Imperfection sensitivity of externally pressurised shells

Static and pulse loading

Authors

  • Jan Blachut The University of Liverpool Department of Engineering Liverpool L69 3GH, UK

Keywords:

Buckling, External pressure, Shape imperfections

Abstract

The paper examines the sensitivity of buckling loads to the initial geometric imperfections in metallic cylindrical, toroidal, barrelled and torispherical shells subjected to uniform external pressure. The adopted approach is based on the FE analysis of a number of selected cases. The imperfection profiles include either localised (stripe, cos x cos, increasedradius flattening, etc.) or global (modulated eigenmode) distortion of shell’s mid-surface. The lower bound methodology has been adopted for all localised shape deviations. Differences between buckling sensitivities to localised and global imperfections are given for the following cases: (i) for cylinders subjected to radial pressure, (ii) for toroids and torispheres subjected to static external pressure. It is shown here that the largest reduction of the buckling strength is not associated with one particular form of shape deviations. In bowed out shells the eigen-imperfections seem to be affecting the load carrying capacity to a lesser extent than in equivalent cylinders. Dynamic failure loads of imperfect torispheres are smaller than their static ones but only for up to threshold magnitudes.References to previous buckling experiments on perfect and imperfect shell components are also provided.

Downloads

Download data is not yet available.

References

Albertin U., Bemessungskonzepte fuer Stabilitätsfälle imperfektions-sensitiver

Schallenstrukturen, PhD Dissertation, TU Munich, 7/2000.

Blachut J., “Pressure vessel components: some recent developments in strength and

buckling”, Progress in Structural Engineering and Materials, Vol. 1, 1998, pp. 415-421.

Blachut J., Jaiswal O.R., “Instabilities in torispheres and toroids under suddenly applied

external pressure”, J Impact Engineering, Vol. 22, 1999, pp. 511-530.

Blachut J., Jaiswal O.R., “On the choice of initial geometric imperfections in externally

pressurised shells”, J Pressure Vessel Technology, Trans of the ASME, Vol. 121, 1999,

pp. 71-76.

Blachut J., Jaiswal O.R., “On buckling of toroidal shells under external pressure”, Computers

and Structures, Vol. 77, 2000, pp. 233-251.

Blachut J., Wang P., “Buckling of barreled shells subjected to external hydrostatic pressure”,

J Pressure Vessel Technology, Trans of the ASME, Vol. 123, 2001, pp. 232-239.

Blachut J., “Old and new non-gradient methods in engineering optimization”, in Engineering

Methods for Multidisciplinary Optimization, (eds) J. Blachut, H.A. Eschenauer, CISM

Vol. 425, Springer, Wien NY, 2001, pp. 53-105.

Blachut J., “Buckling of externally pressurised barrelled shells: comparison of experiment and

theory”, J. Press Vessel Piping, Vol. 79, 2002, pp. 507-517.

Blachut J., “Optimal barreling of steel shells via simulated annealing”, Computers and

Structures, Vol. 81, 2003, pp. 1941-1956.

Blachut J., “Collapse tests on externally pressurised toroids”, J. Press. Vessel Technology,

Trans of the ASME, Vol. 125, 2003, pp. 91-96.

Brede A., Schneider W., “Imperfection sensitivity of cylindrical shells with longitudinal

imperfections subjected to uniform external pressure”, in Design, Inspection,

Maintenance and Operation of Cylindrical Steel Tanks And Pipelines, (ed.) V. Krupka,

Brno, 2003, pp. 5-11.

Bushnell D., “BOSOR5 program for buckling of elastic-plastic complex shells of revolution

including large deflections and creep”, Computers and Structures, Vol. 6, 1976, pp. 221-

Cederbaum G., Arbocz J., “Reliability of shells via Koiter formula”, Thin-Walled Structures,

Vol. 24, 1996, pp. 173-187.

Galletly G.D., Blachut J., “Stability of complete circular and non-circular toroidal shells”,

Proc. IMechE, Part C, Vol. 209, 1995, pp. 245-255.

Godoy L.A., Thin-walled structures with structural imperfections, Elsevier Sci, 1996.

Godoy L.A., Taraco E.O., “Design sensitivity of post-buckling states including material

constraints”, Comp. Meth. Appl. Mech. Eng., Vol. 188, 2000, pp. 665-679.

Guggenberger W., “Buckling and postbuckling of imperfect cylindrical shells under external

pressure”, Thin-Walled Structures, Vol. 23, 1995, pp. 351-366.

Hallquist J.O., Oasys LS-DYNA940 User’s Manual, ver. 7, Livermore Software Co., CA

-1740, USA, 1997.

Hibbitt, Karlsson and Sorensen Inc., ABAQUS User’s Manual, ver. 5.8, Pawtucket, RI

-4847, 1998.

Knight N.F., Jr., Starness J.H., Jr., “Developments in cylindrical shell stability analysis”, in Proc.

of the 38th AIAA/ASME/ASCE/AHS/ASC Structures, Structural Dynamics and Materials

Conference, Part 3, AIAA-97-1076, 1997, pp. 1933-1948.

Lu Z., Obrecht H., Wunderlich W., “Imperfection sensitivity of elastic and elastic-plastic

torispherical pressure vessel heads”, Thin-Walled Structures, Vol. 23, 1995, pp. 21-39.

Nash W.A., Hydrostatically loaded structures, Pergamon, Kidlington, 1995.

Ross C.T.F., Pressure vessels: external pressure technology, Horwood Publishing Ltd,

Chichester, 2001.

Samuelson L.A., Eggwertz S., Shell stability handbook, Elsevier Appl. Sci., London NY,

Schneider M. H., Jr., “Investigation of the stability of imperfect cylinders using structural

models”, Engineering Structures, Vol. 18, 1996, pp. 792-800.

Teng J.G, Song C.Y, “Numerical models for nonlinear analysis of elastic shells with

eigenmode-affine imperfections”, Int. J. Solids Struct., Vol. 38, 2001, pp. 3263-3280.

Wunderlich W., Albertin U., “Buckling of imperfect spherical shells”, Int. J. of Non-Linear

Mech., Vol. 37, 2002, pp. 589-604.

Downloads

Published

2004-09-25

How to Cite

Blachut, J. . (2004). Imperfection sensitivity of externally pressurised shells: Static and pulse loading. European Journal of Computational Mechanics, 13(8), 787–810. Retrieved from https://journals.riverpublishers.com/index.php/EJCM/article/view/2269

Issue

Section

Original Article