Abstract：Metal lattice sandwich structures have great potential in the field of engineering protection owing to its lightweight, high strength, high specific stiffness characteristics and excellent multifunctional applications and designablity. In this work, based on the explicit finite element (FE) method, the dynamic responses of the pyramidal metallic lattice sandwich panels (PLSPs) under blast loading were simulated, and the multi-objective optimization for their blast-resistant performances was carried out. Firstly, a detailed FE model of the sandwich panel containing a solid-element model of the lattice core was established, and a simplified beam-element model was proposed. Secondly, the effectiveness and accuracy of the models were verified by referring to the experimental results in literature. By using the simplified model, the influences of key geometric parameters on the blast-resistant performances of the sandwich panels were analyzed based on the single variable method in terms of areal specific energy absorption (ASEA) and maximum back face deflection (MaxD). Then, based on radial basis function (RBF) response surface models and by using the non-dominated sorting genetic algorithm (NSGA-II), multi-objective design optimizations (MDO) were conducted to maximize ASEA and minimize MaxD with the key geometric parameters as design variables. Lastly, the reliability-based optimization of the blast-resistant performances of the sandwich panels was performed considering blast load uncertainty. The results show that using a simplified beam-element model of the lattice core greatly improves simulation efficiency and facilitates the optimization process. Key geometric parameters have great influences on the blast-resistant performances of the PLSPs. MDO and reliability-based optimization of PLSPs could improve their comprehensive blast-resistant performances and reliability.
亓昌，郝鹏程，舒剑，杨姝. 金字塔型点阵材料夹芯板抗爆性能仿真与优化[J]. 振动与冲击, 2019, 38(16): 245-252.
QI Chang HAO Pengcheng SHU Jian YANG Shu . Simulation and optimization for blast-resistant performances of pyramidal lattice cored sandwich panels. JOURNAL OF VIBRATION AND SHOCK, 2019, 38(16): 245-252.
[1] 方岱宁,张一慧,崔晓东.轻质点阵材料力学与多功能设计[M].北京:科学出版社,2009:5-9.
[2] 张征，吴化平，李祥辉，等. 金字塔点阵复合材料结构力学性能分析与优化[J]. 轻工机械, 2013, 31(01): 74-79.
ZHANG Zheng, WU Hua-ping, LI Xiang-hui, et al. Mechanical Properties Analysis and Optimal Design of
Pyramid Lattice Composite Structures[J]. Light Industry Machinery, 2013, 31(01): 74-79..
[3] Dharmasena K P, Wadley H N G, Williams K, et al. Response of metallic pyramidal lattice core sandwich panels to high intensity impulsive loading in air[J]. International Journal of Impact Engineering, 2011, 38(5): 275-289..
[4] Dharmasena K P, Queheillalt D T, Wadley H N G, et al. Dynamic compression of metallic sandwich structures during planar impulsive loading in water[J]. European Journal of Mechanics - A/Solids, 2010, 29(1): 56-67
[5] Dharmasena K P, Wadley H N G, Liu T, et al. The dynamic response of edge clamped plates loaded by spherically expanding sand shells[J]. International Journal of Impact Engineering, 2013, 62182-195.
[6] Wei Z, Dharmasena K P, Wadley H N G, etc al. Analysis and interpretation of a test for characterizing the response of sandwich panels to water blast[J]. International Journal of Impact Engineering, 2007, 34(10): 1602-1618.
[7] 朱凌雪，朱晓磊. 芯体截面梯度变化的点阵夹层结构吸能特性研究[J]. 振动与冲击, 2018, 37(14): 115-121.
ZHU Ling-xue, ZHU Xiao-lei. Energy absorption characteristics of lattice truss structures with graded cross-section core member[J]. Journal of Vibration and Shock, 2018, 37(14): 115-121.
[8] 王同银，刘杨，李刚，等. 功能梯度点阵夹芯结构抗爆性能数值仿真研究[J]. 振动与冲击, 2018, 37(3): 34-39.
WANG Tong-yin, LIU Yang, LI Gang, et al. Numerical simulation for anti-explosion performance of functionally graded lattice sandwich panels[J]. Journal of Vibration and Shock, 2018, 37(3): 34-39.
[9] Xue Z, Hutchinson J-W. A comparative study of impulse-resistant metal sandwich plates[J]. International Journal of Impact Engineering, 2004, 30(10): 1283-1305
[10] Lee S-U, Yang D-Y. Optimal design at inner core of the shaped pyramidal truss structure[J]. AIP Conference Proceedings, 2013, 1567(1): 1008-1011.
[11] Liu T, Deng Z-C, Lu T-J. Design optimization of truss-cored sandwiches with homogenization[J]. International Journal of Solids and Structures, 2006, 43(25-26): 7891-7918.
[12] 易建坤, 艾云平, 张东红, 等. 结构几何参数对填充泡沫铝的金字塔形点阵金属夹芯方板抗爆性能的影响[J]. 材料科学与工程学报, 2015, (01): 66-70.
YI Jian-kun, AI Yun-ping, ZHANG Dong-hong, et al. Effect of geometrical parameters of pyramid lattice sandwich square plate fiiled with Aluminum foam material on its blast resistance[J]. Journal of materials science & engineering, 2015, (01): 66-70.
[13] 泮世东, 冯吉才, 吴林志. 金字塔点阵夹芯结构的精细优化设计[J]. 哈尔滨工业大学学报, 2011, (S1): 29-33.
PAN Shi-dong, FENG Ji-cai, WU Lin-zhi. Refined optimal design of sandwich structures with modified pyramidal lattice cores[J]. Journal of Harbin institute of technology, 2011, (S1): 29-33.
[14] 韩笑，杨丽红，于国财，等. 多层梯度点阵夹芯结构抗爆性能研究[J]. 应用力学学报, 2018, 35(1): 185-190.
HAN Xiao, YANG Li-hong, YU Guo-cai, et al. Dynamic characteristics analysis and optimization for stream turbine generator foundation[J]. Chinese Journal of Applied Mechaincs, 2018, 35(1): 185-190.
[15] Lim Y-W, Choi H-J, Idapalapati S. Design of Alporas aluminum alloy foam cored hybrid sandwich plates using Kriging optimization[J]. Composite Structures, 2013, 9617-28.
[16] Qi C, Yang S, Yang L-J, Wei Z-Y, et al. Blast resistance and multi-objective optimization of aluminum foam-cored sandwich panels[J]. Composite Structures, 2013,105, 45-57.
[17] 穆雪峰, 姚卫星, 余雄庆, 等. 多学科设计优化中常用代理模型的研究[J]. 计算力学学报, 2005, (05): 608-612.
MU Xue-feng, YAO Wei-Xing, YU Xiong-ging, et al. A survey of surrogate models used in MDO. Chinese Journal of Computational Mechanics, 2005, (05): 608-612.
