The Analysis Of Magneto-Elastic Stability In The Thin Current-Carrying Plate

Pole , thin plate , thin shell in the electromagnetic elastic system ,etc. when there is no machinery to restrain, the system has an unstable movement mode at least, and while exists restrain, after up to a certain critical value in electric current or the magnetic fielding, buckling must take place in the system. So, the magnetoelastic stability analysis of the pole , thin plate , thin shell is an important theory and question of using.In the past, two following respects that the study on magnetoelastic stability theory was main and centralized : First , setting-up and revision of the soft ferromagnetism plates buckling theory model; Second, represented by the Tokamak Thermonuclear current-carrying Rector Coil, the stability of current-carrying coils and poles under magnetic field has been studied. However, it has not been seen in all documents yet that the study of stability of thin current-carrying plates and shells, etc. structure under strong magnetic field which is common occurrence to project. This text expanded the magnetoelastic stability issue of current-carrying component from coil , pole piece to thin current-carrying plates, and used special function to differentiate the critical state of losing magnetoelastic steady, the number value of getting the relevant parameter is solved .The text derives and provides the magnetoelastic movement equation of thin current-carrying plates, the geometry equations and the physics equations, the expression formula of Lorent's force, electro dynamics equation through the theory at first. On this basis, draw magnetoelastic movement stability equation of thin current-carrying plates under the effect of electric magnetic field and machinery load. Then, use Galerkin principle to put the stability equation in order for the special function the Mathieu standard form, and utilize the boundary of the Mathieu solves' steady area and unsteady area , namely special relationships of and,draw the discrimination equation of losing the magnetoelastic steady critical state. Finally, through regarding as the example concretely, relation curve between the relevant parameters while losing the magnetoelastic steady critical state were drawn in four kinds of different border conditions plate, and analyses about its change law. Have drawn the following conclusion: the intensity of magnetic field outside has a great influence to the density of the electric current of lose steady of thin current-carrying plates, and reduce the intensity of magnetic field can effectively increase the density of the electric current of lose steady,etc.