Buckling of Cylindrical Shells Subjected to Axial Loading

Abstract

Mathematically exact equations of the deflections required for a circular cylinder to buckle into a developable polyhedral shape are derived. From this equation it is seen that the tangential displacement can be readily related to the radial displacement. The exact formulas for coefficients of a Fourier series representing the radial displacements are derived for a buckled circular cylinder having any longitudinal and circumferential mode numbers. This is in contrast to earlier work in which approximate Fourier coefficients were derived for large values of circumferential mode number. The analytical expressions are derived to study buckling of individual hexagonal cells in paper honeycomb.

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Document Details

Document Type
Technical Report
Publication Date
Sep 01, 1971
Accession Number
AD0753366

Entities

People

  • Louis R. Fuka

Organizations

  • University of Texas at Austin

Tags

Communities of Interest

  • Energy and Power Technologies

DTIC Thesaurus Topics

  • Buckling
  • Cellular Structures
  • Coefficients
  • Coordinate Systems
  • Deflection
  • Equations
  • Fourier Series
  • Geometry
  • Impact Shock
  • Mechanical Properties
  • Mechanics
  • Modulus Of Elasticity
  • Prisoners Of War
  • Shape
  • Statistics
  • Stresses
  • Thickness

Readers

  • Calculus or Mathematical Analysis
  • Structural Dynamics.