Combined load buckling for cylindrical shells based on a symplectic elasticity approach

Jiabin Sun; Xinsheng Xu; C. W. Lim

doi:10.15632/jtam-pl.54.3.705

Combined load buckling for cylindrical shells based on a symplectic elasticity approach

Jiabin Sun^*, Xinsheng Xu, C. W. Lim

^*Corresponding author for this work

Research output: Journal Publications and Reviews › RGC 21 - Publication in refereed journal › peer-review

5 Citations (Scopus)

15 Downloads (CityUHK Scholars)

Abstract

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.

Original language	English
Pages (from-to)	705-716
Journal	Journal of Theoretical and Applied Mechanics (Poland)
Volume	54
Issue number	3
DOIs	https://doi.org/10.15632/jtam-pl.54.3.705
Publication status	Published - 2016

Research Keywords

Buckling mode
Combined loads
Critical load
Cylindrical shell
Symplectic method

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This full text is made available under CC-BY-NC 3.0. https://creativecommons.org/licenses/by-nc/3.0/

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title = "Combined load buckling for cylindrical shells based on a symplectic elasticity approach",

abstract = "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.",

keywords = "Buckling mode, Combined loads, Critical load, Cylindrical shell, Symplectic method",

author = "Jiabin Sun and Xinsheng Xu and Lim, {C. W.}",

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language = "English",

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TY - JOUR

T1 - Combined load buckling for cylindrical shells based on a symplectic elasticity approach

AU - Sun, Jiabin

AU - Xu, Xinsheng

AU - Lim, C. W.

PY - 2016

Y1 - 2016

N2 - 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.

AB - 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.

KW - Buckling mode

KW - Combined loads

KW - Critical load

KW - Cylindrical shell

KW - Symplectic method

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U2 - 10.15632/jtam-pl.54.3.705

DO - 10.15632/jtam-pl.54.3.705

M3 - RGC 21 - Publication in refereed journal

SN - 1429-2955

VL - 54

SP - 705

EP - 716

JO - Journal of Theoretical and Applied Mechanics (Poland)

JF - Journal of Theoretical and Applied Mechanics (Poland)

IS - 3

ER -

Combined load buckling for cylindrical shells based on a symplectic elasticity approach

Abstract

Research Keywords

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