基于压力-冲量曲线的水下爆炸压力-时间公式

徐庆涛; 马宏昊; 周章涛; 杨科; 沈兆武

doi:10.11883/bzycj-2023-0442

基于压力-冲量曲线的水下爆炸压力-时间公式

doi: 10.11883/bzycj-2023-0442

徐庆涛^1,,
马宏昊^{1, 2, ,},
周章涛³,
杨科¹,
沈兆武¹

1.
中国科学技术大学中国科学院材料力学行为和设计重点实验室，安徽合肥 230026
2.
中国科学技术大学火灾科学国家重点实验室，安徽合肥 230026
3.
中国船舶科学研究中心，江苏无锡 214082

基金项目: 国家自然科学基金(51874267)；中国科学技术大学基础研究基金（WK2480000008，WK2090000007， WK2320000049）

详细信息

作者简介:
徐庆涛（1999－　），男，博士研究生，SA21005087@mail.ustc.edu.cn

通讯作者:
马宏昊（1980－　），男，博士，副教授，hhma@ustc.edu.cn

中图分类号: O382; TJ011.+1
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- 文章访问数: 49
- HTML全文浏览量: 8
- PDF下载量: 25
- 被引次数: 0
出版历程
- 收稿日期: 2023-12-14
- 修回日期: 2024-03-20
- 网络出版日期: 2024-04-07

Pressure Time Formula for Underwater Explosion Based on Pressure Impulse Curve

1.
CAS Key Laboratory of Mechanical Behavior and Design of Materials, University of Science and Technology of China, Hefei 230026, Anhui, China
2.
State Key Laboratory of Fire Science, University of Science and Technology of China, Hefei 230026, Anhui, China
3.
China Ship Scientific Research Center, Wuxi 214082, Jiangsu, China

摘要

摘要: 根据材料受冲击载荷时的压力-冲量函数，推导得到了适用于水下爆炸冲击载荷的压力-时程公式。通过水下爆炸实验方法测量不同药量、不同距离的压力-时程曲线，使用MATLAB软件对实验数据进行拟合。计算拟合的冲击波冲量和能量参数，与通用的Cole与Орленко理论计算结果进行对比，验证拟合曲线的准确性。相较于Cole和Орленко理论，新方法的压力衰减曲线更接近于实验值。计算水下爆炸冲击波的比冲和比冲击波能时，新模型具有较好的计算精度；新模型的比冲量与实验值的误差不超过4%，与Орленко理论相比，精度提高了5%~10%；比冲击波能与实验值的误差不超过1%，计算精度与通用理论相当。
- 水下爆炸 /
- 压力衰减 /
- 拟合 /
- p-I曲线
Abstract: The theoretical study of the attenuation law of underwater blast shock waves was of great significance for the prediction of the underwater blast power of the combatant. According to the pressure-impulse function when the material was subjected to shock loading, the pressure-time interval curve equation applicable to the shock loading of the underwater explosion was derived. Through the underwater explosion experimental method to measure the pressure time course curve of different amounts of drugs and different distances. Used MATLAB software to curve fit the experimental data, the underwater explosion shock wave attenuation section of the fitted curve. The experimental data were curve-fitted using Cole theoretical equations, Орленко theoretical equations, and the new model equations, respectively, and the fitting resolvability coefficients (R²) of the three equations were obtained. The impulse and energy parameters of the shock waves of the fitted curves were calculated and compared with the results of the general Cole and Орленко theories to verify the accuracy of the fitted curves. The correlation between the pressure decay curves obtained by the new method and the experimental values is closer than that of the exponential and inverse ratio segmental expressions of Cole and Орленко, and the coefficient of determination of the accuracy of the fit is more than 0.988. In calculating the values of the specific impulse and the specific energy of underwater explosive shock waves, the new model has a better accuracy of the calculations. The error between the new model and the experimental values in calculating the specific impulse does not exceed 4%, which is 5-10% higher than the error between the theoretical and experimental values of ОРЛЕНКО. The error of the specific shock wave energy from the experimental value does not exceed 1 percent, and the accuracy of the calculation is comparable to that of the general theory.
- underwater explosion /
- pressure decay /
- fitting /
- p-I curve.

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图 1 水下爆炸实验装置（单位：m）

Figure 1. Underwater explosion experiment device (unit: m)

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图 2 不同实验工况下水下爆炸压力-时程曲线

Figure 2. Different experimental conditions underwater explosion pressure-time curve

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图 3 9gRDX实验的3种模拟结果

Figure 3. Three model fitting results of 9gRDX experimental values

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图 4 12gRDX实验的3种模拟结果

Figure 4. Three model fitting results of 12gRDX experimental values

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图 5 19gRDX实验的3种模拟结果

Figure 5. Three model fitting results of 19gRDX experimental values

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表 1 3种拟合方法的精度

Table 1. Accuracy of three fitting methods

炸药	组号	R²			a/kPa	c/(kPa²·s)
炸药	组号	新模型	Cole模型	Орленко模型	a/kPa	c/(kPa²·s)
9gRDX	1	0.9882	0.9282	0.9854	−0.097	0.053
9gRDX	2	0.9923	0.9363	0.9881	−0.089	0.043
12gRDX	1	0.9936	0.9327	0.9861	−0.210	0.135
12gRDX	2	0.9963	0.9306	0.9861	−0.200	0.133
19gRDX	1	0.9897	0.9274	0.9895	−0.180	0.131
19gRDX	2	0.9908	0.9286	0.9900	−0.160	0.094

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表 2 冲量的理论值与实验值

Table 2. Theoretical and experimental values of impulse

炸药	组号	I/(Pa·s)			δ₁(I)/%	δ₂(I)/%
炸药	组号	实验	新模型	Cole-Орленко模型	δ₁(I)/%	δ₂(I)/%
9gRDX	1	325.862	320.943	325.575	−1.510	−0.088
9gRDX	2	282.572	279.108	325.575	−1.226	15.28
12gRDX	1	376.875	375.155	326.037	−0.456	−13.49
12gRDX	2	349.426	348.407	326.037	−0.292	−6.694
19gRDX	1	439.536	439.484	431.403	−0.012	−1.850
19gRDX	2	400.488	400.228	431.403	−0.065	7.719

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表 3 比冲击波能的理论值与实验值

Table 3. Theoretical and experimental values of specific shock wave energy

炸药	组号	E_s/(MJ·kg⁻¹)			δ₁(E_s)/%	δ₂(E_s)/%
炸药	组号	实验	新模型	Cole-Орленко模型	δ₁(E_s)/%	δ₂(E_s)/%
9gRDX	1	1.057	1.051	0.929	−0.578	−12.11
9gRDX	2	0.902	0.899	0.929	−0.370	2.993
12gRDX	1	1.171	1.168	1.106	−0.256	−5.551
12gRDX	2	1.087	1.082	1.106	−0.460	1.748
19gRDX	1	0.840	0.836	0.772	−0.429	−8.095
19gRDX	2	0.757	0.754	0.772	−0.396	1.982

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