A Survey of Direct Integration Methods in Structural Dynamics

Abstract

Several alternative methods for directly integrating the governing equations of motion of structural dynamics are reviewed. First, the characteristics of the matrix equations are examined (e.g.; the spread in structural eigenvalues, or stiffness; the bandwidth and sparseness; and the frequency spectrum of the forcing function). Then, the criteria that can be used to select a direct integration algorithm are discussed (e.g.; the artificial damping, the periodicity error). Emphasis is given to results obtained for the Houbolt, Newmark and Wilson operators, and their comparison to a class of stiffly stable operators. Recent application of these operators to nonlinear problems is discussed.

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Document Details

Document Type
Technical Report
Publication Date
Apr 01, 1972
Accession Number
AD0743984

Entities

People

  • Robert E. Nickell

Organizations

  • Brown University

Tags

Communities of Interest

  • Air Platforms
  • Autonomy
  • Space

DTIC Thesaurus Topics

  • Differential Equations
  • Dynamic Response
  • Dynamics
  • Eigenvalues
  • Equations
  • Equations Of Motion
  • Frequency
  • Governments
  • Numerical Analysis
  • Periodic Variations
  • Resonant Frequency
  • Spectra
  • Stiffness
  • United States
  • United States Government
  • Vibration
  • Wave Propagation

Readers

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