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    A Simple Technique for the Minimum Mass Design of Continuous Structural Members

    Source: Journal of Applied Mechanics:;1977:;volume( 044 ):;issue: 002::page 285
    Author:
    M. Foley
    ,
    S. J. Citron
    DOI: 10.1115/1.3424039
    Publisher: The American Society of Mechanical Engineers (ASME)
    Abstract: A technique for determining the minimum mass design of continuous structural members is presented. The method involves formulating the minimum mass design problem as an optimal control problem, transforming the differential equations modeling the member into a penalty function, and then representing the state variables in terms of a Ritz-type expansion and discretizing to reduce the original optimal control problem to a parameter optimization problem. The technique is applied to determine the optimal design of a simply supported beam with fixed fundamental frequency of free vibration and a fixed-free column with specified Euler buckling load.
    keyword(s): Structural elements (Construction) , Design , Optimal control , Optimization , Buckling , Free vibrations , Simply supported beams , Differential equations , Modeling AND Stress ,
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      A Simple Technique for the Minimum Mass Design of Continuous Structural Members

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    http://yetl.yabesh.ir/yetl1/handle/yetl/89552
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    contributor authorM. Foley
    contributor authorS. J. Citron
    date accessioned2017-05-08T23:02:21Z
    date available2017-05-08T23:02:21Z
    date copyrightJune, 1977
    date issued1977
    identifier issn0021-8936
    identifier otherJAMCAV-26072#285_1.pdf
    identifier urihttp://yetl.yabesh.ir/yetl/handle/yetl/89552
    description abstractA technique for determining the minimum mass design of continuous structural members is presented. The method involves formulating the minimum mass design problem as an optimal control problem, transforming the differential equations modeling the member into a penalty function, and then representing the state variables in terms of a Ritz-type expansion and discretizing to reduce the original optimal control problem to a parameter optimization problem. The technique is applied to determine the optimal design of a simply supported beam with fixed fundamental frequency of free vibration and a fixed-free column with specified Euler buckling load.
    publisherThe American Society of Mechanical Engineers (ASME)
    titleA Simple Technique for the Minimum Mass Design of Continuous Structural Members
    typeJournal Paper
    journal volume44
    journal issue2
    journal titleJournal of Applied Mechanics
    identifier doi10.1115/1.3424039
    journal fristpage285
    journal lastpage290
    identifier eissn1528-9036
    keywordsStructural elements (Construction)
    keywordsDesign
    keywordsOptimal control
    keywordsOptimization
    keywordsBuckling
    keywordsFree vibrations
    keywordsSimply supported beams
    keywordsDifferential equations
    keywordsModeling AND Stress
    treeJournal of Applied Mechanics:;1977:;volume( 044 ):;issue: 002
    contenttypeFulltext
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