事件空间中单面非Chetaev型非完整系统的Noether定理  

Noether's Theorem for Nonholonomic Systems of Non-Chetaev's Type With Unilateral Constraints in Event Space

作　　者：李元成[1] 张毅[2] 梁景辉[3] 樊大钧 

机构地区：[1]石油大学应用物理系,山东东营257062 [2]苏州城建环保学院基础部,苏州215011 [3]山西师范大学物理系,山西临汾041004

出　　处：《应用数学和力学》2000年第5期488-494,共7页Applied Mathematics and Mechanics

基　　金：高校博士学科点专项基金资助课题

摘　　要：研究事件空间中单面非Chetaev型非完整系统的Noether定理·　首先给出了系统的D’Alem bert_Lagrange原理 ;其次基于该原理在群的无限小变换下的不变性 ,研究了非Chetaev型非完整系统的Noether定理及逆定理 ;To study the Noether's theorem of nonholonomic systems of non_Chetaev's type with unilateral constraints in event space, firstly, the principle of D'Alembert_Lagrange for the systems with unilateral constraints in event space is presented, secondly, 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 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.

关 键 词：分析力学 事件空间 非完整系统 NOETHER定理 

分 类 号：O316[理学—一般力学与力学基础]