Generalized Lutzky Conserved Quantities of Holonomic Systems with Remainder Coordinates Subjected to Unilateral Constraints

摘要

This paper focuses on studying the relation between a velocity-dependent symmetry and a generalizedLutzky conserved quantity for a holonomic system with remainder coordinates subjected to unilateral constraints.Thedifferential equations of motion of the system are established,and the definition of Lie symmetry for the system is given.The conditions under which a Lie symmetry can directly lead up to a generalized Lutzky conserved quantity and theform of the new conserved quantity are obtained,and an example is given to illustrate the application of the results.