Band gap formation in thin plates with a periodic array of resonators

被引：5

作者：

Zouari, Sahar ^{[1
]}

Genevaux, Jean-Michel ^{[2
]}

Brocail, Julien ^{[1
]}

Ablitzer, Fradtric ^{[2
]}

机构：

[1] ESTACA Campus Ouest, ESTACALAB, Pole Mecan Mat Composites & Environm, Rue Georges Charpak, Laval, PQ, Canada

[2] Univ Maine, CNRS UMR 6613, LAUM, Ave Olivier Messiaen, Le Mans, France

来源：

MECHANICS & INDUSTRY | 2017年 / 18卷 / 03期

关键词：

Local resonators; phononic plate; band gap; frequency response; vibration; ACOUSTIC METAMATERIAL;

D O I：

10.1051/meca/2016062

中图分类号：

TH [机械、仪表工业];

学科分类号：

0802 ;

摘要：

A resonator assembly consisting of a two-dimensional periodic array (mass-screws) mounted to a thin homogenous plate was used to investigate the vibration characteristics of locally resonant (LR) phononic plates. The numeric simulations employed the finite element method to calculate the band structures of the proposed periodic plates and to analyze the effect of geometry parameters on the evolution of the flexural band gap behavior. To experimentally validate the predictions for these theoretical examinations, two measurements with the LR phononic plates were obtained with respective lattice constants a = 40 and 50 mm. The tested plate was clamped on one side to a shaking table to generate a plane wave, propagating in the Ox-direction. Obtained experimental measurements of the wave attenuation in this direction are in good agreement with the theoretical frequency of both complete and directional band gaps.

引用

页数：8

共 12 条

[1]

Brillouin L., 1946, Wave Propagation in Periodic Structures, Electric Filters and Crystal Lattices

[2] Folded bands in metamaterial photonic crystals [J].

Chen, P. Y. ;

Poulton, C. G. ;

Asatryan, A. A. ;

Steel, M. J. ;

Botten, L. C. ;

de Sterke, C. Martijn ;

McPhedran, R. C. .

NEW JOURNAL OF PHYSICS, 2011, 13

[3] On the potential of tuned resonators to obtain low-frequency vibrational stop bands in periodic panels [J].

Claeys, Claus C. ;

Vergote, Karel ;

Sas, Paul ;

Desmet, Wim .

JOURNAL OF SOUND AND VIBRATION, 2013, 332 (06) :1418-1436

[4] Enlargement of the locally resonant Lamb wave band gap of the phononic crystal plate at the deep sub-wavelength scale [J].

Hu, Aizhen ;

Zhang, Xin ;

Wu, Fugen ;

Yao, Yuanwei .

MATERIALS RESEARCH EXPRESS, 2014, 1 (04)

[5] Enlargement of locally resonant sonic band gap by using composite plate-type acoustic metamaterial [J].

Li, Yinggang ;

Chen, Tianning ;

Wang, Xiaopeng ;

Xi, Yanhui ;

Liang, Qingxuan .

PHYSICS LETTERS A, 2015, 379 (05) :412-416

[6] Locally resonant sonic materials [J].

Liu, ZY ;

Zhang, XX ;

Mao, YW ;

Zhu, YY ;

Yang, ZY ;

Chan, CT ;

Sheng, P .

SCIENCE, 2000, 289 (5485) :1734-1736

[7] Wave propagation in metamaterial plates with periodic local resonances [J].

Nouh, M. ;

Aldraihem, O. ;

Baz, A. .

JOURNAL OF SOUND AND VIBRATION, 2015, 341 :53-73

[8] Experimental evidence of locally resonant sonic band gap in two-dimensional phononic stubbed plates [J].

Oudich, Mourad ;

Senesi, Matteo ;

Assouar, M. Badreddine ;

Ruzenne, Massimo ;

Sun, Jia-Hong ;

Vincent, Brice ;

Hou, Zhilin ;

Wu, Tsung-Tsong .

PHYSICAL REVIEW B, 2011, 84 (16)

[9] A sonic band gap based on the locally resonant phononic plates with stubs [J].

Oudich, Mourad ;

Li, Yong ;

Assouar, Badreddine M. ;

Hou, Zhilin .

NEW JOURNAL OF PHYSICS, 2010, 12

[10] Acoustic metamaterial plates for elastic wave absorption and structural vibration suppression [J].

Peng, Hao ;

Pai, P. Frank .

INTERNATIONAL JOURNAL OF MECHANICAL SCIENCES, 2014, 89 :350-361

← 1 2 →