二阶非Четаев型非完整系统的守恒律

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The Conservation Law of Second-Order Nonholonomic System of Non-Chetaev’s Type

Department of Applied Physics, University of Petroleum, Dongying, Shandong 257062, P R China

摘要: 研究二阶非Четаев型完整系统的守恒律。引入Jourdain生成元,给出无限小变换下Jourdain原理的不变性条件,在一定条件下得到系统的守恒律。并举例说明结果的应用。
- Jourdain原理 /
- 非完整系统 /
- 守恒律
Abstract: The conservation law of second-order nonholonomic system of non-chetaev's type by means of the Jourdain's principle was studied.The invariant condition of Jourdain's principle under infinitesimal transformation is given by introducing Jourdain's generators.Then the conservation law of the system is obtained under certain conditions.Finally a calculating example is given.
- Jourdain’s principle /
- nonholonomic system /
- conservation law

[1]	Noether A E. Invariant variantions-probleme[J]. Nachr Aka Wiss G^Lttingen Math Phys,1918,KI,Ⅱ:235～257.
[2]	Vujanovic B. A study of conservation laws of dynamical systems by means of differential variational principle of Jourdain and Gauss[J]. Acta Mechanica,1986,65(6):63～80.
[3]	李子平. 经典和量子约束系统及其对称性质[M]. 北京:北京工业大学出版社,1993.
[4]	梅风翔. 利用Jourdain原理研究二阶非完整系统的守恒律[J]. 北京理工大学学报,1998,18(1):17～21.
[5]	梅风翔,刘端,罗勇. 高等分析力学[M]. 北京: 北京理工大学出版社,1991,76