BUCKLING OF CIRCULAR CONICAL SHELLS UNDER AXISYMMETRIC EXTERNAL PRESSURE,

Abstract

The stability equations for thin conical shells derived by Seide (J. Appl. Mechanics, 24, No. 4, 547; Dec 1957) 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 (NACA Report 874, 1947) for cylindrical shells and is solved by the Galerkin method. Results for the case of hydrostatic pressure are compared with those obtained by Hoff (AFDSR TR (Final) 59203, Dec 1959) in an analysis restricted to small cone angles, and with the results found by other investigators. (Author)

Document Details

Document Type
Technical Report
Publication Date
Nov 01, 1960
Accession Number
AD0262194

Entities

People

  • Josef Singer

Organizations

  • Technion – Israel Institute of Technology

Tags

DTIC Thesaurus Topics

  • Axisymmetric
  • Boundaries
  • Buckling
  • Displacement
  • Equations
  • Fluid Mechanics
  • Galerkin Method
  • Hydrostatic Pressure
  • Mechanical Phenomena
  • Mechanics
  • Physics
  • Statics

Fields of Study

  • Physics

Readers

  • Calculus or Mathematical Analysis
  • Snow Cover Descriptors for Reptiles and Their Illustrations.
  • Structural Dynamics.