Displacement and Velocity Kinematic Synthesis

[+] Author and Article Information
D. W. Lewis

Mechanical Engineering, University of Virginia, Charlottesville, Va.

G. L. Falkenhagen

Graphics Division, University of Virginia, Charlottesville, Va.

J. Eng. Ind 90(3), 527-529 (Aug 01, 1968) (3 pages) doi:10.1115/1.3604682 History: Received July 26, 1967; Online August 25, 2011


One may wish to define the velocity transformation in addition to the displacement transformation for synthesizing a mechanism. The approach presented here is essentially that noted as the “damped least squares” that allows for successive adjustment of the parameters which define a particular type mechanism. The repetitive application of this process results in a convergence toward an optimum approximation of the displacement and velocity transformation curves which are described by a series of data points. The method has been applied to a four-bar linkage as an example of application; the approach or technique is general and is not limited in use to any specific mechanism.

Copyright © 1968 by ASME
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