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    Refined Modeling and Free Vibration of Inextensional Beams on the Elastic Foundation

    Source: Journal of Applied Mechanics:;2013:;volume( 080 ):;issue: 004::page 41026
    Author:
    Wang, Lianhua
    ,
    Ma, Jianjun
    ,
    Zhao, Yueyu
    ,
    Liu, Qijian
    DOI: 10.1115/1.4023032
    Publisher: The American Society of Mechanical Engineers (ASME)
    Abstract: In this study, the nonlinear equation of motion of the beam on the elastic foundation is obtained via the Newton's second law of motion, and its free vibration nature is investigated. Considering the inextensional condition, the planar model of the beam accounting for the effects of the rotary inertia is derived. Then, the linear vibration and nonlinear vibration of the beam on the elastic foundation are examined. It is shown that the cutoff frequency can be observed in the frequency spectrum of the beam response. The effects of the rotary inertia on the natural frequencies are systematically investigated. Finally, the frequency differences, due to the different foundation models, and the possible modal interaction of the beam are discussed.
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      Refined Modeling and Free Vibration of Inextensional Beams on the Elastic Foundation

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    http://yetl.yabesh.ir/yetl1/handle/yetl/150881
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    contributor authorWang, Lianhua
    contributor authorMa, Jianjun
    contributor authorZhao, Yueyu
    contributor authorLiu, Qijian
    date accessioned2017-05-09T00:56:15Z
    date available2017-05-09T00:56:15Z
    date issued2013
    identifier issn0021-8936
    identifier otherjam_80_4_041026.pdf
    identifier urihttp://yetl.yabesh.ir/yetl/handle/yetl/150881
    description abstractIn this study, the nonlinear equation of motion of the beam on the elastic foundation is obtained via the Newton's second law of motion, and its free vibration nature is investigated. Considering the inextensional condition, the planar model of the beam accounting for the effects of the rotary inertia is derived. Then, the linear vibration and nonlinear vibration of the beam on the elastic foundation are examined. It is shown that the cutoff frequency can be observed in the frequency spectrum of the beam response. The effects of the rotary inertia on the natural frequencies are systematically investigated. Finally, the frequency differences, due to the different foundation models, and the possible modal interaction of the beam are discussed.
    publisherThe American Society of Mechanical Engineers (ASME)
    titleRefined Modeling and Free Vibration of Inextensional Beams on the Elastic Foundation
    typeJournal Paper
    journal volume80
    journal issue4
    journal titleJournal of Applied Mechanics
    identifier doi10.1115/1.4023032
    journal fristpage41026
    journal lastpage41026
    identifier eissn1528-9036
    treeJournal of Applied Mechanics:;2013:;volume( 080 ):;issue: 004
    contenttypeFulltext
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