远距离爆炸荷载作用下钢框架几何相似律研究

陈能翔 钟巍 王澍霏 杨尚霖 田宙 欧翔 黄怀纬 姚小虎

陈能翔, 钟巍, 王澍霏, 杨尚霖, 田宙, 欧翔, 黄怀纬, 姚小虎. 远距离爆炸荷载作用下钢框架几何相似律研究[J]. 爆炸与冲击, 2023, 43(1): 013101. doi: 10.11883/bzycj-2021-0498
引用本文: 陈能翔, 钟巍, 王澍霏, 杨尚霖, 田宙, 欧翔, 黄怀纬, 姚小虎. 远距离爆炸荷载作用下钢框架几何相似律研究[J]. 爆炸与冲击, 2023, 43(1): 013101. doi: 10.11883/bzycj-2021-0498
CHEN Nengxiang, ZHONG Wei, WANG Shufei, YANG Shanglin, TIAN Zhou, OU Xiang, HUANG Huaiwei, YAO Xiaohu. Study on geometric similarity law of steel frame under a far-field explosion load[J]. Explosion And Shock Waves, 2023, 43(1): 013101. doi: 10.11883/bzycj-2021-0498
Citation: CHEN Nengxiang, ZHONG Wei, WANG Shufei, YANG Shanglin, TIAN Zhou, OU Xiang, HUANG Huaiwei, YAO Xiaohu. Study on geometric similarity law of steel frame under a far-field explosion load[J]. Explosion And Shock Waves, 2023, 43(1): 013101. doi: 10.11883/bzycj-2021-0498

远距离爆炸荷载作用下钢框架几何相似律研究

doi: 10.11883/bzycj-2021-0498
基金项目: 国家杰出青年科学基金(11925203)
详细信息
    作者简介:

    陈能翔(1996- ),男,硕士研究生,201920106515@mail.scut.edu.cn

    通讯作者:

    黄怀纬(1979- ),男,博士,副教授,cthwhuang@scut.edu.cn

  • 中图分类号: O382.4

Study on geometric similarity law of steel frame under a far-field explosion load

  • 摘要: 根据Π定理推导了远距离爆炸荷载作用下钢框架原型结构与缩比模型的几何相似律表达式。基于已有的钢框架子结构爆炸实验,采用AUTODYN建立了钢框架子结构数值模型,验证了流固耦合方法在结构爆炸响应分析中的可靠性。在此基础上,对比了流固耦合方法和解析爆炸边界方法在钢框架远距离爆炸数值模拟中的准确性和计算效率,结果表明,解析爆炸边界方法可以合理地模拟远距离爆炸荷载作用下钢框架的动态响应,且计算效率较高。最后,采用该方法分析了具有不同相似比的两层三跨钢框架结构在远距离爆炸荷载作用下的动态响应及毁伤效应,结果表明:该结构的动态响应和毁伤效应符合几何相似规律。
  • 图  1  几何特征量示意图

    Figure  1.  Schematic diagram of the geometric characteristic quantity

    图  2  钢框架子结构流固耦合数值模型

    Figure  2.  Numerical model of a steel frame substructure with fluid-structure interaction

    图  3  不同网格尺寸得到的特征点(应变片1)位移时程曲线比较

    Figure  3.  Comparison of displacement-time curves at the feature point (gauge 1) obtained by different mesh sizes

    图  4  失效模式对比

    Figure  4.  Comparison of the failure modes

    图  5  结构示意图

    Figure  5.  Schematic diagram of a steel structure

    图  6  中柱侧移对比

    Figure  6.  Comparison of the lateral displacement of the middle column

    图  7  钢框架在不同工况下的应变时程曲线

    Figure  7.  Strain history curves of the steel frame under different conditions

    图  8  钢框架各响应时程曲线

    Figure  8.  Response history curves of the steel frame

    图  9  钢框架结构模型应力云图

    Figure  9.  Stress contours of the steel frame models

    表  1  爆炸毁伤问题中变量的量纲幂次指数

    Table  1.   Dimensional power coefficients of variables in explosion damage problems

    物理量MLT
    $l,{l_1},{l_2},{l_3},{H_{\text{c}}},h$010
    ${M_{\text{b}}},{M_{\text{c}}}$12-2
    ${N_{\text{b}}},{N_{\text{c}}}$11-2
    ρ1-30
    E11-2
    ν000
    σy1-1-2
    p1-1-2
    t001
    下载: 导出CSV

    表  2  爆炸毁伤问题中自变量相似准数

    Table  2.   Similar parameters of independent variables in explosion damage problems

    $ {\varPi _1} $$ {\varPi _2} $$ {\varPi _3} $$ {\varPi _4} $$ {\varPi _5} $$ {\varPi _6} $$ {\varPi _7} $$ {\varPi _8} $$ {\varPi _9} $
    $ \dfrac{{{l_1}}}{l} $$ \dfrac{{{l_2}}}{l} $$ \dfrac{{{l_3}}}{l} $$\dfrac{{{H_{\text{c}}}}}{l}$$ \dfrac{h}{l} $$\dfrac{{{M_{\text{b}}}}}{{{\sigma _{\text{y}}}{l^3}}}$$\dfrac{{{N_{\text{b}}}}}{{{\sigma _{\text{y}}}{l^2}}}$$\dfrac{{{M_{\text{c}}}}}{{{\sigma _{\text{y}}}{l^3}}}$$\dfrac{{{N_{\text{c}}}}}{{{\sigma _{\text{y}}}{l^2}}}$
    下载: 导出CSV

    表  3  炸药的材料参数

    Table  3.   Material parameters of explosive

    ρt / (kg∙m−3)A / GPaB / GPaR1R2$ \omega $DCJ / (m∙s−1)PCJ / GPaE0 / (kJ∙m−3)
    1630373.773.74714.150.90.356930216×106
    下载: 导出CSV

    表  4  钢材J-C模型参数

    Table  4.   The J-C model parameters of steel

    ρ / (kg∙m−3)E / GPaνB / MPaCnm$ {\dot \varepsilon _0}/{{\text{s}}^{ - 1}} $
    78502100.32800.0220.41.031
    下载: 导出CSV

    表  5  钢框架材料属性

    Table  5.   Material properties of steel frame

    子结构试件$ {f_{\text{y}}} $/ MPa$ {f_{\text{u}}} $/ MPa
    梁翼缘345464
    梁腹板353463
    柱翼缘420529
    柱腹板407539
    端板305417
    下载: 导出CSV

    表  6  钢框架不同工况下应变率计算

    Table  6.   Strain rate of the steel frame under different conditions

    工况1比例1/5应变率计算值/s−1工况2比例1/5应变率计算值/s−1
    30 kg,5 mm0.559030 kg,6 mm0.3475
    3750 kg,25 mp0.10383750 kg,30 mp0.0711
    下载: 导出CSV

    表  7  钢框架缩比模型相似比

    Table  7.   The similarity ratios of the scaled steel-frame models

    模型原型比例1/2比例1/5比例1/10比例1/20
    相似比11/21/51/101/20
    下载: 导出CSV

    表  8  与结构损伤状况相对应的层间位移角限制

    Table  8.   Interlayer displacement angle limit corresponding to structural damage

    性能水平损伤状态层间位移角 / %
    完好δ ≤ 0.2
    很轻微破坏0.2 < δ ≤ 0.5
    轻微破坏0.5 < δ ≤ 0.7
    中等破坏0.7 < δ ≤ 1.5
    严重破坏1.5 < δ ≤ 2.5
    很严重破坏2.5 < δ ≤ 5.0
    倒塌δ > 5.0
    下载: 导出CSV
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出版历程
  • 收稿日期:  2021-12-06
  • 修回日期:  2022-04-12
  • 网络出版日期:  2022-04-15
  • 刊出日期:  2023-01-05

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