吉首大学学报（自然科学版）2026，Vol.47Issue(4)：35-42,8.DOI:10.13438/j.cnki.jdzk.2026.04.006
基于傅里叶参数化的声子晶体带隙调控机制
Effect of Pore Geometry on Monolithic Two-Dimensional Hexagonal Lattice Structures
摘要
Abstract
To reveal the influence mechanism of hole geometry on the bandgap characteristics of two-di-mensional porous phononic crystals,a parametrically describable hole geometric model was constructed based on Fourier coefficients,and the band structures corresponding to different geometric models were calculated through finite element method.The effects of low-order Fourier coefficients(c1,c2),the di-mensionless minimum ligament width(h/L),and high-order Fourier coefficients(c3,c4)on the relative bandgap width were systematically analyzed.The results indicate that h/L and c1 are the two core pa-rameters determining the relative bandgap width;decreasing h/L and increasing c1 can both effectively broaden the relative bandgap.Low-order Fourier coefficients c1 primarily regulate the overall hole mor-phology and play a decisive role in tuning the relative bandgap width,while high-order Fourier coeffi-cients c3 and c4 mainly modify the local detailed features of the hole and have a limited effect on the rela-tive bandgap width.This suggests a clear intrinsic correlation between hole shape parameters and the bandgap characteristics of phononic crystals.关键词
声子晶体/孔洞几何形状/傅里叶系数/无量纲最小韧带宽度/带隙/有限元分析Key words
phononic crystal/hole geometries/Fourier coefficients/dimensionless minimum ligament width/band gap/finite element analysis分类
数理科学引用本文复制引用
陈懿,孔鹏..基于傅里叶参数化的声子晶体带隙调控机制[J].吉首大学学报（自然科学版）,2026,47(4):35-42,8.基金项目
国家级大学生创新创业训练计划项目(S202410531039) （S202410531039）
