基于压力-冲量曲线的水下爆炸压力-时间公式  

Pressure-time formula for underwater explosion based on pressure-impulse curve

作　　者：徐庆涛 马宏昊[1,2] 周章涛[3] 杨科 沈兆武[1] XU Qingtao;MA Honghao;ZHOU Zhangtao;YANG Ke;SHEN Zhaowu(CAS Key Laboratory of Mechanical Behavior and Design of Materials,University of Science and Technology of China,Hefei 230026,Anhui,China;State Key Laboratory of Fire Science,University of Science and Technology of China,Hefei 230026,Anhui,China;China Ship Scientific Research Center,Wuxi 214082,Jiangsu,China)

机构地区：[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

出　　处：《爆炸与冲击》2024年第8期159-166,共8页Explosion and Shock Waves

基　　金：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)。

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,由此计算冲击波冲量和能量参数,并与通用的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,新方法得到的压力衰减曲线更接近实验值。计算水下爆炸冲击波的比冲量和比冲击波能时,新模型具有较高的计算精度,其中: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。Theoretical study on the attenuation law of underwater explosion shock waves plays a crucial role in predicting the underwater explosion power.The attenuation law of underwater explosion shock waves could be analyzed from the shock waves pressure-time curve.The pressure-impulse(p-I)model has usually been used to assess damage on material and structure.In this paper,the pressure-time formula is analytically derived according to the p-I model.To verify the accuracy of the formula,the pressure-time relation curve was obtained by experiments with various explosive charges and distances.The experimental data was fitted in accordance with the theoretical equations of Cole andОрленко,and also with the developed pressure-time formula.The parameters of the formula are thus obtained.The accuracy could be described by the fitting coefficient R-squared(R2)value.The R-squared value of the developed pressure-time formula exceeds 0.988,which is greater than the R-squared values calculated by the equations of Cole andОрленко.In order to further validate the formula,the impulse and energy of underwater explosion shock waves are derived from the developed pressure-time formula,experimental data,and the equations of Cole andОрленко,respectively.Compared with the experimental results,the error of impulse derived from the developed pressure-time remains below 4%,which is 5%-10%lower than the errors of impulse between the experimental results and the equations of Cole andОрленко.The energy of the shock waves is similarly analyzed.Compared with the experimental results,the error of energy derived from the developed pressure-time remains below 1%,approximately the same as the errors of energy between the experimental results and the equations of Cole andОрленко.Compared with the calculation by equations of Cole andОрленко,it is seen that there is better correlation between the developed pressure-time formula and the experimental results.The developed pressure-time formula can be used to calculat

关 键 词：水下爆炸 压力衰减 比冲量 比冲击波能 压力-冲量曲线 

分 类 号：O382[理学—流体力学] TJ011.1[理学—力学]