Integrating factors and conservation theorem for holonomic nonconservative dynamical systems in generalized classical mechanics

doi:10.1088/1009-1963/11/10/302

中国物理B ›› 2002, Vol. 11 ›› Issue (10): 988-992.doi: 10.1088/1009-1963/11/10/302

Integrating factors and conservation theorem for holonomic nonconservative dynamical systems in generalized classical mechanics

张耀良¹, 韩广才¹, 乔永芬²

(1)Department of Civil Engineering, Harbin Engineering University, Harbin 150001, China; (2)Engineering College of Northeast Agriculture University, Harbin 150030, China

收稿日期:2002-03-12 修回日期:2002-06-02 出版日期:2002-10-12 发布日期:2005-06-12
基金资助:
Project supported by the National Natural Science Foundation of China (Grant No 19872022).

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

Received:2002-03-12 Revised:2002-06-02 Online:2002-10-12 Published:2005-06-12
Supported by:
Project supported by the National Natural Science Foundation of China (Grant No 19872022).

摘要/Abstract

摘要： 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.

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.

Key words: generalized classical mechanics, holonomic nonconservative system, Hamilton's canonical equation, integrating factor, conservation theorem

中图分类号: (Lagrangian and Hamiltonian mechanics)

45.20.Jj

02.30.Zz (Inverse problems)

乔永芬, 张耀良, 韩广才. Integrating factors and conservation theorem for holonomic nonconservative dynamical systems in generalized classical mechanics[J]. 中国物理B, 2002, 11(10): 988-992.

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[J]. Chinese Physics, 2002, 11(10): 988-992.

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Integrating factors and conservation theorem for holonomic nonconservative dynamical systems in generalized classical mechanics

Integrating factors and conservation theorem for holonomic nonconservative dynamical systems in generalized classical mechanics

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