Construction Of Mathematical Model For Different Types Of Electromagnetic Launchers With Damping Force

As a new concept weapon, the electromagnetic railgun has adopted the electromagnetic launching method, not only broke through the limitation of projectile velocity by the traditional chemical energy, but also surpassed the rate of cannon projectile greatly. Hence, it has a huge application potential in the military field. The damping force to the response of beam is ignored in recent researches of domestic and abroad. But the analysis results show that the damping force is indispensable. The electromagnetic launcher's rail can be modeled as an elastic foundation beam by moving load. In this paper Euler beam theory is applied to build the mathematical model with five kinds of boundary conditions and the solution of the equation is derived in detail. At last, a numerical experiment, which analyzes the influences brought from the damping coefficient and elastic coefficient on the transient response of beam by MATLAB software, shows that the damping coefficient and elastic coefficient have quite obvious affect on the response of the beam. It provides basis for the overall investigation of the dynamic behavior of the electromagnetic railgun.This paper includes five chapters. Chapter 1 introduces the background and the significance of research of the subject and introduces the development of the electromagnetic launcher in aspects of domestic and abroad.Chapter 2 introduces the basic principle of the electromagnetic launche, furthermore, the a mathematical model of electromagnetic launchers is built.In chapter 3, the electromagnetic launcher's rail can be modeled as a beam which is on elastic foundation with simply supported or hinged-free supported by moving load, the analytic solution and numerical solutions of equations are given respectively.In chapter 4, the electromagnetic launcher's rail can be modeled as a beam which is on elastic foundation with cantilever supported, clamped supported or clamped-hinge supported by moving load and the numerical solution of the equation is derived in detail.Chapter 5 analyzes the influences brought from the damping coefficient and elastic coefficient on the transient response of beam with five kinds of boundary conditions by MATLAB software.