The Mathematical Model And Dynamic Response Of Electromagnetic Launcher's Rail Under Different Magnetic Pressure

With the development of new technology produced Electromagnetic Launch, Wetry to launch the projectile at high speed, high-precisionand massive-missile. But thelifetime of Electromagnetic Launch becomes the new problem. So the rail life is a keyfactor in the development of Launch.The electromagnetic Launcher's rail of different platforms is modeled as elasticfoundation beams, which have different boundary conditions. The effect of moving loadof different types is modeled as different functions forms. The mathematical model ofbeams is established at different situations, and the analytical solution to the equation wasderived.The displacement response and velocity response of railgun are analysed, and theinfluence of parameters to dynamic response of electromagnetic Launcher's rail isresearched. The paper provides rational theory for devising, controling and choosingmaterial of electromagnetic Launcher's rail.In this paper, we mainly study three aspects as follows.Firstly, the rail of different platforms is modeled as simply supported, cantileveredand fixed supported beams. The effect of moving load of different types is modeled asharmonic, linear and constant mathematical forms. The mathematical model of beams isestablished at different situations, and the solution of dynamic response to the equationwas derived on the basis of modal superposition method.Secondly, considering the effect of viscous damping, material damping and slidingfriction damping, the rail is modeled as a simply supported beam. When the effect ofmoving load of different types is modeled as harmonic, exponential, and constantfunction, The analytical solution to the equation of mathematical model was derived inline with Green function method and integral-transform method.Finally, simulation examples is shown for the numerical simulation of dynamicresponse at different mathematical forms' magnetic pressure and mechanical condition.The displacement response and velocity response of railgun are analyzed by MATLAB software, and the influence of parameters to dynamic response of electromagneticLauncher's rail is researched.From the above research, the experimental controls is more convenience. The paperprovides rational theory and technical support for engineering practice for promoting thepractical process of electromagnetic Launcher.