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为解决电磁发射轨道发射精度不够高及炮筒使用年限不够长的难题,将电磁炮发射轨道模拟为移动载荷作用下弹性基础上的简支梁,利用欧拉梁理论建立了梁的力学模型;借助积分变换及逆变换和计算留数等方法,推导出简谐压力作用下轨道梁瞬态响应解析解;借助MATLAB软件分析了粘滞外阻尼系数、摩擦阻尼系数、弹性系数对梁的瞬态动力响应的影响。计算分析表明:轨道梁的挠度随黏滞外阻尼系数的增大而减小;随着材料应变阻尼系数的增大而增大;而弹性系数对挠度的影响不太明显,挠度曲线随着弹性系数的增加而呈下降的趋势。
In order to solve the problem that the launch accuracy of the electromagnetic launch track is not high enough and the service life of the barrel is not long enough, the launch trajectory of the electromagnetic gun is simulated as a simply supported beam on the basis of the elastic load under the action of moving loads. The beam mechanical model is established by Euler beam theory. With the help of integral transformation, inverse transformation and calculation of residuals, the analytical solution of transient response of orbital beam under simple harmonic pressure is deduced. By means of MATLAB software, the influences of viscous external damping coefficient, frictional damping coefficient and elastic coefficient on the transient Effect of dynamic response. The calculation and analysis show that the deflection of the track beam decreases with the increase of the coefficient of viscous damping, and increases with the increase of the strain damping coefficient of the material. However, the effect of the coefficient of elasticity on the deflection is not obvious. Coefficient increases with a downward trend.