Abstract：The problem of dynamics theoretical modeling for axially moving current-conducting thin plate in magnetic field is investigated and the basic magneto-elastic coupled vibration equations and corresponding relational expressions were derived. Kinetic energy, strain energy and virtual work done by external force of the thin plate are obtained when geometric nonlinearity was taken into account. The nonlinear magneto-elastic coupled vibration equations of an axially moving thin plate in magnetic field were deduced by using Hamilton principle, and boundary conditions of force and displacement were also obtained. Based on the Maxwell equations, the corresponding electromagnetic constitutive relations and boundary conditions, the electrodynamics equations and electromagnetic forces expressions of axially moving current-conducting thin plate in general magnetic field were derived. In particular, the expressions of vibration equations, electrodynamics equations and electromagnetic forces were simplified in terms of longitudinal, transverse magnetic field and strip thin plate. The results are expected to be a theoretical reference for further analysis of this case.
2013, Vol. 34 
