A quasi-3D trigonometric shear deformation theory for wave propagation analysis of FGM sandwich plates with porosities resting on viscoelastic foundation

被引：48

作者：

Liang, Chen ^{[1
,2
]}

Wang, Yan Qing ^{[1
,2
]}

机构：

[1] Northeastern Univ, Dept Mech, Shenyang 110819, Peoples R China

[2] Northeastern Univ, Key Lab, Minist Educ Safe Min Deep Met Mines, Shenyang 110819, Peoples R China

来源：

COMPOSITE STRUCTURES | 2020年 / 247卷

基金：

中国国家自然科学基金;

关键词：

Functionally graded sandwich plate; Porosity; Wave propagation; Quasi-3D plate theory; Viscoelastic foundation; FREE-VIBRATION ANALYSIS; FUNCTIONALLY GRADED MATERIAL; HIGHER-ORDER SHEAR; ELASTIC FOUNDATIONS; LAMINATED COMPOSITE; RECTANGULAR PLATE; CHAOTIC DYNAMICS; SHELLS; NANOPLATE; ENERGY;

D O I：

10.1016/j.compstruct.2020.112478

中图分类号：

O3 [力学];

学科分类号：

08 ; 0801 ;

摘要：

In the present work, a quasi three-dimensional trigonometric shear deformation plate theory (quasi -3D TSDPT) is proposed for the wave propagation analysis of porous functionally graded material (FGM) sandwich plates resting on a viscoelastic foundation. The present plate theory accounts for the transverse shear and normal deformations by dividing the transverse displacement into bending, shear, and stretching components. Different types of FGM sandwich plates are taken into account. The porosities in the FGM layers of the sand- wich structures are described by introducing the porosity volume fraction and the step function. The equations of motion governing the wave propagation behavior of porous FGM sandwich plates are derived by employing Hamilton's principle. The analytical solutions to the wave dispersion relations are presented. Additionally, the parametric research is conducted to highlight the effects of the wave number, the porosity volume fraction, the viscoelastic foundation, the power -law exponent and the core -to -thickness ratio on the wave propagation. Results manifest that the in fluences of these parameters are signi ficant on the wave propagation characteristics of porous FGM sandwich plates.

引用

页数：12

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