基于傅里叶参数化的声子晶体带隙调控机制OA

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.