Solving the Input/Output Problem for Planar Mechanisms

[+] Author and Article Information
J. Nielsen, B. Roth

Mechanical Engineering, Design Division, Stanford University, Stanford, CA 94305-4021

J. Mech. Des 121(2), 206-211 (Jun 01, 1999) (6 pages) doi:10.1115/1.2829445 History: Received December 01, 1997; Revised February 01, 1999; Online December 11, 2007


This paper presents a method for solving the input/output problem for all planar mechanisms composed of revolute and slider joints. The solution procedure is a modification of the Dixon resultant method, which was developed to solve sets of polynomial equations; in this paper the method is applied to sets of equations which are linear in the sines and cosines of unknown angles. A particular planar multicircuit mechanism is analyzed to illustrate the solution procedure, and implementation details are discussed.

Copyright © 1999 by The American Society of Mechanical Engineers
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