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    Application of the Reissner Method to a Timoshenko Beam

    Source: Journal of Applied Mechanics:;1981:;volume( 048 ):;issue: 003::page 672
    Author:
    J. S. Rao
    ,
    S. V. Kulkarni
    ,
    K. B. Subrahmanyam
    DOI: 10.1115/1.3157699
    Publisher: The American Society of Mechanical Engineers (ASME)
    Abstract: The Reissner and the potential energy methods have been applied to a Timoshenko beam vibrating in flexure. Frequency equations are developed using shape functions for bending moment, shearing force, deflection, and slope in series form through the Ritz process. Natural frequencies and mode shapes are obtained and comparison is made between the results of the two approaches from which it is observed that the Reissner method indicates a quicker convergence and gives better mode shapes.
    keyword(s): Force , Potential energy , Bending (Stress) , Deflection , Equations , Frequency , Functions , Shapes AND Shearing ,
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      Application of the Reissner Method to a Timoshenko Beam

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    http://yetl.yabesh.ir/yetl1/handle/yetl/94129
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    contributor authorJ. S. Rao
    contributor authorS. V. Kulkarni
    contributor authorK. B. Subrahmanyam
    date accessioned2017-05-08T23:10:20Z
    date available2017-05-08T23:10:20Z
    date copyrightSeptember, 1981
    date issued1981
    identifier issn0021-8936
    identifier otherJAMCAV-26182#672_1.pdf
    identifier urihttp://yetl.yabesh.ir/yetl/handle/yetl/94129
    description abstractThe Reissner and the potential energy methods have been applied to a Timoshenko beam vibrating in flexure. Frequency equations are developed using shape functions for bending moment, shearing force, deflection, and slope in series form through the Ritz process. Natural frequencies and mode shapes are obtained and comparison is made between the results of the two approaches from which it is observed that the Reissner method indicates a quicker convergence and gives better mode shapes.
    publisherThe American Society of Mechanical Engineers (ASME)
    titleApplication of the Reissner Method to a Timoshenko Beam
    typeJournal Paper
    journal volume48
    journal issue3
    journal titleJournal of Applied Mechanics
    identifier doi10.1115/1.3157699
    journal fristpage672
    journal lastpage673
    identifier eissn1528-9036
    keywordsForce
    keywordsPotential energy
    keywordsBending (Stress)
    keywordsDeflection
    keywordsEquations
    keywordsFrequency
    keywordsFunctions
    keywordsShapes AND Shearing
    treeJournal of Applied Mechanics:;1981:;volume( 048 ):;issue: 003
    contenttypeFulltext
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