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Civil-Comp Proceedings
ISSN 1759-3433
CCP: 56
ADVANCES IN CIVIL AND STRUCTURAL ENGINEERING COMPUTING FOR PRACTICE
Edited by: B.H.V. Topping
Paper IX.2

Buckling under External Pressure of Closed Toroids with Circular and Elliptical Cross Sections

J. Blachut and O.R. Jaiswal

Department of Engineering, The University of Liverpool, United Kingdom

Full Bibliographic Reference for this paper
J. Blachut, O.R. Jaiswal, "Buckling under External Pressure of Closed Toroids with Circular and Elliptical Cross Sections", in B.H.V. Topping, (Editor), "Advances in Civil and Structural Engineering Computing for Practice", Civil-Comp Press, Edinburgh, UK, pp 323-334, 1998. doi:10.4203/ccp.56.9.2
Abstract
The paper illustrates the effect of boundary conditions on the buckling loads of closed toroidal shells. The buckling strength of closed toroids is dependent on the shape of the cross-section. This is exemplified by the inclusion of elliptical cross-sections, in addition to circular ones. Calculations show that peak bifurcation buckling pressure of a toroid with an elliptical cross-section can be several times larger than the bifurcation load of a corresponding toroid with the circular cross-section. Results are provided for both elastic and elastic-plastic cases. There seems to be no great sensitivity of buckling pressures to the initial eigenmode imperfections within the elastic range for the circular cross-sections. But the level of stresses in these imperfect toroids is such that the elastic-plastic analysis becomes necessary. It reveals that the buckling loads are sensitive to imperfections which are affine to the eigenmode. Eigenmode shape imperfections in elliptical cross-sections, on the other hand, severely reduce the elastic buckling pressures.

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