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
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.
Received: 19 November 2004
Revised: 01 August 2005
Accepted manuscript online:
(General theory of classical mechanics of discrete systems)
Fund: Project supported by the National Natural Science Foundation of China (Grant No 19572018).
Cite this article:
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 2006 Chinese Physics 15 249
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