Edge and corner states in two-dimensional finite phononic crystals: Simulation and experimental study

被引：2

作者：

Martinez-Garcia, S. ^{[1
]}

Zamora-Romero, N. ^{[1
]}

Manjarrez-Montanez, B. ^{[2
]}

Fontes, A. ^{[1
]}

Quintana-Moreno, M. ^{[1
]}

Flores-Olmedo, E. ^{[1
]}

Baez, G. ^{[1
]}

Mendez-Sanchez, R. A. ^{[2
]}

机构：

[1] Univ Autonoma Metropolitana Azcapotzalco, Dept Ciencias Bas, Ave San Pablo 180,Col Reynosa Tamaulipas, Mexico City 02200, Mexico

[2] Univ Nacl Autonoma Mexico, Inst Ciencias Fis, Cuernavaca 62210, Morelos, Mexico

来源：

RESULTS IN ENGINEERING | 2023年 / 19卷

关键词：

Phononic crystal; Acoustic resonant spectroscopy; Perturbative coupling; Finite element; Periodic elastic structures; BAND-STRUCTURE; WAVES; SOUND;

D O I：

10.1016/j.rineng.2023.101272

中图分类号：

T [工业技术];

学科分类号：

08 ;

摘要：

We investigate the mechanical vibration transmission in two-dimensional infinite and finite phononic crystals (PCs). The infinite PC consists of a periodic structure formed by square plates connected to the center of each of their nearest neighbors through a tiny beam. Numerical simulations using finite elements show a wide full bandgap for frequencies between 27 kHz and 32 kHz, approximately. Acoustic resonant spectroscopy was used to measure the PC frequency spectra for the different vibrations, using a finite PC consisting of 8 by 8 cells, which was designed with the same configuration as the infinite one. Experimental results corroborate the existence of a full complete bandgap predicted by the numerical method. However, the width was significantly reduced due to the appearance of edge and corner states. The border states were obtained numerically using a supercell. The measured wave amplitudes and the simulated ones present a great similarity. Some states appear located at the corners of the finite PC demonstrating that zero-dimensional states can also appear in two-dimensional phononic crystals.

引用

页数：7

共 35 条

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