Wave attenuation in elastic metamaterial thick plates: Analytical, numerical and experimental investigations

INTERNATIONAL JOURNAL OF SOLIDS AND STRUCTURES

卷:204

Article

Miranda Jr, E. J. P.^1,2  Nobrega, E. D.³  Rodrigues, S. F.²  Aranas, C., Jr.⁴  Dos Santos, J. M. C.⁵ 

[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 Fed Maranhao, UFMA CCET CCEM, Ave Portugueses 1966, BR-65080805 Sao Luis, Maranhao, Brazil

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

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

关键词: Metamaterial thick plate;    Mindlin-Reissner theory;    3D printing;    Complex band structure;    Forced response;    Plane wave expansion;   

DOI  :  10.1016/j.ijsolstr.2020.08.002

来源: Elsevier

【 摘 要 】

We investigate the complex band structure and forced response of flexural waves propagating in an elastic metamaterial thick plate. Mindlin-Reissner thick plate theory is considered. We study the influence of periodic arrays of spring-mass resonators attached to the surface of a homogeneous thick plate on the formation of Bragg-type and locally resonant band gaps. The plane wave expansion and extended plane wave expansion approaches are used to compute the complex band structure and wave shapes of the metamaterial thick plate with attached spring-mass resonators. An experimental analysis is conducted with a 3D-printed metamaterial plate with resonators. Modal shapes, forced response and band structure are computed by finite element and wave finite element methods. Analytical, numerical and experimental results present good agreement. (C) 2020 Elsevier Ltd. All rights reserved.

【 授权许可】

Free