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    The Elastic-Dynamic Behavior of a Counterweighted Rocker Link with an Overhanging Endmass in a Four-Bar Linkage—Part I: Theory

    Source: Journal of Mechanical Design:;1979:;volume( 101 ):;issue: 001::page 77
    Author:
    W. G. Jandrasits
    ,
    G. G. Lowen
    DOI: 10.1115/1.3454028
    Publisher: The American Society of Mechanical Engineers (ASME)
    Abstract: The theoretical part of an investigation of the elastic-dynamic behavior of a counterweighted four-bar linkage rocker link, which in addition carries an overhanging mass, is given. The linearized equations of motion are derived by way of Hamilton’s integral, a novel elastic mechanism constraint equation, and the method of Kantorovich. The normal modes of the free vibration of the complex link provide the space portions of the solution, while the time portions are furnished by the resulting Hill’s equations. Floquet theory is adapted for stability considerations and a method for obtaining steady-state solutions is given. Part II applies the solution techniques to a specific mechanism and reports on confirming experimentation.
    keyword(s): Linkages , Equations , Mechanisms , Stability , Equations of motion , Free vibrations AND Steady state ,
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      The Elastic-Dynamic Behavior of a Counterweighted Rocker Link with an Overhanging Endmass in a Four-Bar Linkage—Part I: Theory

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    http://yetl.yabesh.ir/yetl1/handle/yetl/92540
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    contributor authorW. G. Jandrasits
    contributor authorG. G. Lowen
    date accessioned2017-05-08T23:07:27Z
    date available2017-05-08T23:07:27Z
    date copyrightJanuary, 1979
    date issued1979
    identifier issn1050-0472
    identifier otherJMDEDB-27971#77_1.pdf
    identifier urihttp://yetl.yabesh.ir/yetl/handle/yetl/92540
    description abstractThe theoretical part of an investigation of the elastic-dynamic behavior of a counterweighted four-bar linkage rocker link, which in addition carries an overhanging mass, is given. The linearized equations of motion are derived by way of Hamilton’s integral, a novel elastic mechanism constraint equation, and the method of Kantorovich. The normal modes of the free vibration of the complex link provide the space portions of the solution, while the time portions are furnished by the resulting Hill’s equations. Floquet theory is adapted for stability considerations and a method for obtaining steady-state solutions is given. Part II applies the solution techniques to a specific mechanism and reports on confirming experimentation.
    publisherThe American Society of Mechanical Engineers (ASME)
    titleThe Elastic-Dynamic Behavior of a Counterweighted Rocker Link with an Overhanging Endmass in a Four-Bar Linkage—Part I: Theory
    typeJournal Paper
    journal volume101
    journal issue1
    journal titleJournal of Mechanical Design
    identifier doi10.1115/1.3454028
    journal fristpage77
    journal lastpage88
    identifier eissn1528-9001
    keywordsLinkages
    keywordsEquations
    keywordsMechanisms
    keywordsStability
    keywordsEquations of motion
    keywordsFree vibrations AND Steady state
    treeJournal of Mechanical Design:;1979:;volume( 101 ):;issue: 001
    contenttypeFulltext
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