Characterization and evaluation of stability of defective charge under high overload
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摘要: 为定量评估含缺陷装药的过载安定性,基于装药过载环境力实验装置,同时兼顾高过载压力和宽脉冲,测试了不同缺陷的装药载荷特征值;通过量化实验装置对装药载荷特征值的影响规律,建立了装药响应行为与图像灰度的关联机制;引入测试装置转换因子,提出了含缺陷装药的过载安定性评估模型,预测了不同缺陷装药的响应临界压力阈值。结果表明:实验装置能够实现大于1 GPa的过载峰值和脉冲宽度大于100 μs的高冲量脉冲;随着缺陷的直径增加,加载响应的反应等级显著升高;随着装药缺陷直径由0 mm增加到12 mm,燃烧反应临界压力由0.71 GPa向0.26 GPa递减;当装药的缺陷直径达到10 mm时,出现爆燃反应临界压力,为1.56 GPa;随着缺陷直径增加,爆燃反应临界压力递减,在缺陷为$\varnothing $12 mm时减为1.25 GPa。运用模型预测得到反应临界压力,处于由反应最小过载压力和未反应最大过载压力包围成的实验数据置信范围内,验证了模型的可靠性。Abstract: In order to quantitatively evaluate the overload stability of charge with defects, by adjusting the material and thickness of the waveform modulator, the waveform, amplitude, and pulse width of the loading signal were precisely controlled, based on the overload environmental force experimental device, the eigenvalues of charge load with different defects were measured, which can take into account the high overload pressure and wide pulse at the same time. The response degree of the charges under investigation was quantitatively characterized based on the burn marks, damage level, and mechanical fitting performance of the witness plates, grayscale numerical processing was applied to the surface images of the recovered witness plates after testing, the influence of the experimental system on the eigenvalues of charge load was quantified, and the correlation mechanism between charge response behavior and image grayscale was established. Based on clustering analysis, the primary stimulating factors affecting the stability of the charges, including defect diameter, flyer thickness, and the material and thickness of the waveform modulator, were classified, the corresponding conversion factors of the test device were introduced, the evaluation model of overload stability of defective charge was constructed, and the response critical pressure thresholds of different defective charges were predicted. The results indicate that the overload peak value greater than 1 GPa and high-impact pulse width greater than 100 μs can be achieved. With the increase of defect diameter, the response level of loading response increases significantly. The critical pressure of combustion reaction decreases from 0.71 GPa to 0.26 GPa with the increase of charge defect diameter from 0 mm to 12 mm. When the defect diameter of the charge reaches 10 mm, the critical pressure of deflagration reaction is 1.56 GPa. With the increase of defect diameter, the critical pressure of deflagration reaction decreases to 1.25 GPa when the defect is $\varnothing $12 mm. The critical reaction pressures predicted by the model are all within the confidence range of the experimental data surrounded by the minimum reaction overload pressure and the maximum unreacted overload pressure. The reliability of the model is verified, which verifies the reliability of the model.
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Key words:
- defective charge /
- high overload /
- large pulse width /
- stability evaluation /
- response critical pressure
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表 1 实验参数组合方案
Table 1. Combination scheme of experimental parameters
序号 D/mm H/mm δ/mm 波形调整
器材料序号 D/mm H/mm δ/mm 波形调整
器材料1 0 5 13 A 11 10 2 5 B 2 0 3.5 13 A 12 11 5 50 A 3 5 5 13 B 13 11 5 25 A 4 5 5 13 A 14 11 2 25 A 5 8 5 25 A 15 11 2 5 B 6 8 5 13 B 16 12 5 50 B 7 10 5 25 B 17 12 5 25 A 8 10 5 13 B 18 12 2 25 B 9 10 5 13 A 19 12 2 13 B 10 10 2 13 B 注:D为装药缺陷直径、H为飞片厚度、δ为波形调整器厚度 表 2 各种转换因子的取值
Table 2. Values of various conversion factors
影响因素 k11 k21 k22 k31 取值范围 5.20~5.30 2.80~2.90 1.20~1.25 0.10~0.25 注:k11为飞片厚度转换因子;k21为波形调整器厚度转换因子;k22为波形调整器泊松比转换因子;k31为装药缺陷直径转换因子。 表 3 模型的计算结果统计
Table 3. Statistics of calculation results of the model
D/mm H/mm δ/mm v p/GPa a11 a21 a22 ap a3 a 响应等级 0 5 13 0.5 0.65 0.2 0.03 0.63 0.09 0.2 0.165 Ⅰ 5 5 0.3 0.71 0.2 0.2 0.2 0.1 0.2 0.2 Ⅱ 3.5 13 0.5 0.85 0.61 0.03 0.63 0.21 0.2 0.234 80%Ⅲ 5 5 13 0.3 0.56 0.2 0.03 0.2 0.07 0.22 0.154 Ⅰ 3.5 25 0.5 0.62 0.61 0.01 0.63 0.22 0.22 0.204 Ⅱ 5 5 0.5 0.83 0.2 0.2 0.63 0.12 0.22 0.239 92%Ⅲ 8 3.5 25 0.3 0.53 0.61 0.01 0.2 0.20 0.316 0.189 Ⅰ 5 13 0.3 0.55 0.2 0.03 0.2 0.07 0.316 0.201 Ⅱ 5 13 0.5 0.65 0.2 0.03 0.63 0.09 0.316 0.22 47%Ⅲ 10 5 25 0.3 0.32 0.2 0.01 0.2 0.07 0.325 0.185 Ⅰ 5 25 0.5 0.47 0.2 0.01 0.63 0.09 0.325 0.205 Ⅱ 3.5 5 0.3 0.93 0.61 0.2 0.2 0.22 0.325 0.267 100%Ⅲ 2 5 0.3 1.56 0.72 0.2 0.2 0.26 0.325 0.301 Ⅳ 2 5 0.5 1.66 0.85 0.2 0.63 0.28 0.325 0.32 40%Ⅴ 11 5 50 0.3 0.21 0.2 0.06 0.2 0.08 0.33 0.188 Ⅰ 5 25 0.3 0.33 0.2 0.01 0.2 0.07 0.33 0.199 Ⅱ 3.5 5 0.5 1.07 0.61 0.2 0.63 0.22 0.33 0.241 97%Ⅲ 2 13 0.3 1.33 0.61 0.03 0.2 0.20 0.33 0.298 Ⅳ 2 13 0.5 1.45 0.72 0.03 0.63 0.25 0.33 0.316 32%Ⅴ 12 5 50 0.3 0.21 0.2 0.006 0.2 0.08 0.332 0.185 Ⅰ 5 50 0.5 0.26 0.2 0.006 0.63 0.09 0.332 0.202 Ⅱ 3.5 5 0.5 1.07 0.61 0.2 0.63 0.24 0.332 0.242 99%Ⅲ 2 25 0.5 1.25 0.72 0.01 0.63 0.25 0.332 0.297 Ⅳ 2 13 0.5 1.45 0.72 0.03 0.63 0.25 0.332 0.322 44%Ⅴ 注:v为波形调整器材料泊松比,p为冲击过载压力,Ⅰ表示未反应,Ⅱ表示开始燃烧,Ⅲ表示发生燃烧反应,Ⅳ表示开始爆燃,Ⅴ表示发生爆燃反应,百分比表示响应程度。 -
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