弹丸与身管耦合振动问题的迭代解法

为实现弹丸与身管耦合振动模型的快速准确数值计算，提出了弹丸与身管耦合振动问题的迭代求解方法。在分析弹丸与身管耦合振动动力学特性基础上，通过将弹丸在身管内运动时间离散化，实现了耦合振动连续过程离散化。基于微分方程理论，利用迭代计算方法对弹丸在身管内运动时对身管上各个点引起的耦合振动进行求解，进而求解出弹丸连续移动时对身管引起的耦合振动。在考虑弹丸惯性效应和梁的曲率变化条件下，构建了迭代解法的程式化流程，使得该方法更加易于实现数值计算。利用该方法对弹丸与身管耦合振动模型进行数值求解，结果表明该解法能快速有效地实现对弹丸与身管耦合振动问题的求解。

An Iterative Solution of Projectile-barrel Coupling Problem

An iterative solution method for projectile-barrel coupling vibration problem is proposed for better numerical calculation of the projectile-barrel coupling vibration model. Through the kinetic analysis of the projectile-barrel coupling vibration, the continuous process of coupling vibration is discretized by discretizing the movement time of projectile in the barrel. Based on the theory of differential equations, the iterative method is used to solve the vibration of each point on the barrel when the projectile passes through the barrel, and then the continuous vibration caused by projectile moving is solved. Under the condition of the inertia effect of projectile and the curvature change of beam, constructing a stylized process for iterative solutions makes the method easier to implement numerical calculations. The proposed method is used to numerically solve the projectile-barrel coupling vibration model. The results show that this solution can quickly and effectively solve the problem of projectile-barrel coupling vibration.