左手超材料传输特性的变形影响机理及稳健性设计

项目名称： 左手超材料传输特性的变形影响机理及稳健性设计

项目编号： No.11502075

项目类型： 青年科学基金项目

立项/批准年度： 2016

项目学科： 数理科学和化学

项目作者： 董焱章

作者单位： 湖北汽车工业学院

项目金额： 20万元

中文摘要： 工程应用中，由于承载要求或者温度变化引起的变形因素，左手超材料的传输特性会受到微结构构型和材料变形的双重影响，因此设计时需要对这两种影响进行全面分析。本课题研究基于变形协同影响模型的左手超材料传输性能稳健性设计优化问题的数学提法、求解方法和实现技术，发展实现左手超材料传输特性和力学承载要求一体化并发设计的系统方案。具体研究内容包括：研究建立左手超材料等效电磁参数关于微结构几何参数变形关系及其组分材料电磁参数变形关系的协同影响模型，探讨变形状态对左手超材料传输特性的影响机理；在变形协同模型的基础上，研究适用于变形状态下左手超材料微结构的拓扑描述方式，进而研究考虑变形约束的左手超材料稳健性设计优化的问题提法和有限元求解策略；同时考虑微结构拓扑和材料变形对左手超材料传输特性的影响，研究建立左手超材料传输特性和变形控制指标协同优化设计的理论和方法。

中文关键词： 拓扑优化；结构设计；超材料；变形；有限元分析

英文摘要： The transmission performance for left-handed metamaterials is influenced by microstructure configurations and the material deformation in engineering requirements of load bearing or temperature variation. Therefore, microstructure configurations and the material deformation should be simultaneously considered and effectively analysed. This project presents a study on the robust design optimization of left-handed metamaterial microstructure based on a deformation influence model. A novel method and technique that simultaneously design the transmission performance of left-handed metamaterials and load bearing requirements will be developed. The research contents include: Firstly, the deformation influence model for equivalent electromagnetic parameters of left-handed metamaterials will be established. Physical mechanisms for the deformation influence on the transmission performance are to be discussed. Then based on the deformation influence model, a representation approach of left-handed metamaterial microstructure topology description will be studied, and the formulation and the corresponding solution strategy of the robust design optimization will be established. Finally, simultaneously considering the influences of the microstructure topology and the material deformation, the corresponding theory and method of left-handed metamaterial collaborative optimization design will be proposed.

英文关键词： Topology optimization;Structural design;Metamaterial;Deformation;Finite element analysis