Acta Armamentarii ›› 2023, Vol. 44 ›› Issue (7): 1954-1965.doi: 10.12382/bgxb.2022.0147
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LI Furong1, RONG Jili1,*(), WANG Xi2, CHEN Zichao1, WEI Zhenqian1, ZHAO Zitong1
Received:
2022-03-10
Online:
2023-07-30
Contact:
RONG Jili
LI Furong, RONG Jili, WANG Xi, CHEN Zichao, WEI Zhenqian, ZHAO Zitong. Research on Impact Resistance and Failure Modes of Pyramid Sandwich Panel Subjected to Underwater Explosion[J]. Acta Armamentarii, 2023, 44(7): 1954-1965.
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参数 | ρ0/(kg·m-3) | C/(m·s-1) | S |
---|---|---|---|
数值 | 998.5 | 1490 | 1.92 |
Table 1 Equation of state parameters for water
参数 | ρ0/(kg·m-3) | C/(m·s-1) | S |
---|---|---|---|
数值 | 998.5 | 1490 | 1.92 |
材料 | A/MPa | B/MPa | C | n | m | tm/K |
---|---|---|---|---|---|---|
6061-T6 | 293.4 | 121.2 | 0.002 | 0.23 | 1.34 | 923 |
Table 2 AL6061-T6 Johnson-Cook parameters
材料 | A/MPa | B/MPa | C | n | m | tm/K |
---|---|---|---|---|---|---|
6061-T6 | 293.4 | 121.2 | 0.002 | 0.23 | 1.34 | 923 |
测点 | 实验值/MPa | 仿真值/MPa | 误差/% |
---|---|---|---|
测点A | 62.75 | 54.91 | 12.5 |
测点B | 36.29 | 39.35 | 8.43 |
Table 3 Peak pressure comparison of points A and B
测点 | 实验值/MPa | 仿真值/MPa | 误差/% |
---|---|---|---|
测点A | 62.75 | 54.91 | 12.5 |
测点B | 36.29 | 39.35 | 8.43 |
网格尺寸/mm | 后面板中心点位移/mm | 运算时间/s |
---|---|---|
0.50 | 16.15 | 22 070 |
0.35 | 16.58 | 40 359 |
0.25 | 16.76 | 70 197 |
Table 4 Comparisons of back panel deformation and operation time under different meshes
网格尺寸/mm | 后面板中心点位移/mm | 运算时间/s |
---|---|---|
0.50 | 16.15 | 22 070 |
0.35 | 16.58 | 40 359 |
0.25 | 16.76 | 70 197 |
靶板类型 | 靶板质量/g | 靶板背部中心点位移/mm |
---|---|---|
金字塔夹芯板 | 410.5 | 16.15 |
实心铝板 | 410.5 | 26.86 |
Table 5 Deformation results of pyramid sandwich panel and solid panel
靶板类型 | 靶板质量/g | 靶板背部中心点位移/mm |
---|---|---|
金字塔夹芯板 | 410.5 | 16.15 |
实心铝板 | 410.5 | 26.86 |
飞片厚度/ mm | 飞片速度/ (m·s-1) | 杆件横截面 边长/mm | 实验结果/ mm | 仿真结果/ mm |
---|---|---|---|---|
8 | 113.07 | 1.0 | 15.85 | 16.15 |
5 | 200.96 | 2.0 | 19.38 | 19.14 |
5 | 124.32 | 3.0 | 10.60 | 10.40 |
5 | 123.98 | 1.5 | 12.45 | 12.36 |
Table 6 Deformations of sandwich panels with different thickness
飞片厚度/ mm | 飞片速度/ (m·s-1) | 杆件横截面 边长/mm | 实验结果/ mm | 仿真结果/ mm |
---|---|---|---|---|
8 | 113.07 | 1.0 | 15.85 | 16.15 |
5 | 200.96 | 2.0 | 19.38 | 19.14 |
5 | 124.32 | 3.0 | 10.60 | 10.40 |
5 | 123.98 | 1.5 | 12.45 | 12.36 |
参数 | 夹芯板编号 | ||||||
---|---|---|---|---|---|---|---|
1 | 2 | 3 | 4 | 5 | 6 | 7 | |
前面板厚度/mm | 0.7 | 0.8 | 0.9 | 1.0 | 1.1 | 1.2 | 1.3 |
后面板厚度/mm | 1.3 | 1.2 | 1.1 | 1.0 | 0.9 | 0.8 | 0.7 |
后面板变形/mm | 16.34 | 16.72 | 17.04 | 16.15 | 16.76 | 17.88 | 18.58 |
芯层塑性应变 能/J | 288.6 | 289.0 | 292.0 | 284.7 | 281.2 | 279.1 | 262.2 |
Table 7 Deformations of sandwich panels with different thicknesses
参数 | 夹芯板编号 | ||||||
---|---|---|---|---|---|---|---|
1 | 2 | 3 | 4 | 5 | 6 | 7 | |
前面板厚度/mm | 0.7 | 0.8 | 0.9 | 1.0 | 1.1 | 1.2 | 1.3 |
后面板厚度/mm | 1.3 | 1.2 | 1.1 | 1.0 | 0.9 | 0.8 | 0.7 |
后面板变形/mm | 16.34 | 16.72 | 17.04 | 16.15 | 16.76 | 17.88 | 18.58 |
芯层塑性应变 能/J | 288.6 | 289.0 | 292.0 | 284.7 | 281.2 | 279.1 | 262.2 |
参数 | 夹芯板编号 | ||
---|---|---|---|
8 | 4 | 9 | |
前面板厚度/mm | 0.8 | 1.0 | 1.2 |
后面板厚度/mm | 0.8 | 1.0 | 1.2 |
飞片速度/m·s-1 | 92.14 | 113.07 | 133.45 |
后面板变形/mm | 13.78 | 16.15 | 16.47 |
Table 8 Deformations of sandwich panels under the same dimensionless impulse
参数 | 夹芯板编号 | ||
---|---|---|---|
8 | 4 | 9 | |
前面板厚度/mm | 0.8 | 1.0 | 1.2 |
后面板厚度/mm | 0.8 | 1.0 | 1.2 |
飞片速度/m·s-1 | 92.14 | 113.07 | 133.45 |
后面板变形/mm | 13.78 | 16.15 | 16.47 |
杆件横截面 边长/mm | 前面板位 移/mm | 后面板位 移/mm | 芯层压 缩量/mm | 芯层塑性 应变能/J | 芯层吸能 百分比/% |
---|---|---|---|---|---|
1 | 30.16 | 16.15 | 14.01 | 207.63 | 39.66 |
2 | 19.88 | 17.00 | 2.88 | 357.74 | 37.55 |
Table 9 Simulation results of different core layers under the same load
杆件横截面 边长/mm | 前面板位 移/mm | 后面板位 移/mm | 芯层压 缩量/mm | 芯层塑性 应变能/J | 芯层吸能 百分比/% |
---|---|---|---|---|---|
1 | 30.16 | 16.15 | 14.01 | 207.63 | 39.66 |
2 | 19.88 | 17.00 | 2.88 | 357.74 | 37.55 |
杆件横截面 边长/mm | 飞片速度/ (m·s-1) | 后面板位 移/mm | 芯层压缩 量/mm | 芯层塑性 应变能/J | 芯层吸能 百分比/% |
---|---|---|---|---|---|
1 | 113.07 | 16.15 | 14.01 | 207.63 | 39.66 |
2 | 141.58 | 21.06 | 4.51 | 420.01 | 31.45 |
Table 10 Results of different core layers under the same dimensionless impulse
杆件横截面 边长/mm | 飞片速度/ (m·s-1) | 后面板位 移/mm | 芯层压缩 量/mm | 芯层塑性 应变能/J | 芯层吸能 百分比/% |
---|---|---|---|---|---|
1 | 113.07 | 16.15 | 14.01 | 207.63 | 39.66 |
2 | 141.58 | 21.06 | 4.51 | 420.01 | 31.45 |
序号 | b/mm | d/mm | h/mm | u/mm | 序号 | b/mm | d/mm | h/mm | u/mm |
---|---|---|---|---|---|---|---|---|---|
1 | 1.34 | 1.09 | 10.2 | 20.5 | 31 | 1.7 | 1.76 | 15.1 | 10.5 |
2 | 1.51 | 1.54 | 10.3 | 15.4 | 32 | 1.09 | 1.8 | 15.4 | 10.3 |
3 | 1.20 | 1.84 | 10.4 | 12.1 | 33 | 1.88 | 1.55 | 15.5 | 12.2 |
4 | 1.09 | 0.90 | 10.6 | 24.5 | 34 | 1.84 | 1.31 | 15.5 | 13.8 |
5 | 1.89 | 1.27 | 10.6 | 17.3 | 35 | 1.28 | 1.74 | 15.8 | 11.2 |
6 | 1.92 | 1.45 | 10.8 | 15.4 | 36 | 1.50 | 1.49 | 16.0 | 12.0 |
7 | 1.24 | 0.96 | 11.1 | 23.3 | 37 | 1.49 | 1.69 | 16.1 | 10.8 |
8 | 1.74 | 1.19 | 11.4 | 18.2 | 38 | 1.82 | 1.01 | 16.1 | 24.1 |
9 | 1.99 | 1.86 | 11.5 | 13.7 | 39 | 1.41 | 1.01 | 16.3 | 18.7 |
10 | 1.18 | 1.29 | 11.6 | 15.0 | 40 | 1.16 | 0.98 | 16.5 | 19.5 |
11 | 1.65 | 1.40 | 11.8 | 15.4 | 41 | 1.36 | 1.08 | 16.6 | 16.3 |
12 | 1.94 | 1.61 | 12.0 | 14.7 | 42 | 1.51 | 1.41 | 16.8 | 12.1 |
13 | 1.00 | 1.55 | 12.1 | 12.8 | 43 | 1.97 | 1.60 | 17.2 | 11.2 |
14 | 1.18 | 0.94 | 12.4 | 21.7 | 44 | 1.96 | 1.78 | 17.2 | 9.80 |
15 | 1.74 | 1.52 | 12.5 | 14.1 | 45 | 1.53 | 1.58 | 17.3 | 11.3 |
16 | 1.80 | 1.11 | 12.6 | 19.0 | 46 | 1.81 | 1.35 | 17.6 | 12.5 |
17 | 1.06 | 0.95 | 12.7 | 20.0 | 47 | 1.63 | 1.22 | 18.0 | 14.5 |
18 | 1.11 | 1.44 | 12.9 | 12.8 | 48 | 1.44 | 1.85 | 18.0 | 10.0 |
19 | 1.56 | 1.40 | 13.0 | 15.0 | 49 | 1.43 | 1.70 | 18.0 | 10.8 |
20 | 1.04 | 0.95 | 13.4 | 22.3 | 50 | 1.25 | 1.67 | 18.1 | 11.5 |
21 | 1.62 | 1.26 | 13.5 | 15.7 | 51 | 1.26 | 1.49 | 18.5 | 12.5 |
22 | 1.39 | 1.23 | 13.6 | 15.6 | 52 | 1.30 | 1.13 | 18.6 | 17.2 |
23 | 1.14 | 1.43 | 13.7 | 12.5 | 53 | 1.33 | 1.34 | 18.6 | 14.2 |
24 | 1.58 | 1.17 | 13.8 | 18.2 | 54 | 1.80 | 1.11 | 18.9 | 15.9 |
25 | 1.77 | 1.89 | 14.0 | 11.1 | 55 | 1.14 | 1.06 | 19.1 | 19.0 |
26 | 1.92 | 1.20 | 14.1 | 18.2 | 56 | 1.67 | 1.03 | 19.3 | 16.4 |
27 | 1.87 | 1.67 | 14.3 | 12.1 | 57 | 1.66 | 1.89 | 19.4 | 10.0 |
28 | 1.37 | 1.37 | 14.7 | 13.3 | 58 | 1.04 | 1.81 | 19.6 | 11.3 |
29 | 1.46 | 1.19 | 14.8 | 14.7 | 59 | 1.69 | 1.64 | 19.9 | 9.98 |
30 | 1.24 | 1.75 | 14.9 | 11.0 | 60 | 1.57 | 1.63 | 19.9 | 11.7 |
Table 11 LHS sampling points and corresponding deformations results
序号 | b/mm | d/mm | h/mm | u/mm | 序号 | b/mm | d/mm | h/mm | u/mm |
---|---|---|---|---|---|---|---|---|---|
1 | 1.34 | 1.09 | 10.2 | 20.5 | 31 | 1.7 | 1.76 | 15.1 | 10.5 |
2 | 1.51 | 1.54 | 10.3 | 15.4 | 32 | 1.09 | 1.8 | 15.4 | 10.3 |
3 | 1.20 | 1.84 | 10.4 | 12.1 | 33 | 1.88 | 1.55 | 15.5 | 12.2 |
4 | 1.09 | 0.90 | 10.6 | 24.5 | 34 | 1.84 | 1.31 | 15.5 | 13.8 |
5 | 1.89 | 1.27 | 10.6 | 17.3 | 35 | 1.28 | 1.74 | 15.8 | 11.2 |
6 | 1.92 | 1.45 | 10.8 | 15.4 | 36 | 1.50 | 1.49 | 16.0 | 12.0 |
7 | 1.24 | 0.96 | 11.1 | 23.3 | 37 | 1.49 | 1.69 | 16.1 | 10.8 |
8 | 1.74 | 1.19 | 11.4 | 18.2 | 38 | 1.82 | 1.01 | 16.1 | 24.1 |
9 | 1.99 | 1.86 | 11.5 | 13.7 | 39 | 1.41 | 1.01 | 16.3 | 18.7 |
10 | 1.18 | 1.29 | 11.6 | 15.0 | 40 | 1.16 | 0.98 | 16.5 | 19.5 |
11 | 1.65 | 1.40 | 11.8 | 15.4 | 41 | 1.36 | 1.08 | 16.6 | 16.3 |
12 | 1.94 | 1.61 | 12.0 | 14.7 | 42 | 1.51 | 1.41 | 16.8 | 12.1 |
13 | 1.00 | 1.55 | 12.1 | 12.8 | 43 | 1.97 | 1.60 | 17.2 | 11.2 |
14 | 1.18 | 0.94 | 12.4 | 21.7 | 44 | 1.96 | 1.78 | 17.2 | 9.80 |
15 | 1.74 | 1.52 | 12.5 | 14.1 | 45 | 1.53 | 1.58 | 17.3 | 11.3 |
16 | 1.80 | 1.11 | 12.6 | 19.0 | 46 | 1.81 | 1.35 | 17.6 | 12.5 |
17 | 1.06 | 0.95 | 12.7 | 20.0 | 47 | 1.63 | 1.22 | 18.0 | 14.5 |
18 | 1.11 | 1.44 | 12.9 | 12.8 | 48 | 1.44 | 1.85 | 18.0 | 10.0 |
19 | 1.56 | 1.40 | 13.0 | 15.0 | 49 | 1.43 | 1.70 | 18.0 | 10.8 |
20 | 1.04 | 0.95 | 13.4 | 22.3 | 50 | 1.25 | 1.67 | 18.1 | 11.5 |
21 | 1.62 | 1.26 | 13.5 | 15.7 | 51 | 1.26 | 1.49 | 18.5 | 12.5 |
22 | 1.39 | 1.23 | 13.6 | 15.6 | 52 | 1.30 | 1.13 | 18.6 | 17.2 |
23 | 1.14 | 1.43 | 13.7 | 12.5 | 53 | 1.33 | 1.34 | 18.6 | 14.2 |
24 | 1.58 | 1.17 | 13.8 | 18.2 | 54 | 1.80 | 1.11 | 18.9 | 15.9 |
25 | 1.77 | 1.89 | 14.0 | 11.1 | 55 | 1.14 | 1.06 | 19.1 | 19.0 |
26 | 1.92 | 1.20 | 14.1 | 18.2 | 56 | 1.67 | 1.03 | 19.3 | 16.4 |
27 | 1.87 | 1.67 | 14.3 | 12.1 | 57 | 1.66 | 1.89 | 19.4 | 10.0 |
28 | 1.37 | 1.37 | 14.7 | 13.3 | 58 | 1.04 | 1.81 | 19.6 | 11.3 |
29 | 1.46 | 1.19 | 14.8 | 14.7 | 59 | 1.69 | 1.64 | 19.9 | 9.98 |
30 | 1.24 | 1.75 | 14.9 | 11.0 | 60 | 1.57 | 1.63 | 19.9 | 11.7 |
编号 | b/mm | d/mm | h/mm | 预测结 果/mm | 仿真结 果/mm | 误差/ % |
---|---|---|---|---|---|---|
1 | 1.00 | 0.90 | 20.0 | 24.05 | 24.57 | 2.12 |
2 | 2.00 | 1.89 | 19.4 | 8.67 | 8.99 | 3.56 |
3 | 1.65 | 1.50 | 20.0 | 11.15 | 11.72 | 4.86 |
4 | 1.55 | 1.38 | 20.0 | 12.35 | 12.56 | 1.67 |
5 | 1.47 | 1.30 | 20.0 | 13.41 | 13.17 | 1.82 |
Table 12 Comparison of partial optimal solution prediction and simulation values
编号 | b/mm | d/mm | h/mm | 预测结 果/mm | 仿真结 果/mm | 误差/ % |
---|---|---|---|---|---|---|
1 | 1.00 | 0.90 | 20.0 | 24.05 | 24.57 | 2.12 |
2 | 2.00 | 1.89 | 19.4 | 8.67 | 8.99 | 3.56 |
3 | 1.65 | 1.50 | 20.0 | 11.15 | 11.72 | 4.86 |
4 | 1.55 | 1.38 | 20.0 | 12.35 | 12.56 | 1.67 |
5 | 1.47 | 1.30 | 20.0 | 13.41 | 13.17 | 1.82 |
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