A METHOD OF SUCCESSIVE APPROXIMATION APPLIED TO A CLASS OF SHELLS OF REVOLUTION WITH REGIONS OF RAPIDLY VARYING THICKNESS

Abstract

A plan of successive approximations is outlined for handling the equations of the three-dimensional problem in elasticity for shells of revolution with regions of rapidly varying thickness along the conceptual lines of a technique proposed by O. Gohner. Attention is confined to essentially cylindrical shells with regions of rapidly varying thickness, e.g., circumferential notches or grooves. For a restricted but useful class of loadings, plane biharmonic stress functions can be utilized. The first two orders of theory are explicitly formulated in the frame work of analytic functions of a complex variable.

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Document Details

Document Type
Technical Report
Publication Date
Mar 01, 1963
Accession Number
AD0406154

Entities

People

  • Oscar L. Bowie

Tags

Communities of Interest

  • Air Platforms

DTIC Thesaurus Topics

  • Air Force
  • Analytic Functions
  • Applied Mechanics
  • Biharmonic Functions
  • Complex Variables
  • Elastic Properties
  • Equations
  • Government Procurement
  • Jet Propulsion
  • Materials
  • Mechanical Properties
  • Mechanics
  • Military Research
  • New York
  • Physics Laboratories
  • Revolutions
  • Three Dimensional

Fields of Study

  • Mathematics

Readers

  • Finite Element Method (FEM) for solving Partial Differential Equations (PDEs)
  • Structural Health Monitoring of Composite Structures.