物理学报Issue(3)：455-460,6.DOI:10.7498/aps.64.034502
El-Nabulsi动力学模型下非Chetaev型非完整系统的精确不变量与绝热不变量∗
Exact invariants and adiabatic invariants for nonholonomic systems in non-Chetaev’s typ e based on El-Nabulsi dynamical mo dels
摘要
Abstract
In this paper, the problem of exact invariants and adiabatic invariants for nonholonomic system in non-Chetaev’s type based on the El-Nabulsi dynamical model is studied. First, the El-Nabulsi-d’Alembert-Lagrange principle is deduced and the differential equations of motion of the system are established. Then, the relation between the Noether symmetry and the exact invariant that is led directly by the symmetry for undisturbed nonholonomic system in non-Chetaev’s type is given. Furthermore, by introducing the concept of high-order adiabatic invariant of a mechanical system, the conditions that the perturbation of symmetry leads to the adiabatic invariant and its formulation are studied for the nonholonomic system in non-Chetaev’s type under the action of small disturbance. As a special case, the problem of the exact invariants and the adiabatic invariants for the nonholonomic system in Chetaev’s type in El-Nabulsi model is discussed. At the end of the paper, two examples for the nonholonomic systems in non-Chetaev’s type constraints and also the Chetaev’s type constraints are given respectively to show the application of the methods and the results of this paper.关键词
对称性摄动/绝热不变量/非Chetaev型非完整约束/El-Nabulsi动力学模型Key words
perturbation of symmetry/adiabatic invariant/nonholonomic system in non-Chetaev’s type/El-Nabulsi dynamical model引用本文复制引用
陈菊,张毅..El-Nabulsi动力学模型下非Chetaev型非完整系统的精确不变量与绝热不变量∗[J].物理学报,2015,(3):455-460,6.基金项目
国家自然科学基金(批准号:10972151,11272227),江苏省普通高级研究生科研创新计划(批准号：CXLX13_855)和苏州科技学院研究生科研创新计划(批准号：SKCX13S_050)资助的课题.* Project supported by the National Natural Science Foundation of China (Grant Nos.10972151,11272227), the Scientific Research and Innovation Program for the Graduate Students in Institution of Higher Education of Jiangsu Province, China (Grant No. CXLX13-855), and the Scientific Research and Innovation Program for the Graduate Students of Suzhou University of Science and Technology, China (Grant No. SKCX13S-050) （批准号:10972151,11272227）
