YaBeSH Engineering and Technology Library

    • Journals
    • PaperQuest
    • YSE Standards
    • YaBeSH
    • Login
    View Item 
    •   YE&T Library
    • ASME
    • Journal of Mechanisms and Robotics
    • View Item
    •   YE&T Library
    • ASME
    • Journal of Mechanisms and Robotics
    • View Item
    • All Fields
    • Source Title
    • Year
    • Publisher
    • Title
    • Subject
    • Author
    • DOI
    • ISBN
    Advanced Search
    JavaScript is disabled for your browser. Some features of this site may not work without it.

    Archive

    Advances in the Theory of Planar Curve Cognates

    Source: Journal of Mechanisms and Robotics:;2021:;volume( 014 ):;issue: 003::page 31005-1
    Author:
    Sherman, Samantha N.
    ,
    Hauenstein, Jonathan D.
    ,
    Wampler, Charles W.
    DOI: 10.1115/1.4052806
    Publisher: The American Society of Mechanical Engineers (ASME)
    Abstract: Cognate linkages provide the useful property in mechanism design of having the same motion. This paper describes an approach for determining all coupler curve cognates for planar linkages with rotational joints. Although a prior compilation of six-bar cognates due to Dijksman purported to be a complete list, that analysis assumed, without proof, that cognates only arise by permuting link rotations. Our approach eliminates that assumption using arguments concerning the singular foci of the coupler curve to constrain a cognate search and then completing the analysis by solving a precision point problem. This analysis confirms that Dijksman’s list for six-bars is comprehensive. As we further demonstrate on an eight-bar and a ten-bar example, the method greatly constrains the set of permutations of link rotations that can possibly lead to cognates, thereby facilitating the discovery of all cognates that arise in that manner. However, for these higher order linkages, the further step of using a precision point test to eliminate the possibility of any other cognates is still beyond our computational capabilities.
    • Download: (413.9Kb)
    • Show Full MetaData Hide Full MetaData
    • Get RIS
    • Item Order
    • Go To Publisher
    • Price: 5000 Rial
    • Statistics

      Advances in the Theory of Planar Curve Cognates

    URI
    http://yetl.yabesh.ir/yetl1/handle/yetl/4285492
    Collections
    • Journal of Mechanisms and Robotics

    Show full item record

    contributor authorSherman, Samantha N.
    contributor authorHauenstein, Jonathan D.
    contributor authorWampler, Charles W.
    date accessioned2022-05-08T09:42:53Z
    date available2022-05-08T09:42:53Z
    date copyright11/16/2021 12:00:00 AM
    date issued2021
    identifier issn1942-4302
    identifier otherjmr_14_3_031005.pdf
    identifier urihttp://yetl.yabesh.ir/yetl1/handle/yetl/4285492
    description abstractCognate linkages provide the useful property in mechanism design of having the same motion. This paper describes an approach for determining all coupler curve cognates for planar linkages with rotational joints. Although a prior compilation of six-bar cognates due to Dijksman purported to be a complete list, that analysis assumed, without proof, that cognates only arise by permuting link rotations. Our approach eliminates that assumption using arguments concerning the singular foci of the coupler curve to constrain a cognate search and then completing the analysis by solving a precision point problem. This analysis confirms that Dijksman’s list for six-bars is comprehensive. As we further demonstrate on an eight-bar and a ten-bar example, the method greatly constrains the set of permutations of link rotations that can possibly lead to cognates, thereby facilitating the discovery of all cognates that arise in that manner. However, for these higher order linkages, the further step of using a precision point test to eliminate the possibility of any other cognates is still beyond our computational capabilities.
    publisherThe American Society of Mechanical Engineers (ASME)
    titleAdvances in the Theory of Planar Curve Cognates
    typeJournal Paper
    journal volume14
    journal issue3
    journal titleJournal of Mechanisms and Robotics
    identifier doi10.1115/1.4052806
    journal fristpage31005-1
    journal lastpage31005-9
    page9
    treeJournal of Mechanisms and Robotics:;2021:;volume( 014 ):;issue: 003
    contenttypeFulltext
    DSpace software copyright © 2002-2015  DuraSpace
    نرم افزار کتابخانه دیجیتال "دی اسپیس" فارسی شده توسط یابش برای کتابخانه های ایرانی | تماس با یابش
    yabeshDSpacePersian
     
    DSpace software copyright © 2002-2015  DuraSpace
    نرم افزار کتابخانه دیجیتال "دی اسپیس" فارسی شده توسط یابش برای کتابخانه های ایرانی | تماس با یابش
    yabeshDSpacePersian