Dynamic response of rail under a launching state of an electromagnetic rail

An armature acted by thrust moves along a rail when its drive current is switched on.At the same time,Ampere force and pressure produced by the armature are applied on the rail,and the containment placed at outside of the rail plays a role of elastic support,therefore,the rail is simplified as an elastic foundation beam.By means of 2-dimensional Fourier transformation,the general solution to the dynamic deflection of the rail under moving load was derived.Based on electromagnetic theory,heat transfer theory and basic equations of elasticity,the expression for the thrust acting on the armature,the repulsion interaction between rails and the pressure acted on the rail by the armature were deduced.Then,the specific form solution to the deflection of the rail when the electromagnetic rail was under a launching state was obtained.The influences of drive current,rail size and stiffness of containment on the dynamic response of the rail were analyzed.