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Title

ANALYSIS OF CYLINDRICALLY CURVED STEEL PANELS - An imperfection sensitivity study

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Abstract

Shell-like structures are very well known to be very prone to stability problems and, also very sensitive to initial imperfections which lower non-negligibly their ultimate strength. On one hand, cylindrically curved panels may be seen as a subgroup of shell structures and therefore share the disadvantages of such structural solution. On the other hand, cylindrically curved panels may be seen as curved plates. The reality lies somewhere between these two limits.
Since curved panels are neither flat nor full revolution shells, rules and guidelines for estimating equivalent geometric imperfections are inexistent. This problem becomes more serious when preliminary results have shown a high sensitivity to initial geometric imperfections.
In the framework of Eurocodes, rules defining how to proceed to model geometric imperfections when using numerical tools (e.g. when using the finite element method) are given by EN1993-1-5 and EN1993-1-6. However, cylindrically curved panels fall outside the scope of these standards. This paper focus on fully nonlinear numerical analysis of cylindrically curved panels with different patterns for the geometric imperfections, all based on several eigenmode shapes.

References

[1] von Karman, T., Sechler, E. E., and Donnell, L. H. (1932), “Strength of thin Plates in Compression”, Trans. ASME, Vol. 54, No. APM-54-5, pp. 53-58.
[2] Karman T. H., Tsien H. S. (1941), “The buckling of thin cylindrical shells under axial compression”, Journal of the Aeronautical Sciences, Vol.8, No. 8, pp. 303-312.
[3] Koiter, W. T. (1945), “Over de Stabiliteite van het Elastische Evenwicht”, Ph.D. Thesis, Delft University (English trans.in 1967:” On the stability of elastic equilibrium”, NASA Technical Translation No. TT F 10833, Washington D. C.).
[4] Budiansky, B., Hutchinson, J. W. (1964), “Dynamic Buckling of Imperfection Sensitive Structures”, Proceedings 11th IUTAM Congress, Springer Verlag, Berlin, pp. 636-651.
[5] ECCS (2008), “Buckling of shells, European Design recommendations”, Publication No. 128, 5th ed., European Convention for Constructional Steelwork, Rotter J. M., Schmidt, H. (Eds.), Brussels.
[6] CEN (2006), EN1993-1-5:2006 - Eurocode 3: Design of steel structures, Part 1-5: Plated Structural Elements, European Committee for Standardization, Brussels.
[7] CEN (2007), EN1993-1-6:2007 - Eurocode 3: Design of steel structures, Part 1-6: Strength and Stability Shells Structures, European Committee for Standardization, Brussels.
[8] Martins, J. P., Simões da Silva, L. and Reis, A. (2013), “Eigenvalue analysis of cylindrically curved panels under compressive stresses – Extension of rules from EN1993-1-5”, Thin-Walled Structures, vol. 68, pp. 183-194.
[9] Martins, J. P., Simões da Silva, L. and Reis, A. (2013), “Ultimate load of cylindrically curved panels under in plane compression and bending – Extension of rules from EN1993-1-5”, Thin-Walled Structures, vol. 77, pp. 36-47.

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