Protective performance and dynamic response analysis of explosion testing pool
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摘要: 针对爆炸实验水池强度设计问题，利用非线性动力学程序LS-DYNA对10 kg TNT爆炸后的水中冲击波传播规律及爆炸水池结构动态响应情况进行了数值模拟, 对空气桶和气泡帷幕削弱水中冲击波的能力进行了定量计算，结果表明：空气桶对冲击波峰值压力削弱作用接近50%，对比冲量削弱作用达到16.2%；气泡帷幕对壁面反射冲击波的削弱作用高达86.2%，对比冲量削弱作用达到75.6%。在此基础上进一步分析了冲击载荷作用以及结构响应机理，指出了内衬钢板和混凝土围堰的危险区域，对爆炸能量在各物质间的分配和传递规律进行了初步探索，为相关爆炸水池的工程设计提供参考。Abstract: In this work, in view of the design issues concerning the strength of the explosion testing pool, we simulated numerically the shock wave propagation in water and structural dynamic responses of the testing pool subjected to a 10 kg TNT explosion impact loading using the nonlinear dynamics program LS-DYNA. We also quantitatively calculated the capability of the air tank and the bubble curtain to weaken the shock wave in water. The results show that the weakening effect of the air tank on the shock wave peak pressure and the specific impulse is close to 50% and 16.2%, that of the bubble curtain on the shock wave reflection and the specific impulse is as high as 86.2% and 75.6%. Based on this, we further analyzed the mechanism of the impact loading and the structural response and carried out a preliminary investigation of the distribution and transmission of the explosion energy between each substance. Our work can be used as reference for the engineering design of similar explosion testing pools.
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Key words:
- explosion testing pool /
- stress and strain response /
- protective performance /
- LS-DYNA
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图 3 数值计算拟合曲线与P.Cole压力曲线的对比
Figure 3. Contrast curves of numerical calculation and P. Cole empirical formulas
图 8 不同模型位置A比冲量时程曲线
Figure 8. Contrast curves of specific impulse of steel in position A
图 9 不同模型位置A等效应力时程曲线
Figure 9. Contrast curves of effective stress of steel in position A
图 10 不同模型混凝土围堰的塑性应变区域
Figure 10. Plastic strain zone of concrete cofferdam in each model
图 14 不同模型混凝土的内能变化曲线
Figure 14. Contrast curves of internal energy in concrete cofferdam
表 1 TNT炸药材料参数
Table 1. Material parameters of TNT explosive
ρ/(g·cm-3) D0/(km·s-1) PCJ/GPa A/GPa B/GPa R1 R2 ω E0/MJ 1.63 6.93 27 371 7.43 4.15 0.95 0.3 0.007 
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表 2 内衬钢板材料参数
Table 2. Material parameters of steel inner-lined plate
ρ/(g·cm-3) E/GPa λ σs/GPa Et/GPa C P β 7 850 206 0.3 0.337 9.4 40.4 5 1
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表 3 混凝土材料参数
Table 3. Material parameters of concrete
ρ/(g·cm-3) E/GPa λ σs/GPa Et/GPa C P β 2 400 30 0.18 0.035 12.7 0 0 0.8
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表 4 土壤压力与体应变关系
Table 4. Relation between pressure and volumetric strain
体应变 0.0 0.05 0.09 0.15 0.19 0.21 0.22 0.25 压力/MPa 0.0 0.34 0.45 1.27 2.08 2.71 3.92 5.66
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表 5 水的状态参数
Table 5. State parameters of water
ρ/(g·cm-3) c/(m·s-1) S1 S2 S3 γ0 α E0/MJ 1 020 1 650 1.92 -1.98 0.22 0.5 0 0
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表 6 水中冲击波峰值压力计算值与理论值对比
Table 6. Contrast of numerical calculation and empirical formulas
距离/m 峰值压力/MPa 计算与理论值的相对误差/% P. Cole理论计算值 数值计算结果平均值 2.0 57.97 64.1 10.6 2.5 45.05 47.0 4.3 3.0 36.66 37.4 2.0 3.5 30.80 29.8 -3.2 4.0 26.49 25.3 -4.5 4.5 23.19 21.6 -6.8 5.0 20.59 31.2* 注：由于池壁位置入射压力峰值被反射压力峰值覆盖，因此此值仅为反射压力峰值。
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表 7 空气桶和气泡帷幕对钢板内衬典型位置应力峰值的影响
Table 7. Effect of air tank and bubble curtain on effective stress in typical positions of steel lining
典型位置 应力峰值/MPa 衰减率/% 模型Ⅰ 模型Ⅱ 模型Ⅲ 模型Ⅳ 模型Ⅱ 模型Ⅲ 模型Ⅳ A 328.1 231.5 53.5 24.2 29.4 83.6 92.6 B 76.9 44.9 31.7 25.2 43.9 58.8 67.2 C 201.5 108.2 132.0 83.1 46.3 34.5 58.8
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