The importance of phase-locking in nonlinear modal interactions

Tom L Hill, Andrea Cammarano, Simon Neild, D.J. Wagg

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

1 Citation (Scopus)


In nonlinear systems the constituent linear modes may interact due to internal resonance. In this paper we classify two distinct classes of modal interactions: phase-locked interactions, in which there is a specific phase between the interacting modes; and phase-unlocked interactions, in which the modes may interact regardless of their phase. This discussion is accompanied by the study of an example structure in which both classes of interaction may be observed. The structure is used to demonstrate the differences between phase-locked and phase-unlocked interactions, both in terms of their individual influence on the response, and in terms of their influence on each other when both classes of interactions are present.
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 pages10
ISBN (Electronic)978-3-319-29739-2
ISBN (Print)978-3-319-29738-5
Publication statusPublished - 2016

Publication series

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


  • Backbone curves
  • Second-order normal forms
  • Modal analysis
  • Modal interaction
  • Phase


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