Abstract

Abstract This study dealt with geometrically nonlinear transient behaviors of carbon nanotube/fiber/polymer composite (CNTFPC) spherical shells containing a central cutout. A multiscale analysis using the Hewitt and Malherbe model was performed to determine the carbon nanotube (CNT)weight ratios, thickness-radius ratios, thickness-length ratios of CNTs, and cutout sizes. Based on the first-order shear deformation plate theory (FSDT),the Newmark method and Newton-Raphson iteration were used for the nonlinear dynamic solution. The proposed approach in this study has been verified by previous studies. Parametric results showed the significance of a proper CNT ratio and curvature for better structural performance on the nonlinear dynamic behaviors of CNTFPC spherical shells with a cutout.

Highlights

  • Carbon-based nanomaterials have been applied to various engineering fields because of their excellent mechanical properties

  • Zhu et al [7] studied the static and free vibration of functional graded(FG) carbon nanotube reinforced composite (CNTRC) plates according to the first-order shear deformation theory (FSDT), and the study was extended to the Levy method for the natural frequency analysis of FG-carbon nanotube (CNT) composites under inplane loads using the higher-order shear deformation plate theory (HSDT) [8]

  • We performed a nonlinear transient analysis of laminated carbon nanotube/fiber/polymer composite (CNTFPC) spherical shells containing a central cutout according to the first-order shear deformation plate theory (FSDT) model

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Summary

Introduction

Carbon-based nanomaterials have been applied to various engineering fields because of their excellent mechanical properties. Finite element nonlinear transient modelling of carbon nanotubes reinforced fiber/polymer composite studies were further extended to deal with the dynamic instability problems of FG-CNTRC cylindrical panels [13,14,15]. All of these studies were limited in their coverage of the CNT effects of CNTRC cylindrical panels without a cutout. The multi-scale nonlinear dynamic behaviors of CNTFPC laminated spherical shells with a central cutout was investigated. The significance of each parameter in predicting the geometrically dynamic nonlinearity of CNTFPC spherical shells with a cutout is investigated

Multiscale formulation for CNTFPC shells
Nonlinear transient modelling for CNTFPC spherical shells
Verification
CNTFPC spherical shells without a cutout
CNTFPC spherical shells with a cutout
Findings
Summary and conclusion
Full Text
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