CONSERVATION LAWS OF NONHOLONOMIC NONCONSERVATIVE DYNAMICAL SYSTEMS 被引量：1

CONSERVATION LAWS OF NONHOLONOMIC NONCONSERVATIVE DYNAMICAL SYSTEMS

下载PDF

导出

摘要 In this paper conservation laws of nonholonomic nonconservative dynamical systems are studied by using the differential variational principles of Jourdain and the generalized Noether's identi- ties of nonconservative systems subject to first order nonlinear nonholonomic constraints are provided. In this paper conservation laws of nonholonomic nonconservative dynamical systems are studied by using the differential variational principles of Jourdain and the generalized Noether's identi- ties of nonconservative systems subject to first order nonlinear nonholonomic constraints are provided.

作者 Liu Duan (Department of Applied Mechanics,Beijing Institute of Technology)

出处《Acta Mechanica Sinica》 SCIE EI CAS CSCD 1989年第2期167-175,共9页 力学学报（英文版）

基金 The project is supported by the National Natural Science Foundation of China.

关键词 conservation law nonholonomic constraint Noether's theorem conservation law nonholonomic constraint Noether's theorem

分类号 O3 [理学—力学]

引文网络
相关文献

参考文献11

1Prof. Dr. B. Vujanovic.A study of conservation laws of dynamical systems by means of the differential variational principles of Jourdain and Gauss[J]. Acta Mechanica . 1987 (1-4)
2Docent Dj. S. Djukic,Prof. B. D. Vujanovic.Noether’s theory in classical nonconservative mechanics[J]. Acta Mechanica . 1975 (1-2)
3Luo Yong,Zhao Yueyu. J.Beijing Inst.Technol . 1986
4Niu Qingping. Acta Mechanica Sinica . 1964
5Noether,E.Invariant Variationsprobleme. Nachrichten Gesell. Wissenschaft. Gottingen, Math.-Phys . 1918
6Li Ziping.The transformation properties of constrained system. Acta Physica Sinica . 1981
7Bahar L Y,Kwatny H G.Extension of Noether’s theorem to constrained nonconservative dynamical systems. International Journal of Non Linear Mechanics . 1987
8Zeng-rong,Liu,Wei-guo,Yao,Zhao-xuan,Zhu.The way getting into chaos for solution of weak spring Duffing equation. Journal of Applied Mathematics and Mechanics . 1986
9MEI Feng_xiang.The Mechanical Foundation of Non_Holonomic System. . 1985
10Candottie E,Palmieri C,Vitale B.On the inversion of Noether’s theorem in classical dynamical systems. American Journal of Physics . 1972

同被引文献20

1刘端.NOETHER’S THEOREM AND ITS INVERSE OF NONHOLONOMIC NONCONSERVATIVE DYNAMICAL SYSTEMS[J].Science China Mathematics,1991,34(4):419-429. 被引量：17
2罗绍凯.GENERALIZED NOETHER'S THEOREM FOR VARIABLE MASS HIGHER-ORDER NONHOLONOMIC MECHANICAL SYSTEMS IN NONINERTIAL REFERENCE FRAMES[J].Chinese Science Bulletin,1991,36(22):1930-1932. 被引量：5
3罗绍凯.变质量可控力学系统的相对论性变分原理与运动方程[J].应用数学和力学,1996,17(7):645-653. 被引量：25
4LUO Shao-Kai,GUO Yong-Xin.Lie Symmetrical Perturbation and Adiabatic Invariants of Generalized Hojman Type for Relativistic Birkhoffian Systems[J].Communications in Theoretical Physics,2007,47(1):25-30. 被引量：4
5LUO Shao-Kai,GUO Yong-Xin.Routh Order Reduction Method of Relativistic Birkhoffian Systems[J].Communications in Theoretical Physics,2007,47(2):209-212. 被引量：3
6梅凤翔.用独立变量表示的约束Birkhoff系统的运动稳定性[J].应用数学和力学,1997,18(1):55-60. 被引量：5
7梅凤翔.Birkhoff系统动力学的研究进展[J].力学进展,1997,27(4):436-446. 被引量：6
8MEI FengxiangDepartment of Applied Mechanics , Beijing Institute of Technology, Beijing 100081, China.Lie symmetry and conservation law of Birkhoffian system[J].Chinese Science Bulletin,1999,44(4):318-320. 被引量：3
9傅景礼,陈向炜,罗绍凯.转动系统相对论性动力学方程的代数结构与Poisson积分[J].应用数学和力学,1999,20(11):1175-1182. 被引量：13
10梅凤翔.Poisson's theory of Birkhoffian system[J].Chinese Science Bulletin,1996,41(8):641-645. 被引量：7

引证文献1

1罗绍凯.FORM INVARIANCE AND NOETHER SYMMETRICAL CONSERVED QUANTITY OF RELATIVISTIC BIRKHOFFIAN SYSTEMS[J].Applied Mathematics and Mechanics(English Edition),2003,24(4):468-478.

1刘荣万,傅景礼.LIE SYMMETRIES AND CONSERVED QUANTITIES OF NONCONSERVATIVE NONHOLONOMIC SYSTEMS IN PHASE SPACE[J].Applied Mathematics and Mechanics(English Edition),1999,20(6):54-59. 被引量：2
2Mei Fengxiang (Beijing Institute of Technology).PARAMETRIC EQUATIONS OF NONHOLONOMIC NONCONSERVATIVE SYSTEMS IN THE EVENT SPACE AND THE METHOD OF THEIR INTEGRATION[J].Acta Mechanica Sinica,1990,6(2):160-168. 被引量：10
3李维国,陈昆亭.On Periodic Solution of Nonconservative Systems[J].Chinese Quarterly Journal of Mathematics,1997,12(3):45-49. 被引量：2
4刘凤丽,梅凤翔.FORMULATION AND SOLUTION FOR INVERSE PROBLEM OF NONHOLONOMIC DYNAMICS[J].Applied Mathematics and Mechanics(English Edition),1993,14(4):327-332.
5乔永芬,岳庆文,董永安.NOETHER’S CONSERVATION LAWS OF HOLONOMIC NONCONSERVATIVE DYNAMICAL SYSTEMS IN GENERALIZED MECHANICS[J].Applied Mathematics and Mechanics(English Edition),1994,15(9):877-883. 被引量：2
6李仁杰,刘洋,等.Integrating factors and conservation theorems for Hamilton‘s canonical equations of motion of variable mass nonholonmic nonconservative dynamical systems[J].Chinese Physics B,2002,11(8):760-764. 被引量：8
7李树杰.PERIODIC SOLUTIONS FOR HAMILTONIANSYSTEMS IN A NONCONVEX POTENTIAL WELL[J].Acta Mathematica Scientia,1992,12(2):171-178.
8Liu Duan Luo Yong (Beijing Institute of Technology)Xin Shenyu (P.O.Box 22,Datong,Shanxi).ABOUT THE BASIC INTEGRAL VARIANTS OF HOLONOMIC NONCONSERVATIVE DYNAMICAL SYSTEMS[J].Acta Mechanica Sinica,1991,7(2):178-185. 被引量：3
9方建会,张斌,张伟伟,徐瑞莉.Mei conserved quantity directly induced by Lie symmetry in a nonconservative Hamilton system[J].Chinese Physics B,2012,21(5):11-14.
10刘翠梅,吴润衡,傅景礼.Lie symmetry algebra of one-dimensional nonconservative dynamical systems[J].Chinese Physics B,2007,16(9):2665-2670. 被引量：1

Acta Mechanica Sinica

1989年第2期

浏览历史

内容加载中请稍等...

CONSERVATION LAWS OF NONHOLONOMIC NONCONSERVATIVE DYNAMICAL SYSTEMS 被引量：1

参考文献11

同被引文献20

引证文献1

相关作者

相关机构

相关主题

浏览历史