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    Three to One Resonant Responses of Inextensional Beams on the Elastic Foundation

    Source: Journal of Vibration and Acoustics:;2013:;volume( 135 ):;issue: 001::page 11015
    Author:
    Wang, Lianhua
    ,
    Ma, Jianjun
    ,
    Li, Lifeng
    ,
    Peng, Jian
    DOI: 10.1115/1.4007019
    Publisher: The American Society of Mechanical Engineers (ASME)
    Abstract: The large amplitude vibrations of the inextensional beam resting on the elastic foundation under threetoone internal resonance are investigated. The inextensional condition and multimodal discretization are used to obtain the equation of inplane motion and modulation equations. Due to the secondorder moment of the subgrade reaction, the quadratic nonlinearity is included in the present model. Moreover, this moment destroys the conservative character of the system. The nonlinear response and the associated stability are examined by means of frequency (force)response curves, and the shooting method is applied to investigate the dynamic solutions. Particular attention is placed on the effects of the cutoff frequency and boundary conditions. The results show that the cutoff frequency and boundary conditions do not significantly affect the contribution of nonresonant modes to the nonlinear coefficients. Moreover, the effects of foundation models on the threetoone resonant dynamics of the beam are discussed.
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      Three to One Resonant Responses of Inextensional Beams on the Elastic Foundation

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    http://yetl.yabesh.ir/yetl1/handle/yetl/153551
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    contributor authorWang, Lianhua
    contributor authorMa, Jianjun
    contributor authorLi, Lifeng
    contributor authorPeng, Jian
    date accessioned2017-05-09T01:04:03Z
    date available2017-05-09T01:04:03Z
    date issued2013
    identifier issn1048-9002
    identifier othervib_135_1_011015.pdf
    identifier urihttp://yetl.yabesh.ir/yetl/handle/yetl/153551
    description abstractThe large amplitude vibrations of the inextensional beam resting on the elastic foundation under threetoone internal resonance are investigated. The inextensional condition and multimodal discretization are used to obtain the equation of inplane motion and modulation equations. Due to the secondorder moment of the subgrade reaction, the quadratic nonlinearity is included in the present model. Moreover, this moment destroys the conservative character of the system. The nonlinear response and the associated stability are examined by means of frequency (force)response curves, and the shooting method is applied to investigate the dynamic solutions. Particular attention is placed on the effects of the cutoff frequency and boundary conditions. The results show that the cutoff frequency and boundary conditions do not significantly affect the contribution of nonresonant modes to the nonlinear coefficients. Moreover, the effects of foundation models on the threetoone resonant dynamics of the beam are discussed.
    publisherThe American Society of Mechanical Engineers (ASME)
    titleThree to One Resonant Responses of Inextensional Beams on the Elastic Foundation
    typeJournal Paper
    journal volume135
    journal issue1
    journal titleJournal of Vibration and Acoustics
    identifier doi10.1115/1.4007019
    journal fristpage11015
    journal lastpage11015
    identifier eissn1528-8927
    treeJournal of Vibration and Acoustics:;2013:;volume( 135 ):;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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