Noether's theorem for nonholonomic systems of non-Chetaev's type with unilateral constraints in event space

To study the Noether's theorem of nonholonomic systems of non-Chetaev's typ e with unilateral constraints in evens space, firstly, the principle of D' Alembert-Lagrange for the systems with unilateral constraints in event spac e is presented, secondary, the Noether's theorem and the Noether's inverse theorem for the nonholonomic systems of non-Chetaev's type with unilateral constraints in event space are studied and obtained, which is based upon th e invariance of the differential variational principle under the infinitesi mal transformations of group, finally, an example is given to illustrate th e application of the result.