STRESSES ABOUT A CIRCULAR HOLE IN A CYLINDRICAL SHELL.

Abstract

The effects of a circular hole on the initial states of uniform stress produced by loading an infinite shallow cylindrical shell by axial tension, internal pressure, and torsion are determined. The linear equations for a thin, shallow cylindrical shell are reduced to a single complex differential equation involving the dimensionless curvature parameter beta. The solution to this equation is written as an infinite series, and a numerical collocation procedure is used to obtain the stresses in the shell for values of beta up to 4. Boundary layer techniques are employed to obtain approximations of the stresses for large values of the parameter beta. (Author)

Document Details

Document Type
Technical Report
Publication Date
Sep 01, 1964
Accession Number
AD0608264

Entities

People

  • Peter Van Dyke

Organizations

  • Harvard University

Tags

DTIC Thesaurus Topics

  • Boundaries
  • Boundary Layer
  • Curvature
  • Differential Equations
  • Equations
  • Geometry
  • Infinite Series
  • Internal Pressure
  • Layers
  • Mathematics

Fields of Study

  • Mathematics

Readers

  • Structural Dynamics.