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COMPUTATIONAL STRATEGIES FOR LOWER BOUND BUCKLING LOADS OF WIND-LOADED SHELLS OF REVOLUTION

Jaca, R. C. ; Godoy, L. A. ;

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Advances in computational methods to model the nonlinear elastic behavior of shell structures have generated new computer capabilities to solve complex industrial problems. Shell buckling involves a number of specific features not present in other structural forms, such as imperfection-sensitivity, load-sensitivity, mode interaction, and exchange of energy contributions along a nonlinear equilibrium path. However, rather than using increasingly complex tools, it is also desirable to have methods in which the physics of the problem is taken into account to set theoretically loaded models, which can be solved using simpler computational tools. The authors have recently investigated one such strategy, known as Reduced Stiffness Method, in which selected energy components are eroded as a consequence of mode interaction and imperfection-sensitivity. This physical interpretation allows the formulation as an eigenvalue problem, in which the critical loads are lower bounds to experiments or to nonlinear incremental analysis. This paper considers the computational implementation of a reduced stiffness approach to the buckling of axisymmetric shell structures under wind loads. The structural configurations of interest in this work are cylindrical storage tanks with a roof (either flat or conical roof), in which case the thickness is decreased from the bottom to the top of the cylindrical part. A reduced stiffness approach has been implemented in a finite element code for shells of revolution, in which stabilizing membrane components are eliminated on the assumption that they will be eroded due to imperfection-sensitivity and mode interaction. Several strategies are considered depending on the zone of the shell in which elimination of membrane components is made. The code is employed to estimate buckling loads and modes in tanks with various roof configurations. It is shown that there are two aspects that influence the results: first, the existence of zones with different stiffness in the structure, and second, a load with a circumferential variation. The present results are compared with geometrically nonlinear analysis including shape imperfections and with experimental results. The results indicate that a reduction in meridional and torsional membrane components applied on a zone of the shell leads to good results in terms of limit point loads and modes.

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Palavras-chave: Buckling, Elastic Stability, Lower Bounds, Shells, Wind,

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DOI: 10.5151/meceng-wccm2012-19643

Referências bibliográficas
  • [1] Abaqus, User’s Manuals, V 6.3, Hibbitt, Karlsson and Sorensen, Rhode Island, 2002.
  • [2] ACI-ASCE Committee 334, “Reinforced concrete cooling tower shells-practice and commentary”. ACI 334, 2R. 91, American Concrete Institute. New York, 1991.
  • [3] API Standard 650, “Welded steel tanks for oil storage”. American Petroleum Institute, Washington, D.C., 1988.
  • [4] Croll J. G. A., “Towards a rationally based elastic-plastic shell buckling design methodology”. Thin Walled Structures. 23, 67-84, 1995.
  • [5] Croll J. G. A., “Towards simple estimates of shell buckling loads”. Der Stahlbau, Part I, Heft 8; Part II, Heft 9. September 197
  • [6] Croll J. G. A., Ellinas, C. P., “Reduced Stiffness Axial Load Buckling of Cylinders”. Int. J. Solids Structures. 19, 461-477, 1983.
  • [7] Donnell L. H., “A new theory for the buckling of thin cylinders under axial compression and bending”. J Appl. Mech. Trans. ASME. 56, 795-806, 1934.
  • [8] Flores F. G., Godoy L. A., “Instability of shells of revolution using ALREF: Studies for wind loaded shells”. Buckling of Shells in Land, in the Sea and in the Air. Elsevier Applied Science, Oxford, 213-222, 1991.
  • [9] Jaca R. C., Godoy L. A., Flores F. G., Croll J. G. A., “A reduced stiffness approach for the buckling of open cylindrical tanks under wind loads”. Thin Walled Structures. 45, 727- 736, 2007.
  • [10] Jaca R. C., Godoy L. A., Croll J. G. A., “Reduced Stiffness Buckling Analysis of Aboveground Storage Tanks with Thickness Changes”. Advances in Structural Engineering. 14, 475-487, 2011.
  • [11] Jaca R. C., Sosa E., Godoy L. A., “Estrategias de implementación de límites inferiores para pandeo de tanques bajo viento”. Mecánica Computacional. 25, 585-604, 2006.
  • [12] Jaca R. C., “Límites inferiores en inestabilidad del equilibrio de láminas de tanques de pared delgada”. Tesis Doctoral. Universidad Nacional de Córdoba, 2008.
  • [13] Macdonald P. A., Kwok K. C. S., Holmes J. D., “Wind loads on circular storage bins and tanks: I. Point pressure measurements on isolated structures”. Journal of Wind Engineering and Industrial Aerodynamics. 31, 165-188, 1988.
  • [14] Portela G., Godoy L. A., “Wind pressures and buckling of cylindrical steel tanks with conical roof”. Journal of Construction Steel Research. 61(6), 786-807, 2005.
  • [15] Resinger F., Greiner R., “Buckling of wind-loaded cylindrical shells: Application to unstiffened and ring-stiffened tanks”. Buckling of Shells. E.Ramm (Ed.), Springer-Verlag, Berlín, 305-331, 1982.
  • [16] Riks E., “An incremental approach to the solution of snapping and buckling problems”. International Journal of Solids and Structures. 15, 529-551, 1979.
  • [17] Rotter J. M., Teng J. G., “Elastic stability of lap-jointed cylinders”. Journal of Structural Engineering. ASCE, 115(3), 683-697, 1989.
  • [18] Rotter J. M., Chen L., Doerich C., “Buckling of cylindrical shells with stepwise variable wall thickness under uniform external pressure”. Engineering Structures. 33 (12), 3570- 3578, 2011.
  • [19] Rotter J. M., Schmidt H., “Buckling of Steel Shells: European Design Recommendations. 5th Edition”. European Convention for Constructional Steelwork. Mem Martins, Portugal, 2008.
  • [20] Sosa E. M., Godoy L. A., “Challenges in the computation of lower-bound buckling loads for tanks under wind pressures”. Thin Walled Structures. 48, 935-945, 2010.
  • [21] Sosa E. M., Godoy L. A., Croll J. G. A., “Computation of lower-bound buckling loads using general-purpose finite element codes”. Computers and Structures. 84 (29-30), 1934- 1945, 2006.
  • [22] Yamada S., Croll J. G. A., “Buckling and Post-buckling Characteristics of Pressureloaded Cylinders”. Journal of Applied Mechanics. 60, 290-299, 1993.
  • [23] Zienkiewicz O. C., Taylor R. L., “The Finite Element Method for Solid and Structural Mechanics. Sixth Edition”. Elsevier, Oxford, U.K., 2005.
  • [24] Zintillis G., Croll J. G. A., “Pressure buckling of end supported shells of revolution. Engineering Structures”. 4, 222-232, 1982.
Como citar:

Jaca, R. C.; Godoy, L. A.; "COMPUTATIONAL STRATEGIES FOR LOWER BOUND BUCKLING LOADS OF WIND-LOADED SHELLS OF REVOLUTION", p. 3927-3946 . In: In Proceedings of the 10th World Congress on Computational Mechanics [= Blucher Mechanical Engineering Proceedings, v. 1, n. 1]. São Paulo: Blucher, 2014.
ISSN 2358-0828, DOI 10.5151/meceng-wccm2012-19643

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