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    Lower Bounds to the Gravest and All Higher Frequencies of Homogeneous Vibrating Plates of Arbitrary Shape

    Source: Journal of Applied Mechanics:;1975:;volume( 042 ):;issue: 004::page 815
    Author:
    D. Pnueli
    DOI: 10.1115/1.3423712
    Publisher: The American Society of Mechanical Engineers (ASME)
    Abstract: A method is presented by which lower bound can be calculated for the gravest and all higher frequencies of both clamped and simply supported plates of arbitrary shape. The results have the form of simple algebraic formulas which depend on the plate’s area only. Numerical examples are presented for rectangular, triangular, and elliptical configurations.
    keyword(s): Plates (structures) , Frequency , Shapes AND Formulas ,
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      Lower Bounds to the Gravest and All Higher Frequencies of Homogeneous Vibrating Plates of Arbitrary Shape

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    http://yetl.yabesh.ir/yetl1/handle/yetl/86976
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    contributor authorD. Pnueli
    date accessioned2017-05-08T22:57:36Z
    date available2017-05-08T22:57:36Z
    date copyrightDecember, 1975
    date issued1975
    identifier issn0021-8936
    identifier otherJAMCAV-26047#815_1.pdf
    identifier urihttp://yetl.yabesh.ir/yetl/handle/yetl/86976
    description abstractA method is presented by which lower bound can be calculated for the gravest and all higher frequencies of both clamped and simply supported plates of arbitrary shape. The results have the form of simple algebraic formulas which depend on the plate’s area only. Numerical examples are presented for rectangular, triangular, and elliptical configurations.
    publisherThe American Society of Mechanical Engineers (ASME)
    titleLower Bounds to the Gravest and All Higher Frequencies of Homogeneous Vibrating Plates of Arbitrary Shape
    typeJournal Paper
    journal volume42
    journal issue4
    journal titleJournal of Applied Mechanics
    identifier doi10.1115/1.3423712
    journal fristpage815
    journal lastpage820
    identifier eissn1528-9036
    keywordsPlates (structures)
    keywordsFrequency
    keywordsShapes AND Formulas
    treeJournal of Applied Mechanics:;1975:;volume( 042 ):;issue: 004
    contenttypeFulltext
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