Wave Propagation Analysis of Functionally Graded Graphene-Reinforced Piezoelectric Sandwich Nanoplates via Nonlocal Strain Gradient Theory

被引:14
作者
Hu, Biao [1 ]
Liu, Juan [1 ]
Wang, Yuxing [1 ]
Zhang, Bo [1 ]
Shen, Huoming [1 ]
机构
[1] Southwest Jiaotong Univ, Sch Mech & Aerosp Engn, Appl Mech & Struct Safety Key Lab Sichuan Prov, Chengdu 610031, Peoples R China
基金
中国国家自然科学基金;
关键词
Wave propagation; scale parameters; viscoelastic foundation; graphene distribution; piezoelectric sandwich nanoplate; FREE-VIBRATION; VISCOELASTIC GRAPHENE; PLATES; DISPERSION; NANOBEAM; SHEETS; BEAM;
D O I
10.1142/S0219455423500700
中图分类号
TU [建筑科学];
学科分类号
0813 ;
摘要
This article elaborates on the dispersion of waves in piezoelectric sandwich nanoplates resting on a viscoelastic foundation. The nanoplate comprises a functionally graded (FG) graphene-reinforced composite core layer with two piezoelectric surface layers. By combining the Halpin-Tsai model and related mixture rules, the properties of the composite material have been obtained. The Euler-Lagrange equation is obtained using the third-order shear deformation theory (TSDT) and Hamilton's principle. Subsequently, based on the nonlocal strain gradient theory (NSGT), the equation of motion is presented. Finally, the effects of scale parameters, hygrothermal conditions, graphene distribution, and viscoelastic foundation on the propagation characteristics are numerically studied. The results reveal that the scale effect is more evident when the wave number is larger. Furthermore, critical damping increases with a rise in the wavenumber and Winkler modulus.
引用
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页数:26
相关论文
共 64 条
[1]  
Abbaspour F., 2021, AUT Journal of Mechanical Engineering, V5, P2, DOI DOI 10.22060/AJME.2021.18655.5911
[2]   Thermo-electro-mechanical buckling analysis of sandwich nanocomposite microplates reinforced with graphene platelets integrated with piezoelectric facesheets resting on elastic foundation [J].
Abbaspour, Fatemeh ;
Arvin, Hadi .
COMPUTERS & MATHEMATICS WITH APPLICATIONS, 2021, 101 :38-50
[3]   Active control of vibrations of piezoelectric rectangular nanocomposite micro plates reinforced with graphene platelet in thermal ambient considering the structural damping [J].
Abbaspour, Fatemeh ;
Arvin, Hadi ;
Shahriari-Kahkeshi, Maryam .
INTERNATIONAL JOURNAL FOR COMPUTATIONAL METHODS IN ENGINEERING SCIENCE & MECHANICS, 2022, 23 (03) :243-262
[4]   Buckling treatment of piezoelectric functionally graded graphene platelets micro plates [J].
Abbaspour, Fatemeh ;
Arvin, Hadi .
STEEL AND COMPOSITE STRUCTURES, 2021, 38 (03) :337-353
[5]   Size-dependent free vibration analysis of a three-layered exponentially graded nano-/micro-plate with piezomagnetic face sheets resting on Pasternak's foundation via MCST [J].
Arefi, Mohammad ;
Kiani, Masoud ;
Zenkour, Ashraf M. .
JOURNAL OF SANDWICH STRUCTURES & MATERIALS, 2020, 22 (01) :55-86
[6]   Free vibration analysis of smart laminated carbon nanotube-reinforced composite cylindrical shells with various boundary conditions in hygrothermal environments [J].
Bisheh, Hossein ;
Wu, Nan ;
Rabczuk, Timon .
THIN-WALLED STRUCTURES, 2020, 149
[7]   NONLOCAL VIBRATION OF A FRACTIONAL ORDER VISCOELASTIC NANOBEAM WITH ATTACHED NANOPARTICLE [J].
Cajic, Milan ;
Karlicic, Danilo ;
Lazarevic, Mihailo .
THEORETICAL AND APPLIED MECHANICS, 2015, 42 (03) :167-190
[8]   Buckling Analysis of a Bi-Directional Strain-Gradient Euler-Bernoulli Nano-Beams [J].
Celik, Murat ;
Artan, Reha .
INTERNATIONAL JOURNAL OF STRUCTURAL STABILITY AND DYNAMICS, 2020, 20 (11)
[9]   Size dependence of Young's modulus in ZnO nanowires [J].
Chen, CQ ;
Shi, Y ;
Zhang, YS ;
Zhu, J ;
Yan, YJ .
PHYSICAL REVIEW LETTERS, 2006, 96 (07)
[10]   Free Vibrations of Functionally Graded Graphene-Reinforced Composite Blades with Varying Cross-Sections [J].
Chen, Jie ;
Cui, Pai ;
Li, Qiu-Sheng .
INTERNATIONAL JOURNAL OF STRUCTURAL STABILITY AND DYNAMICS, 2020, 20 (14)