THIN - A Computer Program for Analyzing the Axisymmetric Behavior of Thin Spherical Shells

Abstract

The computer program THIN obtains the solution of the equations of equilibrium governing the small deflections of thin spherical shells using an algorithm called 'Dynamic Relaxation.' It is assumed that the material properties of the shell are constant and that the shell is closed at the apex. The conditions at the outer edge can be chosen to be either clamped, simply- supported or supported on a transverse roller-skate. This report describes the input/output requirements of the program, the behavior of the 'Dynamic Relaxation' algorithm and estimates the accuracy of the program by comparing numerical results obtained using THIN with either exact analytical solutions or analytical solutions where accuracy can be assessed.

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Document Details

Document Type
Technical Report
Publication Date
Oct 01, 1975
Accession Number
ADB007306

Entities

People

  • Harry E. Williams

Organizations

  • Naval Air Weapons Station China Lake

Tags

Communities of Interest

  • Air Platforms
  • Energy and Power Technologies
  • Weapons Technologies

DTIC Thesaurus Topics

  • Accuracy
  • Algorithms
  • Axisymmetric
  • Computer Programs
  • Computers
  • Constitutive Equations
  • Differential Equations
  • Displacement
  • Dynamic Response
  • Equations
  • Equations Of Motion
  • Geometry
  • Integrals
  • Materials
  • Pressure Distribution
  • Test And Evaluation
  • Thickness

Fields of Study

  • Physics

Readers

  • Computer Science.
  • Finite Element Method (FEM) for solving Partial Differential Equations (PDEs)
  • Plasma Physics / Magnetohydrodynamics