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    Axisymmetric Free Vibration of Shallow Spherical Shells With a Circular Rigid Insert

    Source: Journal of Pressure Vessel Technology:;1993:;volume( 115 ):;issue: 002::page 207
    Author:
    D. Y. Hwang
    ,
    W. A. Foster
    DOI: 10.1115/1.2929517
    Publisher: The American Society of Mechanical Engineers (ASME)
    Abstract: A general solution for the third-order partial differential equations for the axisymmetric free vibration of thin isotropic shallow spherical shells with a rigid insert is presented in this paper. The frequency equation in terms of Bessel functions as well as modified Bessel functions is solved for the fundamental vibrational frequency and mode shape. Both linear and non-linear boundary conditions are applied and the results are compared. The relationship between the vibrational frequency, mode shape and the size of the rigid insert is discussed.
    keyword(s): Free vibrations , Shallow spherical shells , Shapes , Bessel functions , Boundary-value problems , Equations AND Partial differential equations ,
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      Axisymmetric Free Vibration of Shallow Spherical Shells With a Circular Rigid Insert

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    https://yetl.yabesh.ir/yetl1/handle/yetl/112547
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    contributor authorD. Y. Hwang
    contributor authorW. A. Foster
    date accessioned2017-05-08T23:42:23Z
    date available2017-05-08T23:42:23Z
    date copyrightMay, 1993
    date issued1993
    identifier issn0094-9930
    identifier otherJPVTAS-28345#207_1.pdf
    identifier urihttp://yetl.yabesh.ir/yetl/handle/yetl/112547
    description abstractA general solution for the third-order partial differential equations for the axisymmetric free vibration of thin isotropic shallow spherical shells with a rigid insert is presented in this paper. The frequency equation in terms of Bessel functions as well as modified Bessel functions is solved for the fundamental vibrational frequency and mode shape. Both linear and non-linear boundary conditions are applied and the results are compared. The relationship between the vibrational frequency, mode shape and the size of the rigid insert is discussed.
    publisherThe American Society of Mechanical Engineers (ASME)
    titleAxisymmetric Free Vibration of Shallow Spherical Shells With a Circular Rigid Insert
    typeJournal Paper
    journal volume115
    journal issue2
    journal titleJournal of Pressure Vessel Technology
    identifier doi10.1115/1.2929517
    journal fristpage207
    journal lastpage209
    identifier eissn1528-8978
    keywordsFree vibrations
    keywordsShallow spherical shells
    keywordsShapes
    keywordsBessel functions
    keywordsBoundary-value problems
    keywordsEquations AND Partial differential equations
    treeJournal of Pressure Vessel Technology:;1993:;volume( 115 ):;issue: 002
    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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