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    On Asymptotic Expansions for Circular Cylindrical Shells

    Source: Journal of Applied Mechanics:;1964:;volume( 031 ):;issue: 002::page 245
    Author:
    Eric Reissner
    DOI: 10.1115/1.3629593
    Publisher: The American Society of Mechanical Engineers (ASME)
    Abstract: The paper presents an asymptotic expansion procedure (with reference to decreasing values of wall-thickness shell-radius ratio) for the solutions of the linear theory of the three simultaneous equations for displacements in isotropic circular cylindrical shells. The resultant expansions are applied to a number of fundamental boundary-value problems for a semi-infinite shell. The analysis shows the importance of the joint consideration of differential equations and boundary conditions for a clarification of the asymptotic nature of the solution to be determined.
    keyword(s): Circular cylindrical shells , Boundary-value problems , Shells , Wall thickness , Differential equations , Equations AND Sedimentation ,
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      On Asymptotic Expansions for Circular Cylindrical Shells

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    contributor authorEric Reissner
    date accessioned2017-05-08T23:17:57Z
    date available2017-05-08T23:17:57Z
    date copyrightJune, 1964
    date issued1964
    identifier issn0021-8936
    identifier otherJAMCAV-25749#245_1.pdf
    identifier urihttp://yetl.yabesh.ir/yetl/handle/yetl/98479
    description abstractThe paper presents an asymptotic expansion procedure (with reference to decreasing values of wall-thickness shell-radius ratio) for the solutions of the linear theory of the three simultaneous equations for displacements in isotropic circular cylindrical shells. The resultant expansions are applied to a number of fundamental boundary-value problems for a semi-infinite shell. The analysis shows the importance of the joint consideration of differential equations and boundary conditions for a clarification of the asymptotic nature of the solution to be determined.
    publisherThe American Society of Mechanical Engineers (ASME)
    titleOn Asymptotic Expansions for Circular Cylindrical Shells
    typeJournal Paper
    journal volume31
    journal issue2
    journal titleJournal of Applied Mechanics
    identifier doi10.1115/1.3629593
    journal fristpage245
    journal lastpage252
    identifier eissn1528-9036
    keywordsCircular cylindrical shells
    keywordsBoundary-value problems
    keywordsShells
    keywordsWall thickness
    keywordsDifferential equations
    keywordsEquations AND Sedimentation
    treeJournal of Applied Mechanics:;1964:;volume( 031 ):;issue: 002
    contenttypeFulltext
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