The Application of Modal Coordinate Methods to Large Nonlinear Time- Dependent Problems

Abstract

The research presented in this document demonstrates the application of a modal projection scheme based on inverse Lanczos iteration to a variety of problems in computational mechanics. All the cases considered are nonlinear and time-dependent, and Lanczos vectors are used to achieve coordinate reductions that substantially reduce the sizes of the underlying problems. Varying degrees of success are encountered in these reductions, depending upon numerical characteristics of the original Finite-Element models. A review of the theory of modal projection methods is presented in order to explain the results of the reduced coordinate approximations.

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Document Details

Document Type
Technical Report
Publication Date
Nov 01, 1988
Accession Number
ADA203913

Entities

People

  • Kyran D. Mish
  • Leonard R. Herrmann

Organizations

  • University of California

Tags

Communities of Interest

  • Air Platforms

DTIC Thesaurus Topics

  • Civil Engineering
  • Computational Mechanics
  • Computational Science
  • Computers
  • Differential Equations
  • Dynamic Response
  • Eigenvalues
  • Eigenvectors
  • Engineering
  • Equations
  • Finite Element Analysis
  • Geometry
  • Mathematical Analysis
  • Mechanics
  • Modal Analysis
  • Soil Dynamics
  • Three Dimensional

Fields of Study

  • Physics

Readers

  • Finite Element Method (FEM) for solving Partial Differential Equations (PDEs)