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火箭空中爆炸冲击波峰值超压预测方法

王岩 王华 崔村燕 段永胜 赵蓓蕾

王岩, 王华, 崔村燕, 等 . 火箭空中爆炸冲击波峰值超压预测方法[J]. 北京航空航天大学学报, 2020, 46(7): 1371-1378. doi: 10.13700/j.bh.1001-5965.2019.0481
引用本文: 王岩, 王华, 崔村燕, 等 . 火箭空中爆炸冲击波峰值超压预测方法[J]. 北京航空航天大学学报, 2020, 46(7): 1371-1378. doi: 10.13700/j.bh.1001-5965.2019.0481
WANG Yan, WANG Hua, CUI Cunyan, et al. Prediction method of shock wave peak overpressure generated by air explosion of rocket[J]. Journal of Beijing University of Aeronautics and Astronautics, 2020, 46(7): 1371-1378. doi: 10.13700/j.bh.1001-5965.2019.0481(in Chinese)
Citation: WANG Yan, WANG Hua, CUI Cunyan, et al. Prediction method of shock wave peak overpressure generated by air explosion of rocket[J]. Journal of Beijing University of Aeronautics and Astronautics, 2020, 46(7): 1371-1378. doi: 10.13700/j.bh.1001-5965.2019.0481(in Chinese)

火箭空中爆炸冲击波峰值超压预测方法

doi: 10.13700/j.bh.1001-5965.2019.0481
详细信息
    作者简介:

    王岩 男, 博士研究生。主要研究方向:飞行器测试

    王华 男, 博士, 教授, 博士生导师。主要研究方向:飞行器测试

    通讯作者:

    王华, E-mail: wanghuaprofessor@163.com

  • 中图分类号: O383+.1

Prediction method of shock wave peak overpressure generated by air explosion of rocket

More Information
  • 摘要:

    研究火箭空中爆炸冲击波参数预测方法对于乘员舱的安全评估具有重要意义。为了探究火箭空中爆炸时飞行高度对峰值超压的影响,获取冲击波参数快速预测方法,利用ANSYS/LS-DYNA有限元软件对火箭飞行至0~20 km高度爆炸进行了有限元仿真分析。结果表明,作用于乘员舱的冲击波峰值超压随飞行高度的增加而快速减小。火箭空中爆炸冲击波压强衰减系数与飞行高度之间的关系服从二次函数衰减。在此基础上,提出了考虑高度效应的火箭空中爆炸冲击波峰值超压预测公式,可为乘员舱的快速危害性评估以及防护研究提供一定参考。

     

  • 图 1  火箭空中爆炸有限元模型

    Figure 1.  Finite element model of rocket explosion in air

    图 2  不同网格尺寸模型的冲击波峰值超压对比曲线

    Figure 2.  Comparison of shock wave peak overpressure among models with different mesh sizes

    图 3  乘员舱观测点分布

    Figure 3.  Observation points distribution of crew module

    图 4  仿真结果与经验公式平均值对比曲线

    Figure 4.  Comparison of simulation results with average of several empirical formulas

    图 5  火箭空中爆炸解体过程等效应变云图

    Figure 5.  Effective strain contour of rocket disintegration process during rocket explosion in air

    图 6  火箭空中爆炸时的冲击波超压云图演化过程

    Figure 6.  Evolution process of pressure contour of shock wave during rocket explosion in air

    图 7  火箭空中爆炸冲击波峰值超压随飞行高度变化关系

    Figure 7.  Relation between flight altitude and peak overpressure of shock wave generated by rocket explosion in air

    图 8  火箭空中爆炸时压力衰减因子随飞行高度变化拟合曲线

    Figure 8.  Fitting curve of change of pressure attenuation factor with flight altitude for rocket explosion in air

    表  1  不同飞行高度下的推进剂质量及当量系数

    Table  1.   Propellant mass and equivalent coefficient at different flight altitudes

    H/km M1/kg M2/kg 4 Mzt/kg Y
    0 157660 26000 576000 0.1110
    0.5 150640 26000 508480 0.1149
    1 148150 26000 484580 0.1161
    3 142370 26000 429010 0.1197
    6 137210 26000 379430 0.1235
    10 132360 26000 332750 0.1279
    15 127550 26000 286550 0.1330
    20 123590 26000 248430 0.1383
    下载: 导出CSV

    表  2  不同飞行高度数值仿真TNT初始参数

    Table  2.   Initial parameters of TNT at different flight altitudes in numerical simulations

    H/km mT/kg r0/m h0/m z0/m
    0 84322 2.0196 4.0392 20.6894
    0.5 78720 1.9738 3.9477 21.0062
    1 76479 1.9549 3.9099 21.1376
    3 71506 1.9116 3.8232 21.4627
    6 67016 1.8707 3.7415 21.7998
    10 62813 1.8308 3.6615 22.1569
    15 58533 1.7882 3.5764 22.5707
    20 55046 1.7520 3.5039 22.9639
    下载: 导出CSV

    表  3  不同飞行高度下的大气参数[25]

    Table  3.   Atmospheric parameters at different flight altitudes[25]

    H/km ρ/(g·cm-3) E0/10-6
    0 1.29 2.5
    0.5 1.167 2.3865
    1 1.111 2.2469
    3 0.9093 1.753
    6 0.6601 1.1805
    10 0.4135 0.6625
    15 0.1948 0.3028
    20 0.08891 0.1382
    下载: 导出CSV

    表  4  拟合公式中的参数及标准差

    Table  4.   Parameters and standard errors in fitting formula

    参数 数值 标准差
    a 0.0002 0.00046
    b -0.04932 0.00903
    c 0.97259 0.02876
    下载: 导出CSV
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  • 收稿日期:  2019-09-05
  • 录用日期:  2020-01-03
  • 网络出版日期:  2020-07-20

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