Variational principle and dynamical equations of discrete nonconservative holonomic systems |
| |
| Authors: | Liu Rong-Wan Zhang Hong-Bin and Chen Li-Qun |
| |
| Affiliation: | Department of Physics, Shaoguan University, Shaoguan 512005, China; 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. |
| |
| Keywords: | discrete mechanics variational principle dynamical equation |
| 本文献已被 维普 等数据库收录！ |
| 点击此处可从《中国物理 B》浏览原始摘要信息 |
|
点击此处可从《中国物理 B》下载免费的PDF全文 |
|
