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.
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State Key Laboratory of Structural
Analysis for Industrial Equipment and Department of Engineering
Mechanics
Dalian University of Technology
Dalian, 116023
China
State Key Laboratory of Structural
Analysis for Industrial Equipment and Department of Engineering
Mechanics
Dalian University of Technology
Dalian, 116024
China
State Key Laboratory of Structural
Analysis for Industrial Equipment and School of Ocean Science
and Technology
Dalian University of Technology
Panjin, 124221
China
State Key Laboratory of Structure
Analysis for Industrial Equipment and Department of Engineering
Mechanics
Dalian University of Technology
Dalian, 116024
China
Department of Engineering
Mechanics
Dalian University of Technology
State Key Laboratory for Structural Analysis for Industrial
Equipment
Dalian, 116024
China