Comparing Trigonometric and Conventional Finite Difference Approximations for Plate Buckling.

Abstract

Finite difference methods for plate buckling were investigated for various two-dimensional plates. The plates were clamped and simply supported. The rate of convergence to buckling coefficients, considering virtual work and equilibrium, have been compared. A trigonometric function (based on long plate theory) was incorporated into the finite difference approximations of the virtual work expression. Additional trigonometric parameters were also considered in the virtual work equation. Little difference in accuracy was found between results obtained from conventional (polynomial) virtual work versus the equilibrium approach. Noticeable improvement is obtained by using a trigonometric function (long plate assumption) in the virtual work expression.

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Document Details

Document Type
Technical Report
Publication Date
Dec 01, 1976
Accession Number
ADA034938

Entities

People

  • William Harold Deschler

Organizations

  • Air Force Institute of Technology

Tags

Communities of Interest

  • Energy and Power Technologies

DTIC Thesaurus Topics

  • Accuracy
  • Aeronautical Engineering
  • Air Force
  • Aspect Ratio
  • Bending Moments
  • Difference Equations
  • Differential Equations
  • Engineering
  • Equations
  • Finite Difference Theory
  • Flight Training
  • Grids
  • Numerical Analysis
  • Partial Differential Equations
  • Potential Energy
  • Two Dimensional
  • United States

Readers

  • Approximation Theory.
  • Structural Dynamics.