Transactions of the Architectural Institute of Japan
Online ISSN : 2433-0027
Print ISSN : 0387-1185
ISSN-L : 0387-1185
FUNDAMENTAL STUDY ON TOROIDAL SHELL : Donnell theory in some problems and buckling loads
TETSUYUKI TANAMIYOSHIKATSU TSUBOI
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1984 Volume 335 Pages 22-31

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Abstract
The purpose of this paper is mainly to investigate the following two points of toroidal shell by numerical analyses. One is to investigate the validity of Donnell theory to the toroidal shell. For this purpose, the numerical results of some problems by means of Donnell theory are compared by other theories, that is, Sanders Koiter theory and Love theory. Another one is to investigate the influence upon the buckling loads of two types of pressure load, namely constant directinal pressure load and hydrostatic pressure load. The following results were obtained : (1) Geometric parameter a/b ratio is very important with respect to the behaviours of this shell, where "a" is a redius of cross section, and "b" is the distance between the center of cross section and the axis of revolution. (2) Buckling loads by Donnell theory are sometimes different from the values by other theories, so that when Donnell theory is adopted for the buckling analysis of this shell, we should pay attention to estimate the results. (3) Buckling loads of toroidal shell due to both constant directional pressure load and hydrostatic pressure load are always different.
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© 1984 Architectural Institute of Japan
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