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

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.