A type of new conserved quantity deduced from Mei symmetry for Nielsen equations in a holonomic system with unilateral constraints

作者：Han Yue-Lin; Sun Xian-Ting; Wang Xiao-Xiao; Zhang Mei-Ling; Jia Li-Qun^*

来源：Chinese Physics B, 2012, 21(12): 120201.

DOI：10.1088/1674-1056/21/12/120201

• holonomic system with unilateral constraints
• Nielsen equation
• structural equation
• new type of conserved quantity

A type of new conserved quantity deduced from Mei symmetry for Nielsen equations in a holonomic system with unilateral constraints is investigated. Nielsen equations and differential equations of motion for the holonomic mechanical system with unilateral constraints are established. The definition and the criterion of Mei symmetry for Nielsen equations in the holonomic systems with unilateral constraints under the infinitesimal transformations of Lie group are also given. The expressions of the structural equation and a type of new conserved quantity of Mei symmetry for Nielsen equations in the holonomic system with unilateral constraints are obtained. An example is given to illustrate the application of the results.

• 出版日期2012-12
• 单位平顶山学院; 江南大学