MAGNETO-THERMO-ELASTIC COUPLED DYNAMICS EQUATIONS OF AXIALLY MOVING CARRY CURRENT PLATE IN MAGNETIC FIELD

The theory of In this study, magneto-thermo-elastic coupled dynamics modeling for axially moving carry current plate in magnetic field is investigated. Considering geometric nonlinearity and thermal effect, the expressions of kinetic energy, strain energy and virtual work done by external force were derived. The nonlinear force-electro-magneto- thermo-elastic coupled vibration equations of an axially moving current-conducting thin plate were deduced for the first time in this paper by using Hamilton principle. Based on the Maxwell equations, considering the corresponding electromagnetic constitutive relations and electromagnetic boundary conditions, the electrodynamics equations and electromagnetic forces expressions of axially moving carry current thin plate in general magnetic field were derived and thermal conduction equation caused by Joule heat was also presented. Numerical example shows that magnetic field carries significant effect on the bifurcation characteristics. These results are expected to be a theoretical reference for further analysis of this case.