Current efforts towards a non-linear system identification methodology of broad applicability

Alexander F Vakakis, Lawrence Bergman, D. M. McFarland, Y. S. Lee, M. Kurt

Research output: Contribution to journalReview article

Abstract

A review of current efforts towards developing a non-linear system identification (NSI) methodology of broad applicability [1-4] is provided in this article. NSI possess distinct challenges, since, even the task of identifying a set of (linearized) modal matrices modified ('perturbed') by non-linear corrections might be an oversimplification of the problem. In that context, the integration of diverse analytical, computational, and post-processing methods, such as slow flow constructions, empirical mode decompositions, and wavelet/Hilbert transforms to formulate a methodology that holds promise of broad availability, especially to systems with non-smooth non-linearities such as clearances, dry friction and vibro-impacts is proposed. In particular, the proposed methodology accounts for the fact that, typically, non-linear systems are energy- and initial condition-dependent, and has both global and local components. In the global aspect of NSI, the dynamics is represented in a frequency-energy plot (FEP), whereas in the local aspect of the methodology, sets of intrinsic modal oscillators are constructed to model specific non-linear transitions on the FEP. The similarity of the proposed methodology to linear experimental modal analysis is discussed, open questions are outlined, and some applications providing a first demonstration of the discussed concepts and techniques are provided.

Original languageEnglish (US)
Pages (from-to)2497-2515
Number of pages19
JournalProceedings of the Institution of Mechanical Engineers, Part C: Journal of Mechanical Engineering Science
Volume225
Issue number11
DOIs
StatePublished - Nov 2011

Fingerprint

Nonlinear systems
Identification (control systems)
Modal analysis
Demonstrations
Availability
Friction
Decomposition
Processing

Keywords

  • Empirical mode decomposition
  • Frequency-energy plot
  • Intrinsic modal oscillator
  • Nonlinear system identification
  • Vibro-impact dynamics

ASJC Scopus subject areas

  • Mechanical Engineering

Cite this

Current efforts towards a non-linear system identification methodology of broad applicability. / Vakakis, Alexander F; Bergman, Lawrence; McFarland, D. M.; Lee, Y. S.; Kurt, M.

In: Proceedings of the Institution of Mechanical Engineers, Part C: Journal of Mechanical Engineering Science, Vol. 225, No. 11, 11.2011, p. 2497-2515.

Research output: Contribution to journalReview article

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