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RESEARCH PAPERS

Synthesis of Path-Generating Mechanisms by Numerical Methods

[+] Author and Article Information
Bernard Roth

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

Ferdinand Freudenstein

Department of Mechanical Engineering, Columbia University, New York, N. Y.

J. Eng. Ind 85(3), 298-304 (Aug 01, 1963) (7 pages) doi:10.1115/1.3669870 History: Received July 30, 1962; Online December 09, 2011

Abstract

Algebraic methods in kinematic synthesis are extended to cases in which the development of iterative numerical procedures are required. Algorithms are developed for the numerical solution of nonlinear, simultaneous, algebraic equations. Convergence is obtained without the need for a “good” initial approximation. The theory is applied to the nine-point path synthesis of geared five-bar motion, in terms of which four-bar motion may be considered as a special case.

Copyright © 1963 by ASME
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