Deformation calculation of electromagnetic Launcher’s rail subjected to exponential magnetic pressure

Abstract:

In order to accurately calculate of the force-deformation of electromagnetic launcher’s rail for the purpose of extending the rail life and improving the firing accuracy,the electromagnetic launcher’s rail was modeled as a simply supported beam on elastic foundation by moving load.The mechanical model of the beam was built by using Euler beam theory,and the analytical solution to the equation subjected to exponential magnetic pressure was derived,which can avoid the errors resulting from the uniform pressure used to replace the variable force.The influence of the elastic coefficient,the damping coefficient,the mass of rail and the load’ s velocity on the deformation of beam was numerically analyzed with MATLAB.The result shows that the elastic coefficient and the load’s velocity have obvious effect on the deformation of the beam,while the damping coefficient and the mass of rail do not.The study lays a foundation for solving the electromagnetic launcher’s rail subjected to magnetic pressure of arbitrary function and promoting the practicality of the electromagnetic guns.