AN APPLICATION OF PERTURBATION THEORY TO THE NON-HOMOGENEOUS ELASTIC THICK-WALLED TUBE,

Abstract

An application is presented of perturbation theory to the determination of stresses and displacements in an axially symmetric, non-homogeneous thick-walled tube inside a thin shell. There is no criteria for the order of the perturbation, but the solution is asymptotic in the sense that for zero perturbation it is exact. The usefullness of the method in the past has been in the fact that it gives accurate results for rather 'large' perturbation. The accuracy of the results obtained here is discussed by comparing them to rigorous known solutions.

Document Details

Document Type
Technical Report
Publication Date
Jun 01, 1961
Accession Number
AD0614972

Entities

People

  • W. R. Spillers

Organizations

  • Columbia University

Tags

DTIC Thesaurus Topics

  • Accuracy
  • Displacement
  • Mathematical Analysis
  • Perturbation Theory
  • Perturbations

Fields of Study

  • Mathematics

Readers

  • Plasma Physics / Magnetohydrodynamics
  • Structural Dynamics.