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.
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.
作者
祖启航
朱建青
宋传静
ZU Qihang ZHU Jianqing SONG Chuanjing(College of Mathematics and Physics, Suzhou University of Science and Technology, Suzhou, Jiangsu 215009 College of Science, Nanjing University of Science and Technology, Nanjing 210094)
出处
《华中师范大学学报（自然科学版）》
CAS
北大核心
2017年第1期23-27,共5页
Journal of Central China Normal University：Natural Sciences
基金
国家自然科学基金项目(11572212)
苏州科技大学研究生科研创新计划项目(SKCX15_061)
