A GENERALIZED FINITE-DIFFERENCE SOLUTION OF AXISYMMETRIC ELASTIC STRESS STATES IN THIN SHELLS OF REVOLUTION

Abstract

A generalized finite-difference method for the determination of axisymmetric elastic stress states in thin shells of revolution is presented. Orthotropy, arbitrarily varying thickness and loading along the meridian, temperature variation both along the meridian and through the thickness, variation of material properties with respect to temperature, and linearized large deflection effects are considered. For isotropic shells of uniform temperature, the governing equations of equilibrium and compatibility, with the large deflection effects neglected, reduce to the finite-difference equivalent oian elimination method by specializing the technique of application to the band matrix of the problem. Numerical results are compared with those given by other methods, and the procedure used in obtaining a small-deflection solution to a missile pressure chamber problem is outlined. (Author)

Document Details

Document Type
Technical Report
Publication Date
Jun 01, 1961
Accession Number
AD0264445

Entities

People

  • Ralph E. Hubka

Organizations

  • TRW Inc.

Tags

DTIC Thesaurus Topics

  • Arrhenius Equation
  • Axisymmetric
  • Deflection
  • Elimination
  • Equations
  • Lepidoptera
  • Materials
  • Mathematics
  • Revolutions
  • Thickness

Readers

  • Structural Dynamics.