Lower Bounds for Overall Buckling of Spherical Space Domes
Publication: Journal of Engineering Mechanics
Volume 120, Issue 5
Abstract
Elastic buckling of pressure‐loaded spherical space domes is reinterpreted using a recently postulated reduced‐stiffness model. By means of extensive nonlinear numerical studies into the effects of geometric imperfections, over a range of practical geometric parameters, this simplified analysis is shown to provide close approximations of the lower bound loads and their associated modes. As has been demonstrated for related shell‐buckling problems, the reduced stiffness method allows the load‐reduction effects of the complex, postbuckling nonlinearities to be conservatively reproduced. The analysis is sufficiently simple that it can be routinely adopted at the design stage.
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References
1.
Bergan, P. G. (1980). “Solution algorithms for nonlinear structural problems.” Comp. and Struct., 12, 497–509.
2.
Crisfield, M. A. (1981). “A fast incremental/iterative solution procedure that handles ‘snap‐through.’” Comp. and Struct., 13, 55–62.
3.
Croll, J. G. A. (1988). “Incorporating the mechanics of shell post‐buckling in design.” Proc. 11th Australasian Conf. Mech. Struct. Materials, Auckland, New Zealand, Aug.
4.
Croll, J. G. A., and Chilver, A. H. (1971). “Approximate estimation of the stability of cooling towers under wind loading.” IASS Colloquium, Brussel.
5.
Croll, J. G. A., and Ellinas, C. P. (1983). “Reduced stiffness axial load buckling of cylinders.” Int. J. Solids Structures, 19(5), 461–477.
6.
Elishakoff, I. (1988). “Stochastic simulation of an initial imperfection data bank for isotropic shells with general imperfections.” Buckling of structures, studies in applied mechanics, Elsevier, Amsterdam, The Netherlands, 195–209.
7.
Ellinas, C. P., and Croll, J. G. A. (1986). “Elastic‐plastic buckling design of cylindrical shells subjected to combined axial compressive and pressure loading.” Int. J. Solids and Struct., 22(9), 1007–1017.
8.
Goncalves, P. B., and Croll, J. G. A. (1992). “Axisymmetric of pressure loaded spherical caps.” J. Struct. Engrg., ASCE, 118(4), 970–985.
9.
Ikeda, K., and Murota, K. (1990). “Computation of critical initial imperfection of truss structures.” J. Engrg. Mech., ASCE, 116(10), 2101–2117.
10.
Kashani, M. (1992). “Discussion of ‘Effect of imperfections on lattice shells,’ by Nicholas F. Morris.” J. Struct. Engrg., ASCE, 118(6), 1719–1723.
11.
Kashani, M. (1993). “Local and overall buckling of spacedomes,” PhD thesis, Univ. College London, London, England.
12.
Kashani, M., and Croll, J. G. A. (1989). “Non‐linear buckling response of spherical spacedomes.” Proc. IASS Symp., Madrid, Spain.
13.
Kashani, M., and Croll, J. G. A. (1993). “Analysis of non‐linear buckling of spacedomes.” J. Comp. and Struct. (submitted for publication).
14.
Morris, N. F. (1991). “Effect of imperfections on lattice shells.” J. Struct. Engrg., ASCE, 117(6), 1796–1814.
15.
Nishino, F., and Hartonow, W. (1989). “Influential mode of imperfection on carrying capacity of structures.” J. Engrg. Mech., ASCE, 115(10), 2150–2165.
16.
Yamada, S. (1991). “Relationship between non‐linear numerical experiments and a linear lower bound analysis using F.E. method on the overall buckling of reticular partial cylindrical frames.” 4th Int. Conf. on Comp. Civ. and Build. Engrg., Tokyo, Japan.
17.
Yamada, S., and Croll, J. G. A. (1989). “Buckling behaviour of pressure loaded cylindrical panels.” J. Engrg. Mech., ASCE, 115(2), 327–344.
18.
Yamada, M., Uchiyama, K., Yamada, S., and Ishikawa, T. (1986). “Theoretical and experimental study on the buckling of rigidly jointed single layer latticed spherical shells under external pressure.” Shells, Membrane and Space Frames, Proc. IASS Symp., 3, Osaka, Japan.
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Information
Published In
Journal of Engineering Mechanics
Volume 120 • Issue 5 • May 1994
Pages: 949 - 970
Copyright
Copyright © 1994 American Society of Civil Engineers.
History
Received: Dec 17, 1992
Published online: May 1, 1994
Published in print: May 1994
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