Numerical computation of nonlinear normal modes in mechanical engineering

L. Renson*, G. Kerschen, Bruno Cochelin

*Corresponding author for this work

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

132 Citations (Scopus)
551 Downloads (Pure)


This paper reviews the recent advances in computational methods for nonlinear normal modes (NNMs). Different algorithms for the computation of undamped and damped NNMs are presented, and their respective advantages and limitations are discussed. The methods are illustrated using various applications ranging from low-dimensional weakly nonlinear systems to strongly nonlinear industrial structures.

Original languageEnglish
Pages (from-to)177-206
Number of pages30
JournalJournal of Sound and Vibration
Early online date8 Dec 2015
Publication statusPublished - 3 Mar 2016


  • nonlinear normal modes
  • numerical methods
  • periodic orbits
  • invariant manifolds
  • numerical continuation


Dive into the research topics of 'Numerical computation of nonlinear normal modes in mechanical engineering'. Together they form a unique fingerprint.

Cite this