Buckling of Circular Conical Shells under Axisymmetrical External Pressure

Author:

Singer Josef1

Affiliation:

1. Department of Aeronautical Engineering, Technion-Israel Institute of Technology, Haifa. Associate Member of the Institution.

Abstract

The stability equations for thin conical shells derived by Seide are solved for loading under hydrostatic pressure and lateral pressure varying in the axial direction. The solution implies slightly relaxed boundary conditions for the u and v displacements, but for the w displacements the usual conditions of simple supports are enforced rigorously. The stability equation in the radial direction is rederived in a modified form similar to that given by Batdorf for cylindrical shells and is solved by the Galerkin method. Typical cases are analysed. The results for hydrostatic pressure loading are compared with results found by other investigators and with those obtained by Hoff and the author in an analysis restricted to small cone angles.

Publisher

SAGE Publications

Subject

General Engineering

Reference7 articles.

1. Hoff N. J., Singer J. 1959 Proc. Internat. Union theoret. appl. Mech. Symp. Theory of Thin Elastic Shells, held at Delft, Holland, August, p. 389, ‘Buckling of circular conical shells under external pressure’ (North-Holland Publishing Co., Amsterdam).

2. A Donnell Type Theory for Asymmetrical Bending and Buckling of Thin Conical Shells

3. Note on "Stability Equations for Conical Shells"

4. The Effect of Axial Constraint on the Instability of Thin Circular Cylindrical Shells Under External Pressure

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