A Hybrid Approach to Solving the Position Equations for Planar Mechanisms

[+] Author and Article Information
S. Bawab

Department of Mechanical Engineering, Old Dominion University, Norfolk, VA 23529

G. L. Kinzel

Department of Mechanical Engineering, The Ohio State University, Columbus, OH 43210

J. Mech. Des 117(4), 627-632 (Dec 01, 1995) (6 pages) doi:10.1115/1.2826731 History: Received April 01, 1995; Online December 11, 2007


In this paper, a straightforward approach is developed to solve the nonlinear position equations for a linkage when a closed-form solution to some of the equations can be obtained. This is done with the aid of dependency checking concepts that organizes a system 2n equations and 2n unknowns (variables) into smaller sets of equations. When a set of two equations and two unknowns is obtained, the variables are analyzed using a closed-form (non-iterative) solution approach. Otherwise, an iterative approach such as the Newton-Raphson method is used for the analysis.

Copyright © 1995 by The American Society of Mechanical Engineers
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