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Journal of Zhejiang University SCIENCE A 2002 Vol.3 No.5 P.520~531

http://doi.org/10.1631/jzus.2002.0520


Buckling of un-stiffened cylindrical shell under non-uniform axial conpressive stress


Author(s):  SONG Chang-yong

Affiliation(s):  Department of Civil Engineering, Zhejiang University, Hangzhou 310027, China

Corresponding email(s):   98900042R@Polyu.edu.HK

Key Words:  Shell, Buckling, Axial compression, Non-uniform stress


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SONG Chang-yong. Buckling of un-stiffened cylindrical shell under non-uniform axial conpressive stress[J]. Journal of Zhejiang University Science A, 2002, 3(5): 520~531.

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Abstract: 
This paper provides a review of recent research advances and trends in the area of stability of unstiffened circular cylindrical shells subjected to general non-uniform axial compressive stresses. Only the more important and interesting aspects of the research, judged from a personal viewpoint, are discussed. They can be crudely classified into four categories: (1) shells subjected to non-uniform loads; (2) shells on discrete supports; (3) shells with intended cutouts/holes; and (4) shells with non-uniform settlements.

Darkslateblue:Affiliate; Royal Blue:Author; Turquoise:Article

Reference

[1] Aguado, P., Ayuga, F., Guaita, M., Gutierrez, P., Moran, J., Juan, A., 1999. Predicting stress fields in agricultural silos during discharging. Proc, 1999 ASAE/CSAE Annu. Int. Meeting, ASAE, St. Joseph, Mich.

[2] Allen, M.F., 1989. Testing, evaluation and repair methods for structural stability of coal silos. Proc., 51th American Power Conference, p.788-797.

[3] Almroth, B.O., Holmes, A.M., 1972. Buckling of shells with cutouts: Experimental and analysis. Int. J. Solids Structures, 8: 1057-1066.

[4] Australian Standard (AS1170.2, 1989). SAA Loading Code Part 2: Wind Loads.

[5] Australian Standard (AS3774-1996, 1996). Loads on Bulk Solids Containers.

[6] Babcock, C.D., 1983. Shell stability. J. Appl.Mech., ASME, 50: 935-940.

[7] Bai, Y., Hauch, S., 1998. Analytical collapse of corroded pipes. Proc., 8th Int. Offshore and Polar Engineering Conf., Montreal, Canada, 24-29 May, Vol. 2, p.182-188.

[8] Bai, Y., Hauch, S., Jensen, J.C., 1999. Local buckling and plastic collapse of corroded pipes with yield anisotropy. Proc., 9th Int. Offshore and Polar Engineering Conf, Brest, France, May 3-June 4, Vol. 2, p.74-81.

[9] Bai, Y., 2001. Pipelines and Risers. Elseview Science Ltd, The Boulevard, Langford Lane, Kidlington, Oxford OX5 1GB, UK.

[10] Baniotopoulos, C.C., 1996. Saddle-supported pipelines: influence of unilateral support and thickness on the stress state. Int. J. Pressure Vessels and Piping, 67: 55-64.

[11] Bijlaard, P.P., Gallagher, R.H., 1959. Elastic instability of a cylindrical shell under arbitrary circumferential variation of axial stresses. J. Aero. Sci., 27(11): 854-858,866.

[12] Blight, G.E., Gohnert, M., 1993. Effects of varying horizontal pressure in cylindrical silos. Powder Handling & Processing, 5(4): 337-340.

[13] Borcz, A., Rahim, A., 1991. Wall pressure measurements in eccentrically discharged cement silos. Bulk Solids Handling, 11(2): 469-476.

[14] Brazier, L.G., 1926. On the flexure of thin cylindrical shells and other sections. Proc. R. Soc. A CXVI: p.104-114.

[15] Briassoulis, D., 2000. Finite element analysis of a cylindrical silo shell under unsymmetrical pressure distributions. Computers & Structures, 78: 271-281.

[16] British Standard BS5500, 1997. Specification for Unfired Fusion Pressure Vessels, British Standard Institution, London.

[17] Brown, C.J., 1996. Effect of Patch Loads on Rectangular Metal Silos and Annex. Dept. Mechanical Engineering, Brunel University, Uxbridge, UK.

[18] Brown, C.J., Nielsen, J., 1998. Silos-Fundamentals of Theory, Behavior and Design. E & FN Spon, London.

[19] Buchert, K.P., 1967. Discussion of ‘Denting of circular bins with eccentric drawpoints’. Journal of Structural Division, ASCE, 93, ST3.

[20] Bucklin, R.A., Thompson, S.A., Ross, I.J., 1990. Bin-wall failure caused by eccentric discharge of free-flowing grain. Journal of Structural Engineering, ASCE, 116(11): 3175-3190.

[21] Budiansky, B., Hutchinson, J.W., 1966. A survey of some buckling problems. AIAA J., 4(9): 1505-1510.

[22] Bushnell, D., 1981. Buckling of shells-pitfall for designers. AIAA J., 19(9): 1183-1226.

[23] Calladine, C.R., Barber, J.N., 1970. Simple experiments on self-weight of open cylindrical shells. J. Appl. Mech, ASME, 1150-1151.

[24] Calladine, C.R., 1983. Plastic Buckling of Tubes in Pure Bending. In: Collapse, J.M.T., Thompson and G.W. Hunt (Eds.), Cambridge Univ. Press.

[25] Calladine, C.R., 1995. Understanding imperfection-sensitivity in the buckling of thin-walled shells. Thin-Walled Structures, 23: 213-235.

[26] Chan, G..C.M., Tooth,A.S., Spence, J., 1998., A study of the buckling behavior of horizontal saddle supported vessels. Thin-Walled Structures, 30(1-4): 3-22.

[27] Chen, J.F., Rotter, J.M., Ooi, J.M., 1998. A review of numerical prediction methods for silo wall pressures. Advances in Structural Engineering, 2(2): 119-135.

[28] Chien, H., Tu.S., 1988. The contact stress analysis of pad-reinforced structures. Journal of Pressure Vessel Technology, 110: 182-187.

[29] Clercq, H. De, 1990. Investigation into stability of a silo with concentric and eccentric emptying. Civil Engineer in South Africa, 32(3): 103-107.

[30] Colijin, H., Peschl, I.A.S.Z., 1981. Non-symmetric bin flow problems. Bulk Solids Handling, 1(3): 377-384.

[31] Corona, E., Kyriakides, S., 2000. Asymmetric collapse modes of pipes under combined bending and external pressure. Journal of Engineering Mechanics, ASCE, 126(12): 1232-1239.

[32] Dhanens, F., Lagae, G., Rathe, J. Van lmpe, R., 1993. Stress in and buckling of unstiffened cylinders subjected to local axial loads. J. Construct. Steel Res., 27: 89-106.

[33] DIN 18800-4, 1990. Structural Steelwork; Analysis of Safety against Buckling of Shells.

[34] DIN 1055, Part 6, 1987. Design Loads for Buildings: Loads in Silo Bins.

[35] D'Orazio, T.B., Duncan, J.M., Bell, R.A., 1989. Distortion of steel tanks due to settlement of their walls. Journal of Geotechnical Engineering, ASCE, 115: 871-890.

[36] Durban, D., Libai, A., 1976. Influence of thickness on the stability of circular cylindrical shells subjected to non-uniform axial compression. Israel J. Tech., 14: 9-17.

[37] Durban, D., Ore, E., 1999. Plastic buckling of circular cylindrical shells under non-uniform axial loads. J. Appl. Mech., ASME, 66: 374-379.

[38] Duthie, G., Tooth, A.S., 1977. The analysis of horizontal cylindrical vessels supported by saddles welded to the vessel - a comparison of theory and experiment. Proc., 3rd Int. Conf. on Pressure Vessel Technology, ASME, Tokyo, p.25-38.

[39] Eggwertz, S., Samuelson, L.A., 1991. Buckling of shells with local reinforcements. In: Buckling of Shell Structures, on Land, in the Sea and in the Air, J.F. Jullien (Ed.), Elsevier Applied Science, London and New York, p.401-408,40.

[40] Emmerling, F.A., 1984. Flexible Shells. Springer, Berlin.

[41] ECCS, 1988. Buckling of Steel Shells: European Recommendation. 4th Edition. European Convention for Constructional Steel work, Brussels.

[42] Eurocode 1 (ENV1991-4), 1995. Basis of Design and Actions on Structures. Part 4: Actions in Silo and Tanks. European Committee for Standardisation, Brussels.

[43] Eurocode 3 (ENV1993-1-6), 1999. Design of Steel Structures. Part 1-6: General Rules. European Committee for Standardisation, Brussels.

[44] Fabian, O., 1977. Collapse of cylindrical, elastic tubes under combined bending, pressure and axial loads. Int. J. Solids Structures, 13: 1257-1270.

[45] Fabian, O., 1981. Elastic-plastic collapse of long tubes under combined bending and pressure load. Ocean Engineering, 8(3): 295-330.

[46] Flugge, W., 1960. Stresses in Shells, Springer-Verlag, Berlin.

[47] Fung, Y.C., Sechler, E.E., 1960. Instability of thin elastic shells. In: Proc., First Symp. Naval Struct. Mech, J. N., Goodoer and N.J. Hoff (Eds.), Pergamon, Elmsford, N.Y., p.115-168.

[48] GBJ 9-87, 1987. Chinese Standard: Loading Code for Buildings (in Chinese).

[49] Gellin, S., 1980. The plastic buckling of long cylindrical shells under pure bending. Int. J. Solids Structures, 16: 397-407.

[50] Greiner, R., Derler, P., 1995. Effect of imperfections on wind-loaded cylindrical shells. Thin-Walled Structures, 23: 271-281.

[51] Greiner, R., Guggenberger, W., 1996. Stability of column-supported steel cylinders, Proc., IASS Asia-Pacific Conf. on Shell and Special Structures, Beijing.

[52] Greiner, R., Guggenberger, W., 1998. Buckling behavior of axially loaded steel cylinders on local supports-with and without internal pressure. Thin-Walled Structures, 31: 159-167.

[53] Guggenberger, W., 1991. Buckling of cylindrical shells under local axial loads. In: Buckling of Shell Structures, on Land, in the Sea and in the Air, J.F. Jullien (Ed.), Elsevier Applied Science, London and New York, p.323-333.

[54] Guggenberger, W., 1996. Patch Loads and Their Use in Metal Silo Design-Strand 3: Effect of Patch Loads on Stiffened Circular Cylindrical Silos. Under the auspices of WG3 of CA-Silo, Institute for Steel, Timber and Shell Structures, Technical University Graz, Austria.

[55] Guggenberger, W., 1997. Collapse, failure analysis and repair of a high-tensile steel digester tank. Proc., Int. Conf. on Carrying Capacity of Steel Shell Structures, V. Krupka and P. Schneider (Eds.), Oct. 1-3, Brno, Czech Republic.

[56] Guggenberger, W., 1998. Proposal for design rules of axially loaded steel cylinders on local supports. Thin-Walled Structures, 31: 169-185.

[57] Guggenberger, W., Greiner, R., Rotter, J.M., 2000. The behavior of locally-supported cylindrical shells: Unstiffened shells. J. Construct. Steel Res., 56: 175-197.

[58] Guggenberger, W., Greiner, R., Rotter, J.M., 2002. Cylindrical shells above local supports. In: Buckling of Thin Metal Shells, J. G., Teng and J. M., Rotter (Eds.), E& FN Spon, London (in Press)

[59] Hauch, S., Bai, Y., 2000. Bending moment capacity of groove corroded pipes. Proc., 10th Int. Offshore and Polar Engineering Conf, Seattle, USA, May 27-June 3, Vol.2, p.253-262.

[60] Hilburger, M.W., Britt, V.O., Nemeth, M.P., 2001. Buckling behavior of compression-loaded quasi-isotropic curved panels with a circular cutout. Int. J. Solids Structures, 38: 1495-1522.

[61] Hoff, N.J., Chao, C.-C., Madsen, W.A., 1964. Buckling of a thin-walled circular cylindrical shell heated along an axial strip.J. Appl., Jun., 253-258.

[62] Hoff, N., 1966. The perplexing behavior of thin circular cylindrical shells under axial compression. Israel Journal of Technology, 4(1): 1-28.

[63] Holst, J.M.F.G., Ooi, J.M., Rotter, J.M., Rong G.H., 1999a. Numerical modeling of silo filling. I: Continuum analysis. J. Engng. Mech., ASCE, 125(1): 94-103.

[64] Holst, J.M.F.G., Ooi, J.M., Rotter, J.M., Rong G.H., 1999b. Numerical modeling of silo filling. II: Discrete element analysis. J. Engng. Mech., ASCE, 125(1): 104-110.

[65] Horabik, J., Ross, I.J., Schwab, C.V., 1992. Non-symmetrical loads in a model grain bin during eccentric discharge. ASAE, 35(3): 987-992.

[66] Hutchinson, J.W., Koiter, W.T., 1970. Post-buckling theory. Applied Mechanics Review, 23(12): 1353-1366.

[67] Igland, R., Moan, T., 2000. Reliability analysis of pipelines during laying, considering ultimate strength under combined loads. J. Offshore Mechanics and Arctic Engineering, 122(1): 40-46.

[68] ISO 11697, 1995: Bases for design of structures-loads due to bulk materials.

[69] Jenike, A.W., 1967. Denting of circular bins with eccentric drawpoints. J. Structural Division, ASCE, ST1, 27-35.

[70] Jenkyn, R.T., Goodwill, D.J., 1987. Silo failures: lessens to be learned. Engineering Digest, Sept, 17-22.

[71] Jones, D.J., 1983. Wind-induced static instability of cylindrical shells. Journal of Wind Engineering and Industrial Aerodynamics, 13: 261-270.

[72] Jonaidi, M., Ansourian, P., 1998. Harmonic settlement effects on uniform and taped tank shells. Thin-Walled Structures, 31: 237-255.

[73] Jonaidi, M., Ansourian, P., 2000. Buckling behavior of closed and open top cylindrical shells subjected to meridional edge deformation. In: Coupled Instabilities in Metal Structures, D., Camotim, D., Dubina and J., Rondal (Eds.), Imperial College Press.

[74] Ju. G.T., Kyriakides, S., 1992. Bifurcation and localization instabilities in cylindrical shells under bending - II: Predictions. Int. J. Solids Structures, 29: 1143-1171.

[75] Jullien, J.F., Limam, A., 1998. Effects of openings of the buckling of cylindrical shells subjected to axial compression. Thin-Walled Structures, 31: 187-202.

[76] Kemp, A. R., 1990a. Resistance of steel silos to induced load effects. The Civil Engineer in South Africa, 32(8): 311-315.

[77] Kemp, A.R., 1990b. Strength of pipes continuous over a series of saddle supports. J. Construct. Steel Res., 15(3): 233-248.

[78] Kendrick, S., Tooth, A.S., 1986. The buckling behavior of a horizontal vessel on loose saddles: A buckling assessment of the support region. J. Strain Analysis, 21(1): 45-50.

[79] Knight, N.F. Jr., Starnes, J.H. Jr., 1997. Developments in cylindrical shell stability analysis. AIAA-97-1076, p.1933-1948.

[80] Krupka, V., 1991a. The background to a new design proposal for saddle supported vessels. Int. J. Pressure Vessels and Piping, 46: 51-65.

[81] Krupka, V., 1991b. Buckling and plastic punching of circular cylindrical shell due to saddle or lug loads. In: Buckling of Shell Structures, on Land, in the Sea and in the Air, J. F. Jullien (Ed.), Elsevier Applied Science, London and New York, p.11-20.

[82] Krupka, V., 1994. Saddle and lug supported tanks and vessels. Proc. Instn. Mech. Engrs, 208: 17-21.

[83] Kamyab, H., Palmer, S.C., 1989. Analysis of displacements and stresses in oil storage tanks caused by differential settlement. Proc. Instn. Mech. Engrs, Part C, 203: 60-70.

[84] Kyriakides, S., Ju. G.T., 1992. Bifurcation and localization instabilities in cylindrical shells under bending - I: Experiments. Int. J. Solids Structures, 29: 1117-1142.

[85] Libai, A., Durban, D., 1973. A method for approximate stability analysis and its application to circular cylindrical shells under circumferentially varying edge loads. J. Appl. Mech., ASME, Dec., 971-976.

[86] Libai, A., Durban, D., 1977. Buckling of cylindrical shells subjected to non-uniform axial loads. J. Appl. Mech., ASME, 714-720.

[87] Malik, Z., Morton, J., Ruiz, C., 1977. Ovalization of cylindrical tanks as a result of foundation settlement. J. Strain Analysis, 12: 339-348.

[88] Mandal, P., Calladine, C.R., 2000. Buckling of thin cylindrical shells under axial compression. Int. J. Solids Structures, 37: 4509-4525.

[89] Marr, W.A., Ramos, J.A., Lambe, T.W., 1982. Criteria for settlement of tanks. Journal of Geotechnical Engineering Division, Proc. ASCE, 18, GT8: 1017-1039.

[90] McLean, A.G., Bravin, B., 1985. Wall loads in eccentric discharge silos. Int. J. Bulk Solids Storage in Silos, 1(1): 12-24.

[91] Miller, C.D., 1982. Experimental study of the buckling of cylindrical shells with reinforced openings. ASME/ANS Nuclear Engineering Conf., Portland, Oregon, July., p.7-18.

[92] Miller, C.D., Grove, R.B., Vojta, J.F., 1983. Design of stiffened cylinders of offshore structures (CBI Industries Inc.). AWS Welded Offshore Structures Conf., New Orleans, Louisiana, Dec., p.19-64.

[93] Montague, P., Horne, M.R., 1981. The behavior of circular tubes with large openings subjected to axial compression. Journal of Mechanical Engineering Science, 23(5): 225-242.

[94] Murakami, T., Yoguchi, H., Hirayama, H., Nakamura, H., Mutsuura, S., 1993. Effects of geometrical imperfection on buckling strength of cylinders in bending. 12th SMiRT, Vol. E, p.257-268.

[95] Murakami, T., Yoguchi, H. Hirayama, H., Nakamura. H., Matsuura, S. 1995. Effects of imperfection on buckling strength of cylinders in shear and in bending under transverse shearing loads. PVP-Vol. 306, Fatigure and Crack Growth: Environmental Effects, Modelling Studies, and Design Considerations, ASME, p.259-266.

[96] Murray, D.W., 1997. Local buckling, strain localization, wrinkling and postbuckling response of line pipe. Engineering Structures, 19(5): 360-371.

[97] Nash, D.H., Banks,W.M., Bernaudon, F., 1998. Finite element modelling of sling-supported pressure vessels. Thin-Walled Structures, 30(1-4): 95-110.

[98] Nielsen, J., 1998. Pressures from flowing granular solids in silos. Phil. Trans. R. Soc. London. A, 356:2667-2684.

[99] Noor, A.K., 1990. Bibliography of monographs and surveys on shells. Applied Mechanics Review, 43(9): 223-234.

[100] Ong, L.S., 1995. Peak stress and fatigue assessment at the saddle support of a cylindrical vessel. J. Pressure Vessel Technology, 117: 305-311.

[101] Ong, L.S., Lu, G., 1995. Stress reduction factor associated with saddle support with extended top plate. Int. J. Pressure Vessels and Piping, 62: 205-208.

[102] Ooi, J.Y., Pham, L., Rotter, J.M., 1990. Systematic and random features of measured pressures on full-scale silo walls. Engineering Structures, 12: 74-87.

[103] Ooi, J.M., She, K. M., 1997. Finite element analysis of wall pressure in imperfect silos. Int. J. Solids Structures, 34(16): 2061-2072.

[104] Otsuka H., Koga, T., 1998. Buckling of circular cylindrical shell under beam-like bending (1st Report) experiment. Transactions of the Japan Society for Aeronautical and Space Sciences, 41(131): 38-45.

[105] Palmer, S.C., 1992. Structural effects of foundation tilt on storage tanks. Proc. Instn Mech. Engrs., Part E, 206: 83-92.

[106] Palmer, S.C.,1994. Stresses in storage tanks caused by differential settlement. Proc. Instn. Mech. Engrs., Part E, 208: 5-16.

[107] Pavlovic, P., 1997. The testing and repair of steel silo. Construction and Building Materials, 34:101-109.

[108] Pham, L., Maunsell, D.S., 1985. Survey of research needs for metal structures. Proceedings of Metal Structures Conference, I.E. Aust., Melbourne, p.172-177.

[109] Popov, E.P., Sharift, P., Nagarajan, S., 1974. Inelastic buckling analysis of pipes subjected to internal pressure, flexure and axial loading. In: Pressure Vessels and Piping: analysis and computers, I.S. Tuba, R.A. Solby, W.B. Wright, Wallace, B.(EDs), ASME.

[110] Ramm, E., Buchter, N., 1991. Buckling of cylindrical and conical shells under concentrated loading. In: Buckling of Shell Structures, on Land, in the Sea and in the Air, J. F. Jullien (Ed.), Elsevier Applied Science, London and New York, p.313-322.

[111] Ravenet, J., 1981. Silo problems. Bulk Solid Handling. 1(4): 667-679.

[112] Ravenet, J., 1983. The development of industrial silos throughout the world during the last 100 years. Bulk Solid Handling, 3(1): 127-140.

[113] Reddy, B.D., 1979. An experimental study of the plastic buckling of circular cylinders in pure bending. Int. J. Solids Structures, 15: 669-683.

[114] Reissner, E., 1961. On finite pure bending of cylindrical tubes. Osterr. Ing. Arch. 15: 165-172.

[115] Resinger, F., Greiner, R., 1982. Buckling of wind loaded cylindrical shells--Application to unstiffened and ring-stiffened tanks. Proc. State of the Art Colloquium, University of Struttgart, Germany, May 6-7.

[116] Roberts, A.W., Ooms, M., 1983. Wall loads in large steel and concrete bins and silos due to eccentric draw-down and other factors. Proc., 2nd Int. Conf. on Design of Silos for Strength and Flow, Strstford-Upon-Avon Hilton, 7-9, Nov., p.151-170.

[117] Ross, I.J., Moore, D.W., Lower, O.J. Whit, G.M., 1980. Model studies of grain bin failure. Paper No. 80-2-264. Winter Meeting, ASAE, Chicago, Dec.

[118] Rotter, J.M., 1985. Buckling under axial compression. In: J. M. Rotter, ed., Design of Steel Bins for the Storage of Bulk Solids. School of Civil and Mining Engineering, The University of Sydney, Sydney, Australia, p.122-137.

[119] Rotter, J.M., 1986. The analysis of steel bins subject to eccentric discharge. Proc., 2nd Int. Conf. on Bulk Material Storage, Handling, and Transportation, IEAust, p.264-271.

[120] Rotter, J.M., Jumikis, P.T., Fleming, S.P. Porter, S.H., 1989. Experiments on the buckling of thin-walled model silo structure. J. Construct. Steel Res., 13: 271-299.

[121] Rotter, J.M., 1996. Patch load effects in unstiffened steel silos, Proc., CA-Silo Project on the effect of Patch Loads on Metal Silos, CA-Silo, Edinburgh, p.5-195.

[122] Rotter, M., Ooi, J., Holst, M., Zhang, Z., 1997. Comparative Evaluation of Numerical Methods for Predicting Flow and Stress Fields in Silos. EPSRC DEMFEM International Collaboration, CA-SILO Collaborative Action: WG5.

[123] Rotter, J.M., Holst, J.M.F.G., Ooi, J.Y., Sanad, A.M., 1998. Silo pressure predictions using discrete-element and finite-element analyses. Phil. Trans. R. Soc. London. A, 356: 2685-2712.

[124] Rotter, J.M., 2001a. Guide for Economic Design of Circular Metal Silos. Spon, London and New York.

[125] Rotter, J.M., 2001b. Pressures, stresses and buckling in metal silos containing eccentrically discharging solids, 60th Birthday Celebration for Univ.-Prof. Dipl.-Ing. Dr.Techn. Richard Greiner, Institute for Steel, Timber and Shell Structures, Technical University Graz, Austria.

[126] Savin, G.N., 1970. Stress Distribution around Holes. NASA TT F-607.

[127] Samuelson, A.L., Eggwertz, S., 1992. Shell Stability Handbook. Elsevier Applied Science, London.

[128] Schmidt, H., Binder, B., Lange, H., 1998. Postbuckling strength design of open thin-walled cylindrical tanks under wind load. Thin-Walled Structures, 31: 203-220.

[129] Schneider, W., Thiele, R.,1995. Tragfähigkeit schlanker wind-belasteter Kreizylinderschalen. Der Stahlbau, 67(6): 434-441 (In German).

[130] Schneider, W., Thiele, R. 2001. Biegebeanspruchung schlanker zylinderschalen unter einzelner querlast und windlast - Zwei signifikant unterschiedliche instabilitatsfalle. Stahlbau, 70(10): 792-799 (In German).

[131] Sechler, E.E., 1974. The historical development of shell research and design. In: Thin-Shell Structures-Theory, Experiment, and Design, Y.C., Fung and E.E. Sechler (Eds.), Prentice-Hall, Inc., Englewood Cliffs, NJ, p.3-25.

[132] Seide, P., Weigarten, V.I., 1961. On the buckling of circular cylindrical shells under pure bending. J. Appl. Mech., ASME, Mar., 112-116.

[133] She, K.M., Rotter, J.M., 1993. Nonlinear and Stability Behavior of Discretely Supported Cylinders. Research Report 93-01, Dept. of Civil Engineering, University of Edinburgh, March.

[134] Simitses, G.J., 1986. Buckling and postbuckling of imperfect cylindrical shells: A review. Applied Mechanics Review, 39(10): 1517-1524.

[135] Singer, J., 1997. Experimental studies in shell buckling. AIAA-97-1075, p.1922-1932.

[136] Song, C.Y., 2002. Buckling of Cylindrical Shells under Non-uniform Stress States. Ph.D. Thesis, The Hong Kong Polytechnic University, Hong Kong.

[137] Starnes, J.H., 1974. The effects of cutouts on the buckling of thin shells. In: Thin-Shell Structures-Theory, Experiment, and Design, Y.C. Fung and E.E. Sechler (Eds.), Prentice-Hall, Inc., Englewood Cliffs, NJ, p.289-304.

[138] Starnes, J.H., Jr., Rose, C.A., 1997. Nonlinear response of thin cylindrical shells with longitudinal cracks and subjected to internal pressure and axial compression loads, AIAA-97-1144, p.2213-2223.

[139] Suer, H.S., Harris, L.A., Skene, W.T., Benjamin, R.J., 1958. The bending stability of thin-walled unstiffened circular cylinders including the effects of internal pressure. J. Aero. Sci., 25: 281-287.

[140] Teng, J.G., Rotter, J.M., 1990. A Study of Buckling in Column-supported Cylinders, In: Contact Loading and Local Effects in Thin-Walled Plated and Shell Structures, V. Krupka and M. Drdacky (Eds.), Academia Press, Prague, p.52-61.

[141] Teng, J.G., Rotter, J.M., 1991a. Linear Bifurcation of Perfect Cylinders on Column Supports. Res. Report. No. 91.01, Dept. Civ. Engng and Bldg Sci., Univ. of Edinbergh.

[142] Teng, J.G., Rotter, J.M., 1991b. Linear Bifurcation of Column-supported Imperfect Cylinders. Res. Report No. 91.03, Dept. Civ. Engng and Bldg Sci., Univ. of Edinbergh.

[143] Teng, J.G., Rotter, J.M., 1992. Linear bifurcation of column-supported perfect cylinders: support modeling and boundary conditions. Thin-Walled Structures, 14(3): 241-263.

[144] Teng, J.G., 1996. Buckling of thin shells: Recent advances and trends. Applied Mechanics Review, 17(1): 73-83.

[145] Teng, J.G., Rotter, J.M., 2002. Buckling of Thin Metal Structures. E & FN Spon, London (in Press).

[146] Teng, J.G., Song, C. Y., 2002. Imperfection-sensitivity analysis of shells subject to partial axial compression (Submitted).

[147] Tennyson, R.C., 1968. The effects of unreinforced circular cutouts on the buckling of circular cylindrical shells under axial compression. Journal of Engineering for Industry, Nov., 541-546.

[148] Tho, S.L., Spence, J., 1978. Stability Problems in Engineering Structures and Composites. Applied Science Publishers, London.

[149] Toda, S., 1980a. Some considerations on the buckling of the thin cylindrical shells with cutouts. Transaction of Japan Society Aerospace Sciences, 23(60): 104-112.

[150] Toda, S., 1980b. Experimental investigation on the effects of elliptic cutouts on the buckling of cylindrical shells loaded by axial compression. Transaction of Japan Society Aerospace Sciences, 23(59): 57-63.

[151] Tooth, A.S., Jones, N., 1982. Plastic collapse loads of cylindrical pressure vessels supported by rigid saddles. J. Strain Analysis, 17(3): 187-198.

[152] Uematsu, Y., Uchiyama, K., 1985. Deflection and buckling behavior of thin, circular cylindrical shells under wind loads. Journal of Wind Engineering and Industrial Aerodynamics, 18: 245-261.

[153] Van Dyke, P., 1965. Stresses about a circular hole in a cylindrical shell. AIAA J., 3: 1733-1742.

[154] Vodenitcharova, T., Ansourian, P., 1996. Buckling of circular cylindrical shells subjected to uniform lateral pressure. Engineering Structures, 18(8): 604-614.

[155] Weingarten, V.I., 1962. The buckling of cylindrical shells under longitudinally varying loads. J. Appl. Mech., ASME, March, 81-85.

[156] Wood, J.G.M., 1980. Thin-walled silo structures, failure, testing and design. In: Thin-Walled Structures: Recent Technical Advances and Trends in Design, Research, and Construction, J. Rhodes and A.C. Walker (Eds.), Wiley, New York, p.339-350.

[157] Wood, J.G.M., 1983. The analysis of silo structures subjected to eccentric discharge. Proc., 2nd Int. Conf. on Design of Silos for Strength and Flow, Strstford-Upon-Avon Hilton, 7-9, Nov, p.132-144.

[158] Wood, J.G.M., 1997. Silos: evaluation by failure. Structural Engineering International, 7(2): 116-117.

[159] Yeh, M.-K., Lin, M.-C., Wu, W.-T., 1999. Bending buckling of an elasticplastic cylindrical shell with a cutout. Engineering Structures, 21: 996-1005.

[160] Zhu, E., Mandal, P., Calladine, C.R., 1999. Buckling of Thin Cylindrical Shells: an Attempt to Resolve a Paradox. Personal communication.

Open peer comments: Debate/Discuss/Question/Opinion

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