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    On the Vibrations of Parabolic Membranes

    Source: Journal of Manufacturing Science and Engineering:;1966:;volume( 088 ):;issue: 001::page 45
    Author:
    L. L. Fontenot
    ,
    D. O. Lomen
    DOI: 10.1115/1.3670889
    Publisher: The American Society of Mechanical Engineers (ASME)
    Abstract: This study is concerned with the transverse vibrations of a theoretical membrane which occupies a region bounded by two confocal parabolas. The eigenvalues and eigenfunctions for Dirichlet conditions are determined. Nodal patterns for the free vibrations of the membrane are given for various forms of symmetry. Orthogonality relations are established; initial value problems and forced vibrations also are considered.
    keyword(s): Vibration , Membranes , Eigenfunctions , Eigenvalues AND Free vibrations ,
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      On the Vibrations of Parabolic Membranes

    URI
    https://yetl.yabesh.ir/yetl1/handle/yetl/115145
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    contributor authorL. L. Fontenot
    contributor authorD. O. Lomen
    date accessioned2017-05-08T23:46:54Z
    date available2017-05-08T23:46:54Z
    date copyrightFebruary, 1966
    date issued1966
    identifier issn1087-1357
    identifier otherJMSEFK-27498#45_1.pdf
    identifier urihttp://yetl.yabesh.ir/yetl/handle/yetl/115145
    description abstractThis study is concerned with the transverse vibrations of a theoretical membrane which occupies a region bounded by two confocal parabolas. The eigenvalues and eigenfunctions for Dirichlet conditions are determined. Nodal patterns for the free vibrations of the membrane are given for various forms of symmetry. Orthogonality relations are established; initial value problems and forced vibrations also are considered.
    publisherThe American Society of Mechanical Engineers (ASME)
    titleOn the Vibrations of Parabolic Membranes
    typeJournal Paper
    journal volume88
    journal issue1
    journal titleJournal of Manufacturing Science and Engineering
    identifier doi10.1115/1.3670889
    journal fristpage45
    journal lastpage50
    identifier eissn1528-8935
    keywordsVibration
    keywordsMembranes
    keywordsEigenfunctions
    keywordsEigenvalues AND Free vibrations
    treeJournal of Manufacturing Science and Engineering:;1966:;volume( 088 ):;issue: 001
    contenttypeFulltext
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