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.
An Analytical Symplecticity Method for Axial Compression Plastic Buckling of Cylindrical Shells
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.
- Views Icon Views
- Share Icon Share
- Cite Icon Cite
- Search Site
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
Download citation file:
- Ris (Zotero)
- Reference Manager