Buckling of Pressurized Axisymmetrically Imperfect Cylinders under Axial Loads
Publication: Journal of Engineering Mechanics
Volume 118, Issue 2
Abstract
It has long been recognized that the strength of a thin, axially compressed, unstiffened cylinder is governed by bifurcation into a nonsymmetric displacement mode, that the strength is acutely sensitive to very small geometric imperfections of the surface, and that internal pressure increases the strength markedly. In many practical applications, axially compressed cylinders are simultaneously subject to internal pressure, so the problem is a common one. Despite many theoretical and experimental studies, the strength gains due to internal pressure cannot yet be defined with confidence, and a match between laboratory testing, field imperfection measurement, theoretical bifurcation prediction, and allowable design strength has not yet been achieved. The conservatism of current designs is thus still in doubt. This paper addresses the problem of elastic unstiffened thin cylinders with axisymmetric imperfections, as some field measurements indicate that these imperfections are common in civil engineering structures, and since they are known to be very detrimental to buckling strengths. The paper investigates the effects of sinusoidal, local inward, and local outward imperfections. It tries to explain why Hutchinson's classic theory of 1965 for pressurized imperfect elastic cylinders predicts much lower strengths than those predicted for cylinders with more practical imperfection forms.
Get full access to this article
View all available purchase options and get full access to this article.
References
1.
Amazigo, J. C., and Budiansky, B. (1972). “Asymptotic formulas for the buckling stresses of axially compressed cylinders with localised or random axisymmetric imperfections.” J. Appl. Mech., E‐39, 179–184.
2.
Arbocz, J. (1974). “The effect of initial imperfections on shell stability.” Thin shell Structures, Y. C. Fung and E. E. Sechler, eds., Prentice‐Hall, Englewood Cliffs, N.J., 205–246.
3.
Arbocz, J. (1981). “Shell stability analysis: Theory and practice.” Collapse, J. M. T. Thompson and G. W. Hunt, eds., Cambridge University Press, Cambridge, England, 43–74.
4.
Bornscheuer, F. W., and Hafner, L. (1983). “The influence of an imperfect circumferential weld on the buckling strength of axially loaded circular cylindrical shells.” Preliminary Report, 3rd Int. Colloquium on Stability of Metal Structures, Paris, France, 407–414.
5.
Bornscheuer, F. W., Hafner, L., and Ramm, E. (1984). “Zur Stabilitat eines Kreiszylinders mit einer Rundschweissnaht unter Axialbelastung.” Der Stahlbau, 52(10), 313–318 (in German).
6.
Bucklin, R. A., Ross, I. J., and White, G. M. (1983). “The influence of grain pressure on the buckling loads of thin‐walled bins.” Paper No. 83‐4005, ASAE, Minneapolis, Minn.
7.
Calladine, C. R. (1983). Theory of shell structures. Cambridge University Press, Cambridge, England.
8.
Clarke, M. J. (1987). “Measurement and analysis of imperfections in full scale silos,” thesis presented to the University of Sydney, at Sydney, Australia, in partial fulfillment of the requirements for the degree of Bachelor of Engineering.
9.
Clarke, M. J., and Rotter, J. M. (1988). “A technique for the measurement of imperfections in prototype silos and tanks.” Research Report R565, School of Civil and Min. Engrg., University of Sydney, Sydney, Australia.
10.
Esslinger, M., and Geier, B. (1975). Postbuckling behaviour of structures. CISM, Springer Verlag, New York, N.Y.
11.
European recommendations for steel construction: Buckling of shells. (1984). 3rd Ed., European Convention for Constructional Steelwork, Brussels, Belgium.
12.
European recommendations for steel construction: Buckling of shells. (1988). 4th Ed., European Convention for Constructional Steelwork, Brussels, Belgium.
13.
Hutchinson, J. W. (1965). “Axial buckling of pressurised imperfect cylindrical shells.” AIAA J., 3(8), 1461–1466.
14.
Hutchinson, J. W., Tennyson, R. C., and Muggeridge, D. B. (1971). “Effect of a local axisymmetric imperfection on the buckling behavior of a circular cylindrical shell under axial compression.” AIAA J., 9(1), 48–53.
15.
Koiter, W. T. (1945). “On the stability of elastic equilibrium,” thesis presented to Delft University, at Delft, Netherlands, in partial fulfillment of the requirements for the degree of Doctor of Philosophy (in Dutch);
[see also Translation AFFDLTR‐70‐25, Wright Patterson Air Force Base, (1970)].
16.
Koiter, W. T. (1963). “The effect of axisymmetric imperfections on the buckling of cylindrical shells under axial compression.” Proc. Ser. B66, Koninklike Nederlandische Akademie van Wetenshappen, 265–279.
17.
Pederson, P. T. (1974). “On the collapse load of cylindrical shells.” Buckling of structures. B. Budiansky, ed., Springer, New York, N.Y., 27–39.
18.
Rotter, J. M. (1985). “Buckling of ground‐supported cylindrical steel bins under compressive wall loads.” Proc., Metal Structures Conf., Inst. of Engrs., Australia, Melbourne, Australia, 112–127.
19.
Rotter, J. M. (1988). “Final stability assessment for 10,000 tonne silos at Port Kembla.” Invest. Rpt S684, School of Civil and Min. Engrg., University of Sydney, Sydney, Australia.
20.
Rotter, J. M. (1989). “The FELASH suite of programs for the analysis of axisymmetric shells.” Proc., Fourth Int. Conf. on Civil and Struct. Engrg. Computing, London, England, 1, 323–328.
21.
Rotter, J. M. (1990). “Local inelastic collapse of pressurized thin cylindrical steel shells under axial compression.” J. Struct. Engrg., ASCE, 116(7), 1955–1970.
22.
Rotter, J. M., and Seide, P. (1987). “On the design of unstiffened cylindrical shells subject to axial load and internal pressure.” Proc., Int. Colloquium on Stability of Plate and Shell Structures, Ghent, Belgium, 539–548.
23.
Rotter, J. M., and Teng, J. G. (1989). “Elastic stability of cylindrical shells with weld depressions.” J. Struct. Engrg., ASCE, 115(5), 1244–1263.
24.
Rotter, J. M., Trahair, N. S., and Ansourian, P. (1980). “Stability of plate structures.” Proc., AISC/AWRA Symp. on Steel Bins for Bulk Solids, Australian Inst. of Steel Construction, Sydney, Australia, 36–42.
25.
Saal, H., Kahmer, H., and Reif, A. (1979). “Beullasten axial gedruckter Kreiszylinderschalen mit Innendruck—Neue Versuche und Vorshriften.” Der Stahlbau, 48(9), 262–269 (in German).
26.
Teng, J. G., and Rotter, J. M. (1989). “Non‐symmetric bifurcation of geometrically non‐linear elastic‐plastic axisymmetric shells subject to combined loads including torsion.” Comput. Struct., 32(2), 453–477.
27.
Tvergaard, V. (1976). “Buckling behavior of plate and shell structures.” Proc., 14th nt. Cong, on Theoretical Applied. Mechanics, Delft, Netherlands, 232–247.
28.
Tennyson, R. C., and Muggeridge, D. B. (1969). “Buckling of axisymmetric imperfect circular cylindrical shells under axial compression.” AIAA J., 7(11), 2127–2131.
29.
Weingarten, V. I., Morgan, E. J., and Seide, P. (1965a). “Elastic stability of thinwalled cylindrical and conical shells under axial compression.” AIAA J., 3(3), 500–505.
30.
Weingarten, V. I., Morgan, E. J., and Seide, P. (1965b). “Elastic stability of thinwalled cylindrical and conical shells under combined internal pressure and axial compression.” AIAA J., 3(6), 1118–1125.
31.
Yamaki, N. (1984). Elastic stability of circular cylindrical shells. North‐Holland, Amsterdam, Netherlands.
Information & Authors
Information
Published In
Copyright
Copyright © 1992 ASCE.
History
Published online: Feb 1, 1992
Published in print: Feb 1992
Authors
Metrics & Citations
Metrics
Citations
Download citation
If you have the appropriate software installed, you can download article citation data to the citation manager of your choice. Simply select your manager software from the list below and click Download.