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    An Improved Finite Difference Method Applied to Thin Shells

    Source: Journal of Manufacturing Science and Engineering:;1971:;volume( 093 ):;issue: 004::page 1030
    Author:
    N. Nelson
    ,
    A. Chang
    DOI: 10.1115/1.3428039
    Publisher: The American Society of Mechanical Engineers (ASME)
    Abstract: New methods of deriving more accurate difference equations are given. These are used to compute the stresses in thin shells. The governing shell equations are derived making the Donnell assumptions, so that unknowns are expressed in changes of curvatures and normal forces. These equations are then solved using improved finite difference formulas in which terms of higher order, compared to ordinary finite difference formulas, are taken into account. Several examples are given showing results comparable to other methods but using far fewer unknowns.
    keyword(s): Finite difference methods , Thin shells , Equations , Formulas , Shells , Force AND Stress ,
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      An Improved Finite Difference Method Applied to Thin Shells

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    http://yetl.yabesh.ir/yetl1/handle/yetl/153211
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    contributor authorN. Nelson
    contributor authorA. Chang
    date accessioned2017-05-09T01:02:46Z
    date available2017-05-09T01:02:46Z
    date copyrightNovember, 1971
    date issued1971
    identifier issn1087-1357
    identifier otherJMSEFK-27566#1030_1.pdf
    identifier urihttp://yetl.yabesh.ir/yetl/handle/yetl/153211
    description abstractNew methods of deriving more accurate difference equations are given. These are used to compute the stresses in thin shells. The governing shell equations are derived making the Donnell assumptions, so that unknowns are expressed in changes of curvatures and normal forces. These equations are then solved using improved finite difference formulas in which terms of higher order, compared to ordinary finite difference formulas, are taken into account. Several examples are given showing results comparable to other methods but using far fewer unknowns.
    publisherThe American Society of Mechanical Engineers (ASME)
    titleAn Improved Finite Difference Method Applied to Thin Shells
    typeJournal Paper
    journal volume93
    journal issue4
    journal titleJournal of Manufacturing Science and Engineering
    identifier doi10.1115/1.3428039
    journal fristpage1030
    journal lastpage1036
    identifier eissn1528-8935
    keywordsFinite difference methods
    keywordsThin shells
    keywordsEquations
    keywordsFormulas
    keywordsShells
    keywordsForce AND Stress
    treeJournal of Manufacturing Science and Engineering:;1971:;volume( 093 ):;issue: 004
    contenttypeFulltext
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