An Energy Theorem for Developing Testing Functions for Numerical Simulations of Dynamic Systems

[+] Author and Article Information
C. Q. Liu, R. L. Huston

Mechanical, Industrial and Nuclear Engineering, University of Cincinnati, P.O. Box 210072 Cincinnati, OH 45221-0072

J. Dyn. Sys., Meas., Control 117(2), 193-198 (Jun 01, 1995) (6 pages) doi:10.1115/1.2835179 History: Received July 15, 1993; Online January 22, 2008


This paper presents a kinetic energy theorem, applicable with simple nonholonomic systems. The theorem provides a basis for developing testing functions for measuring the accuracy of numerical simulations—even where no classical conservation principle is applicable. The theorem is established using Kane’s equations for general mechanical systems. A set of general testing functions are then developed. Several examples are presented.

Copyright © 1995 by The American Society of Mechanical Engineers
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