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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 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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