电磁轨道发射状态下导轨的动态响应

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

当导轨通入电流时,电枢受到推力作用沿轨道移动;同时,电枢经过的导轨受到安培力和电枢压力的作用。由于导轨外部的外包层将对导轨起到弹性支撑的作用,因此,可将导轨简化为弹性地基梁。应用二维Fourier积分变换,导出了导轨在移动荷载作用下动态挠度的一般解。根据电磁场理论、传热学,以及弹性力学的基本方程,可以得到电枢受到的推力、导轨相互作用的斥力和电枢作用在导轨上的压力的表达式,从而得到了电磁轨道发射状态下导轨挠度解的具体形式,并且分析了通入电流、导轨尺寸、外包层刚度等参量对导轨动态响应的影响。

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.