Identification of nonlinear normal modes of engineering structures under broadband forcing

Jean Philippe Noël*, L. Renson, C. Grappasonni, G. Kerschen

*Corresponding author for this work

Research output: Contribution to journalArticle (Academic Journal)peer-review

35 Citations (Scopus)
345 Downloads (Pure)


The objective of the present paper is to develop a two-step methodology integrating system identification and numerical continuation for the experimental extraction of nonlinear normal modes (NNMs) under broadband forcing. The first step processes acquired input and output data to derive an experimental state-space model of the structure. The second step converts this state-space model into a model in modal space from which NNMs are computed using shooting and pseudo-arclength continuation. The method is demonstrated using noisy synthetic data simulated on a cantilever beam with a hardening-softening nonlinearity at its free end.

Original languageEnglish
Pages (from-to)95-110
Number of pages16
JournalMechanical Systems and Signal Processing
Early online date8 May 2015
Publication statusPublished - 1 Jun 2016


  • Broadband excitation
  • Experimental data
  • Nonlinear normal modes
  • Nonlinear system identification
  • Numerical continuation


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