Computer-Aided Kinematic Analysis of Planar Mechanisms Based on Symbolic Pattern Matching of Independent Kinematic Loops

[+] Author and Article Information
Wei-Hua Chieng, D. A. Hoeltzel

Laboratory for Intelligent Design, Department of Mechanical Engineering, Columbia University, New York, NY 10027

J. Mech. Des 112(3), 337-346 (Sep 01, 1990) (10 pages) doi:10.1115/1.2912613 History: Received March 01, 1989; Online June 02, 2008


Based on a problem decomposition strategy and a symbolic kinematic loop pattern matching technique, a new method for planar mechanism kinematic analysis has been uncovered. Since this approach directly applies an analytical, closed form solution methodology to the planar mechanism kinematics problem, a number of significant advantages over other solution methods have been observed. Firstly, when applicable, this new approach requires significantly less cpu time as compared with traditional numerical methods, making timely mechanism animation feasible. Secondly, the new approach eliminates the effect of computer truncation error, thereby eliminating numerical approximation errors. Finally, it can be used to search for initial positions of planar mechanism with specified dimensions, thereby enabling automatic mechanism sketching.

Copyright © 1990 by The American Society of Mechanical Engineers
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