具有任意泊松比的轻质超材料的设计方法。

Design Method of Lightweight Metamaterials with Arbitrary Poisson's Ratio.

作者信息

Qin Haoxing, Yang Deqing, Ren Chenhui

机构信息

State Key Laboratory of Ocean Engineering, Collaborative Innovation Center for Advanced Ship and Deep-Sea Exploration, School of Naval Architecture, Ocean and Civil Engineering, Shanghai Jiao Tong University, Shanghai 200240, China.

出版信息

Materials (Basel). 2018 Sep 1;11(9):1574. doi: 10.3390/ma11091574.

DOI:10.3390/ma11091574

PMID:30200409

原文链接:https://pmc.ncbi.nlm.nih.gov/articles/PMC6164452/

Abstract

A heuristic approach to design lightweight metamaterials with novel configurations and arbitrary Poisson's ratio is studied by using the functional element topology optimization (FETO) method. Mathematical model of the optimization problem is established, where the minimization of the mass is set as the objective, then a series of metamaterials with Poisson's ratio ranging from -1.0 to +1.0 are designed by solving this model. The deformation resistance and vibration reduction performance of the novel metamaterials and conventional honeycomb are compared by numerical simulations. Specific stiffness analysis shows that the novel metamaterials are 5.6 to 21.0 times more resistant to deformation than that of the honeycomb, and frequency response shows about 60% improvement in vibration reduction performance. Finally, the lightweight effects of the novel metamaterials on deformation resistance and vibration reduction performance are analyzed, and further analysis reflects that the lightweight effects increase with the increase of the absolute value of the Poisson's ratio.

摘要

通过功能单元拓扑优化（FETO）方法研究了一种设计具有新颖构型和任意泊松比的轻质超材料的启发式方法。建立了优化问题的数学模型，将质量最小化作为目标，然后通过求解该模型设计了一系列泊松比范围从-1.0到+1.0的超材料。通过数值模拟比较了新型超材料和传统蜂窝的抗变形能力和减振性能。比刚度分析表明，新型超材料的抗变形能力是蜂窝的5.6至21.0倍，频率响应表明减振性能提高了约60%。最后，分析了新型超材料在抗变形和减振性能方面的轻量化效果，进一步分析表明，轻量化效果随着泊松比绝对值的增加而增加。