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Semi-analytical solutions of free and force vibration behaviors of GRC-FG cylindrical shells

  • Lei, Zuxiang (Institute of Geotechnical Engineering, School of Civil Engineering and Architecture, East China Jiaotong University) ;
  • Tong, Lihong (Institute of Geotechnical Engineering, School of Civil Engineering and Architecture, East China Jiaotong University)
  • Received : 2019.04.29
  • Accepted : 2019.08.03
  • Published : 2019.09.10

Abstract

In this paper, free and force vibration behaviors of graphene-reinforced composite functionally graded (GRC-FG) cylindrical shells in thermal environments are investigated based on Reddy's third-order shear deformation theory (HSDT). The GRC-FG cylindrical shells are composed of piece-wise pattern graphene-reinforced layers which have different volume fraction. Based on the extended Halpin-Tsai micromechanical model, the effective material properties of the resulting nanocomposites are evaluated. Using the Hamilton's principle and the assumed mode method, the motion equation of the GRC-FG cylindrical shells is formulated. Using the time- and frequency-domain methods, free and force vibration properties of the GRC-FG cylindrical shell are analyzed. Numerical cases are provided to study the effects of distribution of graphene, shell radius-to-thickness ratio and temperature changes on the free and force vibration responses of GRC-FG cylindrical shells.

Keywords

Acknowledgement

Supported by : National Natural Science Foundation of China

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