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

徐庆涛, 马宏昊, 周章涛, 杨科, 沈兆武. 基于压力-冲量曲线的水下爆炸压力-时间公式[J]. 爆炸与冲击. doi: 10.11883/bzycj-2023-0442
引用本文: 徐庆涛, 马宏昊, 周章涛, 杨科, 沈兆武. 基于压力-冲量曲线的水下爆炸压力-时间公式[J]. 爆炸与冲击. doi: 10.11883/bzycj-2023-0442
XU Qingtao, MA Honghao, ZHOU Zhangtao, YANG Ke, SHEN Zhaowu. Pressure-time formula for underwater explosion based on pressure-impulse curve[J]. Explosion And Shock Waves. doi: 10.11883/bzycj-2023-0442
Citation: XU Qingtao, MA Honghao, ZHOU Zhangtao, YANG Ke, SHEN Zhaowu. Pressure-time formula for underwater explosion based on pressure-impulse curve[J]. Explosion And Shock Waves. 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
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

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

  • 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。
  • 图  1  水下爆炸实验装置(单位:m)

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

    图  2  不同实验工况下水下爆炸压力时程曲线

    Figure  2.  Underwater explosion pressure-time curves under different experimental conditions

    图  3  9 g RDX实验的3种模拟结果

    Figure  3.  Three model fitting results of 9 g RDX experimental data

    图  4  12 g RDX实验的3种模拟结果

    Figure  4.  Three model fitting results of 12 g RDX experimental data

    图  5  19 g RDX实验的3种模拟结果

    Figure  5.  Three model fitting results of 19 g RDX experimental data

    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)
    新模型 Cole理论 Орленко理论
    9 g RDX10.98820.92820.9854−0.0970.053
    20.99230.93630.9881−0.0890.043
    12 g RDX10.99360.93270.9861−0.2100.135
    20.99630.93060.9861−0.2000.133
    19 g RDX10.98970.92740.9895−0.1800.131
    20.99080.92860.9900−0.1600.094
    下载: 导出CSV

    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)/%
    实验 新模型 Cole-Орленко模型
    9 g RDX1325.862320.943325.575−1.510−0.088
    2282.572279.108325.575−1.22615.28
    12 g RDX1376.875375.155326.037−0.456−13.49
    2349.426348.407326.037−0.292−6.694
    19 g RDX1439.536439.484431.403−0.012−1.850
    2400.488400.228431.403−0.0657.719
    下载: 导出CSV

    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 Es/(MJ·kg−1) δ1(Es)/% δ2(Es)/%
    实验 新模型 Cole-Орленко模型
    9 g RDX11.0571.0510.929−0.578−12.11
    20.9020.8990.929−0.3702.993
    12 g RDX11.1711.1681.106−0.256−5.551
    21.0871.0821.106−0.4601.748
    19 g RDX10.8400.8360.772−0.429−8.095
    20.7570.7540.772−0.3961.982
    下载: 导出CSV
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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

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