| 史鹏飞,高仁璟,刘书田.基于模糊数学的贴片式左手超材料 微结构选择方法研究[J].计算力学学报,2017,34(4):440~446 |
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| 基于模糊数学的贴片式左手超材料 微结构选择方法研究 |
| Fuzzy mathematics based strategy for selecting of the patched left-handed metamaterial microstructures |
| 投稿时间：2016-05-15 修订日期：2016-09-12 |
| DOI：10.7511/jslx201704007 |
| 中文关键词: 优化设计 左手材料 微结构设计 多目标优化 模糊数学 |
| 英文关键词:optimal design left-handed metamaterial microstructure design multi objective optimization fuzzy math |
| 基金项目:国家自然科学基金（11332004，11372063，11572073）；111引智计划（B14013）；中央高校基本科研业务费专项资金（DUT15ZD101）资助项目. |
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| 中文摘要: |
| 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。 |
| 英文摘要: |
| 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. |
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