Lie-form invariance of non-holonomic Systems with unilateral constraints

摘要

In this paper the Lie-form invariance of the non-holonomic systems with unilateral constraints is studied.The definition and the criterion of the Lie-form invariance of the system are given.The generalized Hojman conserved quantity and a new type of conserved quantity deduced from the Lie-form invariance are obtained.Finally, an example is presented to illustrate the application of the results.