摘要
给出事件空间中变质量非完整系统的 Jourdain原理 ,其次引入 Jourdain无限小变换生成元。基于该原理在无限小变换群作用下的不变性 ,得到事件空间中变质量非完整系统的 Noether定理 ,并举例说明结果的应用。
First, the principle of Jourdain for the nonholonomic systems of variable mass in event space is presented. Secondly, by introducing the generators of the infinitesimal transformations of Jourdain, the Noether′s theorem for the above nonholonomic systems of variable mass in event space has been obtained, which is based upon the invariance of the differential variational principle under the infinitesimal transformations of group. Finally, an example is given to illustrate the application of the result.
出处
《甘肃科学学报》
2000年第1期24-28,共5页
Journal of Gansu Sciences
基金
教育部博士点专项基金
关键词
事件空间
变质量
非完整系统
NOETHER定理
analytical mechanics
event space
variable mass
nonholonomic constraint
principle of Jourdain
Noether′s theorem
