Civil Engineers
    titleSemi-Implicit Integration Algorithm for Stochastic Analysis of Multi-Degree-of-Freedom Structures
    typeJournal Paper
    journal volume128
    journal issue6
    journal titleJournal of Engineering Mechanics
    identifier doi10.1061/(ASCE)0733-9399(2002)128:6(635)
    treeJournal of Engineering Mechanics:;2002:;Volume ( 128 ):;issue: 006
    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
    yabeshDSpacePersian