On the Buckling and Postbuckling of Circular Arches and Rings

Abstract

The report treats the buckling and postbuckling behavior of circular arches and rings under constant directional pressure. New exact and approximate solutions are given for the linearized eigenvalue problem. It is clearly demonstrated that the assumption of inextensibility is quite reasonable for the asymmetric buckling of steeper arches and of rings. Asymptotic analyses of early postbuckling behavior are given, based on the theory of Koiter and the formalism of Budiansky and Hutchinson. The postbuckling behavior is shown to be stable, and unaffected by the assumption of inextensibility.

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Document Details

Document Type
Technical Report
Publication Date
Aug 01, 1971
Accession Number
AD0741849

Entities

People

  • Dym L. Clive

Organizations

  • Technion – Israel Institute of Technology

Tags

Communities of Interest

  • Air Platforms
  • Energy and Power Technologies
  • Space

DTIC Thesaurus Topics

  • Abstracts
  • Aeronautical Engineering
  • Air Force
  • Boundaries
  • Buckling
  • Classification
  • Differential Equations
  • Digital Computers
  • Directional
  • Eigenvalues
  • Equations
  • Geometry
  • Potential Energy
  • Security
  • Shape
  • Two Dimensional
  • Variational Equations

Readers

  • Structural Dynamics.