The conservation law of second-order non-holonomic system of non-chetaev' s type

Abstract

Communicated by Ye Qingkai)AImtx'ect: The conservation law of second-order nonholonomic system of non.Chetaev' s type was studied by means of the Jourdain' s principle. The invariant condition of Yourdain' s principle under infinitesimal transformation is given by introducing Jourdain's generators. Then the conservation law of the system is obtained under certain conditions. Finally a calculating exanrple is given.