Vol. 14, No. 3, 2019

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Accurate buckling analysis of piezoelectric functionally graded nanotube-reinforced cylindrical shells under combined electro-thermo-mechanical loads

Shengbo Zhu, Yiwen Ni, Jiabin Sun, Zhenzhen Tong, Zhenhuan Zhou and Xinsheng Xu

Vol. 14 (2019), No. 3, 361–392
Abstract

An accurate axial buckling analysis of piezoelectric functionally graded nanotube-reinforced composite cylindrical shells under combined electro-thermo-mechanical loads is performed in the Hamiltonian system. The Hamiltonian form of governing buckling equations is established based on the symplectic geometry and Reissner’s shell theory. Exact solutions are expressed in terms of symplectic eigenfunctions which have five possible forms. A detailed parametric study is conducted to demonstrate the influences of geometrical parameters, boundary conditions, reinforcement nanotubes and their distribution patterns on the symplectic eigenfunctions. Furthermore, the effects of distribution patterns of nanotubes, electric voltage and temperature rise on critical buckling stresses are investigated.

Keywords
axial buckling, functionally graded materials, piezoelectric nanotube-reinforced composite, cylindrical shell, analytical solution, symplectic method
Milestones
Received: 27 January 2019
Revised: 5 June 2019
Accepted: 12 June 2019
Published: 8 October 2019
Authors
Shengbo Zhu
State Key Laboratory of Structural Analysis for Industrial Equipment and Department of Engineering Mechanics
Dalian University of Technology
Dalian, 116023
China
Yiwen Ni
State Key Laboratory of Structural Analysis for Industrial Equipment and Department of Engineering Mechanics
Dalian University of Technology
Dalian, 116024
China
Jiabin Sun
State Key Laboratory of Structural Analysis for Industrial Equipment and School of Ocean Science and Technology
Dalian University of Technology
Panjin, 124221
China
Zhenzhen Tong
College of Locomotive and Rolling Stock Engineering
Dalian Jiaotong University
Dalian, 116028
China
Zhenhuan Zhou (corresponding author)
State Key Laboratory of Structure Analysis for Industrial Equipment and Department of Engineering Mechanics
Dalian University of Technology
Dalian, 116024
China
Xinsheng Xu
Department of Engineering Mechanics
Dalian University of Technology
State Key Laboratory for Structural Analysis for Industrial Equipment
Dalian, 116024
China