Variational principle and dynamical equations of discrete nonconservative holonomic systems

doi:10.1088/1009-1963/15/2/002

中国物理B ›› 2006, Vol. 15 ›› Issue (2): 249-252.doi: 10.1088/1009-1963/15/2/002

Variational principle and dynamical equations of discrete nonconservative holonomic systems

刘荣万¹, 张宏彬², 陈立群²

(1)Department of Physics, Shaoguan University, Shaoguan 512005, China;Shanghai Institute of Applied Mathematics and Mechanics, Shanghai University, Shanghai 200072, China; (2)Shanghai Institute of Applied Mathematics and Mechanics, Shanghai University, Shanghai 200072, China

收稿日期:2004-11-19 修回日期:2005-08-01 出版日期:2006-02-20 发布日期:2006-02-20
基金资助:
Project supported by the National Natural Science Foundation of China (Grant No 19572018).

Variational principle and dynamical equations of discrete nonconservative holonomic systems

Liu Rong-Wan (刘荣万)^ab, Zhang Hong-Bin (张宏彬)^b, Chen Li-Qun (陈立群)^b

^a Department of Physics, Shaoguan University, Shaoguan 512005, China; ^b Shanghai Institute of Applied Mathematics and Mechanics, Shanghai University, Shanghai 200072, China

Received:2004-11-19 Revised:2005-08-01 Online:2006-02-20 Published:2006-02-20
Supported by:
Project supported by the National Natural Science Foundation of China (Grant No 19572018).

摘要/Abstract

摘要： By analogue with the methods and processes in continuous mechanics, a Lagrangian formulation and a Hamiltonian formulation of discrete mechanics are obtained. The dynamical equations including Euler--Lagrange equations and Hamilton's canonical equations of the discrete nonconservative holonomic systems are derived on a discrete variational principle. Some illustrative examples are also given.

关键词: discrete mechanics, variational principle, dynamical equation

Abstract: By analogue with the methods and processes in continuous mechanics, a Lagrangian formulation and a Hamiltonian formulation of discrete mechanics are obtained. The dynamical equations including Euler--Lagrange equations and Hamilton's canonical equations of the discrete nonconservative holonomic systems are derived on a discrete variational principle. Some illustrative examples are also given.

Key words: discrete mechanics, variational principle, dynamical equation

中图分类号: (Variational and optimization methods)

45.10.Db

45.20.Jj (Lagrangian and Hamiltonian mechanics) 45.05.+x (General theory of classical mechanics of discrete systems)

刘荣万, 张宏彬, 陈立群. Variational principle and dynamical equations of discrete nonconservative holonomic systems[J]. 中国物理B, 2006, 15(2): 249-252.

Liu Rong-Wan (刘荣万), Zhang Hong-Bin (张宏彬), Chen Li-Qun (陈立群). Variational principle and dynamical equations of discrete nonconservative holonomic systems[J]. Chinese Physics, 2006, 15(2): 249-252.

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Variational principle and dynamical equations of discrete nonconservative holonomic systems

Variational principle and dynamical equations of discrete nonconservative holonomic systems

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