Application of control-based continuation to a nonlinear system with harmonically coupled modes

L. Renson*, D. A.W. Barton, S. A. Neild

*Corresponding author for this work

Research output: Chapter in Book/Report/Conference proceedingConference Contribution (Conference Proceeding)

1 Citation (Scopus)

Abstract

The objective of this study is to demonstrate the applicability of control-based continuation to systems with multiple degrees of freedom. Experimental demonstration is performed on a nonlinear structure comprising harmonically coupled modes. The design of the feedback controller used to stabilise unstable periodic solutions is discussed. The response of the system is then traced out for constant forcing frequencies and amplitudes. System identification is performed to analyse the stability of the underlying, uncontrolled system and detect the presence of limit-point and Neimark-Sacker bifurcations.

Original languageEnglish
Title of host publicationNonlinear Dynamics - Proceedings of the 36th IMAC, A Conference and Exposition on Structural Dynamics 2018
Subtitle of host publicationFEBRUARY 12–15, 2018, ORLANDO, FL, USA
EditorsGaetan Kerschen
PublisherSpringer New York LLC
Chapter33
Pages315-316
Number of pages2
Volume1
ISBN (Print)9783319742793
DOIs
Publication statusPublished - 7 Jun 2018
Event36th IMAC, A Conference and Exposition on Structural Dynamics, 2018 - Orlando, United States
Duration: 12 Feb 201815 Feb 2018

Publication series

NameConference Proceedings of the Society for Experimental Mechanics Series
PublisherSpringer Link

Conference

Conference36th IMAC, A Conference and Exposition on Structural Dynamics, 2018
CountryUnited States
CityOrlando
Period12/02/1815/02/18

Keywords

  • Closed-loop identification
  • Control-based continuation
  • Experimental bifurcation analysis
  • Harmonic coupling
  • Multiple degrees of freedom

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