Graphical Technique to Locate the Center of Curvature of a Coupler Point TrajectorySource: Journal of Mechanical Design:;2004:;volume( 126 ):;issue: 006::page 1000DOI: 10.1115/1.1798091Publisher: 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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contributor author | Gordon R. Pennock | |
contributor author | Edward C. Kinzel | |
date accessioned | 2017-05-09T00:13:45Z | |
date available | 2017-05-09T00:13:45Z | |
date copyright | November, 2004 | |
date issued | 2004 | |
identifier issn | 1050-0472 | |
identifier other | JMDEDB-27795#1000_1.pdf | |
identifier uri | http://yetl.yabesh.ir/yetl/handle/yetl/130446 | |
description 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. | |
publisher | The American Society of Mechanical Engineers (ASME) | |
title | Graphical Technique to Locate the Center of Curvature of a Coupler Point Trajectory | |
type | Journal Paper | |
journal volume | 126 | |
journal issue | 6 | |
journal title | Journal of Mechanical Design | |
identifier doi | 10.1115/1.1798091 | |
journal fristpage | 1000 | |
journal lastpage | 1005 | |
identifier eissn | 1528-9001 | |
keywords | Poles (Building) | |
keywords | Trajectories (Physics) | |
keywords | Linkages | |
keywords | Equations | |
keywords | Motion | |
keywords | Measurement AND Design | |
tree | Journal of Mechanical Design:;2004:;volume( 126 ):;issue: 006 | |
contenttype | Fulltext |