单面Chetaev型非完整力学系统Appell方程的Mei对称性与新型守恒量  

The Mei Symmetry and New Conserved Quantities of Appell Equation for A Nonholonomic Mechanical System of Chetaev′type with Unilateral Constraints

作　　者：徐超 李元成 刘晓巍 

机构地区：[1]中国石油大学(华东)理学院,山东青岛266555 [2]大同华润燃气有限公司,山西大同037009

出　　处：《江西科学》2012年第6期710-713,729,共5页Jiangxi Science

基　　金：中国石油大学(华东)自主创新基金(编号:11CX06088A)

摘　　要：研究单面Chetaev型非完整力学系统Appell方程的Mei对称性,给出单面Chetaev型非完整力学系统Appell方程的Mei对称性确定方程,新型结构方程,限制方程和附加限制方程,得到对称性导致的新型守恒量,并举例说明结果的应用。The Mei symmetry and conserved quantities of Appell equation for a nonholonomic me- chanical system of Chetaev＇type with unilateral constraints are studied. On the base of the Appell e- quation for a nonholonomic mechanical system of Chetaev＇ type with unilateral constraints, we first give the Mei symmetry for the equation and the conserved quantities deduced from them, then the definition and the criterion for Mei symmetry of Appell equation are presented, lastly, the conserved quantity deduced from the Mei symmetry are obtained. An example is given to illustrate the applica- tion of the result.

关 键 词：单面非完整系统 APPELL方程 MEI对称性 新型守恒量 

分 类 号：O316[理学—一般力学与力学基础]