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    Dynamic Analysis of Circular Cylindrical Shells With General Boundary Conditions Using Modified Fourier Series Method

    Source: Journal of Vibration and Acoustics:;2012:;volume( 134 ):;issue: 004::page 41004
    Author:
    Lu Dai
    ,
    W. L. Li
    ,
    Jingtao Du
    ,
    Guoyong Jin
    ,
    Tiejun Yang
    DOI: 10.1115/1.4005833
    Publisher: The American Society of Mechanical Engineers (ASME)
    Abstract: Dynamic behavior of cylindrical shell structures is an important research topic since they have been extensively used in practical engineering applications. However, the dynamic analysis of circular cylindrical shells with general boundary conditions is rarely studied in the literature probably because of a lack of viable analytical or numerical techniques. In addition, the use of existing solution procedures, which are often only customized for a specific set of different boundary conditions, can easily be inundated by the variety of possible boundary conditions encountered in practice. For instance, even only considering the classical (homogeneous) boundary conditions, one will have a total of 136 different combinations. In this investigation, the flexural and in-plane displacements are generally sought, regardless of boundary conditions, as a simple Fourier series supplemented by several closed-form functions. As a result, a unified analytical method is generally developed for the vibration analysis of circular cylindrical shells with arbitrary boundary conditions including all the classical ones. The Rayleigh-Ritz method is employed to find the displacement solutions. Several examples are given to demonstrate the accuracy and convergence of the current solutions. The modal characteristics and vibration responses of elastically supported shells are discussed for various restraining stiffnesses and configurations. Although the stiffness distributions are here considered to be uniform along the circumferences, the current method can be readily extended to cylindrical shells with nonuniform elastic restraints.
    keyword(s): Vibration , Boundary-value problems , Circular cylindrical shells , Fourier series , Shells , Stiffness , Vibration analysis , Functions , Dynamic analysis , Springs , Displacement , Force , Frequency AND Pipes ,
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      Dynamic Analysis of Circular Cylindrical Shells With General Boundary Conditions Using Modified Fourier Series Method

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    http://yetl.yabesh.ir/yetl1/handle/yetl/150624
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    contributor authorLu Dai
    contributor authorW. L. Li
    contributor authorJingtao Du
    contributor authorGuoyong Jin
    contributor authorTiejun Yang
    date accessioned2017-05-09T00:55:34Z
    date available2017-05-09T00:55:34Z
    date copyrightAugust, 2012
    date issued2012
    identifier issn1048-9002
    identifier otherJVACEK-28920#041004_1.pdf
    identifier urihttp://yetl.yabesh.ir/yetl/handle/yetl/150624
    description abstractDynamic behavior of cylindrical shell structures is an important research topic since they have been extensively used in practical engineering applications. However, the dynamic analysis of circular cylindrical shells with general boundary conditions is rarely studied in the literature probably because of a lack of viable analytical or numerical techniques. In addition, the use of existing solution procedures, which are often only customized for a specific set of different boundary conditions, can easily be inundated by the variety of possible boundary conditions encountered in practice. For instance, even only considering the classical (homogeneous) boundary conditions, one will have a total of 136 different combinations. In this investigation, the flexural and in-plane displacements are generally sought, regardless of boundary conditions, as a simple Fourier series supplemented by several closed-form functions. As a result, a unified analytical method is generally developed for the vibration analysis of circular cylindrical shells with arbitrary boundary conditions including all the classical ones. The Rayleigh-Ritz method is employed to find the displacement solutions. Several examples are given to demonstrate the accuracy and convergence of the current solutions. The modal characteristics and vibration responses of elastically supported shells are discussed for various restraining stiffnesses and configurations. Although the stiffness distributions are here considered to be uniform along the circumferences, the current method can be readily extended to cylindrical shells with nonuniform elastic restraints.
    publisherThe American Society of Mechanical Engineers (ASME)
    titleDynamic Analysis of Circular Cylindrical Shells With General Boundary Conditions Using Modified Fourier Series Method
    typeJournal Paper
    journal volume134
    journal issue4
    journal titleJournal of Vibration and Acoustics
    identifier doi10.1115/1.4005833
    journal fristpage41004
    identifier eissn1528-8927
    keywordsVibration
    keywordsBoundary-value problems
    keywordsCircular cylindrical shells
    keywordsFourier series
    keywordsShells
    keywordsStiffness
    keywordsVibration analysis
    keywordsFunctions
    keywordsDynamic analysis
    keywordsSprings
    keywordsDisplacement
    keywordsForce
    keywordsFrequency AND Pipes
    treeJournal of Vibration and Acoustics:;2012:;volume( 134 ):;issue: 004
    contenttypeFulltext
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    DSpace software copyright © 2002-2015  DuraSpace
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