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RESEARCH PAPERS: Mechanisms Papers

Kinematic Synthesis of a Geared Five-Bar Function Generator

[+] Author and Article Information
Arthur G. Erdman, George N. Sandor

Rensselaer Polytechnic Institute, Troy, N. Y.

J. Eng. Ind 93(1), 11-16 (Feb 01, 1971) (6 pages) doi:10.1115/1.3427859 History: Received February 09, 1970; Online July 15, 2010

Abstract

A general closed form method of planar kinematic synthesis, using complex numbers to represent link vectors, is applied to the synthesis of a geared five-bar linkage for function generation. Equations are derived and a computer program is developed to yield several solutions. Angular displacements of the input, a cycloidal crank, and the output, a simple follower, are used as linear analogs of the independent and the dependent variables, respectively. A method is demonstrated for six precision conditions (three first, three second-order precision conditions). Numerical examples are included, and the structural error of these geared five-bars are compared to that of optimized four-bar linkages generating the same functions.

Copyright © 1971 by ASME
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