Modal Analysis of Nonlinear Mechanical Systems

G. Kerschen, A. F. Vakakis

Research output: Chapter in Book/Report/Conference proceedingChapter


The objective of this chapter is to introduce nonlinear normal modes (NNMs) to structural dynamicists who are not acquainted with them. Specifically, this chapter describes how the concept of modes can be extended to the nonlinear case. It also describes, in simple terms, the fundamental properties of NNMs, including frequency-energy dependence, harmonics, bifurcation, and stability.

Original languageEnglish (US)
Title of host publicationHandbook of Experimental Structural Dynamics
Subtitle of host publicationWith 667 Figures and 70 Tables
Number of pages32
ISBN (Electronic)9781461445470
ISBN (Print)9781461445463
StatePublished - Jan 1 2022


  • Natural frequencies
  • Nonlinearity
  • Vibration modes

ASJC Scopus subject areas

  • General Engineering
  • General Computer Science

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