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    Natural Frequencies Formula for Simply Supported Mindlin Plates

    Source: Journal of Vibration and Acoustics:;1994:;volume( 116 ):;issue: 004::page 536
    Author:
    C. M. Wang
    DOI: 10.1115/1.2930460
    Publisher: The American Society of Mechanical Engineers (ASME)
    Abstract: This paper presents an explicit formula for the vibration frequencies of simply supported Mindlin plates in terms of the corresponding thin (Kirchhoff) plate frequencies. The formula has been obtained from an exact vibration analysis of simply supported rectangular Mindlin plates. When the formula was applied to other simply supported plate shapes such as skew plates, circular and annular sectorial plates, it was found to give almost exact solutions. It appears that the formula can be used to predict the frequencies accurately for any simply supported plate shape and thus should be valuable to designers as Mindlin vibration solutions are scarce.
    keyword(s): Formulas , Frequency , Plates (structures) , Shapes , Vibration analysis , Vibration AND Oscillating frequencies ,
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      Natural Frequencies Formula for Simply Supported Mindlin Plates

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    contributor authorC. M. Wang
    date accessioned2017-05-08T23:46:00Z
    date available2017-05-08T23:46:00Z
    date copyrightOctober, 1994
    date issued1994
    identifier issn1048-9002
    identifier otherJVACEK-28816#536_1.pdf
    identifier urihttp://yetl.yabesh.ir/yetl/handle/yetl/114621
    description abstractThis paper presents an explicit formula for the vibration frequencies of simply supported Mindlin plates in terms of the corresponding thin (Kirchhoff) plate frequencies. The formula has been obtained from an exact vibration analysis of simply supported rectangular Mindlin plates. When the formula was applied to other simply supported plate shapes such as skew plates, circular and annular sectorial plates, it was found to give almost exact solutions. It appears that the formula can be used to predict the frequencies accurately for any simply supported plate shape and thus should be valuable to designers as Mindlin vibration solutions are scarce.
    publisherThe American Society of Mechanical Engineers (ASME)
    titleNatural Frequencies Formula for Simply Supported Mindlin Plates
    typeJournal Paper
    journal volume116
    journal issue4
    journal titleJournal of Vibration and Acoustics
    identifier doi10.1115/1.2930460
    journal fristpage536
    journal lastpage540
    identifier eissn1528-8927
    keywordsFormulas
    keywordsFrequency
    keywordsPlates (structures)
    keywordsShapes
    keywordsVibration analysis
    keywordsVibration AND Oscillating frequencies
    treeJournal of Vibration and Acoustics:;1994:;volume( 116 ):;issue: 004
    contenttypeFulltext
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