THERMOELASTIC ANALYSIS OF ANISOTROPIC NONHOMOGENEOUS SOLID AND HOLLOW CONES.

Abstract

The cones considered may be multilayered with each layer composed of a different orthotropic material, and the planes of elastic symmetry may be oriented differently for each layer. The problem is assumed to be axisymmetric and to possess a conical similitude which characterizes a rather broad class of problems involving long (or infinite) cones. The governing differential equations are formulated by using the linear theory of elasticity and solved by the method of finite differences. A computer program has been written which can efficiently solve many problems in one sequence, thus being especially useful for parametric studies. A number of solutions are given in this report. For one of these, the so-called dixie cup cone, the dependence of the stresses on the material lay-up angle is illustrated. For another, a cone of graphite material, it is shown that the method of treating a slender cone as an equivalent cylinder may lead to substantial errors.

Document Details

Document Type
Technical Report
Publication Date
Apr 01, 1967
Accession Number
AD0813192

Entities

People

  • Donald E. Johnson

Tags

Communities of Interest

  • Air Platforms

DTIC Thesaurus Topics

  • Axisymmetric
  • Computer Programs
  • Computers
  • Differential Equations
  • Elastic Properties
  • Equations
  • Graphitic Materials
  • Materials
  • Mathematics
  • Sequences
  • Symmetry

Readers

  • Calculus or Mathematical Analysis
  • Fluid Mechanics and Fluid Dynamics.
  • Structural Dynamics.