Experimental analysis of a softening-hardening nonlinear oscillator using control-based continuation

Ludovic Renson, David Barton, Simon Neild

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

3 Citations (Scopus)


Control-based continuation is a recently-developed approach for testing nonlinear dynamic systems in a controlled manner and exploring their dynamic features as system parameters are varied. In this paper, control-based continuation is used to track directly in the experiment the steady-state periodic solutions of a single-degree-of-freedom oscillator presenting a softening-hardening restoring force. The oscillator forced response is investigated and fully characterized in forcing amplitude and frequency. The oscillator’s backbone curve is then extracted directly in the experiment by following a phase quadrature condition between the oscillator response and the base excitation.
Original languageEnglish
Title of host publicationNonlinear Dynamics, Volume 1
Subtitle of host publicationProceedings of the 34th IMAC, A Conference and Exposition on Structural Dynamics 2016
Number of pages9
ISBN (Electronic)9783319297392
ISBN (Print)9783319297385
Publication statusPublished - 2016

Publication series

NameConference Proceedings of the Society for Experimental Mechanics Series
ISSN (Print)2191-5644

Structured keywords

  • Engineering Mathematics Research Group


  • Experimental nonlinear dynamics
  • Forced response
  • Backbone curves
  • Softening-hardening
  • Control-based continuation


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