Extended plane wave expansion formulation for viscoelastic phononic thin plates

被引：4

作者：

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

Dal Poggetto, V. F. ^{[4
]}

Pugno, N. M. ^{[4
,5
]}

Dos Santos, J. M. C. ^{[6
]}

机构：

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

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

[3] Vale Inst Technol, ITV MI, Rua Prof Paulo Magalhaes Gomes Bauxita, BR-35400000 Ouro Preto, MG, Brazil

[4] Univ Trento, Dept Civil Environm & Mech Engn, Lab Bioinspired Bion Nano Meta Mat & Mech, I-38123 Trento, Italy

[5] Queen Mary Univ London, Sch Engn & Mat Sci, Mile End Rd, London E1 4NS, England

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

来源：

WAVE MOTION | 2023年 / 123卷

基金：

巴西圣保罗研究基金会;

关键词：

Wave attenuation; Viscoelasticity; Evanescent Bloch waves; Periodic Kirchhoff-Love plates; Phononic structures; BAND-STRUCTURE; PLATONIC CRYSTAL; GAPS;

D O I：

10.1016/j.wavemoti.2023.103222

中图分类号：

O42 [声学];

学科分类号：

070206 ; 082403 ;

摘要：

The extended plane wave expansion (EPWE) formulation is derived to obtain the complex band structure of flexural waves in viscoelastic thin phononic crystal plates considering the Kirchhoff-Love plate theory. The presented formulation yields the evanescent behavior of flexural waves in periodic thin plates considering viscoelastic effects. The viscosity is modeled by the standard linear solid model (SLSM), typically used to closely model the behavior of polymers. It is observed that the viscoelasticity influences significantly both the propagating and evanescent Bloch modes. The highest wave attenuation of the viscoelastic phononic thin plate is found around a unit cell filling fraction of 0.37 for higher frequencies considering the least attenuated wave mode. This EPWE formulation broadens the suitable methods to handle evanescent flexural waves in 2-D thin periodic plate systems considering the effects of viscoelasticity on wave attenuation.

引用

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页数：12

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