Acta Armamentarii ›› 2024, Vol. 45 ›› Issue (10): 3530-3537.doi: 10.12382/bgxb.2023.0686
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SHEN Yewei1,3, XING Shumin2, YANG Maofa2, ZHANG Zhe3, XU Jilin3, ZHAO Shuangliang4, ZHANG Xianren2,*(), XU Sen1
Received:
2023-07-23
Online:
2023-12-28
Contact:
ZHANG Xianren
CLC Number:
SHEN Yewei, XING Shumin, YANG Maofa, ZHANG Zhe, XU Jilin, ZHAO Shuangliang, ZHANG Xianren, XU Sen. Analysis of Tensile Strength of PBT/A3/AP System Based on Power Law Equation[J]. Acta Armamentarii, 2024, 45(10): 3530-3537.
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组分 | PBT | A3 | AP | TDI | 其他 |
质量百分数/% | 12~20 | 16~28 | 50~70 | 0.8~1.2 | 0.8~1.2 |
Table 1 Propellant formulation and component content
组分 | PBT | A3 | AP | TDI | 其他 |
质量百分数/% | 12~20 | 16~28 | 50~70 | 0.8~1.2 | 0.8~1.2 |
序号 | 氧化剂 粒径/μm | 质量 分数/% | 体积 分数/% | 弹性 模量/MPa | 抗拉 强度/kPa |
---|---|---|---|---|---|
1 | 150.0 | 50 | 38 | 0.63 | 209 |
2 | 100.0 | 50 | 38 | 0.63 | 222 |
3 | 62.5 | 50 | 38 | 0.43 | 335 |
4 | 150.0 | 60 | 48 | 1.70 | 305 |
5 | 100.0 | 60 | 48 | 1.00 | 308 |
6 | 62.5 | 60 | 48 | 1.22 | 453 |
7 | 150.0 | 70 | 59 | 4.68 | 420 |
8 | 100.0 | 70 | 59 | 4.85 | 450 |
9 | 62.5 | 70 | 59 | 5.92 | 719 |
Table 2 Effects of oxidizer radius and volume fraction on tensile strength of propellant
序号 | 氧化剂 粒径/μm | 质量 分数/% | 体积 分数/% | 弹性 模量/MPa | 抗拉 强度/kPa |
---|---|---|---|---|---|
1 | 150.0 | 50 | 38 | 0.63 | 209 |
2 | 100.0 | 50 | 38 | 0.63 | 222 |
3 | 62.5 | 50 | 38 | 0.43 | 335 |
4 | 150.0 | 60 | 48 | 1.70 | 305 |
5 | 100.0 | 60 | 48 | 1.00 | 308 |
6 | 62.5 | 60 | 48 | 1.22 | 453 |
7 | 150.0 | 70 | 59 | 4.68 | 420 |
8 | 100.0 | 70 | 59 | 4.85 | 450 |
9 | 62.5 | 70 | 59 | 5.92 | 719 |
α | 参数 | β | |||
---|---|---|---|---|---|
-2 | -1 | 1 | 2 | ||
1 | a | 4775780.819 | 70582.792 | 6.415 | 0.042 |
R2 | -0.114 | 0.734 | -1.120 | -2.722 | |
2 | a | 9269481.313 | 136894.544 | 12.418 | 0.080 |
R2 | -0.011 | 0.838 | -1.064 | -2.688 | |
3 | a | 16891594.410 | 249281.761 | 22.570 | 0.146 |
R2 | -0.176 | 0.642 | -1.231 | -2.814 |
Table 3 Fitting result of first term of power law equation
α | 参数 | β | |||
---|---|---|---|---|---|
-2 | -1 | 1 | 2 | ||
1 | a | 4775780.819 | 70582.792 | 6.415 | 0.042 |
R2 | -0.114 | 0.734 | -1.120 | -2.722 | |
2 | a | 9269481.313 | 136894.544 | 12.418 | 0.080 |
R2 | -0.011 | 0.838 | -1.064 | -2.688 | |
3 | a | 16891594.410 | 249281.761 | 22.570 | 0.146 |
R2 | -0.176 | 0.642 | -1.231 | -2.814 |
γ | 参数 | θ | ||||||
---|---|---|---|---|---|---|---|---|
-1 | 1 | 2 | 3 | 4 | 5 | 6 | ||
a | 127422.486 | 120907.440 | 125175.548 | 127696.993 | 129129.967 | 129970.433 | 130481.609 | |
-1 | b | 1272.862 | 0.287 | 0.002 | 1.359×10-5 | 9.046×10-8 | 5.990×10-10 | 3.972×10-12 |
R2 | 0.849 | 0.953 | 0.967 | 0.971 | 0.972 | 0.972 | 0.972 | |
a | 106860.928 | 114301.828 | 122039.620 | 125584.869 | 127442.964 | 128498.460 | 129131.030 | |
1 | b | 15789.726 | 1.585 | 0.010 | 6.540×10-5 | 4.308×10-7 | 2.844×10-9 | 1.881×10-11 |
R2 | 0.847 | 0.974 | 0.982 | 0.985 | 0.986 | 0.987 | 0.986 | |
a | -998996.539 | 114629.707 | 122279.954 | 125737.718 | 127549.521 | 128580.172 | 129198.648 | |
2 | b | 1135891.082 | 2.972 | 0.019 | 1.230×10-4 | 8.011×10-7 | 5.357×10-9 | 3.547×10-11 |
R2 | 0.838 | 0.961 | 0.971 | 0.976 | 0.979 | 0.980 | 0.980 | |
a | 168462.279 | 117037.751 | 123389.100 | 126447.557 | 128089.241 | 129033.864 | 129604.211 | |
3 | b | -58770.143 | 4.935 | 0.032 | 2.140×10-4 | 1.421×10-8 | 9.429×10-9 | 6.255×10-11 |
R2 | 0.845 | 0.941 | 0.955 | 0.962 | 0.966 | 0.967 | 0.968 |
Table 4 Fitting result of the first two terms of power law equation
γ | 参数 | θ | ||||||
---|---|---|---|---|---|---|---|---|
-1 | 1 | 2 | 3 | 4 | 5 | 6 | ||
a | 127422.486 | 120907.440 | 125175.548 | 127696.993 | 129129.967 | 129970.433 | 130481.609 | |
-1 | b | 1272.862 | 0.287 | 0.002 | 1.359×10-5 | 9.046×10-8 | 5.990×10-10 | 3.972×10-12 |
R2 | 0.849 | 0.953 | 0.967 | 0.971 | 0.972 | 0.972 | 0.972 | |
a | 106860.928 | 114301.828 | 122039.620 | 125584.869 | 127442.964 | 128498.460 | 129131.030 | |
1 | b | 15789.726 | 1.585 | 0.010 | 6.540×10-5 | 4.308×10-7 | 2.844×10-9 | 1.881×10-11 |
R2 | 0.847 | 0.974 | 0.982 | 0.985 | 0.986 | 0.987 | 0.986 | |
a | -998996.539 | 114629.707 | 122279.954 | 125737.718 | 127549.521 | 128580.172 | 129198.648 | |
2 | b | 1135891.082 | 2.972 | 0.019 | 1.230×10-4 | 8.011×10-7 | 5.357×10-9 | 3.547×10-11 |
R2 | 0.838 | 0.961 | 0.971 | 0.976 | 0.979 | 0.980 | 0.980 | |
a | 168462.279 | 117037.751 | 123389.100 | 126447.557 | 128089.241 | 129033.864 | 129604.211 | |
3 | b | -58770.143 | 4.935 | 0.032 | 2.140×10-4 | 1.421×10-8 | 9.429×10-9 | 6.255×10-11 |
R2 | 0.845 | 0.941 | 0.955 | 0.962 | 0.966 | 0.967 | 0.968 |
参数 | δ | ||||
---|---|---|---|---|---|
2 | 3 | 4 | 5 | 6 | |
a | 119630.650 | 121993.747 | 122961.169 | 123352.378 | 123505.313 |
b | 0.00917 | 5.881×10-5 | 3.824×10-7 | 2.501×10-9 | 1.644×10-11 |
c | 24.795 | 32.086 | 37.592 | 41.762 | 44.801 |
R2 | 0.983 | 0.988 | 0.990 | 0.991 | 0.992 |
Table 5 Fitting results of all terms of power law equation
参数 | δ | ||||
---|---|---|---|---|---|
2 | 3 | 4 | 5 | 6 | |
a | 119630.650 | 121993.747 | 122961.169 | 123352.378 | 123505.313 |
b | 0.00917 | 5.881×10-5 | 3.824×10-7 | 2.501×10-9 | 1.644×10-11 |
c | 24.795 | 32.086 | 37.592 | 41.762 | 44.801 |
R2 | 0.983 | 0.988 | 0.990 | 0.991 | 0.992 |
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