Computational Aspects of Time Integration Procedures in Structural Dynamics. Part I. Implementation. Part II. Error Propagation,

Abstract

A unified approach for the implementation of direct time integration procedures in structural dynamics is presented. Two key performance assessment factors are considered, viz., computational effort and error propagation. It is shown that these factors are strongly affected by details in the reduction of the second-order equations of motion to a system of first-order equations, and by the computational path followed at each time step. Part I is primarily devoted to the study of the organization of the computational process. Specific implementation forms derivable from the unified approach are studied in detail, and rated accordingly. (Author)

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Document Details

Document Type
Technical Report
Publication Date
Jan 01, 1977
Accession Number
ADA039784

Entities

People

  • C. A. Felippa
  • K. C. Park

Organizations

  • Lockheed Martin Missiles and Space

Tags

Communities of Interest

  • C4I
  • Energy and Power Technologies
  • Weapons Technologies

DTIC Thesaurus Topics

  • Accuracy
  • Computational Processes
  • Computational Science
  • Computer Programs
  • Computers
  • Difference Equations
  • Differential Equations
  • Equations Of Motion
  • Error Analysis
  • Errors
  • Frequency
  • Linear Systems
  • Mathematical Filters
  • Nonlinear Algebraic Equations
  • Numerical Analysis
  • Oscillators
  • Sequences

Fields of Study

  • Mathematics

Readers

  • Business Analytics
  • Finite Element Method (FEM) for solving Partial Differential Equations (PDEs)
  • Organizational Process Management (OPM).