Conformal invariance for nonholonomic system of Chetaev’s type with variable mass

doi:10.1007/s10483-012-1631-7

Abstract

Abstract: Conformal invariance and conserved quantities for a nonholonomic system of Chetaev’s type with variable mass are studied. The conformal factor expressions are derived. The necessary and sufficient conditions are obtained to make the system’s conformal invariance Lie symmetrical. The conformal invariance of the weak and strong Lie symmetries for the system is given. The corresponding conserved quantities of the system are derived. Finally, an application of the result is shown with an example.

Key words: nonholonomic system, variable mass, conformal invariance, conserved quantity, polar continua, dynamical equations, anholonomic physical frame

2010 MSC Number:

Wei-li HUANG;Jian-le CAI. Conformal invariance for nonholonomic system of Chetaev’s type with variable mass. Applied Mathematics and Mechanics (English Edition), 2012, 33(11): 1393-1402.

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