Nonlinear normal modes in damped forced systems

Research output: Chapter in Book/Report/Conference proceedingChapterpeer-review


In the previous chapters of this volume, the nonlinear normal modes (NNMs) were defined and explored in conservative systems. In current chapter, the notion is extended for dynamical systems with viscous damping, as well as for the systems with external forcing. We start with a discussion about normal modes in linear damped systems. Then, we discuss an effect of the damping on the NNMs in nonlinear models. Finally, it is demonstrated that the problem of targeted energy transfer (TET) may be efficiently treated with the help of the NNM concept with account of possible time scale separation – both in autonomous and in forced systems.

Original languageEnglish
Title of host publicationModal Analysis of Nonlinear Mechanical Systems
EditorsGaetan Kerschen
Number of pages53
ISBN (Electronic)978-3-7091-1791-0
StatePublished - 2014

Publication series

NameCISM International Centre for Mechanical Sciences, Courses and Lectures


  • Hopf Bifurcation
  • Linear Oscillator
  • Nonlinear Energy Sink
  • Nonlinear Normal Mode
  • Stable Branch

All Science Journal Classification (ASJC) codes

  • Modelling and Simulation
  • Mechanics of Materials
  • Mechanical Engineering
  • Computer Science Applications


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