Abstract

This paper carries out forced vibration analysis of graphene nanoplatelet‐reinforced composite laminated shells in thermal environments by employing the finite element method (FEM). Material properties including elastic modulus, specific gravity, and Poisson’s ratio are determined according to the Halpin–Tsai model. The first‐order shear deformation theory (FSDT), which is based on the 8‐node isoparametric element to establish the oscillation equation of shell structure, is employed in this work. We then code the computing program in the MATLAB application and examine the verification of convergence rate and reliability of the program by comparing the data of present work with those of other exact solutions. The effects of both geometric parameters and mechanical properties of materials on the forced vibration of the structure are investigated.

Highlights

  • Nowadays, due to the development of science and technology, a variety of new materials have been applied widely to engineering applications such as composite materials, functionally graded materials (FGM), and piezoelectric materials (PZT)

  • graphene nanoplatelet (GPL) reinforcement for composite materials (GPLRC) has been manufactured by Stankovich et al [3,4,5]. e investigations found that only a small amount of GPL in the material could significantly improve contemporaneously its physical characteristics [6, 7]

  • In comparison with conventional composite materials containing more than 60% carbon fiber by the volume, GPLRC contains only a low graphene nanoplatelet (GPL) ratio (0.5%–20% weight) [8,9,10]. erefore, GPLRC is concerned by many scientists all over the world

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Summary

Introduction

Due to the development of science and technology, a variety of new materials have been applied widely to engineering applications such as composite materials, functionally graded materials (FGM), and piezoelectric materials (PZT). E linear buckling and nonlinear buckling of multilayer beam structures reinforced by GPL with the Halpin–Tsai model were studied by Yang and his co-workers [15], where effects of material characteristics of each component on the vibration of the structure are examined. Feng and his colleagues [16] developed a relatively complete investigation of nonlinear static bending of multilayer beams reinforced with graphene.

Finite Element Formulations
Numerical Examples and Discussion
Verification Examples
Findings
Conclusions

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