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Fuzzy mathematics based strategy for selecting of the patched left-handed metamaterial microstructures[J].计算力学学报,2017,(4):440~446

Fuzzy mathematics based strategy for selecting of the patched left-handed metamaterial microstructures
Fuzzy mathematics based strategy for selecting of the patched left-handed metamaterial microstructures

DOI：10.7511/jslx201704007

 作者 单位 E-mail 史鹏飞 大连理工大学 运载工程与力学学部 工业装备结构分析国家重点实验室, 大连 116024 高仁璟 大连理工大学 运载工程与力学学部 工业装备结构分析国家重点实验室, 大连 116024 刘书田 大连理工大学 运载工程与力学学部 工业装备结构分析国家重点实验室, 大连 116024 stliu@dlut.edu.cn

研究了基于模糊数学的贴片式左手超材料结构的选择机制，其核心思想是基于现有左手超材料结构构建左手材料微结构集合，将集合中结构的特性参数以某种隶属函数映射到[0，1]区间，用隶属度表示各元素对设计需求的符合度；根据模糊目标及约束的隶属度确定元素的模糊优越集，最终找到最适合于相应设计的结构方案。给出了材料库中每种结构方案相对于模糊目标及约束的隶属度的确定方法。为了验证所提出选择方法的可行性，建立了不同拓扑形式的左手超材料构型集合和不同尺寸的巾型构型集合，针对具体的设计目标和约束要求，计算了相应集合的模糊优越集，给出了最适合的个体元素排序，计算结果表明本文提出的结构选择方法可选出满足设计要求的结构构型。

In this paper,the mechanism for selection of the microstructures of the patch left-handed metamaterials based on fuzzy math is proposed.A set with different topological configurations is obtained from the existing left-handed metamaterials structures.The characteristics of each structure in the set is mapped to[0,1] interval through a certain subordinate function.The degree of the membership represents each structure's conformity to the designing demand.According to the membership degree of the fuzzy objectives and constraints,the fuzzy superiority set is obtained,which can be used to represent the suitable structures for the demand.The determination of the subordinate function of each fuzzy objective and constraint is discussed.In order to validate the feasibility of the method,one set containing the structures with different topology configurations and another consisting of the fork-shaped structures with different size are established.For different objectives and constraints,the superiority of the corresponding set is calculated.The result indicates that the proposed structure selection method can find the required structure configurations.