AN ITERATIVE METHOD FOR THE ANALYSIS OF LARGE STRUCTURAL SYSTEMS,

Abstract

An iterative method to analyze large structural systems subjected to static and thermal loadings is developed. This method is essentially the displacement method of analysis in which the finite elements are grouped into convenient size substructures. The analysis proceeds with one substructure at a time, and a process of iteration establishes the continuity of the system. The speed of convergence depends on the nature of the stiffness matrices of the substructures. To illustrate the method, two frame structures are analyzed. One is an 1800 degree of freedom system and the other a smaller system. The purpose of the larger one is to estimate the computational time involved. The results of the smaller system (by iterative analysis) are compared with those obtained from direct analysis, and the results are nearly the same. The main advantages of the iteration method are that the entire computational scheme can be carried out without exceeding the core capacity of the computer, and the method is more economical with respect to computational time than the direct analysis. (Author)

Document Details

Document Type
Technical Report
Publication Date
Apr 01, 1968
Accession Number
AD0670846

Entities

People

  • V. B. Venkayya

Organizations

  • Flight Dynamics Laboratory

Tags

DTIC Thesaurus Topics

  • Computers
  • Computing Devices
  • Continuity
  • Convergence
  • Displacement
  • Flexural Properties
  • Iterations
  • Mathematical Analysis
  • Mathematics
  • Stiffness

Fields of Study

  • Engineering

Readers

  • Finite Element Method (FEM) for solving Partial Differential Equations (PDEs)
  • Structural Dynamics.
  • Theoretical Analysis.