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    A Comprehensive Elliptic Integral Solution to the Large Deflection Problems of Thin Beams in Compliant Mechanisms

    Source: Journal of Mechanisms and Robotics:;2013:;volume( 005 ):;issue: 002::page 21006
    Author:
    Zhang, Aimei
    ,
    Chen, Guimin
    DOI: 10.1115/1.4023558
    Publisher: The American Society of Mechanical Engineers (ASME)
    Abstract: The elliptic integral solution is often considered to be the most accurate method for analyzing large deflections of thin beams in compliant mechanisms. In this paper, a comprehensive solution based on the elliptic integrals is proposed for solving large deflection problems. By explicitly incorporating the number of inflection points and the sign of the endmoment load in the derivation, the comprehensive solution is capable of solving large deflections of thin beams with multiple inflection points and subject to any kinds of load cases. The comprehensive solution also extends the elliptic integral solutions to be suitable for any beam end angle. Deflected configurations of complex modes solved by the comprehensive solution are presented and discussed. The use of the comprehensive solution in analyzing compliant mechanisms is also demonstrated by examples.
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      A Comprehensive Elliptic Integral Solution to the Large Deflection Problems of Thin Beams in Compliant Mechanisms

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    http://yetl.yabesh.ir/yetl1/handle/yetl/152616
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    contributor authorZhang, Aimei
    contributor authorChen, Guimin
    date accessioned2017-05-09T01:01:12Z
    date available2017-05-09T01:01:12Z
    date issued2013
    identifier issn1942-4302
    identifier otherjmr_5_2_021006.pdf
    identifier urihttp://yetl.yabesh.ir/yetl/handle/yetl/152616
    description abstractThe elliptic integral solution is often considered to be the most accurate method for analyzing large deflections of thin beams in compliant mechanisms. In this paper, a comprehensive solution based on the elliptic integrals is proposed for solving large deflection problems. By explicitly incorporating the number of inflection points and the sign of the endmoment load in the derivation, the comprehensive solution is capable of solving large deflections of thin beams with multiple inflection points and subject to any kinds of load cases. The comprehensive solution also extends the elliptic integral solutions to be suitable for any beam end angle. Deflected configurations of complex modes solved by the comprehensive solution are presented and discussed. The use of the comprehensive solution in analyzing compliant mechanisms is also demonstrated by examples.
    publisherThe American Society of Mechanical Engineers (ASME)
    titleA Comprehensive Elliptic Integral Solution to the Large Deflection Problems of Thin Beams in Compliant Mechanisms
    typeJournal Paper
    journal volume5
    journal issue2
    journal titleJournal of Mechanisms and Robotics
    identifier doi10.1115/1.4023558
    journal fristpage21006
    journal lastpage21006
    identifier eissn1942-4310
    treeJournal of Mechanisms and Robotics:;2013:;volume( 005 ):;issue: 002
    contenttypeFulltext
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    DSpace software copyright © 2002-2015  DuraSpace
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