System identification of strongly nonlinear dynamics

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

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Abstract

We provide a review of current efforts for developing a nonlinear system identification (NSI) methodology of broad applicability. We propose a methodology with analytical, computational and post-processing components, including slow flow constructions, empirical mode decompositions, and wavelet / Hilbert transforms. The proposed methodology accounts for the fact that typically nonlinear 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 sets of intrinsic modal oscillators are constructed to model specific nonlinear transitions on the FEP. Application to identification of the dynamics of a vibro-impacting beam is provided.

Original languageEnglish (US)
Title of host publicationProceedings of the 8th International Conference on Structural Dynamics, EURODYN 2011
EditorsG. Lombaert, G. Muller, G. De Roeck, G. Degrande
PublisherUniversity of Southampton, Institute of Sound Vibration and Research
Pages2342-2346
Number of pages5
ISBN (Electronic)9789076019314
StatePublished - Jan 1 2011
Event8th International Conference on Structural Dynamics, EURODYN 2011 - Leuven, Belgium
Duration: Jul 4 2011Jul 6 2011

Publication series

NameProceedings of the 8th International Conference on Structural Dynamics, EURODYN 2011

Other

Other8th International Conference on Structural Dynamics, EURODYN 2011
CountryBelgium
CityLeuven
Period7/4/117/6/11

Keywords

  • Nonlinear system identification
  • Vibro-impact

ASJC Scopus subject areas

  • Hardware and Architecture
  • Computer Networks and Communications
  • Control and Systems Engineering
  • Electrical and Electronic Engineering

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  • Cite this

    Vakakis, A. F., Bergman, L., McFarland, D. M., Lee, Y. S., & Kurt, M. (2011). System identification of strongly nonlinear dynamics. In G. Lombaert, G. Muller, G. De Roeck, & G. Degrande (Eds.), Proceedings of the 8th International Conference on Structural Dynamics, EURODYN 2011 (pp. 2342-2346). (Proceedings of the 8th International Conference on Structural Dynamics, EURODYN 2011). University of Southampton, Institute of Sound Vibration and Research.