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    Torsional Vibrations of Pretwisted Cantilever Plates

    Source: Journal of Mechanical Design:;1978:;volume( 100 ):;issue: 003::page 528
    Author:
    K. Gupta
    ,
    J. S. Rao
    DOI: 10.1115/1.3453962
    Publisher: The American Society of Mechanical Engineers (ASME)
    Abstract: A pretwisted cantilever plate is treated as a thin shallow shell. Its potential and kinetic energies in torsional vibration are determined by assuming an appropriate displacement field. Applying Hamilton’s principle, the problem is reduced to a fourth-order ordinary differential equation with constant coefficients, which is solved to obtain the first four torsional frequencies of vibration. Plates of aspect ratios varying from 1.0 to 8.0 are analyzed with pretwist angles varying from 0 to 90 deg. Results of the present analysis are compared with existing theoretical and experimental results.
    keyword(s): Plates (structures) , Vibration , Cantilevers , Displacement , Frequency , Shells , Kinetic energy , Hamilton's principle AND Differential equations ,
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      Torsional Vibrations of Pretwisted Cantilever Plates

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    http://yetl.yabesh.ir/yetl1/handle/yetl/91384
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    contributor authorK. Gupta
    contributor authorJ. S. Rao
    date accessioned2017-05-08T23:05:24Z
    date available2017-05-08T23:05:24Z
    date copyrightJuly, 1978
    date issued1978
    identifier issn1050-0472
    identifier otherJMDEDB-27969#528_1.pdf
    identifier urihttp://yetl.yabesh.ir/yetl/handle/yetl/91384
    description abstractA pretwisted cantilever plate is treated as a thin shallow shell. Its potential and kinetic energies in torsional vibration are determined by assuming an appropriate displacement field. Applying Hamilton’s principle, the problem is reduced to a fourth-order ordinary differential equation with constant coefficients, which is solved to obtain the first four torsional frequencies of vibration. Plates of aspect ratios varying from 1.0 to 8.0 are analyzed with pretwist angles varying from 0 to 90 deg. Results of the present analysis are compared with existing theoretical and experimental results.
    publisherThe American Society of Mechanical Engineers (ASME)
    titleTorsional Vibrations of Pretwisted Cantilever Plates
    typeJournal Paper
    journal volume100
    journal issue3
    journal titleJournal of Mechanical Design
    identifier doi10.1115/1.3453962
    journal fristpage528
    journal lastpage534
    identifier eissn1528-9001
    keywordsPlates (structures)
    keywordsVibration
    keywordsCantilevers
    keywordsDisplacement
    keywordsFrequency
    keywordsShells
    keywordsKinetic energy
    keywordsHamilton's principle AND Differential equations
    treeJournal of Mechanical Design:;1978:;volume( 100 ):;issue: 003
    contenttypeFulltext
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