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    General Theorems Concerning Full Force Balancing of Planar Linkages by Internal Mass Redistribution

    Source: Journal of Manufacturing Science and Engineering:;1972:;volume( 094 ):;issue: 003::page 789
    Author:
    F. R. Tepper
    ,
    G. G. Lowen
    DOI: 10.1115/1.3428252
    Publisher: The American Society of Mechanical Engineers (ASME)
    Abstract: Two basic questions concerning the full force balancing of n-linked planar mechanisms with pinned and sliding joints are resolved. A contour theorem is shown to differentiate between mechanisms which can be fully force-balanced and those which cannot. (Mechanisms with axisymmetric link groupings are excluded.) In addition, a generalization of the Method of Linearly Independent Vectors for single degree of freedom mechanisms is given, and it is proven that the “apparent” minimum number of counterweights producing full force balancing by internal mass redistribution alone equals n/2.
    keyword(s): Theorems (Mathematics) , Force , Linkages , Mechanisms AND Degrees of freedom ,
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      General Theorems Concerning Full Force Balancing of Planar Linkages by Internal Mass Redistribution

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    http://yetl.yabesh.ir/yetl1/handle/yetl/163070
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    contributor authorF. R. Tepper
    contributor authorG. G. Lowen
    date accessioned2017-05-09T01:35:07Z
    date available2017-05-09T01:35:07Z
    date copyrightAugust, 1972
    date issued1972
    identifier issn1087-1357
    identifier otherJMSEFK-27575#789_1.pdf
    identifier urihttp://yetl.yabesh.ir/yetl/handle/yetl/163070
    description abstractTwo basic questions concerning the full force balancing of n-linked planar mechanisms with pinned and sliding joints are resolved. A contour theorem is shown to differentiate between mechanisms which can be fully force-balanced and those which cannot. (Mechanisms with axisymmetric link groupings are excluded.) In addition, a generalization of the Method of Linearly Independent Vectors for single degree of freedom mechanisms is given, and it is proven that the “apparent” minimum number of counterweights producing full force balancing by internal mass redistribution alone equals n/2.
    publisherThe American Society of Mechanical Engineers (ASME)
    titleGeneral Theorems Concerning Full Force Balancing of Planar Linkages by Internal Mass Redistribution
    typeJournal Paper
    journal volume94
    journal issue3
    journal titleJournal of Manufacturing Science and Engineering
    identifier doi10.1115/1.3428252
    journal fristpage789
    journal lastpage796
    identifier eissn1528-8935
    keywordsTheorems (Mathematics)
    keywordsForce
    keywordsLinkages
    keywordsMechanisms AND Degrees of freedom
    treeJournal of Manufacturing Science and Engineering:;1972:;volume( 094 ):;issue: 003
    contenttypeFulltext
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