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    The Reciprocal Theorem for Harmonic Oscillations of an Elastic, Isotropic Medium

    Source: Journal of Manufacturing Science and Engineering:;1966:;volume( 088 ):;issue: 004::page 350
    Author:
    Robert I. Sann
    ,
    Bernard W. Shaffer
    DOI: 10.1115/1.3672658
    Publisher: The American Society of Mechanical Engineers (ASME)
    Abstract: Using the formulation of continuum mechanics, a dynamic reciprocal theorem is derived for sinusoidal motion of an elastic medium. It is found that, exactly as in the static case, the work of the forces of State 1 acting through the displacements of State 2, equals the work of the forces of State 2 acting through the displacements of State 1. A simple example is given, which illustrates the application of the reciprocal theorem to the analysis of forced vibrations of beams.
    keyword(s): Theorems (Mathematics) , Oscillations , Force , Motion , Continuum mechanics AND Vibration ,
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      The Reciprocal Theorem for Harmonic Oscillations of an Elastic, Isotropic Medium

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    https://yetl.yabesh.ir/yetl1/handle/yetl/114445
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    contributor authorRobert I. Sann
    contributor authorBernard W. Shaffer
    date accessioned2017-05-08T23:45:41Z
    date available2017-05-08T23:45:41Z
    date copyrightNovember, 1966
    date issued1966
    identifier issn1087-1357
    identifier otherJMSEFK-27505#350_1.pdf
    identifier urihttp://yetl.yabesh.ir/yetl/handle/yetl/114445
    description abstractUsing the formulation of continuum mechanics, a dynamic reciprocal theorem is derived for sinusoidal motion of an elastic medium. It is found that, exactly as in the static case, the work of the forces of State 1 acting through the displacements of State 2, equals the work of the forces of State 2 acting through the displacements of State 1. A simple example is given, which illustrates the application of the reciprocal theorem to the analysis of forced vibrations of beams.
    publisherThe American Society of Mechanical Engineers (ASME)
    titleThe Reciprocal Theorem for Harmonic Oscillations of an Elastic, Isotropic Medium
    typeJournal Paper
    journal volume88
    journal issue4
    journal titleJournal of Manufacturing Science and Engineering
    identifier doi10.1115/1.3672658
    journal fristpage350
    journal lastpage351
    identifier eissn1528-8935
    keywordsTheorems (Mathematics)
    keywordsOscillations
    keywordsForce
    keywordsMotion
    keywordsContinuum mechanics AND Vibration
    treeJournal of Manufacturing Science and Engineering:;1966:;volume( 088 ):;issue: 004
    contenttypeFulltext
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