双模成型装药战斗部药型罩结构的正交设计

王彦盛; 李伟兵; 黄炫宁; 王晓鸣

doi:10.11858/gywlxb.20200537

双模成型装药战斗部药型罩结构的正交设计

doi: 10.11858/gywlxb.20200537

南京理工大学智能弹药技术国防重点学科实验室，江苏南京　210094

基金项目: 国家自然科学基金（11972018）；装备预研兵器工业联合基金（6141B012858）

详细信息

作者简介:
王彦盛（1998－），男，本科，主要从事弹药研究. E-mail：514270553@qq.com

通讯作者:
李伟兵（1982－），男，博士，副研究员，博士生导师，主要从事终点效应与目标毁伤技术研究. E-mail： njustlwb@163.com

中图分类号: O385; TJ410.33
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出版历程
- 收稿日期: 2020-04-07
- 修回日期: 2020-04-26
- 刊出日期: 2020-06-25

Orthogonal Design of the Liner Structure in Dual-Mode Charge Warhead

ZNDY of Ministerial Key Laboratory, Nanjing University of Science and Technology, Nanjing 210094, Jiangsu, China

摘要

摘要: 针对双模战斗部小型化设计及其应用问题，利用LS-DYNA仿真软件，研究了双模战斗部药型罩结构参数（药型罩锥角、药型罩壁厚）对双模毁伤元成型性能的影响规律，揭示了各结构参数对双模毁伤元成型性能的控制规律：随着药型罩锥角和壁厚的增大，双模毁伤元的头部速度下降明显。结合正交设计方法，确定了药型罩壁厚是决定两毁伤元头部速度差的主要因素，锥角是决定各毁伤元头部速度的主要因素。得到了双模毁伤元成型性能均较佳的药型罩结构参数组合：药型罩锥角为80°，药型罩上端壁厚为5.0 mm，药型罩下端壁厚为4.0 mm，药型罩倒角弧度半径为10.0 mm。为验证模拟结果，进行了X射线成像试验，数值模拟结果与试验结果吻合较好。研究结果可为双模战斗部的进一步优化设计提供参考依据。
- 双模战斗部 /
- 药型罩 /
- 正交设计 /
- 参数优化
Abstract: The influence of structural parameters (liner cone and thickness) of dual-mode warhead on the forming performance of dual-mode damage element is studied by LS-DYNA for the miniaturization design and application of dual-mode warhead, and the results reveal that the head speed of dual-mode damage element obviously decreases with the increase of liner cone and thickness. By the orthogonal design method, it is found that the thickness of the liner is the main factor to determine the head velocity difference between the two damage elements, and the liner cone is the main factor to determine the head velocity of each damage element. The structural parameters combination of the liner is obtained as following, whose forming performance of the dual-mode damage element is better. The liner cone is 80°, the thickness of the upper end of the liner is 5.0 mm, the thickness of the lower end of the liner is 4.0 mm, and the liner radian radius is 10.0 mm. X-ray imaging tests were done, whose results show a quantitatively good agreement between numerical simulation and tests. The research results provide a reference for the further optimization design of the dual-mode warhead.
- dual-mode warhead /
- liner /
- orthogonal design /
- parameter optimization

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图 1 成型装药结构示意图

Figure 1. Schematic of shaped charge structure

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图 2 JPC（a）和JET（b）的成型图

Figure 2. JPC (a) and JET (b) molding charts

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图 3 毁伤元头部速度随药型罩锥角的变化曲线（a）及毁伤元成型图像（b）

Figure 3. Change curve of the head velocity of the damaged element with the cone angle of the liner (a) and the corresponding damage molding chart (b)

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图 4 毁伤元头部速度与药型罩壁厚关系曲线及毁伤元成型图

Figure 4. Relationship between head velocity of damage element and liner thickness and the corresponding damage molding charts

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图 5 毁伤元头部速度与药型罩变壁厚关系曲线及毁伤元成型图

Figure 5. Relationship between head velocity of damage element and varied thickness of liner and the corresponding damage molding charts

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图 6 双模毁伤元各指标随因素水平的变化曲线

Figure 6. Change curves of each index of bimodal damage element with the level of factors

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图 7 毁伤元成型形态仿真（上）与试验结果（下）的对比

Figure 7. Comparison between simulation results (above) and X-ray pictures (below) of penetrators

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表 1 材料参数及计算模型

Table 1. Material parameters and calculation models

Component	Material	ρ/（g·cm⁻³）	Material model	Equation of state
Liner	Copper	8.960	Johnson_Cook	Grüneisen
Explosive	8701	1.695	High_Explosive_Burn	JWL
Air		1.250 × 10⁻³	Null	Grüneisen

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表 2 药型罩结构参数仿真方案

Table 2. Simulation scheme of the structural parameters of the liner

Project	D_e/mm	L/mm	α/(°)	h/mm	h₁/mm	h₂/mm	R/mm	Initiation mode
1	100.0	0.90D_e	70−100	0.051D_e			0.10D_e	1, 2
2	100.0	0.90D_e	85, 90	0.030D_e−0.070D_e			0.10D_e	1, 2
3	100.0	0.90D_e	85		0.035D_e−0.055D_e	0.055D_e	0.10D_e	1, 2
3	100.0	0.90D_e	95		0.050D_e	0.050D_e−0.030D_e	0.10D_e	1, 2

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表 3 正交试验的各因素水平

Table 3. Factor levels in orthogonal test

Level	Factor
Level	α/(°)	h₁	h₂	R
1	80	0.03D_e	0.03D_e	0
2	85	0.04D_e	0.04D_e	0.05D_e
3	90	0.05D_e	0.05D_e	0.10D_e
4	95	0.06D_e	0.06D_e	0.15D_e
5	100	0.07D_e	0.07D_e	0.20D_e

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表 4 正交阵列各方案的计算结果

Table 4. Calculation results of orthogonal array schemes

Project	L_α	L_h1	L_h2	L_R	v_tip1/(m·s⁻¹)	v_tip2/(m·s⁻¹)	Δv/(m·s⁻¹)
1	1	1	1	1	5 211	8 289	3 078
2	1	2	2	2	4 798	8 683	3 885
3	1	3	3	3	4 436	7 384	2 948
4	1	4	4	4	4 126	6 509	2 383
5	1	5	5	5	3 836	4 992	1 156
6	2	1	2	3	4 659	8 361	3 702
7	2	2	3	4	4 320	6 900	2 580
8	2	3	4	5	4 000	5 353	1 353
9	2	4	5	1	3 741	6 741	3 000
10	2	5	1	2	4 449	7 193	2 744
11	3	1	3	5	4 220	5 982	1 762
12	3	2	4	1	3 932	6 944	3 012
13	3	3	5	2	3 648	6 629	2 981
14	3	4	1	3	4 366	6 441	2 075
15	3	5	2	4	3 980	5 356	1 376
16	4	1	4	2	3 881	7 274	3 393
17	4	2	5	3	3 582	6 035	2 453
18	4	3	1	4	4 321	5 768	1 447
19	4	4	2	5	3 894	4 957	1 063
20	4	5	3	1	3 570	6 140	2 570
21	5	1	5	4	3 519	5 439	1 920
22	5	2	1	5	4 285	5 586	1 301
23	5	3	2	1	3 648	6 309	2 661
24	5	4	3	2	3 510	5 905	2 395
25	5	5	4	3	3 217	5 144	1 927

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表 5 各指标极差

Table 5. Range of indicators

Factor	S_vtip1/(m·s⁻¹)	S_vtip2/(m·s⁻¹)	S_Δv/(m·s⁻¹)
α	845.6	1 494.8	649.2
h₁	487.6	1 304.0	816.4
h₂	861.2	766.0	408.4
R	36.8	1 762.8	1 752.6

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