Experimental modal analysis of nonlinear structures using broadband data

J. P. Noël*, L. Renson, C. Grappasonni, G. Kerschen

*Corresponding author for this work

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

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The objective of the present paper is to develop a rigorous identification methodology of nonlinear normal modes (NNMs) of engineering structures. This is achieved by processing experimental measurements collected under broadband forcing. The use of such a type of forcing signal allows to excite multiple NNMs simultaneously and, in turn, to save testing time. A two-step methodology integrating nonlinear system identification and numerical continuation of periodic solutions is proposed for the extraction of the individual NNMs from broadband input and output data. It is demonstrated using a numerical cantilever beam possessing a cubic nonlinearity at its free end. The proposed methodology can be viewed as a nonlinear generalization of the phase separation techniques routinely utilized for experimental modal analysis of linear structures. The paper ends with a comparison between this new nonlinear phase separation technique and a previously developed nonlinear phase resonance method.

Original languageEnglish
Title of host publicationDynamic Behavior of Materials
Subtitle of host publicationProceedings of the 33rd IMAC, A Conference and Exposition on Structural Dynamics, 2015
EditorsGaëtan Kerschen
PublisherSpringer, New York, NY
Number of pages22
ISBN (Electronic)9783319152219
ISBN (Print)9783319152202
Publication statusPublished - 2016
Event33rd IMAC Conference and Exposition on Structural Dynamics, 2015 - Orlando, FL, United States
Duration: 2 Feb 20155 Feb 2015

Publication series

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


Conference33rd IMAC Conference and Exposition on Structural Dynamics, 2015
Country/TerritoryUnited States
CityOrlando, FL


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


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