中文摘要：

研究了时间尺度上相空间中非Chetaev型非完整力学系统的Noether理论.首先,基于Hamilton原理,建立了时间尺度上非Chetaev型非完整力学系统的Hamilton方程;其次,根据时间尺度上Hamilton作用量在无限小变换下的广义准不变量,得到了时间尺度上相空间中非Chetaev型非完整力学系统的Noether等式和守恒量;最后,举例说明结果的应用.

英文摘要：

The Noether theorem for nonholonomie systems of non-Chetaev＇s type in phase space is studied. Firstly, based on the principle of Hamilton, the Hamilton equa- tions for nonholonomic mechanical system of non-Chetaev＇s type on the time scale are established. Secondly, based on the generalized quasi invariance of the Hamilton action on time scale, the Noether identity and the conserved quantity of nonholonomic mechan- ical system of non-Chetaev＇s type in the phase space on time scale are obtained. Finally, an example is presented to illustrate the application of the results.