Integrating factors and conservation theorem for holonomic nonconservative dynamical systems in generalized classical mechanics
Qiao Yong-Fen (乔永芬)a, Zhang Yao-Liang (张耀良)b, Han Guang-Cai (韩广才)b
a Engineering College of Northeast Agriculture University, Harbin 150030, China; b Department of Civil Engineering, Harbin Engineering University, Harbin 150001, China
Abstract In this paper, we present a general approach to the construction of conservation laws for generalized classical dynamical systems. Firstly, we give the definition of integrating factors and, secondly, we study in detail the necessary conditions for the existence of conserved quantities. Then we establish the conservation theorem and its inverse for the Hamilton's canonical equations of motion of holonomic nonconservative dynamical systems in generalized classical mechanics. Finally, we give an example to illustrate the application of the results.
Received: 12 March 2002
Revised: 02 June 2002
Accepted manuscript online:
Fund: Project supported by the National Natural Science Foundation of China (Grant No 19872022).
Cite this article:
Qiao Yong-Fen (乔永芬), Zhang Yao-Liang (张耀良), Han Guang-Cai (韩广才) Integrating factors and conservation theorem for holonomic nonconservative dynamical systems in generalized classical mechanics 2002 Chinese Physics 11 988
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