A General Approximation Theory for Mechanism Synthesis

[+] Author and Article Information
K. C. Gupta

Department of Materials Engineering, University of Illinois, Chicago, Ill.

B. Roth

Department of Mechanical Engineering, Stanford University, Stanford, Calif.

J. Appl. Mech 42(2), 451-457 (Jun 01, 1975) (7 pages) doi:10.1115/1.3423598 History: Received August 01, 1974; Revised November 01, 1974; Online July 12, 2010


It is shown how to determine those points, in a system under planar motion, which have trajectories which over a given range best approximate circles and straight lines. These points are best approximations in the sense of having a minimum error-norm. In this work a general norm is used which results in an approximation theory which includes the least-square and mini-max approximations as special cases. Several special motions are considered in detail, and some applications to linkage design are given.

Copyright © 1975 by ASME
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