Acta Armamentarii ›› 2024, Vol. 45 ›› Issue (S1): 70-80.doi: 10.12382/bgxb.2024.0356
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ZHANG Kun1,2, ZHAO Changxiao1,*(), HAN Biao2, JI Chong1, ZHANG Bo2, ZHANG Kaikai2, TANG Rong2
Received:
2024-02-27
Online:
2024-11-06
Contact:
ZHAO Changxiao
CLC Number:
ZHANG Kun, ZHAO Changxiao, HAN Biao, JI Chong, ZHANG Bo, ZHANG Kaikai, TANG Rong. Numerical Simulation and Experimental Study on the Response Characteristics of Cylindrical Shell Charge under Collaborative Impact of Multiple Projectiles[J]. Acta Armamentarii, 2024, 45(S1): 70-80.
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参数 | ρ/(g·cm-3) | D/(m·s-1) | PCJ/GPa | A | B | R1 | R2 | ω | V0 |
---|---|---|---|---|---|---|---|---|---|
数值 | 1.7 | 8315 | 29.5 | 8.545 | 20.49×10-2 | 4.6 | 1.35 | 0.25 | 1.0 |
Table 1 Main parameters of 8701 explosive
参数 | ρ/(g·cm-3) | D/(m·s-1) | PCJ/GPa | A | B | R1 | R2 | ω | V0 |
---|---|---|---|---|---|---|---|---|---|
数值 | 1.7 | 8315 | 29.5 | 8.545 | 20.49×10-2 | 4.6 | 1.35 | 0.25 | 1.0 |
参数 | ρ/(g·cm-3) | G/GPa | A1 | B1 | C | m | Tm/K | Tr/K | Cv |
---|---|---|---|---|---|---|---|---|---|
高导无氧铜 | 8.968 | 46 | 0.9×10-3 | 2.92×10-3 | 0.025 | 1.09 | 1356 | 300.15 | 2.83×10-6 |
6063铝合金 | 2.7 | 27.6 | 2.65×10-3 | 4.26×10-3 | 0.015 | 1.09 | 775 | 294 | 8.75×10-6 |
Table 2 Main parameters of high conductivity oxygen free copper and 6063 aluminum alloy
参数 | ρ/(g·cm-3) | G/GPa | A1 | B1 | C | m | Tm/K | Tr/K | Cv |
---|---|---|---|---|---|---|---|---|---|
高导无氧铜 | 8.968 | 46 | 0.9×10-3 | 2.92×10-3 | 0.025 | 1.09 | 1356 | 300.15 | 2.83×10-6 |
6063铝合金 | 2.7 | 27.6 | 2.65×10-3 | 4.26×10-3 | 0.015 | 1.09 | 775 | 294 | 8.75×10-6 |
参数 | ρ/(g·cm3) | E/GPa | μ | σs/GPa | Et/MPa | εs |
---|---|---|---|---|---|---|
数值 | 7.83 | 207 | 0.3 | 0.005 | 207 | 0.47 |
Table 3 Main parameters of 45# steel
参数 | ρ/(g·cm3) | E/GPa | μ | σs/GPa | Et/MPa | εs |
---|---|---|---|---|---|---|
数值 | 7.83 | 207 | 0.3 | 0.005 | 207 | 0.47 |
参数 | ρ/(g·cm-3) | D/(m·s-1) | PCJ/GPa | A | B | R1 | R2 | ω | T0/K |
---|---|---|---|---|---|---|---|---|---|
数值 | 1.65 | 6930 | 18 | 171.01 | -0.03745 | 9.8 | 0.98 | 0.3 | 298 |
Table 4 Main parameters of TNT ignition growth model
参数 | ρ/(g·cm-3) | D/(m·s-1) | PCJ/GPa | A | B | R1 | R2 | ω | T0/K |
---|---|---|---|---|---|---|---|---|---|
数值 | 1.65 | 6930 | 18 | 171.01 | -0.03745 | 9.8 | 0.98 | 0.3 | 298 |
λ | h/mm | ||
---|---|---|---|
11 | 12 | 13 | |
16 | 1-1' | 1-2' | 1-3' |
8 | 2-1' | 2-2' | 2-3' |
5.33 | 3-1' | 3-2' | 3-3' |
4 | 4-1' | 4-2' | 4-3' |
Table 5 Calculation condition setting
λ | h/mm | ||
---|---|---|---|
11 | 12 | 13 | |
16 | 1-1' | 1-2' | 1-3' |
8 | 2-1' | 2-2' | 2-3' |
5.33 | 3-1' | 3-2' | 3-3' |
4 | 4-1' | 4-2' | 4-3' |
d/mm | 2 | 4 | 6 | 8 |
---|---|---|---|---|
θ1/(°) | 18°39' | 19°52' | 21°6' | 22°20' |
θ2/(°) | 9°12' | 9°47' | 10°22' | 10°57' |
θa/(°) | 37°18' | 39°44' | 42°12' | 44°40' |
Table 6 Angular distributions of four combined MEFPs
d/mm | 2 | 4 | 6 | 8 |
---|---|---|---|---|
θ1/(°) | 18°39' | 19°52' | 21°6' | 22°20' |
θ2/(°) | 9°12' | 9°47' | 10°22' | 10°57' |
θa/(°) | 37°18' | 39°44' | 42°12' | 44°40' |
参量 | m0/ g | m1/ g | v0/ (m·s-1) | v1/ (m·s-1) | |
---|---|---|---|---|---|
中心弹丸 | 11.44 | 4.36 | 1773 | 965 | |
1-3' | 1号周边弹丸 | 11.48 | 4.27 | 1758 | 940 |
2号周边弹丸 | 11.48 | 4.13 | 1758 | 953 | |
中心弹丸 | 11.52 | 4.22 | 1744 | 937 | |
2-3' | 1号周边弹丸 | 11.52 | 4.23 | 1742 | 923 |
2号周边弹丸 | 11.52 | 4.21 | 1742 | 915 | |
中心弹丸 | 11.52 | 4.22 | 1741 | 935 | |
3-3' | 1号周边弹丸 | 11.46 | 4.17 | 1741 | 920 |
2号周边弹丸 | 11.46 | 4.15 | 1741 | 918 | |
中心弹丸 | 11.52 | 4.21 | 1742 | 917 | |
4-3' | 1号周边弹丸 | 11.4 | 4.11 | 1741 | 922 |
2号周边弹丸 | 11.4 | 4.12 | 1741 | 924 |
Table 7 Comparison of parameter changes before and after MEFP penetrates a 13mm-thick cylindrical shell
参量 | m0/ g | m1/ g | v0/ (m·s-1) | v1/ (m·s-1) | |
---|---|---|---|---|---|
中心弹丸 | 11.44 | 4.36 | 1773 | 965 | |
1-3' | 1号周边弹丸 | 11.48 | 4.27 | 1758 | 940 |
2号周边弹丸 | 11.48 | 4.13 | 1758 | 953 | |
中心弹丸 | 11.52 | 4.22 | 1744 | 937 | |
2-3' | 1号周边弹丸 | 11.52 | 4.23 | 1742 | 923 |
2号周边弹丸 | 11.52 | 4.21 | 1742 | 915 | |
中心弹丸 | 11.52 | 4.22 | 1741 | 935 | |
3-3' | 1号周边弹丸 | 11.46 | 4.17 | 1741 | 920 |
2号周边弹丸 | 11.46 | 4.15 | 1741 | 918 | |
中心弹丸 | 11.52 | 4.21 | 1742 | 917 | |
4-3' | 1号周边弹丸 | 11.4 | 4.11 | 1741 | 922 |
2号周边弹丸 | 11.4 | 4.12 | 1741 | 924 |
d/mm | 作用弹丸 | h=11mm | h=12mm | h=13mm | |||
---|---|---|---|---|---|---|---|
毁伤状态 | 起爆机制 | 毁伤状态 | 起爆机制 | 毁伤状态 | 起爆机制 | ||
所有弹丸 | 起爆 | 冲击引爆 | 起爆 | 冲击引爆 | 起爆 | 冲击引爆 | |
2 | 中心弹丸 | 起爆 | 冲击引爆 | 起爆 | 冲击引爆 | 起爆 | 冲击引爆 |
1号周边弹丸 | 起爆 | 冲击引爆 | 起爆 | 剪切引爆 | 未起爆 | · | |
2号周边弹丸 | 起爆 | 冲击引爆 | 起爆 | 冲击引爆 | 起爆 | 剪切引爆 | |
所有弹丸 | 起爆 | 冲击引爆 | 起爆 | 冲击引爆 | 起爆 | 冲击引爆 | |
4 | 中心弹丸 | 起爆 | 冲击引爆 | 起爆 | 冲击引爆 | 起爆 | 剪切引爆 |
1号周边弹丸 | 起爆 | 冲击引爆 | 起爆 | 剪切引爆 | 未起爆 | · | |
2号周边弹丸 | 起爆 | 冲击引爆 | 起爆 | 冲击引爆 | 起爆 | 剪切引爆 | |
所有弹丸 | 起爆 | 冲击引爆 | 起爆 | 冲击引爆 | 起爆 | 冲击引爆 | |
6 | 中心弹丸 | 起爆 | 冲击引爆 | 起爆 | 剪切引爆 | 起爆 | 剪切引爆 |
1号周边弹丸 | 起爆 | 冲击引爆 | 起爆 | 剪切引爆 | 未起爆 | · | |
2号周边弹丸 | 起爆 | 冲击引爆 | 起爆 | 剪切引爆 | 起爆 | 剪切引爆 | |
所有弹丸 | 起爆 | 冲击引爆 | 起爆 | 冲击引爆 | 起爆 | 剪切引爆 | |
8 | 中心弹丸 | 起爆 | 冲击引爆 | 起爆 | 剪切引爆 | 起爆 | 剪切引爆 |
1号周边弹丸 | 起爆 | 冲击引爆 | 起爆 | 剪切引爆 | 未起爆 | · | |
2号周边弹丸 | 起爆 | 冲击引爆 | 起爆 | 剪切引爆 | 起爆 | 剪切引爆 |
Table 8 Impact damage results of 45# steel cylindrical shells with different thicknesses under different working conditions
d/mm | 作用弹丸 | h=11mm | h=12mm | h=13mm | |||
---|---|---|---|---|---|---|---|
毁伤状态 | 起爆机制 | 毁伤状态 | 起爆机制 | 毁伤状态 | 起爆机制 | ||
所有弹丸 | 起爆 | 冲击引爆 | 起爆 | 冲击引爆 | 起爆 | 冲击引爆 | |
2 | 中心弹丸 | 起爆 | 冲击引爆 | 起爆 | 冲击引爆 | 起爆 | 冲击引爆 |
1号周边弹丸 | 起爆 | 冲击引爆 | 起爆 | 剪切引爆 | 未起爆 | · | |
2号周边弹丸 | 起爆 | 冲击引爆 | 起爆 | 冲击引爆 | 起爆 | 剪切引爆 | |
所有弹丸 | 起爆 | 冲击引爆 | 起爆 | 冲击引爆 | 起爆 | 冲击引爆 | |
4 | 中心弹丸 | 起爆 | 冲击引爆 | 起爆 | 冲击引爆 | 起爆 | 剪切引爆 |
1号周边弹丸 | 起爆 | 冲击引爆 | 起爆 | 剪切引爆 | 未起爆 | · | |
2号周边弹丸 | 起爆 | 冲击引爆 | 起爆 | 冲击引爆 | 起爆 | 剪切引爆 | |
所有弹丸 | 起爆 | 冲击引爆 | 起爆 | 冲击引爆 | 起爆 | 冲击引爆 | |
6 | 中心弹丸 | 起爆 | 冲击引爆 | 起爆 | 剪切引爆 | 起爆 | 剪切引爆 |
1号周边弹丸 | 起爆 | 冲击引爆 | 起爆 | 剪切引爆 | 未起爆 | · | |
2号周边弹丸 | 起爆 | 冲击引爆 | 起爆 | 剪切引爆 | 起爆 | 剪切引爆 | |
所有弹丸 | 起爆 | 冲击引爆 | 起爆 | 冲击引爆 | 起爆 | 剪切引爆 | |
8 | 中心弹丸 | 起爆 | 冲击引爆 | 起爆 | 剪切引爆 | 起爆 | 剪切引爆 |
1号周边弹丸 | 起爆 | 冲击引爆 | 起爆 | 剪切引爆 | 未起爆 | · | |
2号周边弹丸 | 起爆 | 冲击引爆 | 起爆 | 剪切引爆 | 起爆 | 剪切引爆 |
λ | h/mm | ||
---|---|---|---|
11 | 12 | 13 | |
16 | 3 | 3.6 | 8 |
8 | 3 | 6.5 | 10.8 |
5.33 | 4 | 9 | 13 |
4 | 6 | 9 | 15 |
Table 9 Impact initiation times of four projectiles on 3 cylindrical shell charges with different wall thicknesses μs
λ | h/mm | ||
---|---|---|---|
11 | 12 | 13 | |
16 | 3 | 3.6 | 8 |
8 | 3 | 6.5 | 10.8 |
5.33 | 4 | 9 | 13 |
4 | 6 | 9 | 15 |
Fig.10 Curved surface diagram of 3 types of cylindrical shells with different wall thicknesses during MEFPs impact detonation under various working conditions
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