Unified Symmetry of Nonholonomic System of Non-Chetaev’s Type with Variable Mass in Event Space

摘要

＜正＞ The unified symmetry of a nonholonomic system of non-Chetaev’s type with variable mass in event space isstudied.The differential equations of motion of the system are given.Then the definition and the criterion of the unifiedsymmetry for the system are obtained.Finally,the Noether conserved quantity,the Hojman conserved quantity,and anew type of conserved quantity are deduced from the unified symmetry of the nonholonomic system of non-Chetaev’stype with variable mass in event space at one time.An example is given to illustrate the application of the results.