Identification Techniques for Nonlinear Differential Equations of Motion

Abstract

This report develops and systematically demonstrates by computer simulations new nonlinear system stochastic techniques to determine the amplitude-domain and frequency-domain properties of nonlinear systems as described in proposed nonlinear differential equations of motion. From measurements of input excitation data and output response data, it is shown that this new method, based upon multiple-input/single-output (MI/SO) linear analysis of reverse dynamic systems, allows for the efficient identification of different nonlinear systems. Nonlinear systems simulated here include Duffing, Van der Pol, Mathieu, and Dead-Band systems. Keywords: Degrees of freedom, Civil engineering.

Open PDF

Document Details

Document Type
Technical Report
Publication Date
Mar 01, 1990
Accession Number
ADA220895

Entities

People

  • J. S. Bendat
  • P. A. Palo
  • R. N. Coppolino

Tags

Communities of Interest

  • Advanced Electronics
  • Energy and Power Technologies

DTIC Thesaurus Topics

  • Civil Engineering
  • Computational Science
  • Computer Simulations
  • Computers
  • Differential Equations
  • Dynamic Response
  • Engineering
  • Equations
  • Equations Of Motion
  • Frequency
  • Frequency Domain
  • Linear Systems
  • Nonlinear Differential Equations
  • Nonlinear Systems
  • Plastic Explosives
  • Resonant Frequency
  • Simulations

Fields of Study

  • Engineering

Readers

  • Control Systems Engineering.