【摘要】 研究具有单面完整约束的力学系统的Noether对称性与守恒量 .首先 ,建立了系统的运动方程 ;其次 ,基于Hamilton作用量在r参数有限变换群Gr 的无限小变换下的不变性 ,给出了系统的广义Noether定理及其逆定理 ;最后 ,举例说明结果的应用更多还原

【Abstract】 In this paper,the Noether symmetries and the conserved quantities for the mechanical systems with unilateral holonomic constraints are studied.First,the equations of motion of the systems are established;second,the generalized Noether’s theorem and its iverse theorem of the systems are given,which are based upon the invariant properties of the Hamiltonian action with respect to the action of the infinitestimal transformation of r parameter finite group of transformation;and finally,an examples is given to illustrate the application of the results.更多还原