Time Marching Numerical Solution of the Dynamic Response of Nonlinear Systems (Solution Numerique Temporelle au Probleme de la Reponse Dynamique des Systemes Non-Lineaires),

Abstract

As part of the study of the nonlinear response of structural components we investigate in this report a single degree-of-freedom nonlinear response equation usually known as Duffing's equation. Previously the response curves have been investigated analytically by many authors but there seems to have been very little numerical work done in the nonlinear cases. It is shown that a numerical solution is feasible and that some of the standard analytical approximations are not accurate in the peak region of the response curve. Keywords include: Numerical analysis, Structural analysis, Duffing's equation.

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Document Details

Document Type
Technical Report
Publication Date
Jan 01, 1985
Accession Number
ADA151880

Entities

People

  • B. H. K. Lee
  • D. J. Jones

Organizations

  • National Research Council Canada

Tags

Communities of Interest

  • Materials and Manufacturing Processes

DTIC Thesaurus Topics

  • Accuracy
  • Amplitude
  • Computations
  • Differential Equations
  • Displacement
  • Dynamic Response
  • Engineering
  • Equations
  • Errors
  • Frequency
  • Mechanical Engineering
  • Nonlinear Systems
  • Numerical Integration
  • Oscillation
  • Phase Shift
  • Structural Analysis
  • Structural Components

Fields of Study

  • Engineering

Readers

  • Control Systems Engineering.
  • Fluid Dynamics.
  • Small Business Innovation Research Program (SBIR) EDI Research and Innovation.