两装药同时起爆时金属靶板的动态响应

赵伟成 翟红波 毛伯永 杨峰

赵伟成, 翟红波, 毛伯永, 杨峰. 两装药同时起爆时金属靶板的动态响应[J]. 爆炸与冲击, 2023, 43(12): 122201. doi: 10.11883/bzycj-2023-0153
引用本文: 赵伟成, 翟红波, 毛伯永, 杨峰. 两装药同时起爆时金属靶板的动态响应[J]. 爆炸与冲击, 2023, 43(12): 122201. doi: 10.11883/bzycj-2023-0153
ZHAO Weicheng, ZHAI Hongbo, MAO Boyong, YANG Feng. Dynamic response of a metal target plate to simultaneous initiation of two charges[J]. Explosion And Shock Waves, 2023, 43(12): 122201. doi: 10.11883/bzycj-2023-0153
Citation: ZHAO Weicheng, ZHAI Hongbo, MAO Boyong, YANG Feng. Dynamic response of a metal target plate to simultaneous initiation of two charges[J]. Explosion And Shock Waves, 2023, 43(12): 122201. doi: 10.11883/bzycj-2023-0153

两装药同时起爆时金属靶板的动态响应

doi: 10.11883/bzycj-2023-0153
基金项目: 国家自然科学基金(12102337)
详细信息
    作者简介:

    赵伟成(1998- ),男,硕士研究生,1046989259@qq.com

    通讯作者:

    翟红波(1987- ),男,博士,研究员,zhaihongbo@qq.com

  • 中图分类号: O383

Dynamic response of a metal target plate to simultaneous initiation of two charges

  • 摘要: 采用量纲分析的方法,分析了两装药同时爆炸加载下金属薄板动态响应过程中的相关独立变量,并使用有限元软件进行数值计算,研究了两装药同时起爆情况下装药量、装药间距及炸距对45钢靶板响应特性的影响。基于数值模拟和量纲分析的结果,分别建立了相关参量与金属靶板最大变形挠度的函数关系,获得了适用于一定范围的靶板挠度计算模型。该研究能够在一定程度上实现不同分布装药的爆炸效应快速计算。
  • 图  1  量纲分析物理量示意图

    Figure  1.  Dimensional analysis of physical quantities

    图  2  两装药同时起爆冲击波传播

    Figure  2.  Propagation of shock waves caused by simultaneous initiation of two charges

    图  3  靶板受双爆源冲击波载荷作用情况

    Figure  3.  Target plates subjected to the loading of shock waves from a double explosion source

    图  4  金属靶板有限元模型及网格划分

    Figure  4.  A finite element model for the metal target plate and its grid division

    图  5  靶板挠厚比与装药质量无量纲数的关系

    Figure  5.  Relationship of deflection-to-thickness ratio of the target plate with charge mass non-dimensional number

    图  6  靶板挠厚比与炸距无量纲数的关系

    Figure  6.  Relationship of deflection-to-thickness ratio of the target plate with explosive distance non-dimensional number

    图  7  靶板挠厚比与装药间距无量纲数的关系

    Figure  7.  Relationship of the deflection-to-thickness ratio of the target plate with the charge spacing non-dimensional number

    图  8  靶板挠厚比与比例装药距离的关系

    Figure  8.  Relationship of deflection-to-thickness ratio of the target plate with proportional charge distance

    图  9  靶板挠厚比与比例炸距的关系

    Figure  9.  Relationship of deflection-to-thickness ratio of the target plate with proportional explosive distance

    图  10  靶板挠厚比与比例装药距离和比例炸距的关系

    Figure  10.  Relationships of deflection-to-thickness ratio of the target plate with proportional charge distance as well as proportional explosion distance

    表  1  A3钢靶板的本构模型参数[17]

    Table  1.   Constitutive model parameters of the A3 steel target plate[17]

    密度ρ/(g·cm−3)杨氏模量E/GPa泊松比υA/MPaB/MPaNC
    7.82000.3410200.080.100
    下载: 导出CSV

    表  2  部分试验数据与仿真结果

    Table  2.   Partial test data and simulation results

    序号 靶板厚度/mm TNT质量/g 炸距/cm 挠度/mm 挠度误差/%
    试验 计算
    1 1 700 98 79 71.132 10.0
    2 1 708 80 102 91.946 9.9
    3 1 1108 133 82 68.235 16.8
    4 2 700 47 79 81.841 3.6
    下载: 导出CSV

    表  3  45钢的本构模型参数[17]

    Table  3.   Constitutive model parameters of the 45 steel target plate[17]

    密度ρ/(g·cm3)杨氏模量E/GPa泊松比υA/MPaB/MPaNC
    7.82000.35073200.280.064
    下载: 导出CSV

    表  4  不同药量下靶板的最大变形挠度

    Table  4.   The maximum deformation deflections of target plates under different charge amounts

    序号 装药质量/kg 炸距/m 装药间距/m 靶板变形挠度/mm
    装药1 装药2
    1 1.0 1.0 2.0 1.5 9.815
    2 1.5 1.5 13.561
    3 2.0 2.0 17.016
    4 2.5 2.5 20.36
    5 3.0 3.0 23.61
    6 5.0 5.0 35.852
    下载: 导出CSV

    表  5  炸距不同时靶板的最大变形挠度

    Table  5.   The maximum deformation deflections of target plates with different explosive distances

    序号 装药质量/kg 炸距/m 装药间距/m 靶板变形挠度/mm
    装药1 装药2
    1 2.0 2.0 2.0 1.5 17.020
    2 2.1 15.653
    3 2.2 14.349
    4 2.3 13.235
    5 2.4 12.268
    6 2.5 11.324
    7 2.6 10.522
    8 2.7 9.704
    9 2.8 8.972
    10 2.9 8.331
    11 3.0 7.869
    下载: 导出CSV

    表  6  金属靶板的最大变形挠度计算结果

    Table  6.   Calculation results of the maximum deformation deflections of metal target plates

    序号 装药质量/kg 炸距/m 两装药间距/cm 靶板变形挠度/mm
    装药1 装药2
    1 1.0 1.0 1.0 50 11.850
    2 70 11.587
    3 90 11.213
    4 100 10.978
    5 110 10.778
    6 130 10.305
    7 150 9.815
    8 180 8.991
    9 200 8.427
    10 230 7.577
    11 250 7.054
    下载: 导出CSV

    表  7  不同比例装药间距下靶板的变形挠度

    Table  7.   Deformation deflections of target plates under different proportional charge spacings

    序号 装药质量/kg 装药间距/m 炸距/m Z1 Z2 靶板变形挠度/mm
    装药1 装药2
    1 2.0 2.0 0.5 2.0 7.88709 31.54834 20.664
    2 0.7 11.04192 20.155
    3 0.9 14.19675 19.519
    4 1.1 17.35159 18.767
    5 1.3 20.50642 17.923
    6 1.5 23.66126 17.016
    7 1.7 26.81609 15.933
    8 1.9 29.97093 15.074
    9 2.0 31.54834 14.624
    下载: 导出CSV

    表  8  不同比例炸距下靶板的变形挠度

    Table  8.   Deformation deflections of target plates at different proportional explosive distances

    序号 装药质量/kg 装药间距/m 炸距/m Z1 Z2 靶板变形
    挠度/mm
    装药1 装药2
    1 2.0 2.0 1.5 2.0 23.66126 31.54834 17.02
    2 2.1 33.12576 15.653
    3 2.2 34.70318 14.349
    4 2.3 36.28059 13.235
    5 2.4 37.85801 12.268
    6 2.5 39.43543 11.324
    7 2.6 41.01285 10.522
    8 2.7 42.59026 9.704
    9 2.8 44.16768 8.972
    10 2.9 45.16768 8.331
    11 3.0 47.32251 7.869
    下载: 导出CSV

    表  9  数值模拟结果与模型计算结果的对比

    Table  9.   Comparison of numerical simulation results with model calculation results

    序号 TNT质量/kg 装药间距/m 炸距/m Z1 Z2 靶板挠度/mm 误差/%
    装药1 装药2 仿真计算 模型计算
    1 2.0 2.0 1.0 2.5 15.74061 39.35152 12.396 11.717 5.5
    2 3.0 3.0 1.5 2.8 20.62603 38.50193 12.724 11.485 9.7
    3 4.0 4.0 2.0 3.0 24.98666 37.47999 12.967 11.592 10.6
    5 5.0 5.0 2.5 3.3 28.99445 38.27267 11.928 10.713 10.2
    6 6.0 6.0 3.0 3.5 32.74179 38.19875 11.352 10.446 8.0
    下载: 导出CSV
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出版历程
  • 收稿日期:  2023-04-26
  • 修回日期:  2023-07-12
  • 网络出版日期:  2023-09-11
  • 刊出日期:  2023-12-12

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