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    Graphical Technique to Locate the Center of Curvature of a Coupler Point Trajectory

    Source: Journal of Mechanical Design:;2004:;volume( 126 ):;issue: 006::page 1000
    Author:
    Gordon R. Pennock
    ,
    Edward C. Kinzel
    DOI: 10.1115/1.1798091
    Publisher: The American Society of Mechanical Engineers (ASME)
    Abstract: This paper presents an original technique to locate the center of curvature of the path traced by an arbitrary point fixed in the coupler link of a planar four-bar linkage. The method is purely graphical and the center of curvature; i.e., the center of the osculating circle, can be located in a direct manner with few geometric constructions. The advantage of this technique, compared to the classical approach using the Euler-Savary equation, is that measurements of angles and distances between points are not required. Also, it is not necessary to locate inflection points or draw the inflection circle for the instantaneous motion of the coupler link. The technique is based on the concept of a virtual link which is valid up to, and including, the second-order properties of motion of the coupler link. The virtual link is coincident with the path normal to the coupler curve; i.e., the line connecting the coupler point to the velocity pole of the coupler link. The absolute instant center of the virtual link defines the ground pivot for the link and is, therefore, coincident with the center of the osculating circle. The authors believe that the graphical approach presented in this paper represents an important contribution to the kinematics literature on the curvature of a point trajectory.
    keyword(s): Poles (Building) , Trajectories (Physics) , Linkages , Equations , Motion , Measurement AND Design ,
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      Graphical Technique to Locate the Center of Curvature of a Coupler Point Trajectory

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    http://yetl.yabesh.ir/yetl1/handle/yetl/130446
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    contributor authorGordon R. Pennock
    contributor authorEdward C. Kinzel
    date accessioned2017-05-09T00:13:45Z
    date available2017-05-09T00:13:45Z
    date copyrightNovember, 2004
    date issued2004
    identifier issn1050-0472
    identifier otherJMDEDB-27795#1000_1.pdf
    identifier urihttp://yetl.yabesh.ir/yetl/handle/yetl/130446
    description abstractThis paper presents an original technique to locate the center of curvature of the path traced by an arbitrary point fixed in the coupler link of a planar four-bar linkage. The method is purely graphical and the center of curvature; i.e., the center of the osculating circle, can be located in a direct manner with few geometric constructions. The advantage of this technique, compared to the classical approach using the Euler-Savary equation, is that measurements of angles and distances between points are not required. Also, it is not necessary to locate inflection points or draw the inflection circle for the instantaneous motion of the coupler link. The technique is based on the concept of a virtual link which is valid up to, and including, the second-order properties of motion of the coupler link. The virtual link is coincident with the path normal to the coupler curve; i.e., the line connecting the coupler point to the velocity pole of the coupler link. The absolute instant center of the virtual link defines the ground pivot for the link and is, therefore, coincident with the center of the osculating circle. The authors believe that the graphical approach presented in this paper represents an important contribution to the kinematics literature on the curvature of a point trajectory.
    publisherThe American Society of Mechanical Engineers (ASME)
    titleGraphical Technique to Locate the Center of Curvature of a Coupler Point Trajectory
    typeJournal Paper
    journal volume126
    journal issue6
    journal titleJournal of Mechanical Design
    identifier doi10.1115/1.1798091
    journal fristpage1000
    journal lastpage1005
    identifier eissn1528-9001
    keywordsPoles (Building)
    keywordsTrajectories (Physics)
    keywordsLinkages
    keywordsEquations
    keywordsMotion
    keywordsMeasurement AND Design
    treeJournal of Mechanical Design:;2004:;volume( 126 ):;issue: 006
    contenttypeFulltext
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