In designing a modern lightweight structure, it is of technical importance to assure its safety against buckling under the applied loading conditions. For this issue, the determination of the critical load in an ideal condition is not sufficient, but it is further required to clarify the postbuckling behavior, that is, the behavior of the structure after passing through the critical load. One of the reasons is to estimate the effect of practically unavoidable imperfections on the critical load, and the second reason is to evaluate the ultimate strength to exploit the load-carrying capacity of the structure. For the buckling problem of circular cylindrical shells under axial compression, a number of experimental and theoretical studies have been made by many researchers. In the case of the very thin shell that exhibits elastic buckling, experimental results show that after the primary buckling, secondary buckling takes place accompanying successive reductions in the number of circumferential waves at every mode shift on systematic (one-by-one) basis. In this paper, we traced this successive buckling of circular cylindrical shells using the latest in general-purpose FEM technology. We carried out our studies with three approaches: the arc-length method (the modified Riks method); the static stabilizing method with the aid of (artificial) damping especially, for the local instability; and the explicit dynamic procedure. The studies accomplished the simulation of successive buckling following unstable paths, and showed agreement with the experimental results.
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ASME 2009 Pressure Vessels and Piping Conference
July 26–30, 2009
Prague, Czech Republic
Conference Sponsors:
- Pressure Vessels and Piping
ISBN:
978-0-7918-4366-6
PROCEEDINGS PAPER
Postbuckling Analyses of Elastic Cylindrical Shells Under Axial Compression Available to Purchase
Takaya Kobayashi,
Takaya Kobayashi
Mechanical Design & Analysis Corporation, Chofu, Tokyo, Japan
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Yasuko Mihara
Yasuko Mihara
Mechanical Design & Analysis Corporation, Chofu, Tokyo, Japan
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Takaya Kobayashi
Mechanical Design & Analysis Corporation, Chofu, Tokyo, Japan
Yasuko Mihara
Mechanical Design & Analysis Corporation, Chofu, Tokyo, Japan
Paper No:
PVP2009-77350, pp. 745-754; 10 pages
Published Online:
July 9, 2010
Citation
Kobayashi, T, & Mihara, Y. "Postbuckling Analyses of Elastic Cylindrical Shells Under Axial Compression." Proceedings of the ASME 2009 Pressure Vessels and Piping Conference. Volume 3: Design and Analysis. Prague, Czech Republic. July 26–30, 2009. pp. 745-754. ASME. https://doi.org/10.1115/PVP2009-77350
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