Dynamic responses of metallic hierarchical corrugated sandwich beams under shock loadings
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摘要: 为了研究采用多级夹层设计的金属多级波纹芯体夹层梁在泡沫子弹冲击下的动态力学行为，在验证数值方法可靠性的基础上，通过 Abaqus-Explicit 仿真分析了不同子弹动量水平下金属多级波纹芯体夹层梁的动态变形过程、定量挠度结果、变形破坏模式和能量吸收特性。进一步地，设计了3种不同几何参数的单层波纹夹层结构，比较了单层和多级波纹夹层结构在等质量条件下的抗冲击性能差异。结果表明，多级波纹夹层梁冲击侧夹层面板的二级波纹芯体和一级波纹芯体的压溃程度始终大于背侧夹层面板二级波纹芯体的压溃程度。多级波纹夹层梁背侧面板的最终跨中挠度始终小于等质量单级波纹夹层梁的相应挠度，体现出多级夹层梁的抗冲击防护性能优势。这种增强机理主要在于增加的多孔芯体压缩吸能保护了背侧面板，另外，多级夹层梁的塑性轴向拉伸强度几乎保持不变，而塑性弯曲强度因梁结构总厚度增加而增大，从而扩大了夹层结构的塑性屈服面。Abstract: The dynamic mechanical behavior of a metallic hierarchical corrugated sandwich beam subjected to foam projectile impact was systematically studied. After verifying the reliability of the numerical method, the dynamic deformation evolution, quantitative deflection results, deformation failure modes, and energy absorption characteristics of the metallic hierarchical corrugated sandwich beam under different projectile momentum levels were analyzed using Abaqus-Explicit simulations. Subsequently, three metallic single-layer empty corrugated sandwich beams with different geometric parameters were designed, aiming to compare the shock resistance between single-layer and hierarchical corrugated sandwich beams under equal mass conditions. The results showed that the degree of crushing of the secondary corrugated core on the impact side and the first-order corrugated core of the hierarchical sandwich beam was always greater than that of the rear sandwich’s secondary corrugated core. The final mid-span deflection of the rear face of the hierarchical corrugated sandwich beam was always smaller than the corresponding deflection value of the equivalent mass single-level empty corrugated sandwich beam, demonstrating the superior impact protection performance of the hierarchical sandwich beam. This enhancement mechanism is mainly attributed to the increased energy absorption because of the added cellular cores, which protects the rear face sheet. Besides, the plastic longitudinal stretching strength of the hierarchical sandwich beam remains almost unchanged, while the plastic bending strength increases due to the increase in the total beam thickness, thereby enlarging the plastic yield surface of the sandwich structure.
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图 3 单级波纹夹层梁（左）和多级波纹夹层梁（右）泡沫子弹冲击有限元模型
Figure 3. Finite element model of foam projectile impact on the single-level empty corrugated sandwich beam (left) and the hierarchical corrugated sandwich beam (right)
图 4 单级波纹夹层梁的前后面板跨中挠度时程曲线的结果可靠性验证
Figure 4. Validation of mid-span deflection time histories of impact and rear face sheets for single-level empty corrugated sandwich beam
图 5 单级波纹夹层梁在不同子弹动量作用下前后面板最终跨中挠度值的数值仿真结果与实验结果对比
Figure 5. Comparison of numerical and experimental results for permanent mid-span deflection values of impact and rear face sheets of single-level empty corrugated sandwich beams under different projectile momentum
图 6 单级波纹夹层梁在不同子弹动量作用下最终变形模式的数值仿真结果与实验结果对比
Figure 6. Comparison of numerical and experimental results for final deformation modes of single-level empty corrugated sandwich beams under different projectile momentum
图 7 泡沫子弹冲击夹层结构的冲量传递过程
Figure 7. Impulse transfer process of foam projectile impacting sandwich structures
图 8 模拟计算得到的多级波纹夹层梁在泡沫子弹冲击下的动态变形过程
Figure 8. Numerical simulated structural evolution of hierarchical corrugated sandwich beams under foam projectile impacts
图 9 不同子弹初始动量水平下多级波纹夹层梁背侧面板跨中挠度时程曲线
Figure 9. Mid-span deflection time histories of the rear face of hierarchical corrugated sandwich beams under different projectile initial momentum
图 10 不同子弹初始动量下多级波纹夹层梁（HCB）和两种不同厚度面板的单级波纹夹层梁（ECB）最终跨中挠度
Figure 10. Mid-span deflection of the hierarchical corrugated sandwich beam (HCB) and two kinds of single-level empty corrugated sandwich beams with different face thicknesses (ECB) impacted by projectiles with different momentum
图 11 梁ECB-S1（左）和ECB-S2（右）的几何图例
Figure 11. Geometry of ECB-S1 (left) and ECB-S2 (right)
图 12 不同子弹初始动量下多级波纹夹层梁（HCB）和等质量等梁高单级波纹夹层梁（ECB）的最终跨中挠度
Figure 12. Mid-span deflection of the hierarchical corrugated sandwich beam (HCB) and two kinds of single-level empty corrugated sandwich beams with the mass and beam height same to the HCB (ECB) impacted by projectiles with different momentum
图 13 多级波纹夹层梁在不同动量水平冲击条件下的最终变形破坏模式
Figure 13. Final deformation modes of hierarchical corrugated sandwich beams under different projectile momentum
图 14 多级波纹夹层梁各部件最终塑性应变能及能量比率对比
Figure 14. Final plastic strain energy and energy ratio of each part of hierarchical corrugated sandwich beams
表 1 多级波纹夹层结构几何尺寸
Table 1. Geometric parameters of the hierarchical sandwich beam
L/mm W/mm lc1/mm lp1/mm tc1/mm α1/(°) lc2/mm lp2/mm tc2/mm α2/(°) tf2/mm 300 60 20 5 0.5 60 8 2 0.5 60 0.5 
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表 2 单层波纹夹层梁ECB-S1和ECB-S2的几何参数
Table 2. The geometry parameters of the empty corrugated sandwich beams ECB-S1 and ECB-S2
梁 lp/mm lc/mm tc/mm α/(°) tf/mm ECB-S1 9.12 36.46 2.10 60 0.5 ECB-S2 5.00 34.88 1.31 73.34 0.5
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本站查看22. 何理，谢先启，韩传伟，钟冬望，王洪刚，黄小武，黄炳林. 基于地震波频谱分析与线性叠加的电子雷管延时优选. 金属矿山. 2021(11): 41-48 . 百度学术23. 余良松，周龙杰，胡英国，胡伟. 两河口水电站级配料开采爆破孔间延时优选的试验研究. 爆破. 2021(04): 81-88 . 百度学术24. 杨茂森，陈永祥，郝润华. 露天煤矿超高台阶抛掷爆破振动效应评价. 爆破. 2021(04): 156-162 . 百度学术25. 孙冰，罗志业，曾晟，何旺. 爆破振动影响因素及控制技术研究现状. 矿业安全与环保. 2021(06): 129-134 . 百度学术26. 李猛，范延静，李彬，潘建荣，王湛. 爆破振动对高层框架-剪力墙结构的影响. 工程爆破. 2021(06): 26-31 . 百度学术27. 何山，郭剑锋，韩全吉. 山岭隧道微差爆破技术在周边建筑物保护中的应用. 科技通报. 2019(01): 15-18 . 百度学术28. 陈亚军，常治国，赵斐. 干旱区露天矿爆破作用线理论与实践研究. 采矿与安全工程学报. 2019(02): 357-363 . 百度学术29. 叶海旺，袁尔君，雷涛，龙梅. 基于量纲分析的爆破振动质点峰值速度预测公式. 金属矿山. 2019(05): 56-61 . 百度学术30. 相志斌，杨仕教，蒲成志，朱忠华，郑建礼. 基于爆破振动对孔间微差时间的确定. 中国矿业. 2019(11): 123-127 . 百度学术31. 王伟，李兴华，陈作彬，范磊，孙飞. 基于小波包变换的爆破振动信号能量熵特征分析. 爆破器材. 2019(06): 19-23 . 百度学术32. 李祥龙，骆浩浩，胡辉，张松涛，李克钢. 延期时间对高台阶抛掷爆破效果的影响. 北京理工大学学报. 2018(06): 579-584 . 百度学术33. 张绍银，王瑞鹏，吴顺川，赵革. 露天矿边坡爆破振动高程效应分析. 化工矿物与加工. 2018(01): 35-39 . 百度学术34. 张景华，刘钟阳. 露天采矿爆破对中缅油气管道振动的影响试验. 油气储运. 2018(07): 816-821 . 百度学术35. 陈士海，吴建. 双孔微差及长柱药包爆破振动数值模拟研究. 爆破. 2017(03): 46-52 . 百度学术36. 何理，钟冬望，陈晨，黄雄. 岩质高边坡开挖施工的爆破振动监测与分析. 金属矿山. 2017(01): 6-10 . 百度学术其他类型引用(28)
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