Kinematic Synthesis of Plane Curves

[+] Author and Article Information
D. W. Lewis, C. K. Gyory

Mechanical Engineering Department, University of Virginia, Charlottesville, Va.

J. Eng. Ind 89(1), 173-175 (Feb 01, 1967) (3 pages) doi:10.1115/1.3609993 History: Received June 17, 1966; Online August 25, 2011


The coupler point curve of a plane mechanism is a curve that may be described by a series of paired coordinates. An extension of the method of “damped least squares” provides a means for successive adjustment of the parameters which define a particular type mechanism. Repetitive application of this process will result in a convergence toward an optimum approximation to the desired curve as described by the series of paired coordinates. The method has been applied to a four-bar linkage as an example of application.

Copyright © 1967 by ASME
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