On the Stability of Steady Motions in Free and Restrained Dynamical Systems

[+] Author and Article Information
P. Hagedorn

Technische Hochschule Darmstadt, Germany

J. Appl. Mech 46(2), 427-432 (Jun 01, 1979) (6 pages) doi:10.1115/1.3424567 History: Received March 01, 1978; Revised October 01, 1978; Online July 12, 2010


In this paper the stability of the steady motions of dynamical systems with ignorable coordinates is considered. In addition to the original “free” systems “restrained” systems are defined in such a way that the ignorable velocities remain constant for all motions. The relation between the stability behavior of these two types of systems is examined in detail and several stability and instability theorems are given for damped and undamped systems. An illustrative example deals with the steady motions of a heavy gyrostat.

Copyright © 1979 by ASME
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