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    Exact Solution of a Class of Non-Circular Vibrating Membranes

    Source: Journal of Vibration and Acoustics:;2022:;volume( 144 ):;issue: 004::page 44502-1
    Author:
    Wang
    ,
    C.Y.
    DOI: 10.1115/1.4054256
    Publisher: The American Society of Mechanical Engineers (ASME)
    Abstract: Saint-Venant’s method to solve the Poisson equation is applied to the Helmholtz equation which governs membrane vibration. A family of non-circular membrane shapes with N-fold rotational symmetry is presented. Membrane shapes, properties, and fundamental frequencies are tabulated. The solutions are exact and can serve as accuracy standards for approximate methods.
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      Exact Solution of a Class of Non-Circular Vibrating Membranes

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    contributor authorWang
    contributor authorC.Y.
    date accessioned2022-08-18T13:08:27Z
    date available2022-08-18T13:08:27Z
    date copyright5/2/2022 12:00:00 AM
    date issued2022
    identifier issn1048-9002
    identifier othervib_144_4_044502.pdf
    identifier urihttp://yetl.yabesh.ir/yetl1/handle/yetl/4287502
    description abstractSaint-Venant’s method to solve the Poisson equation is applied to the Helmholtz equation which governs membrane vibration. A family of non-circular membrane shapes with N-fold rotational symmetry is presented. Membrane shapes, properties, and fundamental frequencies are tabulated. The solutions are exact and can serve as accuracy standards for approximate methods.
    publisherThe American Society of Mechanical Engineers (ASME)
    titleExact Solution of a Class of Non-Circular Vibrating Membranes
    typeJournal Paper
    journal volume144
    journal issue4
    journal titleJournal of Vibration and Acoustics
    identifier doi10.1115/1.4054256
    journal fristpage44502-1
    journal lastpage44502-3
    page3
    treeJournal of Vibration and Acoustics:;2022:;volume( 144 ):;issue: 004
    contenttypeFulltext
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