Robust identification of backbone curves using control-based continuation

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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 adapted to follow the locus where system response and excitation are in quadrature, extracting the backbone curve of the underlying conservative system. The method is applied to a single-degree-of-freedom oscillator under base excitation, and the results are compared with the standard resonant-decay method.
Original languageEnglish
Pages (from-to)145-158
Number of pages14
JournalJournal of Sound and Vibration
Early online date8 Jan 2016
Publication statusPublished - 14 Apr 2016


  • Nonlinear normal modes
  • Backbone curve
  • Phase quadrature
  • Experimental continuation
  • Control-based continuation


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