弹管横向碰撞对身管动力响应的影响

Effect of Lateral Impact Between Projectile and Barrel on Dynamic Response of Tube

研究了火炮射击过程中弹管间隙和加速移动质量对身管振动的影响,利用接触、碰撞模型描述了弹丸与身管之间的作用过程,把身管简化成等截面悬臂梁,根据Bernouli-Euler初等梁理论建立了身管振动方程,用模态分析法求解了身管振动方程.计算结果表明:考虑弹管间隙后身管振动幅度比不考虑间隙时要大得多,由于非线性方程的解对初始条件敏感,弹丸起始位置的变化对身管炮口位移的影响较大.所建模型基本上描述了系统的动态特性,为研究弹炮耦合问题提供了一种简捷、有效的方法.

The effect of windage and accelerated moving mass on tube vibration at the firing process of gun was studied. The contact and impact model was used to describe the coupling effect between the moving projectile and tube. The tube was modeled as a cantilever beam under a moving force. According to the Bernouli-Euler beam theory, the tube vibration function was established which was solved by modal analysis method. The calculated results indicate that considering the windage, the tube amplitude is larger than that under no considering the windage. Due to the sensitivity of the solution of the non-linear function to initial condition, the change of the projectile initial position has an important effect on the muzzle displacement of tube. The mathematical model basically describes its dynamic characteristics. The method offers a simple and efficient way for studying the coupling problem between projectile and gun.