Integrating factors and conservation theorems for Hamilton's canonical equations of motion of variable mass nonholonomic nonconservative dynamical systems

doi:10.1088/1009-1963/11/8/302

中国物理B ›› 2002, Vol. 11 ›› Issue (8): 760-764.doi: 10.1088/1009-1963/11/8/302

Integrating factors and conservation theorems for Hamilton's canonical equations of motion of variable mass nonholonomic nonconservative dynamical systems

刘洋¹, 李仁杰², 乔永芬²

(1)Civil Engineering College of Harbin Engineering University, Harbin 150001, China; (2)Engineering College of Northeast Agriculture University, Harbin 150003, China

收稿日期:2001-12-31 修回日期:2002-04-10 出版日期:2002-08-12 发布日期:2005-06-12
基金资助:
Project supported by the Natural Science Foundation of Heilongjiang Province, China (Grant No 9507).

Integrating factors and conservation theorems for Hamilton's canonical equations of motion of variable mass nonholonomic nonconservative dynamical systems

Li Ren-Jie (李仁杰)^a, Qiao Yong-Fen (乔永芬)^a, Liu Yang (刘洋)^b

^a Engineering College of Northeast Agriculture University, Harbin 150003, China; ^b Civil Engineering College of Harbin Engineering University, Harbin 150001, China

Received:2001-12-31 Revised:2002-04-10 Online:2002-08-12 Published:2005-06-12
Supported by:
Project supported by the Natural Science Foundation of Heilongjiang Province, China (Grant No 9507).

摘要/Abstract

摘要： We present a general approach to the construction of conservation laws for variable mass nonholonomic nonconservative systems. First, we give the definition of integrating factors, and we study in detail the necessary conditions for the existence of the conserved quantities. Then, we establish the conservation theorem and its inverse theorem for Hamilton's canonical equations of motion of variable mass nonholonomic nonconservative dynamical systems. Finally, we give an example to illustrate the application of the results.

Abstract: We present a general approach to the construction of conservation laws for variable mass nonholonomic nonconservative systems. First, we give the definition of integrating factors, and we study in detail the necessary conditions for the existence of the conserved quantities. Then, we establish the conservation theorem and its inverse theorem for Hamilton's canonical equations of motion of variable mass nonholonomic nonconservative dynamical systems. Finally, we give an example to illustrate the application of the results.

Key words: variable mass, nonholonomic nonconservative system, Hamilton's canonical equations, integrating factor, conservation law

中图分类号: (Classical electromagnetism, Maxwell equations)

03.50.De

04.20.Fy (Canonical formalism, Lagrangians, and variational principles)

李仁杰, 乔永芬, 刘洋. Integrating factors and conservation theorems for Hamilton's canonical equations of motion of variable mass nonholonomic nonconservative dynamical systems[J]. 中国物理B, 2002, 11(8): 760-764.

Li Ren-Jie (李仁杰), Qiao Yong-Fen (乔永芬), Liu Yang (刘洋). Integrating factors and conservation theorems for Hamilton's canonical equations of motion of variable mass nonholonomic nonconservative dynamical systems[J]. Chinese Physics, 2002, 11(8): 760-764.

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Integrating factors and conservation theorems for Hamilton's canonical equations of motion of variable mass nonholonomic nonconservative dynamical systems

Integrating factors and conservation theorems for Hamilton's canonical equations of motion of variable mass nonholonomic nonconservative dynamical systems

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