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    Existence of Periodic Solution for Beams With Harmonically Variable Length

    Source: Journal of Vibration and Acoustics:;1997:;volume( 119 ):;issue: 003::page 485
    Author:
    E. Esmailzadeh
    ,
    B. Mehri
    ,
    G. Nakhaie-Jazar
    DOI: 10.1115/1.2889749
    Publisher: The American Society of Mechanical Engineers (ASME)
    Abstract: The transverse oscillatory motion of a simple beam with one end fixed while driven harmonically at the other end along its longitudinal axis is investigated. For a special case of zero value for the rigidity of beam, the problem reduces to that of a vibrating string with its corresponding equation of motion. The sufficient condition for the periodic solution of the beam was determined using the Green’s function and Schauder’s fixed point theorem. The criterion for the stability of the system is well defined and the condition for which the performance of the beam behaves as a nonlinear function is stated.
    keyword(s): Theorems (Mathematics) , Stability , Motion , String , Equations of motion AND Stiffness ,
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      Existence of Periodic Solution for Beams With Harmonically Variable Length

    URI
    http://yetl.yabesh.ir/yetl1/handle/yetl/119727
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    • Journal of Vibration and Acoustics

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    contributor authorE. Esmailzadeh
    contributor authorB. Mehri
    contributor authorG. Nakhaie-Jazar
    date accessioned2017-05-08T23:55:19Z
    date available2017-05-08T23:55:19Z
    date copyrightJuly, 1997
    date issued1997
    identifier issn1048-9002
    identifier otherJVACEK-28839#485_1.pdf
    identifier urihttp://yetl.yabesh.ir/yetl/handle/yetl/119727
    description abstractThe transverse oscillatory motion of a simple beam with one end fixed while driven harmonically at the other end along its longitudinal axis is investigated. For a special case of zero value for the rigidity of beam, the problem reduces to that of a vibrating string with its corresponding equation of motion. The sufficient condition for the periodic solution of the beam was determined using the Green’s function and Schauder’s fixed point theorem. The criterion for the stability of the system is well defined and the condition for which the performance of the beam behaves as a nonlinear function is stated.
    publisherThe American Society of Mechanical Engineers (ASME)
    titleExistence of Periodic Solution for Beams With Harmonically Variable Length
    typeJournal Paper
    journal volume119
    journal issue3
    journal titleJournal of Vibration and Acoustics
    identifier doi10.1115/1.2889749
    journal fristpage485
    journal lastpage488
    identifier eissn1528-8927
    keywordsTheorems (Mathematics)
    keywordsStability
    keywordsMotion
    keywordsString
    keywordsEquations of motion AND Stiffness
    treeJournal of Vibration and Acoustics:;1997:;volume( 119 ):;issue: 003
    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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