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

  • Mechanics & Civil Engineering
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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.

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References

  • 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.

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

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

    Article  Google Scholar 

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

  • Australian Standard (AS3774-1996, 1996). Loads on Bulk Solids Containers.

  • Babcock, C. D., 1983. Shell stability.J. Appl. Mech., ASME,50: 935–940.

    Article  Google Scholar 

  • 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.

    Google Scholar 

  • 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, May3–June 4, Vol. 2, p. 74–81.

    Google Scholar 

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

    Google Scholar 

  • 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.

    Article  Google Scholar 

  • 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.

    Google Scholar 

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

    Google Scholar 

  • Borez, A., Rahim, A., 1991. Wall pressure measurements in eccentrically discharged cement silos.Bulk Solids Handling,11(2): 469–476.

    Google Scholar 

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

    MATH  Google Scholar 

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

    Article  Google Scholar 

  • British Standard BS5500, 1997. Specification for Unfired Fusion Pressure Vessels, British Standard Institution, London.

    Google Scholar 

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

    Google Scholar 

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

    Book  Google Scholar 

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

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

    Article  Google Scholar 

  • Budiansky, B., Hutchinson, J. W., 1966. A survey of some buckling problems.AIAA J.,4(9): 1505–1510.

    Article  Google Scholar 

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

    Article  Google Scholar 

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

  • 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.

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

    Article  Google Scholar 

  • 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.

    Article  Google Scholar 

  • 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.

    Article  Google Scholar 

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

    Article  Google Scholar 

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

    Google Scholar 

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

    Google Scholar 

  • 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.

    Article  Google Scholar 

  • Dhanens, F., Lagae, G., Rathe, J. Van Impe, R., 1993. Stress in and buckling of unstiffened cylinders subjected to local axial loads.J. Construct. Steel Res.,27: 89–106.

    Article  Google Scholar 

  • DIN 18800-4, 1990. Structural Steelwork: Analysis of Safety against Buckling of Shells.

  • DIN 1055, Part 6, 1987. Design Loads for Buildings: Loads in Silo Bins.

  • 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.

    Article  Google Scholar 

  • 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.

    MathSciNet  MATH  Google Scholar 

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

    Article  Google Scholar 

  • 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.

  • 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.

    Google Scholar 

  • Emmerling, F. A., 1984. Flexible Shells. Springer, Berlin.

    Google Scholar 

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

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

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

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

    Article  MATH  Google Scholar 

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

    Article  Google Scholar 

  • Flugge, W., 1960. Stresses in Shells, Springer-Verlag, Berlin.

    Book  MATH  Google Scholar 

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

    Google Scholar 

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

  • Gellin, S., 1980. The plastic buckling of long cylindrical shells under pure bending.Int. J. Solids Structures,16: 397–407.

    Article  MathSciNet  MATH  Google Scholar 

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

    Article  Google Scholar 

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

  • 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.

    Article  Google Scholar 

  • 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.

    Google Scholar 

  • 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.

    Google Scholar 

  • 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.

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

    Article  Google Scholar 

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

    Article  Google Scholar 

  • 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).

    Google Scholar 

  • 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.

    Google Scholar 

  • 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.

    Article  MATH  Google Scholar 

  • 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.

    MathSciNet  MATH  Google Scholar 

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

    MathSciNet  Google Scholar 

  • 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.

    Article  Google Scholar 

  • 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.

    Article  Google Scholar 

  • 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.

    Article  Google Scholar 

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

    Google Scholar 

  • 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.

    Article  Google Scholar 

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

  • Jenike, A. W., 1967. Denting of circular bins with eccentric drawpoints.J. Structural Division, ASCE, ST1, 27–35.

    Article  Google Scholar 

  • Jenkyn, R. T., Goodwill, D. J., 1987. Silo failures: lessens to be learned.Engineering Digest, Sept, 17–22.

    Google Scholar 

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

    Article  Google Scholar 

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

    Article  Google Scholar 

  • 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.

  • Ju, G. T., Kyriakides, S., 1992. Bifurcation and localization instabilities in cylindrical shells under bending—II: Predictions.Int. J. Solids Structures,29: 1143–1171.

    Article  Google Scholar 

  • 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.

    Article  Google Scholar 

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

    Google Scholar 

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

    Article  Google Scholar 

  • 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.

    Article  Google Scholar 

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

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

    Article  Google Scholar 

  • 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.

    Google Scholar 

  • Krupka, V., 1994. Saddle and lug supported tanks and vessels.Proc. Instn. Mech. Engrs,208: 17–21.

    Article  Google Scholar 

  • 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.

    Google Scholar 

  • Kyriakides, S., Ju, G. T., 1992. Bifurcation and localization instabilities in cylindrical shells under bending—I: Experiments.Int. J. Solids Structures,29: 1117–1142.

    Article  Google Scholar 

  • 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.

    Article  MATH  Google Scholar 

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

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

    Article  Google Scholar 

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

    Article  MATH  Google Scholar 

  • 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.

    Article  Google Scholar 

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

    Google Scholar 

  • 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.

  • 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.

  • 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.

    Article  Google Scholar 

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

    Google Scholar 

  • 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.

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

    Article  Google Scholar 

  • 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.

    Article  Google Scholar 

  • Nielsen, J., 1998. Pressures from flowing, granular solids in silos.Phil. Trans. R. Soc. London. A,356: 2667–2684.

    Article  Google Scholar 

  • Noor, A. K., 1990. Bibliography of monographs and surveys on shells.Applied Mechanics Review,43(9): 223–234.

    Article  MathSciNet  Google Scholar 

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

    Article  Google Scholar 

  • 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.

    Article  Google Scholar 

  • 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.

    Article  Google Scholar 

  • 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.

    Google Scholar 

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

    Article  Google Scholar 

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

    Article  Google Scholar 

  • Pavlovic, P., 1997. The testing and repair of steel silo.Construction and Building Materials,34: 101–109.

    Google Scholar 

  • 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.

  • 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.

  • 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.

    Google Scholar 

  • Ravenet, J., 1981. Silo problems.Bulk Solid Handling. 1 (4): 667–679.

    Google Scholar 

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

    Google Scholar 

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

    Article  Google Scholar 

  • Reissner, E., 1961. On finite pure bending of cylindrical tubes.Osterr. Ing. Arch.,15: 165–172.

    MathSciNet  MATH  Google Scholar 

  • Resinger, F., Greiner, R., 1982. Buckling of wind loaded cylindrical shells—Application to unstiffened and ringstiffened tanks. Proc. State of the Art Colloquiu, University of Struttgart, Germany, May 6–7.

  • 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.

  • 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.

  • 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.

    Google Scholar 

  • 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.

  • 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.

    Article  Google Scholar 

  • 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.

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

  • 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.

    Article  Google Scholar 

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

    Book  Google Scholar 

  • 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.

    Google Scholar 

  • Savin, G. N., 1970. Stress Distribution around Holes. NASA TT F-607.

  • Samuelson, A. L., Eggwertz, S., 1992. Shell Stability Handbook. Elsevier Applied Science, London.

    Google Scholar 

  • 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.

    Article  Google Scholar 

  • Schneider, W., Thiele, R., 1995. Tragfähigkeit schlanker wind-belasteter Kreizylinderschalen.Der Stahlbau,67 (6): 434–441 (in German).

    Article  Google Scholar 

  • Schneider, W., Thiele, R., 2001. Biegebeanspruchung schlanker zylinderschalen unter einzelner querlast und windlast—Zwei signifikant unterschiedliche instabilitatsfalle.Stahlbau,70(10): 792–799 (in German).

    Article  Google Scholar 

  • 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.

    Google Scholar 

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

    Article  MathSciNet  Google Scholar 

  • 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.

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

    Article  Google Scholar 

  • Singer, J., 1997. Experimental studies in shell buckling.AIAA-97-1075, p. 1922–1932.

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

    Google Scholar 

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

    Google Scholar 

  • 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.

  • 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.

    Google Scholar 

  • 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.

    Google Scholar 

  • 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.

  • 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.

  • 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.

    Article  Google Scholar 

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

    Google Scholar 

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

    Google Scholar 

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

  • 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.

    Article  Google Scholar 

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

    Google Scholar 

  • 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.

    Google Scholar 

  • 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.

    Google Scholar 

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

    Article  Google Scholar 

  • 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.

    Article  Google Scholar 

  • Van Dyke, P., 1965. Stresses about a circular hole in a cylindrical shell.AIAA J.,3: 1733–1742.

    Article  Google Scholar 

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

    Article  Google Scholar 

  • Weingarten, V. I., 1962. The buckling of cylindrical shells under longitudinally varying loads.J. Appl. Mech., ASME, March, 81–85.

    Article  MathSciNet  MATH  Google Scholar 

  • 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.

    Google Scholar 

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

  • Wood, J.G.M., 1997. Silos: evaluation by failure.Structural Engineering International,7(2): 116–117.

    Article  Google Scholar 

  • 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.

    Article  Google Scholar 

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

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  1. Department of Civil Engineering, Zhejiang University, 310027, Hangzhou, China

    Song Chang-yong

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Correspondence to Song Chang-yong.

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Project (No. Poly U 5081/97E) supported by the Research Grants Council of the Hong Kong Special Administrative Region (SAR)

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Chang-yong, S. Buckling of un-stiffened cylindrical shell under non-uniform axial compressive stress. J. Zhejiang Univ. Sci. A 3, 520–531 (2002). https://doi.org/10.1631/jzus.2002.0520

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