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    Accurate Vibration Analysis of Simply Supported Rhombic Plates by Considering Stress Singularities

    Source: Journal of Vibration and Acoustics:;1995:;volume( 117 ):;issue: 3A::page 245
    Author:
    C. S. Huang
    ,
    O. G. McGee
    ,
    A. W. Leissa
    ,
    J. W. Kim
    DOI: 10.1115/1.2874440
    Publisher: The American Society of Mechanical Engineers (ASME)
    Abstract: This is the first known work which explicitly considers the bending stress singularities that occur in the two opposite, obtuse corner angles of simply supported rhombic plates undergoing free, transverse vibration. The importance of these singularities increases as the rhombic plate becomes highly skewed (i.e., the obtuse angles increase). The analysis is carried out by the Ritz method using a hybrid set consisting of two types of displacement functions, e.g., (1) algebraic polynomials and (2) corner functions accounting for the singularities in the obtuse corners. It is shown that the corner functions accelerate the convergence of solution, and that these functions are required if accurate solutions are to be obtained for highly skewed plates. Accurate nondimensional frequencies and normalized contours of the vibratory transverse displacement are presented for simply supported rhombic plates with skew angles ranging to 75 deg. (i.e., obtuse angles of 165 deg.). Frequency and mode shapes of isosceles and right triangular plates with all edges simply supported are also available from the data presented.
    keyword(s): Plates (structures) , Stress singularity , Vibration analysis , Corners (Structural elements) , Functions , Displacement , Frequency , Polynomials , Shapes , Bending (Stress) AND Vibration ,
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      Accurate Vibration Analysis of Simply Supported Rhombic Plates by Considering Stress Singularities

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    http://yetl.yabesh.ir/yetl1/handle/yetl/116211
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    contributor authorC. S. Huang
    contributor authorO. G. McGee
    contributor authorA. W. Leissa
    contributor authorJ. W. Kim
    date accessioned2017-05-08T23:48:43Z
    date available2017-05-08T23:48:43Z
    date copyrightJuly, 1995
    date issued1995
    identifier issn1048-9002
    identifier otherJVACEK-28821#245_1.pdf
    identifier urihttp://yetl.yabesh.ir/yetl/handle/yetl/116211
    description abstractThis is the first known work which explicitly considers the bending stress singularities that occur in the two opposite, obtuse corner angles of simply supported rhombic plates undergoing free, transverse vibration. The importance of these singularities increases as the rhombic plate becomes highly skewed (i.e., the obtuse angles increase). The analysis is carried out by the Ritz method using a hybrid set consisting of two types of displacement functions, e.g., (1) algebraic polynomials and (2) corner functions accounting for the singularities in the obtuse corners. It is shown that the corner functions accelerate the convergence of solution, and that these functions are required if accurate solutions are to be obtained for highly skewed plates. Accurate nondimensional frequencies and normalized contours of the vibratory transverse displacement are presented for simply supported rhombic plates with skew angles ranging to 75 deg. (i.e., obtuse angles of 165 deg.). Frequency and mode shapes of isosceles and right triangular plates with all edges simply supported are also available from the data presented.
    publisherThe American Society of Mechanical Engineers (ASME)
    titleAccurate Vibration Analysis of Simply Supported Rhombic Plates by Considering Stress Singularities
    typeJournal Paper
    journal volume117
    journal issue3A
    journal titleJournal of Vibration and Acoustics
    identifier doi10.1115/1.2874440
    journal fristpage245
    journal lastpage251
    identifier eissn1528-8927
    keywordsPlates (structures)
    keywordsStress singularity
    keywordsVibration analysis
    keywordsCorners (Structural elements)
    keywordsFunctions
    keywordsDisplacement
    keywordsFrequency
    keywordsPolynomials
    keywordsShapes
    keywordsBending (Stress) AND Vibration
    treeJournal of Vibration and Acoustics:;1995:;volume( 117 ):;issue: 3A
    contenttypeFulltext
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