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    A Computer Method for the Finite Displacement Problem in Spatial Mechanisms

    Source: Journal of Mechanical Design:;1982:;volume( 104 ):;issue: 004::page 869
    Author:
    J. A. Tárrago
    ,
    C. Bastero
    ,
    J. García de Jalón
    ,
    M. A. Serna
    DOI: 10.1115/1.3256450
    Publisher: The American Society of Mechanical Engineers (ASME)
    Abstract: In this paper, a new method for the numerical solution of the finite displacement problem in spatial mechanisms with revolute (R), cylindrical (C), spherical (S), and prismatic (P) pairs is presented. It is based on the use of special points’ coordinates as Lagrangian coordinates of the mechanism. The kinematic constraint equations are imposed as constant distances, areas, and volumes of segments, triangles, and tetrahedrons determined by those points. The system of nonlinear equations is solved via the Gauss-Newton variation of the Least Squares Method. Finally, three examples are presented in which the good convergence properties of the method can be seen.
    keyword(s): Computers , Displacement , Mechanisms , Equations AND Nonlinear equations ,
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      A Computer Method for the Finite Displacement Problem in Spatial Mechanisms

    URI
    http://yetl.yabesh.ir/yetl1/handle/yetl/96151
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    • Journal of Mechanical Design

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    contributor authorJ. A. Tárrago
    contributor authorC. Bastero
    contributor authorJ. García de Jalón
    contributor authorM. A. Serna
    date accessioned2017-05-08T23:13:56Z
    date available2017-05-08T23:13:56Z
    date copyrightOctober, 1982
    date issued1982
    identifier issn1050-0472
    identifier otherJMDEDB-28003#869_1.pdf
    identifier urihttp://yetl.yabesh.ir/yetl/handle/yetl/96151
    description abstractIn this paper, a new method for the numerical solution of the finite displacement problem in spatial mechanisms with revolute (R), cylindrical (C), spherical (S), and prismatic (P) pairs is presented. It is based on the use of special points’ coordinates as Lagrangian coordinates of the mechanism. The kinematic constraint equations are imposed as constant distances, areas, and volumes of segments, triangles, and tetrahedrons determined by those points. The system of nonlinear equations is solved via the Gauss-Newton variation of the Least Squares Method. Finally, three examples are presented in which the good convergence properties of the method can be seen.
    publisherThe American Society of Mechanical Engineers (ASME)
    titleA Computer Method for the Finite Displacement Problem in Spatial Mechanisms
    typeJournal Paper
    journal volume104
    journal issue4
    journal titleJournal of Mechanical Design
    identifier doi10.1115/1.3256450
    journal fristpage869
    journal lastpage874
    identifier eissn1528-9001
    keywordsComputers
    keywordsDisplacement
    keywordsMechanisms
    keywordsEquations AND Nonlinear equations
    treeJournal of Mechanical Design:;1982:;volume( 104 ):;issue: 004
    contenttypeFulltext
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    DSpace software copyright © 2002-2015  DuraSpace
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