Unified symmetry of the nonholonomic system of non-Chetaev type with unilateral constraints in event space

• 来源期刊: 中国物理（英文版）
• 关键词: event space unilateral constraint unified symmetry conserved quantity
• 年，卷（期）: 2007,（6）
• 页码范围: 1521-1525
• 页数: 5页
• 语种: 英文

摘要

This paper studies the unified symmetry of a nonholonomic system of non-Chetaev type with unilateral constraints in event space under infinitesimal transformations of group. Firstly, it gives the differential equations of motion of the system. Secondly, it obtains the definition and the criterion of the unified symmetry for the system. Thirdly, a new conserved quantity, besides the Noether conserved quantity and the Hojman conserved quantity, is deduced from the unified symmetry of a nonholonomic system of non-Chetaev type with unilateral constraints. Finally, an example is given to illustrate the application of the results.