Some Investigations Relating to the Elastostatics of a Tapered Tube

Abstract

Separation of variables for the harmonic and biharmonic is not possible for the coordinate system describing a tapered hollow cylinder so alternative methods are required. The method of characteristics, Poisson integral representations, series in two coordinate variables, and the method of successive approximations are discussed in some detail. The only method to show promise for future work is the method of successive approximations used by A. Zak to investigate singularity stresses at the end of a cylinder.

Open PDF

Document Details

Document Type
Technical Report
Publication Date
Mar 01, 1978
Accession Number
ADA054330

Entities

People

  • Barry Bernstein

Organizations

  • Battelle Memorial Institute

Tags

Communities of Interest

  • Air Platforms
  • Materials and Manufacturing Processes
  • Space
  • Weapons Technologies

DTIC Thesaurus Topics

  • Applied Mathematics
  • Bessel Functions
  • Bibliographies
  • Boundaries
  • Boundary Value Problems
  • Cartesian Coordinates
  • Conformal Mapping
  • Coordinate Systems
  • Differential Equations
  • Equations
  • Hypergeometric Functions
  • Integral Equations
  • Integrals
  • Mathematics
  • Numbers
  • Partial Differential Equations
  • Polynomials

Fields of Study

  • Mathematics

Readers

  • Calculus or Mathematical Analysis
  • Structural Dynamics.