LOW BUCKLING LOADS OF AXIALLY COMPRESSED CONICAL SHELLS,

Abstract

The stability of simply supported conical shells under axial compression is investigated for 4 different sets of in-plane boundary conditions with a linear Donnell type theory. The first two stability equations are solved by the assumed displacement, while the third is solved by a Galerkin procedure. The boundary conditions are satisfied with 4 unknown coefficients in the expressions for u and v. Both circumferential and axial restraints are found to be of primary importance. Buckling loads about half the 'classical' ones are obtained for all but the stiffest simple supports SS4 (v = u = o). The low buckling loads for 'classical' simple supports SS3 are confirmed by two different methods of analysis, a closed form solution in Hankel functions and a finite difference solution. Except for short shells, the effects do not depend on the length of the shell. Buckling under combined axial compression and external or internal pressure is studied and interaction curves were calculated for the 4 sets of in-plane boundary conditions. (Author)

Document Details

Document Type
Technical Report
Publication Date
Jan 01, 1968
Accession Number
AD0674073

Entities

People

  • Josef Singer
  • Menahem Baruch
  • Ovadia Harari

Organizations

  • Technion – Israel Institute of Technology

Tags

Communities of Interest

  • Air Platforms

DTIC Thesaurus Topics

  • Boundaries
  • Buckling
  • Coefficients
  • Compression
  • Displacement
  • Equations
  • Internal Pressure
  • Mathematics

Readers

  • Structural Dynamics.