The Quarterly Journal of Mechanics and Applied Mathematics 1965 18(2):173-190; doi:10.1093/qjmam/18.2.173
© 1965 by Oxford University Press
THE AXISYMMETRIC BENDING OF CONCRETE COOLING TOWERS AND OTHER OPEN SHELLS OF REVOLUTION
D. W. MARTIN and
E. VARLEY
(
National Physical Laboratory Teddington, Middlesex
)
The axisymmetric bending under gravity of a hyperboloid and a zone of a sphere are compared. Asymptotic series are developed for an arbitrary shell of revolution, and show that the edge perturbations of the membrane solutions are exponentially damped oscillations, regardless of the sign of the Gaussian curvature of the shell.

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