The Solution of Nonlinear Time-Dependent Problems Usng Modal Coordinates.

Abstract

An algorithm for the solution of a class of nonlinear time-dependent problems using reduced modal coordinates is proposed and implemented. Example problems in one space dimension are modeled, and comparisons made to exact solutions. The results of these examples are used to make suggestions for further research. Keywords: nonlinear finite element analysis; eigenvectors; Ritz vectors; Lanczos vectors, and modal analysis.

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Document Details

Document Type
Technical Report
Publication Date
Dec 01, 1985
Accession Number
ADA163535

Entities

People

  • Darl M. Romstad
  • Kyran D. Mish
  • Leonard R. Herrmann

Organizations

  • University of California

Tags

Communities of Interest

  • Energy and Power Technologies

DTIC Thesaurus Topics

  • Algorithms
  • California
  • Civil Engineering
  • Coordinate Systems
  • Differential Equations
  • Eigenvectors
  • Engineering
  • Equations
  • Equations Of Motion
  • Finite Element Analysis
  • Frequency
  • Modal Analysis
  • Numerical Integration
  • Parallel Computing
  • Parallel Processing
  • Partial Differential Equations
  • Resonant Frequency

Readers

  • Calculus or Mathematical Analysis
  • Computational Modeling and Simulation
  • Linear Algebra

Technology Areas

  • Space