A STUDY OF THE BEHAVIOR OF THICK CYLINDRICAL SHELLS

Abstract

The report describes three approaches to the problem of predicting stresses and displacements in thick cylindrical shells. Section I is an analysis of a ring or segment of an infinitely long thick cylindrical shell based upon the simplifying assumptions of the Winkler curved beam theory. Dynamic loading of thick rings is treated in Chapter 2 of Section I. Section II consists of a static analysis of the thick-walled circular cylinder (or ring) by the elasticity approach developed by N. I. Muskhelisvili. Shear and radial stresses on the inner boundary, outer boundary, or both boundaries constitute the loading. A rather complete theoretical development is followed by a computer program and instructions for its use. Section III presents an analysis of static stresses in axially loaded thick-walled cylinders with end caps. This axisymmetric elasticity problem is solved by finite difference techniques and Southwell stress functions. Cylinders with one end closed by either a flat or a hemispherical cap are analyzed and an example worked for each case. Cylinders with both ends capped are analyzed in the final portion of the report.

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Document Details

Document Type
Technical Report
Publication Date
Apr 01, 1965
Accession Number
AD0617064

Entities

People

  • Dale R. Carver
  • Edwin R. Chubbuck
  • Robert L. Thoms

Organizations

  • Louisiana State University

Tags

Communities of Interest

  • Air Platforms
  • Energy and Power Technologies

DTIC Thesaurus Topics

  • Cartesian Coordinates
  • Complex Variables
  • Computational Science
  • Computer Programs
  • Computers
  • Difference Equations
  • Differential Equations
  • Elastic Properties
  • Engineering
  • Fourier Series
  • Geometry
  • Grids
  • Mechanics
  • Modulus Of Elasticity
  • Notation
  • Shear Modulus
  • Shear Stresses

Readers

  • Structural Dynamics.