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    Optimization of Finite Element Grids Based on Minimum Potential Energy

    Source: Journal of Manufacturing Science and Engineering:;1973:;volume( 095 ):;issue: 001::page 186
    Author:
    G. M. McNeice
    ,
    P. V. Marcal
    DOI: 10.1115/1.3438097
    Publisher: The American Society of Mechanical Engineers (ASME)
    Abstract: An initial study has been made of a method for optimizing finite element grids. This method is based on the minimum potential energy where the nodal point positions are also treated as independent variables. Necessary conditions have been obtained for the optimized grids. Case studies demonstrate the procedure for a one-dimensional tapered bar under axial load and for a two-dimensional square membrane subjected to a parabolic tensile stress. The optimized grids were observed to give improved stress estimates.
    keyword(s): Finite element analysis , Optimization , Potential energy , Stress , Membranes AND Tension ,
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      Optimization of Finite Element Grids Based on Minimum Potential Energy

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    http://yetl.yabesh.ir/yetl1/handle/yetl/164124
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    contributor authorG. M. McNeice
    contributor authorP. V. Marcal
    date accessioned2017-05-09T01:37:02Z
    date available2017-05-09T01:37:02Z
    date copyrightFebruary, 1973
    date issued1973
    identifier issn1087-1357
    identifier otherJMSEFK-27583#186_1.pdf
    identifier urihttp://yetl.yabesh.ir/yetl/handle/yetl/164124
    description abstractAn initial study has been made of a method for optimizing finite element grids. This method is based on the minimum potential energy where the nodal point positions are also treated as independent variables. Necessary conditions have been obtained for the optimized grids. Case studies demonstrate the procedure for a one-dimensional tapered bar under axial load and for a two-dimensional square membrane subjected to a parabolic tensile stress. The optimized grids were observed to give improved stress estimates.
    publisherThe American Society of Mechanical Engineers (ASME)
    titleOptimization of Finite Element Grids Based on Minimum Potential Energy
    typeJournal Paper
    journal volume95
    journal issue1
    journal titleJournal of Manufacturing Science and Engineering
    identifier doi10.1115/1.3438097
    journal fristpage186
    journal lastpage190
    identifier eissn1528-8935
    keywordsFinite element analysis
    keywordsOptimization
    keywordsPotential energy
    keywordsStress
    keywordsMembranes AND Tension
    treeJournal of Manufacturing Science and Engineering:;1973:;volume( 095 ):;issue: 001
    contenttypeFulltext
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    DSpace software copyright © 2002-2015  DuraSpace
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