CONSERVATION-LAWS IN SYSTEMS WITH VARIABLE MASS

In this paper, a method for obtaining conservation laws of dynamic sys tems with variable mass is developed. It is based on Noether's theorem to the existence of conservation laws and D'Alembert's variational pr inciple. In the general case, a dynamic system with variable mass is p urely nonconservative. Noether's identity for such a case is expanded by the terms that describe the mass variation. If Noether's identity i f satisfied, a conservation law exists. Two groups of systems with var iable mass are considered: a nonlinear vibrating machine and a rotor w ith variable mass. For these systems, conservation laws are obtained u sing the procedure developed in this paper.