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    A Set of Orthogonal Plate Functions for Flexural Vibration of Regular Polygonal Plates

    Source: Journal of Vibration and Acoustics:;1991:;volume( 113 ):;issue: 002::page 182
    Author:
    K. M. Liew
    ,
    K. Y. Lam
    DOI: 10.1115/1.2930167
    Publisher: The American Society of Mechanical Engineers (ASME)
    Abstract: A computationally efficient and very accurate numerical method is proposed for vibration analysis of regular polygonal plates with any combinations of clamped, simply-supported and free boundary conditions. The method involves the use of two-dimensional orthogonal polynomials generated by the Gram-Schmidt recurrence procedure. For the cases of simply supported and fully clamped hexagonal and octagonal plates, the results obtained agreed very well with those existing in the literature. The frequencies and mode shapes for several hexagonal and octagonal plates subjected to mixed boundary conditions are also presented.
    keyword(s): Plates (structures) , Vibration , Functions , Boundary-value problems , Frequency , Polynomials , Shapes , Vibration analysis AND Numerical analysis ,
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      A Set of Orthogonal Plate Functions for Flexural Vibration of Regular Polygonal Plates

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    http://yetl.yabesh.ir/yetl1/handle/yetl/109511
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    contributor authorK. M. Liew
    contributor authorK. Y. Lam
    date accessioned2017-05-08T23:37:11Z
    date available2017-05-08T23:37:11Z
    date copyrightApril, 1991
    date issued1991
    identifier issn1048-9002
    identifier otherJVACEK-28797#182_1.pdf
    identifier urihttp://yetl.yabesh.ir/yetl/handle/yetl/109511
    description abstractA computationally efficient and very accurate numerical method is proposed for vibration analysis of regular polygonal plates with any combinations of clamped, simply-supported and free boundary conditions. The method involves the use of two-dimensional orthogonal polynomials generated by the Gram-Schmidt recurrence procedure. For the cases of simply supported and fully clamped hexagonal and octagonal plates, the results obtained agreed very well with those existing in the literature. The frequencies and mode shapes for several hexagonal and octagonal plates subjected to mixed boundary conditions are also presented.
    publisherThe American Society of Mechanical Engineers (ASME)
    titleA Set of Orthogonal Plate Functions for Flexural Vibration of Regular Polygonal Plates
    typeJournal Paper
    journal volume113
    journal issue2
    journal titleJournal of Vibration and Acoustics
    identifier doi10.1115/1.2930167
    journal fristpage182
    journal lastpage186
    identifier eissn1528-8927
    keywordsPlates (structures)
    keywordsVibration
    keywordsFunctions
    keywordsBoundary-value problems
    keywordsFrequency
    keywordsPolynomials
    keywordsShapes
    keywordsVibration analysis AND Numerical analysis
    treeJournal of Vibration and Acoustics:;1991:;volume( 113 ):;issue: 002
    contenttypeFulltext
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