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

摘要

A discrete total variation calculus with variable time steps is presented for mechanico-electrical systems which there exist non-potential and dissipation force. Using this discrete variation calculus and derive symplectic-energy-first integrators for mechanico-electrical systems. To do this, the time step adaptation is employed. The discrete variational principle and Euler-Lagrange equation are derived for the systems. The discrete algorithm derives that mechanico-electrical systems are non-symplectic and energy non-conservativing except when is Lagrange mechanico-electrical systems. A practical example is presented to illustrate these results.