柱形装药空中运动爆炸冲击波荷载计算模型

王明涛 程月华 吴昊

王明涛, 程月华, 吴昊. 柱形装药空中运动爆炸冲击波荷载计算模型[J]. 爆炸与冲击. doi: 10.11883/bzycj-2023-0447
引用本文: 王明涛, 程月华, 吴昊. 柱形装药空中运动爆炸冲击波荷载计算模型[J]. 爆炸与冲击. doi: 10.11883/bzycj-2023-0447
WANG Mingtao, CHENG Yuehua, WU Hao. Calculation model of blast wave loadings of cylindrical charges air moving explosion[J]. Explosion And Shock Waves. doi: 10.11883/bzycj-2023-0447
Citation: WANG Mingtao, CHENG Yuehua, WU Hao. Calculation model of blast wave loadings of cylindrical charges air moving explosion[J]. Explosion And Shock Waves. doi: 10.11883/bzycj-2023-0447

柱形装药空中运动爆炸冲击波荷载计算模型

doi: 10.11883/bzycj-2023-0447
基金项目: 国家自然科学基金(52308522);国家资助博士后研究人员计划(GZB20230527);中国博士后科学基金(023M742663)
详细信息
    作者简介:

    王明涛(1996- ),男,博士研究生,wangmingtao@tongji.edu.cn

    通讯作者:

    程月华(1994- ),女,博士,博士后,yhcheng@tongji.edu.cn

  • 中图分类号: O38

Calculation model of blast wave loadings of cylindrical charges air moving explosion

  • 摘要: 为预测战斗部爆炸威力,对柱形装药运动爆炸的入射和反射冲击波峰值超压和最大冲量开展数值仿真研究。首先,基于AUTODYN有限元分析程序提出了“三阶段”的装药运动爆炸有限元分析方法,通过与已有静止和运动爆炸试验结果对比验证了方法的可靠性。然后,考虑装药运动速度、长径比、比例距离、方位角和刚性反射等影响因素开展了运动爆炸工况下200组柱形装药的数值模拟。结果表明:相较于静爆,动爆冲击波场整体前移,波阵面强度在装药运动方向增强而在反方向减弱,该影响与装药运动速度正相关。最后,针对柱形装药空中自由场运动爆炸和垂直于目标迎爆面运动爆炸的典型工况,分别提出了装药运动爆炸入射和反射冲击波峰值超压以及最大冲量的计算模型,该模型与2种战斗部柱形TNT装药运动爆炸工况的数值模拟结果符合良好,能较好地计算柱形装药空中运动爆炸冲击波荷载。
  • 图  1  柱形装药空中动爆有限元模型

    Figure  1.  Finite element model of cylindrical charges air moving explosion

    图  2  局部和全域模型中不同网格尺寸下的空气压力时程曲线

    Figure  2.  Air pressure-time histories corresponding to different mesh sizes in local and global models

    图  3  爆炸试验[15]和对应的有限元模型

    Figure  3.  Explosion test[15] and corresponding finite element model

    图  4  入射冲击波超压的试验[15]和数值模拟结果对比

    Figure  4.  Comparisons of test[15] and simulated incident overpressure

    图  5  爆炸试验[27-28]和对应的有限元模型

    Figure  5.  Explosion test[27-28] and corresponding finite element model

    图  6  入射冲击波峰值超压和比冲量的试验[27-28]和数值模拟结果对比

    Figure  6.  Comparisons of test[27-28] and simulated peak incident overpressure and scaled impulse

    图  7  爆炸试验[16-18]和有限元模型

    Figure  7.  Explosion test[16-18] and finite element model

    图  8  Pentolite炸药爆炸入射峰值超压试验[16]和数值模拟结果对比

    Figure  8.  Comparisons of test[16] and simulated peak incident overpressure of Pentolite charges explosions

    图  9  B炸药爆炸入射峰值超压和最大冲量的试验[17-18]和数值模拟结果对比

    Figure  9.  Comparisons of test[17-18] and simulated peak incident overpressure and maximal impulse of B charges explosions

    图  10  装药运动扰动压力场和有限元模型

    Figure  10.  The disturbed pressure field of moving charge and finite element model

    图  11  不同速度下扰动压力场对入射冲击波超压时程的影响

    Figure  11.  Influence of the disturbed pressure field on incident overpressure-time histories with different velocities

    图  12  不同时刻柱形装药动爆冲击波压力云图(L/D=6, Ma =4)

    Figure  12.  Instantaneous blast wave pressure contours of cylindrical charges air moving explosion at different times (L/D=6, Ma=4)

    图  13  不同装药长径比的冲击波压力云图(Ma =0)

    Figure  13.  Instantaneous blast wave pressure contours of cylindrical charges air moving explosion with different L/Ds (Ma =0)

    图  14  典型比例距离处不同长径比装药的冲击波峰值超压和最大冲量与方位角的关系(Ma =0)

    Figure  14.  Blast wave peak overpressure and maximal impulse vs azimuth angle of charges with different L/Ds at typical scaled distances (Ma =0)

    图  15  不同速度柱形装药的动爆冲击波压力云图(0.1 ms)

    Figure  15.  Instantaneous blast wave pressure contours of cylindrical charges air moving explosion with different velocities (0.1 ms)

    图  16  冲击波场几何中心位移

    Figure  16.  Displacement of blast wave field geometric center

    图  17  典型比例距离处的冲击波峰值超压和最大冲量与方位角的关系(L/D=6)

    Figure  17.  Blast wave peak overpressure and maximal impulse vs azimuth angle of charges with different velocities at typical scaled distances (L/D=6)

    图  18  不同运动速度入射冲击波峰值超压(L/D=6)

    Figure  18.  Peak overpressure of blast wave with different moving velocities (L/D=6)

    图  19  典型方位角入射冲击波峰值超压(L/D=6)

    Figure  19.  Peak overpressure of blast wave under typical azimuth angles (L/D=6)

    图  20  不同运动速度入射冲击波最大冲量(L/D=6)

    Figure  20.  Maximal impulse of blast wave under typical azimuth angles with different moving velocities (L/D=6)

    图  21  典型方位角入射冲击波最大冲量(L/D=6)

    Figure  21.  Maximal impulse of blast wave under typical azimuth angles (L/D=6)

    图  22  反射场和自由场有限元模型

    Figure  22.  Finite element models of reflection and free fields

    图  23  不同垂直比例距离处的冲击波超压反射系数(L/D=6)

    Figure  23.  Reflection coefficients of blast overpressure at different vertical scaled distances (L/D=6)

    图  24  23 kg装药的动爆冲击波荷载

    Figure  24.  Blast wave loadings of 23 kg charges air moving explosion

    图  25  280 kg装药的动爆冲击波荷载

    Figure  25.  Blast wave loadings of 280 kg charges air moving explosion

    表  1  扰动压力场影响下的入射冲击波峰值超压相对误差

    Table  1.   Relative deviations of peak incident overpressure influenced by the disturbance pressure field

    Ma Z/(m·kg-1/3) δd(%)
    α= α=45° α=90° α=135° α=180°
    1 0.3 2.88 0.76 0.97 0.18 9.08
    0.4 0.40 0.19 0.03 0.41 6.46
    0.5 2.63 0.71 0.42 0.35 2.94
    4 0.3 16.41 0.93 7.67 1.40 29.46
    0.4 7.75 1.10 4.57 5.15 14.64
    0.5 3.66 2.63 2.71 8.14 5.78
    下载: 导出CSV

    表  2  峰值超压的拟合系数

    Table  2.   Coefficients of the fitted formula for peak overpressure

    j Aj,1 Aj,2 Aj,3 Aj,4 Aj,5
    1 −926 −308 721 −4 236
    2 1497 858 −558 26 −559
    3 −224 −133 111 −7 70
    k A1,k,1 A1,k,2 A1,k,3 A2,k,1 A2,k,2 A2,k,3 A3,k,1 A3,k,2 A3,k,3
    1 −2287 −60 1782 2769 250 −1686 −291 −40 182
    2 −262 −74 484 −893 212 −205 491 −50 −51
    3 −873 39 829 732 −160 −685 −152 50 102
    4 −1781 89 1304 1854 −233 −932 −242 47 85
    下载: 导出CSV

    表  3  比冲量的拟合系数

    Table  3.   Coefficients of the fitted formula for the scaled impulse

    j Bj,1 Bj,2 Bj,3 Bj,4 Bj,5
    1 372 214 −148 3 −181
    2 −277 −72 108 −2 46
    3 40 36 −10 0 −17
    k B1,k,1 B1,k2 B1,k,3 B2,k,1 B2,k,2 B2,k,3 B3,k,1 B3,k,2 B3,k,3
    1 −74 31 47 28 −26 12 68 6 −40
    2 928 7 −740 −1249 −2 743 521 1 −244
    3 525 −1 −414 −676 −5 413 267 2 −129
    4 74 −2 −49 −270 −8 167 179 3 −87
    下载: 导出CSV
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出版历程
  • 收稿日期:  2023-12-18
  • 修回日期:  2024-01-09
  • 网络出版日期:  2024-03-13

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