关键词: 电磁发射轨道, 积分变换, 积分逆变换, 欧拉梁理论, 瞬态响应, 解析解

Abstract:

In order to solve the problem of the lower accuracy of electromagnetic emission-orbital launches and the shorter life of the barrel,The orbit of the gun fired was simulated into the simply supported beam on elastic foundation under the role of the moving load, and the mechanical model of the beam was established using the Euler beam theory. The integral transform and its inverse transform and the method of calculating the residue were used, and the transient response analytical solution of the track under the harmonic pressure was derived. The influnencing factors of the transient dynamic response of the beam outside the viscous damping coefficient, damping coefficient of friction,coefficient of elasticity were analyzed by MATLAB software. Examples showed track beam deflection decreased with the increasing of the viscous outer damping, and with the increasing of the material response of damping, while the elasticity coefficient was less obvious deflection. With the increasement of the elasticic coefficient the deflection curve was a downward trend.

Key words: electromagnetic launch trajectory, integral transformation, integral inverse transformation, Euler beam theory, transient response, analytical solution