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    Vibration of a Free Rectangular Parallelepiped

    Source: Journal of Applied Mechanics:;1983:;volume( 050 ):;issue: 001::page 123
    Author:
    J. R. Hutchinson
    ,
    S. D. Zillmer
    DOI: 10.1115/1.3166978
    Publisher: The American Society of Mechanical Engineers (ASME)
    Abstract: A series solution of the general equations of linear elasticity is used to determine accurate natural frequencies for the vibrations of a rectangular parallelepiped with traction-free surfaces. The series solution is found to converge to accurate frequencies with the use of very few terms. Resulting frequences are tabulated for comparison with previous experimental results and are shown graphically for comparison with elementary rod, beam, and plate solutions. The comparisons with elementary solutions show good agreement, and comparisons with the experiment results shows excellent agreement.
    keyword(s): Vibration , Frequency , Traction , Equations AND Elasticity ,
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      Vibration of a Free Rectangular Parallelepiped

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    contributor authorJ. R. Hutchinson
    contributor authorS. D. Zillmer
    date accessioned2017-05-08T23:14:51Z
    date available2017-05-08T23:14:51Z
    date copyrightMarch, 1983
    date issued1983
    identifier issn0021-8936
    identifier otherJAMCAV-26214#123_1.pdf
    identifier urihttp://yetl.yabesh.ir/yetl/handle/yetl/96719
    description abstractA series solution of the general equations of linear elasticity is used to determine accurate natural frequencies for the vibrations of a rectangular parallelepiped with traction-free surfaces. The series solution is found to converge to accurate frequencies with the use of very few terms. Resulting frequences are tabulated for comparison with previous experimental results and are shown graphically for comparison with elementary rod, beam, and plate solutions. The comparisons with elementary solutions show good agreement, and comparisons with the experiment results shows excellent agreement.
    publisherThe American Society of Mechanical Engineers (ASME)
    titleVibration of a Free Rectangular Parallelepiped
    typeJournal Paper
    journal volume50
    journal issue1
    journal titleJournal of Applied Mechanics
    identifier doi10.1115/1.3166978
    journal fristpage123
    journal lastpage130
    identifier eissn1528-9036
    keywordsVibration
    keywordsFrequency
    keywordsTraction
    keywordsEquations AND Elasticity
    treeJournal of Applied Mechanics:;1983:;volume( 050 ):;issue: 001
    contenttypeFulltext
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