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.
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.
出处
《物理学报》
SCIE
EI
CAS
CSCD
北大核心
2009年第11期7447-7451,共5页
Acta Physica Sinica
基金
江苏省高校自然科学基金(批准号:08KJB130002)资助的课题~~
