A rectangular thin current-carrying plate is simply supported at each edge.Based on deriving the magnetic-elasticity dynamical buckling equation of the plate applied mechanical load in a magnet field,the equation was changed into the standard form of the Mathieu equation by using the Galerkin’s method.The magnetic-elasticity buckling problem of the plate applied mechanical load in an alternating magnet field was studied by using the solution’s stability of the Mathieu equation.As an example,a current carrying rectangular plate is simply supported at each edge in an alternating magnet field,and the curves of the relations among the relative parameters when the plate is in the situation of critical buckling are shown and compared with in an uniform magnetic field here.The conclusions show that the electro-magnetic forces may be controlled by changing the parameters of the current and the magnetic field to get the aim for controlling the buckling of the current carrying plate.
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