Plane wave expansion and extended plane wave expansion formulations for Mindlin-Reissner elastic metamaterial thick plates

被引：13

作者：

Miranda, E. J. P., Jr. ^{[1
,2
,3
]}

Rodrigues, S. F. ^{[2
]}

Aranas, C., Jr. ^{[4
]}

Dos Santos, J. M. C. ^{[3
]}

机构：

[1] Fed Inst Maranhao, IFMA EIB DE, Rua Afonso Pena,174, BR-65010030 Sao Luis, Maranhao, Brazil

[2] Fed Inst Maranhao, IFMA PPGEM, Ave Getulio Vargas,4, BR-65030005 Sao Luis, Maranhao, Brazil

[3] Univ Estadual Campinas, UNICAMP FEM DMC, Rua Mendeleyev,200, BR-13083970 Campinas, SP, Brazil

[4] Univ New Brunswick, Dept Mech Engn, Fredericton, NB E3B 5A3, Canada

来源：

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 2022年 / 505卷 / 02期

基金：

加拿大自然科学与工程研究理事会; 加拿大创新基金会; 巴西圣保罗研究基金会;

关键词：

Fourier series expansion; Multiple resonators; Evanescent waves; Band gaps; BAND-STRUCTURES; DISPERSION; GAPS;

D O I：

10.1016/j.jmaa.2021.125503

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The plane wave expansion (PWE) and the extended plane wave expansion (EPWE) formulations are derived in order to obtain the complex dispersion relation of flexural waves in a metamaterial Mindlin-Reissner thick plate with multiple periodic resonators. These new formulations are useful to obtain more accurate results at higher frequencies than those based on Kirchhoff-Love thin plate theory. Multiple periodic resonators with multiple degrees of freedom (M-DOF) attached to metamaterial thick plates broaden the applications for wave attenuation in high frequencies. (C) 2021 Elsevier Inc. All rights reserved.

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页数：16

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