基于模糊数学的贴片式左手超材料微结构选择方法研究

发布时间：2018-05-14 14:01

本文选题：优化设计 + 左手材料　；参考：《计算力学学报》2017年04期

【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。
[Abstract]:The selection mechanism of the laminated left-handed metamaterial structure based on fuzzy mathematics is studied. Its core idea is to construct a set of left-handed material microstructures based on the existing left-handed metamaterials. The characteristic parameters of the structure in the set are mapped to the interval of [0 ~ 1] by a certain membership function, the degree of conformity of each element to the design requirement is expressed by the membership degree, and the fuzzy superior set of the element is determined according to the membership degree of the fuzzy object and the constraint. Finally find the most suitable for the corresponding design of the structure. A method for determining the membership degree of each structure scheme relative to fuzzy targets and constraints in the material library is presented. In order to verify the feasibility of the proposed selection method, a set of left-handed metamaterials with different topologies and a set of towel configurations with different sizes are established, and the fuzzy superior sets of the corresponding sets are calculated according to the specific design objectives and constraints. The most suitable sorting of individual elements is given. The results show that the structure selection method proposed in this paper can select the structural configuration that meets the design requirements.
【作者单位】：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;
【基金】：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
【分类号】：O159;TB34

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