非Chetaev型非完整系统的Lagrange对称性与守恒量

物理学报

2009: 非Chetaev型非完整系统的Lagrange对称性与守恒量, 物理学报, 58(11): 7447-7451.

引用本文:

2009: 非Chetaev型非完整系统的Lagrange对称性与守恒量, 物理学报, 58(11): 7447-7451.

2009: Lagrange symmetries and conserved quantities for nonholonomic systems of non-Chetaev's type, Acta Physica Sinica, 58(11): 7447-7451.

Citation:

2009: Lagrange symmetries and conserved quantities for nonholonomic systems of non-Chetaev's type, Acta Physica Sinica, 58(11): 7447-7451.

Lagrange symmetries and conserved quantities for nonholonomic systems of non-Chetaev's type

摘要: 研究非Chetaev型非完整非保守力学系统的Lagrange对称性,给出了系统的Lagrange对称性的定义和判据,得到了非Chetaev型非完整非保守力学系统的Lagrange对称性导致守恒量(第一积分)的条件及其形式.举例说明结果的应用.
- 非Chetaev型非完整约束 /
- Lagrange对称性 /
- 守恒量
Abstract: This paper "focuses on Lagrange symmetries and conserved quantities for nonconservative mechanical systems with nonholonomic constraints of non-Chetaev's type. The definition and criterion of Lagrange symmetry of the systems are given. The conditions under which a Lagrange symmetry can lead to a new conserved quantity(first integral)are obtained and the form of the new conserved quantity(first integral)is presented. Two examples are given to illustrate the application of the results.