中国物理B ›› 2008, Vol. 17 ›› Issue (11): 3942-3952.doi: 10.1088/1674-1056/17/11/004
付 昊1, 陈本永2, 傅景礼3, 唐贻发4
Fu Jing-Li(傅景礼)a, Chen Ben-Yong (陈本永)b, Tang Yi-Fa(唐贻发)c, Fu Hao (付昊)d
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.
中图分类号: (Circuit theory)