APPROXIMATE STRUCTURAL ANALYSIS TECHNIQUES EMPLOYING UNDETERMINED PARAMETERS.

Abstract

A unified approach for the approximate solution of boundary value problems by undetermined parameters is presented. It is demonstrated how the general technique reduces to the well known method or Ritz, Galerkin, least-squares, collocations, Mikhlin, and point matching, as well as some new methods. Two examples from plate bending theory and one from steady-state heat conduction are treated numerically by various methods to demonstrate their application. Based on detailed results, comparisons are made among the methods as to accuracy, ease of application, and over-all applicability. Applications to digital computers are discussed. (Author)

Document Details

Document Type
Technical Report
Publication Date
Jul 01, 1966
Accession Number
AD0486292

Entities

People

  • I. U. Ojalvo
  • R. F. Russell

Tags

DTIC Thesaurus Topics

  • Accuracy
  • Boundaries
  • Boundary Value Problems
  • Computers
  • Computing Devices
  • Digital Computers
  • Steady State
  • Structural Analysis

Fields of Study

  • Mathematics

Readers

  • Calculus or Mathematical Analysis
  • Finite Element Method (FEM) for solving Partial Differential Equations (PDEs)