RESEARCH PAPERS: Mechanisms Papers

Kinematic Geometry Associated With the Least-Square Approximation of a Given Motion

[+] Author and Article Information
Y. L. Sarkisyan

Docent Polytechnic Institute, Yerevan, U.S.S.R.

K. C. Gupta, B. Roth

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

J. Eng. Ind 95(2), 503-510 (May 01, 1973) (8 pages) doi:10.1115/1.3438183 History: Received June 06, 1972; Online July 15, 2010


The problem of finding the locus of points in a moving plane which best approximate a circle in N positions is studied. The approximation is one which minimizes the deviation of the sum of the square of the circle radius. Two ninth order curves, analogous to the circle point curves of the exact theory are derived and studied, and several numerical results are presented. These results can be applied to the synthesis of planar linkages.

Copyright © 1973 by ASME
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