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    A Unified Algorithm for Analysis and Simulation of Planar Four Bar Motions Defined With R and P Joints

    Source: Journal of Mechanisms and Robotics:;2015:;volume( 007 ):;issue: 001::page 11014
    Author:
    Li, Xiangyun
    ,
    Ge, Xin
    ,
    Purwar, Anurag
    ,
    Ge, Q. J.
    DOI: 10.1115/1.4029295
    Publisher: The American Society of Mechanical Engineers (ASME)
    Abstract: This paper presents a single, unified, and efficient algorithm for animating the coupler motions of all fourbar mechanisms formed with revolute (R) and prismatic (P) joints. This is achieved without having to formulate and solve the loop closure equation for each type of fourbar linkages separately. Recently, we developed a unified algorithm for synthesizing various fourbar linkages by mapping planar displacements from Cartesian space to the image space using planar quaternions. Given a set of image points that represent planar displacements, the problem of synthesizing a planar fourbar linkage is reduced to finding a pencil of generalized manifolds (or Gmanifolds) that best fit the image points in the least squares sense. In this paper, we show that the same unified formulation for linkage synthesis leads to a unified algorithm for linkage analysis and simulation as well. Both the unified synthesis and analysis algorithms have been implemented on Apple's iOS platform.
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      A Unified Algorithm for Analysis and Simulation of Planar Four Bar Motions Defined With R and P Joints

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    http://yetl.yabesh.ir/yetl1/handle/yetl/158949
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    contributor authorLi, Xiangyun
    contributor authorGe, Xin
    contributor authorPurwar, Anurag
    contributor authorGe, Q. J.
    date accessioned2017-05-09T01:21:19Z
    date available2017-05-09T01:21:19Z
    date issued2015
    identifier issn1942-4302
    identifier otherjmr_007_01_011014.pdf
    identifier urihttp://yetl.yabesh.ir/yetl/handle/yetl/158949
    description abstractThis paper presents a single, unified, and efficient algorithm for animating the coupler motions of all fourbar mechanisms formed with revolute (R) and prismatic (P) joints. This is achieved without having to formulate and solve the loop closure equation for each type of fourbar linkages separately. Recently, we developed a unified algorithm for synthesizing various fourbar linkages by mapping planar displacements from Cartesian space to the image space using planar quaternions. Given a set of image points that represent planar displacements, the problem of synthesizing a planar fourbar linkage is reduced to finding a pencil of generalized manifolds (or Gmanifolds) that best fit the image points in the least squares sense. In this paper, we show that the same unified formulation for linkage synthesis leads to a unified algorithm for linkage analysis and simulation as well. Both the unified synthesis and analysis algorithms have been implemented on Apple's iOS platform.
    publisherThe American Society of Mechanical Engineers (ASME)
    titleA Unified Algorithm for Analysis and Simulation of Planar Four Bar Motions Defined With R and P Joints
    typeJournal Paper
    journal volume7
    journal issue1
    journal titleJournal of Mechanisms and Robotics
    identifier doi10.1115/1.4029295
    journal fristpage11014
    journal lastpage11014
    identifier eissn1942-4310
    treeJournal of Mechanisms and Robotics:;2015:;volume( 007 ):;issue: 001
    contenttypeFulltext
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    DSpace software copyright © 2002-2015  DuraSpace
    نرم افزار کتابخانه دیجیتال "دی اسپیس" فارسی شده توسط یابش برای کتابخانه های ایرانی | تماس با یابش
    yabeshDSpacePersian