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    Nonlinear Free Vibrations of Suspension Bridges: Application

    Source: Journal of Engineering Mechanics:;1983:;Volume ( 109 ):;issue: 001
    Author:
    Ahmed M. Abdel‐Ghaffar
    ,
    Lawrence I. Rubin
    DOI: 10.1061/(ASCE)0733-9399(1983)109:1(330)
    Publisher: American Society of Civil Engineers
    Abstract: The basic characteristics of the nonlinear free flexural‐torsional vibrations of two suspension bridges are examined. The Golden Gate Bridge and the Vincent‐Thomas Bridge were chosen to represent both a relatively long‐and a relatively short‐span suspension bridge's vibrations. The amplitude‐frequency relationships of the first six modes (symmetric and antisymmetric) of both vertical and torsional vibrations for each bridge are presented. The case when one of the linear natural frequencies of vertical vibration is equal to, or approximately equal to, another linear natural frequency of torsional vibration, is considered. This case revealed that the two modes are strongly coupled. Finally, a comparison between the analytical results obtained via the perturbation analysis and those obtained by the numerical integration of the governing coupled nonlinear equations of motion is presented. The agreement is reasonably good.
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      Nonlinear Free Vibrations of Suspension Bridges: Application

    URI
    http://yetl.yabesh.ir/yetl1/handle/yetl/70309
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    contributor authorAhmed M. Abdel‐Ghaffar
    contributor authorLawrence I. Rubin
    date accessioned2017-05-08T22:04:02Z
    date available2017-05-08T22:04:02Z
    date copyrightFebruary 1983
    date issued1983
    identifier other%28asce%290733-9399%281983%29109%3A1%28330%29.pdf
    identifier urihttp://yetl.yabesh.ir/yetl/handle/yetl/70309
    description abstractThe basic characteristics of the nonlinear free flexural‐torsional vibrations of two suspension bridges are examined. The Golden Gate Bridge and the Vincent‐Thomas Bridge were chosen to represent both a relatively long‐and a relatively short‐span suspension bridge's vibrations. The amplitude‐frequency relationships of the first six modes (symmetric and antisymmetric) of both vertical and torsional vibrations for each bridge are presented. The case when one of the linear natural frequencies of vertical vibration is equal to, or approximately equal to, another linear natural frequency of torsional vibration, is considered. This case revealed that the two modes are strongly coupled. Finally, a comparison between the analytical results obtained via the perturbation analysis and those obtained by the numerical integration of the governing coupled nonlinear equations of motion is presented. The agreement is reasonably good.
    publisherAmerican Society of Civil Engineers
    titleNonlinear Free Vibrations of Suspension Bridges: Application
    typeJournal Paper
    journal volume109
    journal issue1
    journal titleJournal of Engineering Mechanics
    identifier doi10.1061/(ASCE)0733-9399(1983)109:1(330)
    treeJournal of Engineering Mechanics:;1983:;Volume ( 109 ):;issue: 001
    contenttypeFulltext
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