Symplectic-energy-first integrators of discrete mechanico-electrical dynamical systems  

作　　者：傅景礼 陈本永 唐贻发 付昊 

机构地区：[1]Institute of Mathematical Physics, Zhejiang Sci-Tech University [2]Faculty of Mechanical-Engineering & Automation, Zhejiang Sci-Tech University [3]State Key Laboratory of Scientific and Engineering Computing, Chinese Academy of Sciences [4]China Jingye Engineering Corporation Limited, Shenzhen Brach

出　　处：《Chinese Physics B》2008年第11期3942-3952,共11页中国物理B（英文版）

基　　金：Project supported by the National Natural Science Foundation of China (Grant Nos 10672143 and 60575055);the State Key Laboratory of Scientific and Engineering Computing, Chinese Academy of Sciences;the Natural Science Foundation of Henan Province Government, China (Grant No 0511022200)

摘　　要：A discrete total variation calculus with variable time steps is presented for mechanico-electrical systems where there exist non-potential and dissipative forces. By using this discrete variation calculus, the symplectic-energy-first integrators for mechanico-electrical systems are derived. To do this, the time step adaptation is employed. The discrete variational principle and the Euler-Lagrange equation are derived for the systems. By using this discrete algorithm it is shown that mechanico-electrical systems are not symplectic and their energies are not conserved unless they are Lagrange mechanico-electrical systems. A practical example is presented to illustrate these results.A discrete total variation calculus with variable time steps is presented for mechanico-electrical systems where there exist non-potential and dissipative forces. By using this discrete variation calculus, the symplectic-energy-first integrators for mechanico-electrical systems are derived. To do this, the time step adaptation is employed. The discrete variational principle and the Euler-Lagrange equation are derived for the systems. By using this discrete algorithm it is shown that mechanico-electrical systems are not symplectic and their energies are not conserved unless they are Lagrange mechanico-electrical systems. A practical example is presented to illustrate these results.

关 键 词：total variation symplectic-energy-momentum integrator mechanico-electrical system 

分 类 号：O316[理学—一般力学与力学基础]