Research Papers: Design and Analysis

Buckling of Cylinders With Imperfect Length

[+] Author and Article Information
J. Błachut

Institute of Physics,
Cracow University of Technology,
ul. Podchorążych 1,
Kraków 30-085, Poland

Contributed by the Pressure Vessel and Piping Division of ASME for publication in the JOURNAL OF PRESSURE VESSEL TECHNOLOGY. Manuscript received September 15, 2013; final manuscript received February 16, 2014; published online September 15, 2014. Assoc. Editor: Spyros A. Karamanos.

J. Pressure Vessel Technol 137(1), 011203 (Sep 15, 2014) (7 pages) Paper No: PVT-13-1163; doi: 10.1115/1.4027246 History: Received September 15, 2013; Revised February 16, 2014

Eighteen mild steel cylinders with the length-to-radius ratio, L/R ≈ 2.4 and with the radius-to-wall thickness ratio, R/t ≈ 185 were collapsed by axial compression. Cylinders had variable length at one end of sinusoidal profile. The magnitude of axial imperfection-to-wall thickness ratio, 2A/t, was varied between 0.05 and 1.0. Experimental results show that buckling strength strongly depends on the axial amplitude of imperfection. On average imperfect cylinders, with 2A/t = 1.0, are able to support 49% of experimental buckling load obtained for geometrically perfect model. The largest sensitivity of buckling strength was associated with small amplitude of imperfection in axial length. For example, for axial length imperfection amounting to 25% of wall thickness the buckling strength was reduced by 40%. It appears that the number of sinusoidal waves in the imperfection profile plays a secondary role, i.e., its role in reducing the buckling strength is not a dominant factor. The paper provides experimental details and comparisons with numerical results.

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Albus, J., Gomez-Garcia, J., and Ory, H., 2001, “Control of Assembly Induced Stresses and Deformations Due to Waviness of the Interface Flanges of the ESC-A Upper Stage,” Proceedings of 52nd International Astronautical Congress, Toulouse, pp. 1–9.
Libai, A., and Durban, D., 1977, “Buckling of Cylindrical Shells Subjected to Nonuniform Axial Loads,” ASME J. Appl. Mech., 44, pp. 714–720. [CrossRef]
Guggenberger, W., 1991, “Buckling of Cylindrical Shells Under Local Axial Loads,” Buckling of Shell Structures, on Land, in the Sea and in the Air, J. F.Jullien, ed., Elsevier Applied Science, London, pp. 323–333.
Guggenberger, W., Greiner, R., and Rotter, J. M., 2000, “The Behaviour of Locally-Supported Cylindrical Shells: Unstiffened Shells,” J. Constr. Steel, 56, pp. 175–197. [CrossRef]
Krasovsky, V., 1993, “Nonlinear Effects in the Behaviour of Cylindrical Shells Under Nonuniform Axial Compression, Experimental Results,” Proceedings of the 2nd International Conference on Nonlinear Mechanics,” Aug. 23–26, Beijing, pp. 245–248.
Teng, J. G., and Rotter, J. M., 1992, “Linear Bifurcation of Perfect Column-Supported Cylinders: Support Modelling and Boundary Conditions,” Thin-Walled Struct., 14, pp. 241–263. [CrossRef]
Ory, H., and Reimerdes, H. G., 1987, “Stresses in and Stability of Thin Walled Shells Under Non-Ideal Load Distribution,” Stability of Plate and Shell Structures, P.Dubas, P., and D.Vandepitte, eds., Ghent University, Belgium, pp. 555–560.
Kamyab, H., and Palmer, S. C., 1991, “Displacements in Oil Storage Tanks Caused by Localised Differential Settlement,” ASME J. Pressure Vessel Technol., 113, pp. 71–80. [CrossRef]
Lancaster, E. R., Calladine, C. R., and Palmer, S. C., 2000, “Paradoxical Buckling Behaviour of a Cylindrical Shell Under Axial Compression,” Int. J. Mech. Sci., 42, pp. 843–865. [CrossRef]
Błachut, J., 2010, “Buckling of Axially Compressed Cylinders With Imperfect Length,” Comput. Struct., 88, pp. 365–374. [CrossRef]
Galletly, G. D., and Błachut, J., 1990, “Axially Compressed Cylindrical Shells—A Comparison of Experiment and Theory,” Inelastic Solids and Structures, M.Kleiber and J. A.König, eds., Pineridge Press, Swansea, pp. 257–276.
Bushnell, D., 1976, “Bosor5: Program for Buckling of Elastic-Plastic Complex Shells of Revolution Including Large Deflections and Creep,” Comput. Struct., 6, pp. 221–239. [CrossRef]
Hibbitt, Karlsson, and Sorensen, ABAQUS—Theory and Standard User's Manual Version 6.3, 2006, Pawtucket, RI, 02860–4847.
Ifayefunmi, O., 2011, “Combined Stability of Conical Shells,” Ph.D. thesis, The University of Liverpool, Liverpool, UK.


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Fig. 3

Computed modes of failure

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Fig. 2

Illustration of collapse (model “1B”), and bifurcation (model “7”)

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Fig. 1

Geometry of steel cylinder and view of the top end of test model

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Fig. 11

Load-deflection curves for imperfect models

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Fig. 12

Collapsed models with small and large axial imperfections at the top

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Fig. 4

Scatter of wall thickness along length

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Fig. 5

Variation of axial length in “perfect” models

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Fig. 6

Typical variation of wall thickness

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Fig. 7

Waviness of axial length

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Fig. 8

The FE model and test model

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Fig. 9

Experimental boundary conditions and view of test model

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Fig. 10

Load-deflection curves for nominally perfect models

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Fig. 13

Imperfection sensitivity



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