RESEARCH PAPERS: Mechanisms Papers

Mechanism Link Rotatability and Limit Position Analysis Using Polynomial Discriminants

[+] Author and Article Information
R. L. Williams, C. F. Reinholtz

Virginia Polytechnic Institute and State University, Blacksburg, VA 24061

J. Mech., Trans., and Automation 109(2), 178-182 (Jun 01, 1987) (5 pages) doi:10.1115/1.3267433 History: Received July 01, 1986; Online November 19, 2009


A theory is proposed for algebraically determining the limit positions of single-degree-of-freedom mechanisms. The absence of limit positions indicates that the link being considered is a fully rotating crank. This theory is applied in the present paper to the RSSR and RRSS spatial mechanisms. Conditions for spatial mechanisms analogous to Grashof’s law should be attainable using this theory. A numerical example is given to illustrate the theory.

Copyright © 1987 by ASME
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