摘要:
针对传统弹道预测方法计算成本高、难以满足快速评估需求的问题,本文提出了基于卷积神经网络(Convolutional Neural Network,CNN)的多层混凝土薄靶侵彻弹道高效预测模型。首先基于经过试验验证的数值模拟方法,分析并明确了弹体角速度对弹道偏转的重要影响,进而将其作为重要的弹靶交会条件,通过系统调整初始参数构建了包含127组工况的单层混凝土薄靶侵彻数据集。在此基础上,建立了以弹体参数、靶体参数、弹靶交会条件为输入,弹体靶后运动参数为输出的高精度单层靶侵彻弹道预测模型,并进一步结合弹体靶间飞行的刚体运动学方程,构建了完整的侵彻—飞行迭代预测框架,实现了多层间隔混凝土薄靶弹道特性的快速预测。研究结果表明:逆时针角速度增大会导致靶后径向剩余速度正向增大,弹道轨迹向上偏转,顺时针角速度则产生相反效应,弹体角速度是薄靶侵彻过程中不可忽略的重要参数;针对单层靶工况,预测模型训练集和测试集的平均MSE值稳定在0.0012与0.0019左右,表现出良好的预测性能;在多层靶预测中,模型在保证精度(剩余速度最大相对误差10.65%,姿态角最大绝对误差3.47°)的前提下,求解时间仅为传统数值模拟方法的0.05%。研究不仅揭示了弹体角速度这一关键因素对侵彻弹道的影响规律,更提供了一种“数据驱动+物理方程融合”的建模新范式,为武器毁伤效能评估与设计优化提供了重要的方法参考。
Abstract:
To address the high computational cost of traditional ballistic prediction methods and their difficulty in meeting rapid assessment needs, this paper proposes an efficient predictive model based on a Convolutional Neural Network (CNN) for the penetration ballistics of multi-layer thin concrete targets. First, using a numerically simulated method validated through experiments, the significant influence of projectile angular velocity on trajectory deflection was analyzed and confirmed. This parameter was subsequently identified as a key projectile-target engagement condition. By systematically adjusting initial parameters, a dataset containing 127 cases of single-layer thin concrete target penetration was constructed. Building on this, a high-precision ballistic prediction model for single-layer target penetration was developed, with projectile parameters, target parameters, and engagement conditions as inputs, and post-impact projectile motion parameters as outputs. Furthermore, by integrating rigid-body kinematic equations describing the projectile's flight between targets, a complete penetration-flight iterative prediction framework was established, enabling rapid prediction of ballistic characteristics for multi-layer spaced thin concrete targets. The results indicate that an increase in counterclockwise angular velocity leads to a positive rise in radial residual velocity behind the target and upward trajectory deflection, while clockwise angular velocity produces the opposite effect. These findings clearly demonstrate that projectile angular velocity is a critical and non-negligible parameter in thin-target penetration. For single-layer target scenarios, the model demonstrated strong predictive performance, with mean MSE values for the training and test sets stabilizing around 0.0012 and 0.0019, respectively. In multi-layer target predictions, while maintaining accuracy (maximum relative error in residual velocity of 10.65% and maximum absolute error in attitude angle of 3.47°), the model's computation time was only 0.05% of that required by traditional numerical simulation methods. This study not only reveals the influence of the key factor—projectile angular velocity—on penetration ballistics but also offers a novel modeling paradigm of "data-driven + physics-equation fusion," providing an important methodological reference for weapon damage effectiveness assessment and design optimization.