Methods for Automated Dynamic Analysis of Discrete Mechanical Systems

[+] Author and Article Information
Y. O. Bayazitoglu

Department of Mechanical Engineering, Middle East Technical University, Ankara, Turkey

M. A. Chace

Department of Mechanical Engineering, The University of Michigan, Ann Arbor, Mich.

J. Appl. Mech 40(3), 809-811 (Sep 01, 1973) (3 pages) doi:10.1115/1.3423095 History: Received November 01, 1971; Revised July 01, 1972; Online July 12, 2010


The equations of motion for any discrete, lower pair mechanical system can be obtained by analyzing a branched, three-dimensional compound pendulum of indefinite length. In this paper, a set of expressions which provides the equations of motion of arbitrary mechanical dynamic systems directly as ordinary differential equations are presented. These expressions and the associated technique is applicable to linear and nonlinear unconstrained dynamic systems, kinematic systems and multidegree-of-freedom constrained systems.

Copyright © 1973 by ASME
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