Passive Vibration Control by Nonlinear Energy Pumping

Theoretical and Experimental Results
  • Alexander F. Vakakis
  • D. Michael McFarland
  • Lawrence Bergman
  • Leonid Manevitch
  • Oleg Gendelman
Conference paper
Part of the Solid Mechanics and its Applications book series (SMIA, volume 122)


We analyze energy pumping phenomena in a linear periodic substructure, weakly coupled to an essentially nonlinear attachment. By energy pumping we denote passive, one-way, irreversible transfer of energy from the linear substructure to the nonlinear attachment. As a specific application the dynamics of a system of linear coupled oscillators with a nonlinear end attachment is examined. Both theoretical and experimental results are discussed, including resonance capture cascades, i.e., a series of energy pumping phenomena occurring at different frequencies, with sudden lower frequency transitions between sequential events. The observed multifrequency energy pumping cascades are particularly interesting from a practical point of view, since they indicate that nonlinear attachments can be designed to resonate and extract energy from an a priori specified set of modes of a linear structure, in compatibility with the design objectives.

Key words

Nonlinear energy pumping vibration control 


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Copyright information

© Springer 2005

Authors and Affiliations

  • Alexander F. Vakakis
    • 1
    • 2
  • D. Michael McFarland
    • 3
  • Lawrence Bergman
    • 3
  • Leonid Manevitch
    • 4
  • Oleg Gendelman
    • 4
  1. 1.Division of MechanicsNational Technical University of AthensAthens
  2. 2.Dept. of Mechanical and Industrial Engineering (adjunct)University of Illinois at Urbana-ChampaignUrbana-Champaign
  3. 3.Dept. of Aeronautical and Astronautical EngineeringUniversity of Illinois at Urbana-ChampaignUrbana-Champaign
  4. 4.Institute of Chemical PhysicsRussian Academy of SciencesRussia

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