FINITE DIFFERENCE APPROXIMATION OF THE DEFLECTION EQUATIONS OF A CONICAL SHELL WITH CLOSED BASE

Abstract

In this report are given finite difference approximations to the differential equations for the following problems: (1) the bending of a variable-thickness truncated right conical shell attached to an axially and sectionally symmetric base plate of variable thickness, (2) the bending of two joined variable-thickness truncated right conical shells. In case (1) above, the terms arising from consideration of the transverse deflection of the base caused by radial loading have been included. As a consequence the finite difference equations are non-linear. For solutions of these equations the author suggests an iterative scheme combined with a direct method based on the factorization theorem for square matrices. In case (2), the finite difference equations are linear and procedures for solution are straightforward.

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Document Details

Document Type
Technical Report
Publication Date
Sep 01, 1964
Accession Number
AD0612664

Entities

People

  • J. Alex Heller

Tags

Communities of Interest

  • Air Platforms

DTIC Thesaurus Topics

  • Boundaries
  • Coordinate Systems
  • Corporations
  • Deflection
  • Difference Equations
  • Differential Equations
  • Digital Computers
  • Equations
  • Geometry
  • Linear Systems
  • Modulus Of Elasticity
  • Thickness

Fields of Study

  • Mathematics

Readers

  • Finite Element Method (FEM) for solving Partial Differential Equations (PDEs)
  • Structural Dynamics.