A new type of conserved quantity of Mei symmetry for relativistic nonholonomic mechanical system in phase space

In this paper, a new type of conserved quantity induced directly from the Mei symmetry for a relativistic nonholonomic mechanical system in phase space is studied. The definition and the criterion of the Mei symmetry for the system are given. The conditions for the existence and form of the new conserved quantity are obtained. Finally, an example is given to illustrate the application of the result.     

A New type of conserved quantity deduced from Mei symmetry of nonholonomic systems in terms of quasi-coordinates

This paper studies the new type of conserved quantity which is directly induced by Mei symmetry of nonholonomic systems in terms of quasi-coordinates. A coordination function is introduced, and the conditions for the existence of the new conserved quantities as well as their forms are proposed. Some special cases are given to illustrate the generalized significance of the new type conserved quantity. Finally, an illustrated example is given to show the application of the nonholonomic system's results.     

Perturbation to Mei Symmetry and Generalized Mei Adiabatic Invariants for Nonholonomic Systems in Terms of Quasi-Coordinates

By introducing the coordination function f, the generalized Mei conserved quantities for the nonholonomic systems in terms of quasi-coordinates are given. Then based on the concept of adiabatic invariant, the perturbation to Mei symmetry and the generalized Mei adiabatic invariants for nonholonomic systems in terms of quasi-coordinates are studied.     

Lie symmetry and Hojman conserved quantity of Nambu system

This paper studies the Lie symmetry and Hojman conserved quantity of the Nambu system. The determining equations of Lie symmetry for the system are given. The conditions for existence and the form of the Hojman conserved quantity led by the Lie symmetry for the system are obtained. Finally, an example is given to illustrate the application of the results.     

一种灯饰外罩的剪切与拉深旋压组合工艺

针对一种带有锥面与圆柱面组合形状特征的灯饰外罩,提出了采用剪切旋压结合多道次拉深旋压的组合方法进行成形,并对相应的工艺特点进行分析,为实际生产提供理论依据.研究中,通过板坯尺寸参数的计算与多道次旋轮路径的设计,确定了旋压试验方案,并在此基础上开展组合旋压的工艺试验,检验了灯饰外罩旋压件的形貌尺寸,并进一步分析了锥面与圆柱面部分的壁厚分布,发现锥面部分壁厚分布符合剪切旋压规律,圆柱面部分壁厚分布呈先小后大趋势,并揭示其原因.