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

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.