This study is mainly concerned with the analytical solutions of plastic bifurcation buckling of cylindrical shells under compressive load. The analysis is based on the J2 deformation theory with a linear hardening and proportional loading is adopted in the calculation. A symplectic solution system is established and Hamilton's governing equations are derived from the Hamilton variational principle. The basic problem in plastic buckling is converted into solving for the symplectic eigenvalues and eigensolutions, respectively. The obtained results reveal that boundary conditions have a very limited influence on bucking loads but its influence on buckling modes and plastic borders cannot be neglected. Meanwhile, it is demonstrated that the shell material properties significantly affect the plastic buckling behavior. This proposed symplectic method is shown to be a rigorous approach. It also provides a uniform and systematic way to any other similar problems.
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October 2013
Research-Article
An Analytical Symplecticity Method for Axial Compression Plastic Buckling of Cylindrical Shells
Jiabin Sun,
Jiabin Sun
1
e-mail: jiabin-sun@163.com
State Key Laboratory of Structure Analysis of Industrial Equipment,
Department of Engineering Mechanics,
State Key Laboratory of Structure Analysis of Industrial Equipment,
Department of Engineering Mechanics,
Dalian University of Technology
,Dalian 116024
, China
1Corresponding author.
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C. W. Lim
C. W. Lim
Department of Civil and
Architectural Engineering,
Architectural Engineering,
City University of Hong Kong
,Hong Kong, Kowloon
, China
Search for other works by this author on:
Jiabin Sun
e-mail: jiabin-sun@163.com
State Key Laboratory of Structure Analysis of Industrial Equipment,
Department of Engineering Mechanics,
State Key Laboratory of Structure Analysis of Industrial Equipment,
Department of Engineering Mechanics,
Dalian University of Technology
,Dalian 116024
, China
C. W. Lim
Department of Civil and
Architectural Engineering,
Architectural Engineering,
City University of Hong Kong
,Hong Kong, Kowloon
, China
1Corresponding author.
Contributed by the Pressure Vessel and Piping Division of ASME for publication in the Journal of Pressure Vessel Technology. Manuscript received August 9, 2012; final manuscript received May 24, 2013; published online September 16, 2013. Assoc. Editor: Spyros A. Karamanos.
J. Pressure Vessel Technol. Oct 2013, 135(5): 051204 (8 pages)
Published Online: September 16, 2013
Article history
Received:
August 9, 2012
Revision Received:
May 24, 2013
Citation
Xu, X., Sun, J., and Lim, C. W. (September 16, 2013). "An Analytical Symplecticity Method for Axial Compression Plastic Buckling of Cylindrical Shells." ASME. J. Pressure Vessel Technol. October 2013; 135(5): 051204. https://doi.org/10.1115/1.4024687
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