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    Numerical Considerations in Structural Component Shape Optimization

    Source: Journal of Mechanical Design:;1985:;volume( 107 ):;issue: 003::page 334
    Author:
    R. J. Yang
    ,
    K. K. Choi
    ,
    E. J. Haug
    DOI: 10.1115/1.3260718
    Publisher: The American Society of Mechanical Engineers (ASME)
    Abstract: A unified design sensitivity analysis theory and a linearization method of optimization are employed for structural component shape optimization. A material derivative method for shape design sensitivity analysis, using the variational formulation of the equations of elasticity and the finite element method for numerical analysis, is used to calculate derivatives of stress and other structural response measures with respect to boundary shape. Alternate methods of boundary shape parameterization are investigated, through solution of two test problems that have been treated previously by other methods: a fillet and a torque arm. Numerical experiments with these examples and a variety of finite element models show that component shape optimization requires careful selection of boundary parameterization, finite element model, and finite element grid refinement techniques.
    keyword(s): Optimization , Shapes , Finite element model , Design sensitivity analysis , Finite element analysis , Numerical analysis , Equations , Torque , Elasticity , Stress AND Finite element methods ,
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      Numerical Considerations in Structural Component Shape Optimization

    URI
    http://yetl.yabesh.ir/yetl1/handle/yetl/100171
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    • Journal of Mechanical Design

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    contributor authorR. J. Yang
    contributor authorK. K. Choi
    contributor authorE. J. Haug
    date accessioned2017-05-08T23:20:48Z
    date available2017-05-08T23:20:48Z
    date copyrightSeptember, 1985
    date issued1985
    identifier issn1050-0472
    identifier otherJMDEDB-28055#334_1.pdf
    identifier urihttp://yetl.yabesh.ir/yetl/handle/yetl/100171
    description abstractA unified design sensitivity analysis theory and a linearization method of optimization are employed for structural component shape optimization. A material derivative method for shape design sensitivity analysis, using the variational formulation of the equations of elasticity and the finite element method for numerical analysis, is used to calculate derivatives of stress and other structural response measures with respect to boundary shape. Alternate methods of boundary shape parameterization are investigated, through solution of two test problems that have been treated previously by other methods: a fillet and a torque arm. Numerical experiments with these examples and a variety of finite element models show that component shape optimization requires careful selection of boundary parameterization, finite element model, and finite element grid refinement techniques.
    publisherThe American Society of Mechanical Engineers (ASME)
    titleNumerical Considerations in Structural Component Shape Optimization
    typeJournal Paper
    journal volume107
    journal issue3
    journal titleJournal of Mechanical Design
    identifier doi10.1115/1.3260718
    journal fristpage334
    journal lastpage339
    identifier eissn1528-9001
    keywordsOptimization
    keywordsShapes
    keywordsFinite element model
    keywordsDesign sensitivity analysis
    keywordsFinite element analysis
    keywordsNumerical analysis
    keywordsEquations
    keywordsTorque
    keywordsElasticity
    keywordsStress AND Finite element methods
    treeJournal of Mechanical Design:;1985:;volume( 107 ):;issue: 003
    contenttypeFulltext
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