Buckling of Circular Conical Shells under Axisymmetrical External Pressure
- 1 December 1961
- journal article
- Published by SAGE Publications in Journal of Mechanical Engineering Science
- Vol. 3 (4) , 330-339
- https://doi.org/10.1243/jmes_jour_1961_003_045_02
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.Keywords
This publication has 3 references indexed in Scilit:
- The Effect of Axial Constraint on the Instability of Thin Circular Cylindrical Shells Under External PressureJournal of Applied Mechanics, 1960
- Note on "Stability Equations for Conical Shells"Journal of the Aerospace Sciences, 1958
- A Donnell Type Theory for Asymmetrical Bending and Buckling of Thin Conical ShellsJournal of Applied Mechanics, 1957