二维多重散射声子晶体结构的带隙与传输特性分析
Band Gaps and Transmission Characteristics Analysis on a Two-Dimensional Multiple-Scatter Phononic Crystal Structure.
作者信息
Xiang Hang, Ma Xingfu, Xiang Jiawei
机构信息
College of Mechanical and Electrical Engineering, Wenzhou University, Wenzhou 325035, China.
出版信息
Materials (Basel). 2020 May 2;13(9):2106. doi: 10.3390/ma13092106.
In this paper, a novel wrap-around multi-scattering phononic crystal (PC) structure is proposed. Band gaps (BGs) and transmission characteristics of the present structure are calculated using finite element method (FEM). Through the calculations of single-scattering prototype, three complete BGs which are exhibited at low frequency and the fourth wide BG at high frequency are discovered. The transmission features and resonant spectra represented by frequency response function (FRF) shows that apparent resonance directly cause the four specific BGs. By keeping the total area of scatterers unchanged, 2 × 2, 3 × 3 and 4 × 4 scatterers are designed to obtain the change rule of BGs. Furthermore, the size ratio of 2 × 2 scatterers, the number of connection beams are investigated to obtain the regular pattern of acoustic energy transmission and attenuation. The present investigation of multiple-scatter PC structure will provide a solid support on the future design of acoustical functional materials.
本文提出了一种新型的环绕式多散射声子晶体（PC）结构。采用有限元法（FEM）计算了该结构的带隙（BGs）和传输特性。通过对单散射原型的计算，发现了在低频处出现的三个完整带隙以及在高频处出现的第四个宽带隙。由频率响应函数（FRF）表示的传输特性和共振光谱表明，明显的共振直接导致了这四个特定的带隙。通过保持散射体的总面积不变，设计了2×2、3×3和4×4的散射体，以获得带隙的变化规律。此外，研究了2×2散射体的尺寸比、连接梁的数量，以获得声能传输和衰减的规律模式。对多散射PC结构的当前研究将为声学功能材料的未来设计提供坚实的支持。
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