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TECHNICAL PAPERS

On the Existence of Mayer’s Potential

[+] Author and Article Information
V. M. Čović, M. M. Lukačević

University of Belgrade, 27. marta 80, 11000 Belgrade, Yugoslavia

J. Appl. Mech 64(3), 606-612 (Sep 01, 1997) (7 pages) doi:10.1115/1.2788936 History: Received November 28, 1995; Revised December 22, 1996; Online October 25, 2007

Abstract

A complete solution of the well-known Mayer’s problem, which is concerned with the possibility of extending Hamilton’s principle expressed in the form valid for conservative dynamical systems to one special case of nonconservative systems (Appell, 1911), is obtained. Namely, the necessary and sufficient conditions which have to be satisfied by the coefficients of the given nonconservative generalized forces so that the Mayer’s potential (and, as a consequence, the descriptive function of the system) can be constructed, are established. This result is illustrated by an example.

Copyright © 1997 by The American Society of Mechanical Engineers
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