Abstract
In this paper the elastic stability and imperfection sensitivity of axially loaded cylindrical shells on narrow discrete supports is explored. This is done by parametric geometrically nonlinear finite element analyses of the perfect and imperfect cylinders up to the critical load maxima. In addition, classical buckling eigenvalues are computed for reference purposes. The obtained numerical results are plotted in a systematic unified way and related curve-fit expressions are developed for the critical load maxima in dependency of the geometrical parameters of the problem. The support width, the shell slenderness and the type of local support, i.e. flexible versus rigid local support conditions, are varied. The present basic investigation is restricted to shells with linear-elastic material behaviour. The study of the buckling behaviour for narrow local supports, including the limiting case of point supports is of special concern. Strictly speaking, point supports exist only in the mathematical limit, since the stress singularities which occur in this case are mere artefacts and have no direct physical significance. But it turns out that the local buckling behaviour, like shape and evolution of buckles, magnitude of buckling loads etc. tends to an invariant typical limiting scenario, which is surprising but understandable at the same time. This typical local mono–modal buckling scenario, which is also investigated and presented in this paper, may be viewed as the counterpart to the well–known multi–modal characteristic global buckling scenario which occurs under uniform axial compression.
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References
Antoine PA (2000) Comportement des coques cylindriques minces sous chargements combines: vers une amelioration du dimensionnement sous flexion et pression interne. PhD Thesis, INSA de Lyon, Lyon, France 2000
EN 1993–1–6 (2004). Eurocode 3: Design of Steel Structures, Part 1.6: General Rules: Strength and Stability of Shell Structures, CEN, Rue de Strassart, Brussels, Belgium
Fuji F, Noguchi H, Ramm E (2000) Static path jumping to attain postbuckling equilibria of a compressed circular cylinder, Comp Mech 26:259–266
Guggenberger W (1992) Nonlinear buckling behaviour of circular cylindrical shells under local axial loads, Doctoral Dissertation (in German), Institute for Steel and Shell Structures, Report No. 6, Graz University of Technology, Austria
Guggenberger W (1998) Proposal for design rules of axially loaded steel cylinders on local supports. Thin Wall Struct 31:169–185
Guggenberger W, Greiner R, Rotter JM (2000) The behaviour of locally–supported cylindrical shells: unstiffened shells. J Constr Steel Res 56(2):175–197
Guggenberger W (2004) Cylindrical shells above local supports. In: Buckling of thin metal shells. Teng J G, Rotter J M (eds) Spon Press, London, pp. 88–128
Hibbit D, Karlsson G, Sorensens P (2003) ABAQUS Version 6.3, Theory and Users Manuals. Pawtucket, Rhode Island
Hoff NJ (1960) The perplexing behaviour of thin circular cylindrical shells in axial compression. Israel. J Tech 4(1): 1–28
Hoff NJ, Chao CC, Madsen WA (1964) Buckling of a thin-walled circular cylindrical shell heated along an axial strip. J Appl Mech pp. 253–258
Hotala E (1986) Stability of cylindrical metal shells of silos with circumferential stiffeners (in Polish). Doctoral Dissertation, Technical University of Wroclaw, Poland
Hotala E (1996) Stability of cylindrical steel shells under local axial compression. In: Proceedings ``European Workshop on Thin-Walled Steel Structures'', 26–27 September, Krzyzowa, Poland, pp. 61–68
Hunt GW, Lucena Neto E (1991) Localized buckling in long axially–loaded cylindrical shells. J Mech Phys Solids, 39(7): 881–894
Mandal P, Calladine CR (2000) Buckling of thin cylindrical shells under axial compression. Int J Solids and Struct 37(33): 4509–4525
Rathé J, Greiner R (1996) Local Loads in Cylindrical Structures, Subproject B of ECSC Contract No. 7210–SA/208: Enhancement of ECCS Design Recommendations and Development of Eurocode 3 Parts Related to Shell Buckling. Final Report, University of Gent, Belgium, May 1996
Rotter JM, Teng JG (1989) Elastic stability of cylindrical shells with weld depressions. ASCE J Struct Eng 115(5): 1244–1263
She KM, Rotter JM (1993) Nonlinear and Stability Behaviour of Discretely Supported Cylinders. Research Report 93-01, Dept Civil Eng, University of Edinburgh, March
Teng JG, Rotter JM (1992) Linear bifurcation of column–supported perfect cylinders: support modelling and boundary conditions. J Thin Wall Struct 14: 241–263
Yamaki N (1984) Elastic Stability of Circular Cylindrical Shells, North Holland, Elsevier Applied Science Publishers, Amsterdam
Yoshimura Y (1955) On the Mechanism of Buckling of a Circular Cylindrical Shell under Axial Compression NACA, TM 1390
Zhu E, Mandal P, Calladine CR (2002) Buckling of thin cylindrical shells: an attempt to resolve a paradox. Int J Mech Sci 44: 1583–1601
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Guggenberger, W. Elastic stability and imperfection sensitivity of axially loaded cylindrical shells on narrow supports. Comput Mech 37, 537–550 (2006). https://doi.org/10.1007/s00466-005-0734-x
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DOI: https://doi.org/10.1007/s00466-005-0734-x