多目标优化算法在弹头侵彻明胶运动模拟中的应用

莫根林; 金永喜; 李忠新; 吴志林

doi:10.11883/bzycj-2017-0160

多目标优化算法在弹头侵彻明胶运动模拟中的应用

doi: 10.11883/bzycj-2017-0160

1.
江苏大学先进制造研究院, 江苏镇江 212013
2.
中国兵器工业第208研究所瞬态冲击技术重点实验室, 北京 102202
3.
南京理工大学机械工程学院, 江苏南京 210094

基金项目:

国家自然科学基金项目 11372137

国防科技重点实验室基金项目 162606013

详细信息

作者简介:
莫根林(1987-), 男, 博士, 助理研究员

通讯作者:
吴志林, wuruinan-1994@njust.edu.cn

中图分类号: O385
计量
- 文章访问数: 4765
- HTML全文浏览量: 1512
- PDF下载量: 42
- 被引次数: 0
出版历程
- 收稿日期: 2017-05-05
- 修回日期: 2017-10-27
- 刊出日期: 2018-11-25

Application of multi-objective optimization algorithm to motional simulation of bullets penetrating ballistic gelatin

1.
Advanced Manufacturing Institute, Jiangsu University, Zhenjiang 212013, Jiangsu, China
2.
Key Laboratory of Transient Impact Technology, No. 208 Research Institute of China Ordnance Industrie, Beijing 102202, China
3.
School of Mechanical Engineering, Nanjing University of Science and Technology, Nanjing 210094, Jiangsu, China

摘要

摘要: 为使弹道模型更好地模拟弹头侵彻明胶的运动规律，从而有助于揭示弹头对人体组织的致伤机理，以弹头水平位移、竖直位移、侧向位移、俯仰角以及偏航角理论值的均方根误差作为目标函数组，以弹头的待定初始运动参数和弹道模型的待定力学系数作为优化变量，通过Gamultiobj多目标遗传算法获得了的优化变量的Pareto解集，并通过TOPSIS综合分析方法获得了Pareto解集的最优解。研究结果表明该方法能够快速获得可信性较强的最优解，使最优解能较好地模拟7.62 mm步枪弹侵彻明胶的运动过程。
- 多目标优化 /
- 步枪弹 /
- 明胶 /
- 侵彻
Abstract: To find out about the wounding mechanisms of bullets penetrating human bodies, we simulated in this work the processes of bullets penetrating ballistic gelatin using the ballistic model. By taking the root mean squares of the theoretical errors of the horizontal displacements, the vertical displacements, the lateral displacements, the pitch angles and the yaw angles as the objective functions, treating the undetermined initial parameters of the bullet and the force coefficients in the ballistic model as the optimization variables, and using the Gamultiobj method, one of the multi-objective algorithms, we successfully found the set of the Pareto solutions to the objective functions, and selected the optimum solution to the optimization variables through the TOPSIS strategy from the Pareto solutions. Our studies show that the optimum solution is reliable and can present precise simulation of the motions of the 7.62 mm rifle bullet.
- multi-objective optimization /
- rifle bullet /
- gelatin /
- penetration

HTML全文

图 1 弹道模型全局坐标系

Figure 1. Global coordinate system of ballistic model

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图 2 欧拉角的定义

Figure 2. Euler angles

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图 3 Gamultiobj算法结构图

Figure 3. Algorithm structure of Gamultiobj

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图 4 Gamultiobj算法中的种群进化流程

Figure 4. Population evolution in Gamultiobj algorithm

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图 5 弹道实验示意图

Figure 5. Ballistic test setup

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图 6 典型时刻弹头的空间位置和姿态

Figure 6. Bullet's positions and orientations at critical moments

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图 7 弹头的各运动位移分量

Figure 7. Displacement components of the bullet

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图 8 弹头的俯仰角和偏航角

Figure 8. Pitch angles and yaw angles of the bullet

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表 1 待优化力学系数的取值范围

Table 1. Bounds of undetermined mechanical coefficients

边界	C_D0	C₁	C_L0	C_M0
下界	0	0	0	0
上界	0.1	15.0	1.0	0.2

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表 2 待优化力学系数的最优解

Table 2. Optimum solutions of undetermined mechanical coefficients

序号	C₁	C_D0	C_L0	C_M0	v_x0/ (m·s^-1)	v_y0/ (m·s^-1)	v_z0/ (m·s^-1)	θ₀/ (°)	ψ₀/ (°)	θ_t0/ (rad·s^-1)	ψ_t0/ (rad·s^-1)	φ_t0/ (rad·s^-1)
1	7.49	0.058 6	0.636	0.064 7	-22.4	-14.20	713	1.910	68.8	1 020	1 220	15 400
2	8.89	0.066 2	0.669	0.082 9	15.3	-17.40	703	0.115	68.8	1 470	1 910	17 600
3	7.72	0.051 3	0.744	0.091 1	23.5	4.10	720	0.281	81.4	1 220	2 200	19 100
4	10.90	0.064 2	0.723	0.071 9	18.3	7.73	717	0.728	81.9	1 410	1 840	12 800
5	4.83	0.047 8	0.813	0.062 8	15.6	-16.90	715	0.682	70.5	1 750	2 260	16 900

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表 3 最优解对应的目标函数值

Table 3. Values of objective functions corresponding to optimal solutions

序号	σ(1)/mm	σ(2)/mm	σ(3)/mm	σ(4)/(°)	σ(5)/(°)
1	2.22	1.59	9.54	5.47	5.02
2	2.35	1.53	6.90	5.39	9.50
3	4.09	1.97	12.1	7.22	11.6
4	3.91	1.65	7.28	11.6	4.30
5	6.79	1.73	12.4	5.42	6.26

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