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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 |
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Vol. 14 (2019), No. 3, 361–392
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Abstract |
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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
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Milestones
Received: 27 January 2019
Revised: 5 June 2019
Accepted: 12 June 2019
Published: 8 October 2019
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Authors |
| Shengbo Zhu | |
| State Key Laboratory of Structural
Analysis for Industrial Equipment and Department of Engineering
Mechanics Dalian University of Technology Dalian, 116023 China |
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| Yiwen Ni | |
| State Key Laboratory of Structural
Analysis for Industrial Equipment and Department of Engineering
Mechanics Dalian University of Technology Dalian, 116024 China |
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| 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 |
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| Zhenzhen Tong | |
| College of Locomotive and Rolling
Stock Engineering Dalian Jiaotong University Dalian, 116028 China |
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| 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 |
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| Xinsheng Xu | |
| Department of Engineering
Mechanics Dalian University of Technology State Key Laboratory for Structural Analysis for Industrial Equipment Dalian, 116024 China |
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