Projectile target response model for normal penetration process based on mechanical vibration theory
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摘要: 为了给侵彻引信抗高过载优化设计提供准确的力学输入，将机械振动理论引入侵彻过程建模领域，提出了一种侵彻战斗部刚体运动与一阶轴向振动相结合的垂直侵彻弹靶作用模型。在垂直侵彻过程受力分析的基础上，基于牛顿第二定律建立了战斗部刚体运动模型，基于单自由度弹簧-质量-阻尼系统建立了战斗部一阶轴向振动模型，并采用数值积分的方法获得了垂直侵彻过程中各物理量的变化规律。和火炮试验实测加速度信号的对比分析结果表明：考虑战斗部一阶轴向振动后的垂直侵彻弹靶作用模型能更准确地描述侵彻过程，能更有效地指导侵彻引信的抗高过载优化设计。
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关键词:
- 垂直侵彻 /
- 机械振动 /
- 弹靶作用模型 /
- 弹簧-质量-阻尼系统
Abstract: In order to provide exact mechanics input for anti-high-overload optimal design of penetration fuze, the mechanical vibration theory is introduced into theoretical analysis on normal penetration and a projectile target response model combining the rigid body motion with the first order axial vibration is proposed. On the basis of force analysis for normal penetration process, a rigid body motion model for projectile is built by adopting Newton second law. The first-order axial vibration model is built based on single DOF spring-mass-damper system. Then, numerical integration calculation is carried out and the trend of each physical variable in normal penetration process is obtained. To verify the credibility of the model proposed, artillery test is carried out and the acceleration signal in the penetration process is collected. Considering that the calculated values agree well with the experimental ones, it could be concluded that the model taking axial vibration effect into account is suitable to analyze force conditions, therefore, could be applied to guide the optimal design of penetration fuze. -
图 5 垂直侵彻过程中的弹性过载变化曲线
Figure 5. Elastic acceleration curve in normal penetration process
图 7 战斗部一阶轴向振动的频率响应特性
Figure 7. Frequency response characteristics of the first order axial vibration for projectiles
表 1 每层靶的碰靶时刻
Table 1. Penetration moment of every layer target
层数 计算结果/ms 高速摄像判读结果/ms 绝对误差/ms 相对误差/% 第 1 层 0.00 0.0 0.00 − 第 2 层 4.20 4.0 0.20 5.00 第 3 层 8.30 8.0 0.30 3.75 第 4 层 12.50 12.0 0.50 4.17 第 5 层 16.85 15.9 0.95 5.97 第 6 层 21.30 20.3 1.00 4.92 第 7 层 25.90 25.0 0.90 3.60 第 8 层 30.65 29.8 0.85 2.85 
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