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    A Fourier Descriptor-Based Approach to Design Space Decomposition for Planar Motion Approximation

    Source: Journal of Mechanisms and Robotics:;2016:;volume( 008 ):;issue: 006::page 64501
    Author:
    Li, Xiangyun
    ,
    Wu, Jun
    ,
    Ge, Q. J.
    DOI: 10.1115/1.4033528
    Publisher: The American Society of Mechanical Engineers (ASME)
    Abstract: In an earlier work, we have combined a curve fitting scheme with a type of shape descriptor, Fourier descriptor (FD), to develop a unified method to the synthesis of planar four-bar linkages for generation of both open and closed paths. In this paper, we aim to extend the approach to the synthesis of planar four-bar linkages for motion generation in an FD-based motion fitting scheme. Using FDs, a given motion is represented by two finite harmonic series, one for translational component of the motion and the other for rotational component. It is shown that there is a simple linear relationship between harmonic content of the rotational component and that of the translational component for a planar four-bar coupler motion. Furthermore, it is shown that the rotational component of the given motion identifies a subset of design parameters of a four-bar linkage including link ratios, while the translational component determines the rest of the design parameters such as locations of the fixed pivots. This leads naturally to a decomposed design space for four-bar mechanism synthesis for approximate motion generation.
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      A Fourier Descriptor-Based Approach to Design Space Decomposition for Planar Motion Approximation

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    http://yetl.yabesh.ir/yetl1/handle/yetl/4235039
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    • Journal of Mechanisms and Robotics

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    contributor authorLi, Xiangyun
    contributor authorWu, Jun
    contributor authorGe, Q. J.
    date accessioned2017-11-25T07:18:12Z
    date available2017-11-25T07:18:12Z
    date copyright2016/09/06
    date issued2016
    identifier issn1942-4302
    identifier otherjmr_008_06_064501.pdf
    identifier urihttp://138.201.223.254:8080/yetl1/handle/yetl/4235039
    description abstractIn an earlier work, we have combined a curve fitting scheme with a type of shape descriptor, Fourier descriptor (FD), to develop a unified method to the synthesis of planar four-bar linkages for generation of both open and closed paths. In this paper, we aim to extend the approach to the synthesis of planar four-bar linkages for motion generation in an FD-based motion fitting scheme. Using FDs, a given motion is represented by two finite harmonic series, one for translational component of the motion and the other for rotational component. It is shown that there is a simple linear relationship between harmonic content of the rotational component and that of the translational component for a planar four-bar coupler motion. Furthermore, it is shown that the rotational component of the given motion identifies a subset of design parameters of a four-bar linkage including link ratios, while the translational component determines the rest of the design parameters such as locations of the fixed pivots. This leads naturally to a decomposed design space for four-bar mechanism synthesis for approximate motion generation.
    publisherThe American Society of Mechanical Engineers (ASME)
    titleA Fourier Descriptor-Based Approach to Design Space Decomposition for Planar Motion Approximation
    typeJournal Paper
    journal volume8
    journal issue6
    journal titleJournal of Mechanisms and Robotics
    identifier doi10.1115/1.4033528
    journal fristpage64501
    journal lastpage064501-5
    treeJournal of Mechanisms and Robotics:;2016:;volume( 008 ):;issue: 006
    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