Combined load buckling for cylindrical shells based on a symplectic elasticity approach
Jiabin Sun 1  
,   Xinsheng Xu 2,   C.W. Lim 3
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State Key Laboratory of Structure Analysis for Industrial Equipment and School of Ocean Science and Technology, Dalian University of Technology, Panjin
State Key Laboratory of Structure Analysis of Industrial Equipment and Department for Engineering Mechanics, Dalian University of Technology, Dalian
Department of Civil and Architectural Engineering, City University of Hong Kong
Publication date: 2015-11-17
Journal of Theoretical and Applied Mechanics 2016;54(3):705–716
Buckling behavior of cylindrical shells subjected to combined pressure, torsion and axial compression is presented by employing a symplectic method. Both symmetric and non-symmetric boundary conditions are considered. Hamiltonian canonical equations are established by introducing four pairs of dual variables. Then, solution of fundamental equations is converted into a symplectic eigenvalue problem. It is concluded that the influence of pressure on buckling solutions is more significant than that due to compressive load, in particular for a longer external pressured cylindrical shell. Besides, buckling loads and circumferential wavenumbers can be reduced greatly by relaxed in-plane axial constraints.