The repulsive forces exist between the two rails when the armature is thrusted forward along the rail. At the same time the armature expands due to Joule heat, which causes rail’s vibration.The electromagnetic rail was modeled as a simply supported beam of finite length sitting on an elastic foundation. According to the theory of vibration, the dynamic response of the rail was governed by a fourthorder differential equation with an extra term of elastic support subjected to armature’s thrust. Then the parameters, such as the current intensity, the elastic constant and damping of the elastic foundation, were analyzed. The theoretical basis of the design of rail was obtained from the analysis result.
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陈铁宁,白春艳,张益男,白象忠.电枢运动引起电磁发射轨道的动态响应[J].动力学与控制学报,2010,8(4):360~364; Chen Tiening, Bai Chunyan, Zhang Yinan, Bai Xiangzhong. Dynamic response of electromagnetic railgun due to armature movement[J]. Journal of Dynamics and Control,2010,8(4):360-364.