Conservation Laws in Systems With Variable Mass

[+] Author and Article Information
L. Cveticanin

Faculty of Technical Sciences, V. Vlahovica 3, 21000 Novi Sad, Yugoslavia

J. Appl. Mech 60(4), 954-958 (Dec 01, 1993) (5 pages) doi:10.1115/1.2901007 History: Received September 04, 1992; Revised December 30, 1992; Online March 31, 2008


In this paper, a method for obtaining conservation laws of dynamic systems with variable mass is developed. It is based on Noether’s theorem to the existence of conservation laws and D’Alembert’s variational principle. In the general case, a dynamic system with variable mass is purely nonconservative. Noether’s identity for such a case is expanded by the terms that describe the mass variation. If Noether’s identity if satisfied, a conservation law exists. Two groups of systems with variable mass are considered: a nonlinear vibrating machine and a rotor with variable mass. For these systems, conservation laws are obtained using the procedure developed in this paper.

Copyright © 1993 by The American Society of Mechanical Engineers
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