First integrals of the discrete nonconservative and nonholonomic systems
Zhang Hong-Bin (张宏彬)ab, Chen Li-Qun (陈立群)a, Liu Rong-Wan (刘荣万)a
a Shanghai Institute of Applied Mathematics and Mechanics, Shanghai University, Shanghai 200072, China; b Department of Physics, Chaohu University, Chaohu 238000, China
Abstract In this paper we show that the first integrals of the discrete equation of motion for nonconservative and nonholonomic mechanical systems can be determined explicitly by investigating the invariance properties of the discrete Lagrangian. The result obtained is a discrete analogue of the generalized theorem of Noether in the Calculus of variations.
Received: 14 June 2004
Revised: 24 September 2004
Accepted manuscript online:
PACS:
45.05.+x
(General theory of classical mechanics of discrete systems)
Fund: Project supported by the National Natural Science Foundation of China (Grant No 10172056) and Science Research Foundation of the Education Bureau of Anhui Province, China (Grant No 2004kj 294).
Cite this article:
Zhang Hong-Bin (张宏彬), Chen Li-Qun (陈立群), Liu Rong-Wan (刘荣万) First integrals of the discrete nonconservative and nonholonomic systems 2005 Chinese Physics 14 238
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