Application of Symbolic Manipulation to Time Domain Analysis of Nonlinear Dynamic Systems

[+] Author and Article Information
S. Dubowsky, J. L. Grant

School of Engineering and Applied Science, University of California, Los Angeles, Calif.

J. Dyn. Sys., Meas., Control 97(1), 60-68 (Mar 01, 1975) (9 pages) doi:10.1115/1.3426874 History: Received September 09, 1974; Online July 13, 2010


The digital computer is often used to perform time domain dynamic analyses of non-linear systems. Such analyses are notoriously expensive. In many cases this expense is due to algebraic computation with the solution process. Presented is a solution approach, using modern automatic symbolic manipulation techniques, which will result in substantial computational savings for a wide class of problems. Included are guidelines based on fundamental mathematical analysis, to predict which problems will benefit from this simulation approach.

Copyright © 1975 by ASME
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