![]() So, the electromechanical coupled nonlinear free vibration of the railgun system was studied. It causes strong electromagnetic nonlinearity in the railgun system. In operation, the rail current is quite large. For the railgun, the linear electromechanical coupled effects were considered. Besides it, the vibration experiment of the railgun with discrete supports was performed. A double layer elastic foundation beam model was proposed to investigate the dynamic responses of the rails to the moving magnetic load. ![]() The forced responses of the rail to constant velocity load and the acceleration load were studied. A 2D finite element model resting upon discrete elastic supports was used to analyze the transient performance of the railgun for a set of constant loading velocities. The transient elastic waves in the railgun and their influence on armature contact pressure were analyzed. For improving calculating accuracy, the axis-symmetric shell and two-dimensional solid models were used to study the resonance at critical velocities of the projectile. Then, the mechanical response of the railgun to the moving magnetic load was studied. The first dynamic model of the electromagnetic railgun is one-dimensional beam model on an elastic foundation. Therefore, the dynamic performance of the rail is of great importance for the railgun system. In the railgun, the vibration of the rail under the transient magnetic load may cause disturbances of the projectile trajectory. It is an attractive electromagnetic gun due to its apparent simple design and the muzzle velocities up to 2.5 km/s for masses of several hundred grams have been demonstrated experimentally. The railgun was proposed about one hundred years ago. Keywords: railgun, nonlinearity, critical velocity, electromechanical coupled. The results can be used to design dynamics performance of the railgun system. A FEM analysis package, ANSYS, is used to simulate dynamics performance of the railgun system and illustrate the analytical results about critical velocities of the railgun system. Results show that the critical velocity of the railgun system increases when the electromagnetic nonlinearity is considered, and the nonlinear critical velocity is influenced by the system parameters such as rail current, rail thickness, rail distance, etc. Besides it, the effects of the fire velocity on the nonlinear critical velocity are studied as well. Based on it, the equation of the nonlinear critical velocity of the projectile is given and the effects of the electromagnetic nonlinearity on the critical velocity of the projectile are investigated. Here, the nonlinear electromechanical coupled dynamics equations for the railgun are proposed. It corresponds to the resonance state in railgun. The nonlinear electromagnetic force can change the critical velocity of the projectile for a railgun.
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