Finite Difference Energy Techniques for Arbitrary Meshes Applied to Linear Plate Problems.

Abstract

A new energy based finite difference analytical technique is introduced. The method incorporates certain energy concepts and the ability to use arbitrary, irregular meshes within the framework of the Finite Difference Method. This formulation reduces any governing partial differential equations to a set of difference equations containing partial derivatives up to and including the second order. Further certain strong simularities with the popular Finite Element Method are shown and the ability to solve problems with irregular boundaries is discussed. To demonstrate the Finite Difference Energy Method several plate bending problems are solved. (Author)

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Document Details

Document Type
Technical Report
Publication Date
Jan 01, 1978
Accession Number
ADA051200

Entities

People

  • N. Perrone
  • V. Pavlin

Organizations

  • University of Maryland

Tags

Communities of Interest

  • Energy and Power Technologies

DTIC Thesaurus Topics

  • Applied Mechanics
  • Computational Science
  • Computer Programs
  • Computers
  • Coordinate Systems
  • Difference Equations
  • Differential Equations
  • Engineering
  • Equations
  • Finite Element Analysis
  • Mechanics
  • Numerical Analysis
  • Partial Differential Equations
  • Physical Properties
  • Potential Energy
  • Structural Mechanics
  • Two Dimensional

Readers

  • Calculus or Mathematical Analysis
  • Computational Fluid Dynamics (CFD)
  • Structural Dynamics.