Free Vibration Analysis of a Graphene-Reinforced Porous Composite Plate with Different Boundary Conditions

Abstract

Plates are commonly used in many engineering disciplines, including aerospace. With the continuous improvement in the capacity of high value-added airplanes, large transport aircrafts, and fighter planes that have high strength, high toughness, and corrosion resistance have gradually become the development direction of airplane plate structure production and research. The strength and stability of metal plate structures can be improved by adding reinforced materials. This paper studies graphene platelets (GPLs) reinforced with a free vibration porous composite plate. The porous plate is constructed with a multi-layer model in a metal matrix containing uniform or non-uniformly distributed open-cell internal pores. Considering the random and directional arrangement of graphene platelets in the matrix, the elastic modulus of graphene composites was estimated using the Halpin–Tsai micromechanical model, and the vibration frequencies of graphene composite were calculated using the differential quadrature method. The effects of the total number of layers, GPL distribution pattern, porosity coefficient, GPL weight fraction, and boundary conditions on the free vibration frequency of GPLs reinforced porous composite plates are studied, and the accuracy of the conclusions are verified by the finite element software.

Modeling and Re‐Examination of Nonlinear Vibration and Nonlinear Bending of Sandwich Plates with Porous FG‐GPLRC Core

“…In the previous researches, [7][8][9][10][11][12][13][14][15][16][17][18][19][20][21][22] Young's modulus E m of the porous matrix is assumed to obey the Gibson-Ashby model. [28] The main difference of the present model compared with the EIM is that Young's modulus E m , shear modulus G m , and Poisson's ratio ν m of porous matrix in Equation ( 1)-( 3) are all functions of porosity coefficient.…”

“…Many researches have been done on the static and dynamic analyses of porous GPLreinforced composite (GPLRC) plates with or without face sheets. [7][8][9][10][11][12][13][14][15][16][17][18][19][20][21][22] Among those, Yang et al [7] explored the free vibration as well as buckling responses of functionally graded (FG) porous plates reinforced by GPLs using the Chebyshev-Ritz method based on the first-order shear deformation theory (FSDT). Within the same framework, the free vibration and buckling of porous FG-GPLRC plates were studied by Anamagh and Bediz [8] using a spectral-Chebyshev approach.…”

“…Based on the HSDT, Tran et al [14] studied free vibration and static bending of porous FG-GPLRC plates by using an ES-MITC3 finite element method (FEM). Pan et al [15] performed free vibration analysis of porous FG-GPLRC plates with different boundary conditions using FEM based on the classical thin plate theory (CPT). Meanwhile, the free vibration and buckling of sandwich plates with porous FG-GPLRC core and piezoelectric face sheets under aerodynamical load were investigated by Saidia et al [16] with the Galerkin approach based on the FSDT.…”

A Low-Cost, Portable, and Wireless In-Shoe System Based on a Flexible Porous Graphene Pressure Sensor

“…The graphene layer attaches to it and forms a dense, threedimensional conductive network, which can sensitively reflect changes in gait. Moreover, flexibility and air permeability, which are derived from the porous structure, are integrated into the sensor [33][34][35].…”