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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