考虑模糊变量的声子晶体带隙特性研究及优化  

STUDY AND OPTIMIZATION OF PHONONIC CRYSTAL BAND GAP CHARACTERISTICS CONSIDERING FUZZY VARIABLES

作　　者：汪柯宇 胡启国[1] 白熊 周小明 郝建旭 WANG KeYu;HU QiGuo;BAI Xiong;ZHOU XiaoMing;HAO JianXu(School of Mechatronics and Vehicle Engineering,Chongqing Jiaotong University,Chongqing 400074,China;CNPC National Oil&Gas Drilling Equipment Engineering Technology Research Center,Baoji 721002,China;Baoji Oilfield Machinery Co.,Ltd.,Baoji 721002,China;Chenzhi Technology Co.,Ltd.,Chongqing 404000,China)

机构地区：[1]重庆交通大学机电与车辆工程学院,重庆400074 [2]中国国家油气钻井装备工程技术研究中心有限公司,宝鸡721002 [3]宝鸡石油机械有限责任公司,宝鸡721002 [4]辰致科技有限公司,重庆404000

出　　处：《机械强度》2024年第2期348-354,共7页Journal of Mechanical Strength

基　　金：国家自然科学基金项目(51375519);重庆市教委科学技术研究项目重点项目(KJZD-K202000703);国家油气钻井装备工程技术研究中心开放基金项目(BOMCO-J118-JKY008-2022)资助。

摘　　要：针对声子晶体设计中存在模糊变量导致带宽不可靠问题,建立新型二维多组元局域共振型声子晶体,通过数值计算得到带隙曲线并探究带隙产生机制,并基于分析包覆层几何参数和材料参数对带隙影响结果,考虑将环状包覆层材料参数作为模糊变量,几何参数作为设计变量,通过拉丁超立方体抽样进行实验设计建立基于Kriging模型的声子晶体带隙优化模型,利用麻雀搜索算法(Sparrow Search Algorithm,SSA)对Kriging模型进行全局寻优,得到声子晶体最优设计解。结果表明,优化后带隙宽度从101.17 Hz变为224.164 Hz,增大121.5%,且带宽边界均在设计目标范围内,所提出的Kriging带隙优化模型在避免大量数值计算的同时,考虑了模糊变量的影响,具有较高的预测精度和可靠性,为声子晶体设计提供新研究思路。In order to solve the problem of unreliable bandwidth caused by fuzzy variables in the design of phononic crystals,a new two⁃dimensional multi⁃component local resonance phononic crystal is established.The band gap curve is obtained by numerical calculation and the mechanism of band gap generation is explored.Based on the analysis of the influence of the geometric parameters and material parameters of the cladding layer on the band gap,the ring cladding layer material parameters are considered as fuzzy variables and the geometric parameters are used as design variables.The experimental design is carried out by Latin hypercube sampling.The optimization model of the band gap of the phononic crystal based on Kriging model is established.The global optimization of the Kriging model is carried out by the sparrow search algorithm(SSA),and the optimal design solution of the phononic crystal is obtained.The results show that the optimized band gap width increases by 121.5%from 101.17 Hz to 224.164 Hz,and the band width boundary is within the design target range.The Kriging band gap optimization model avoids a large number of numerical calculations and considers the influence of fuzzy variables.It has high prediction accuracy and reliability,which provides a new research idea for the design of phononic crystals.

关 键 词：声子晶体 模糊变量 带隙 KRIGING模型 麻雀搜索算法 

分 类 号：TB535[理学—物理]