Dynamic compressive response of metal orthogonal corrugated sandwich structure
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摘要: 通过理论和数值方法，对冲击载荷下金属正交波纹夹芯结构的动态压缩响应进行了研究。考虑材料应变率影响，建立了金属正交波纹夹芯结构动态响应的理论模型，同时对它的动态压缩响应进行了有限元模拟。结果表明，考虑材料应变率影响的理论模型的预测结果与有限元模拟结果吻合较好。进一步对多层正交波纹夹芯结构的动态压缩响应进行了数值模拟，获得了不同速度冲击下的变形模式，分析了层数对其动态响应的影响。研究发现，通过增加层数能够有效地增强结构的缓冲吸能能力，但层数超过4层以后增强效果不明显。Abstract: In this paper, dynamic compression response of metal orthogonal corrugated sandwich structures under impact loading is investigated theoretically and numerically. Considering the effect of strain rate of material, analytical models of dynamic response of metal orthogonal corrugated sandwich structure is developed. Finite element simulation of its dynamic compressive response is carried out. It is shown that there is a good agreement between the results based on the analytical model and finite element simulation. Furthermore, the dynamic compressive response of multi-layer orthogonal corrugated sandwich structure is studied using finite element method. Deformation modes under different impact velocities are obtained and the influence of the number of layers on the dynamic response is analyzed. It is found that the mitigation and energy absorption capacity of the sandwich structures can be effectively enhanced by increasing the number of layers while the number of layers have mild influence after exceeding four.
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图 1 单层正交波纹夹芯结构
Figure 1. Sketch of single-layer orthogonal corrugated sandwich structure
图 2 多层正交波纹夹芯结构
Figure 2. Sketch of multi-layer orthogonal corrugated sandwich structure
图 3 单层正交波纹夹芯结构前、后面板的平均等效应力
Figure 3. Average stress of front and rear panels of single-layer orthogonal corrugated sandwich structure
图 4 冲击速度为20 m/s时单层正交波纹夹芯结构的动态响应
Figure 4. Dynamic response of single-layer orthogonal corrugated sandwich structure at shock velocity of 20 m/s
图 5 冲击速度为120 m/s时单层正交波纹夹芯结构的动态响应
Figure 5. Dynamic response of single-layer orthogonal corrugated sandwich structure at shock velocity of 120 m/s
图 6 冲击速度为300 m/s时单层正交波纹夹芯结构的动态响应
Figure 6. Dynamic response of single-layer orthogonal corrugated sandwich structure at shock velocity of 300 m/s
图 7 冲击速度为20 m/s时两层正交波纹夹芯结构的动态响应
Figure 7. Dynamic response of two-layer orthogonal corrugated sandwich structure at shock velocity of 20 m/s
图 8 冲击速度为60 m/s时两层正交波纹夹芯结构的动态响应
Figure 8. Dynamic response of two-layer orthogonal corrugated sandwich structure at shock velocity of 60 m/s
图 9 冲击速度为120 m/s时两层正交波纹夹芯结构的动态响应
Figure 9. Dynamic response of two-layer orthogonal corrugated sandwich structure at shock velocity of 120 m/s
图 10 冲击速度为300 m/s时两层正交波纹夹芯结构的动态响应
Figure 10. Dynamic response of two-layer orthogonal corrugated sandwich structure at shock velocity of 300 m/s
图 11 冲击速度为260 m/s时3层正交波纹夹芯结构的动态响应
Figure 11. Dynamic response of three-layer orthogonal corrugated sandwich structure at shock velocity of 260 m/s
图 12 不同层数正交波纹夹芯结构后面板的平均等效应力
Figure 12. Average stress of rear panel of orthogonal corrugated sandwich structure with different layers
图 13 夹芯层数对正交波纹夹芯结构比吸能的影响
Figure 13. Effect of number of layers on specific energy absorption of orthogonal corrugated sandwich structure
表 1 正交波纹夹芯结构的几何尺寸
Table 1. Geometric dimensions of orthogonal corrugated sandwich structure
l1/cm l2/cm θ/(°) a/cm hc/cm hi/cm $\sqrt{2}$ 1 45 1 0.05 0.1 
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表 2 不同层数的正交波纹夹芯结构的相对密度
Table 2. Relative density of orthogonal corrugated sandwich structure with different layers
N ${\bar \rho _{\rm{c}}}$/% ${\bar \rho _{\rm{i}}}$/% ${\bar \rho _{\rm{m}}}$/% 1 5.75 0 5.75 2 5.49 4.55 10.04 3 5.41 5.97 11.38 4 5.37 6.67 12.04 5 5.34 7.07 12.41
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表 3 正交波纹夹芯结构的变形模式
Table 3. Deformation modes of orthogonal corrugated sandwich structure
N 变形模式 v=20 m/s v=60 m/s v=160 m/s v=260 m/s v=300 m/s 1 B W W S S 2 B-B W-B W-W S-S S-S 3 B-B-B W-B-B W-W-W S-S-W S-S-S 4 B-B-B-B W-B-B-B W-W-W-W S-S-W-W S-S-S-S 5 B-B-B-B-B W-B-B-B-B W-W-W-W-W S-S-W-W-W S-S-S-S-S
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