Passive vibration control by nonlinear energy pumping: Theoretical and experimental results

Alexander F. Vakakis, D. Michael McFarland, Lawrence Bergman, Leonid Manevitch, Oleg Gendelman

Research output: Chapter in Book/Report/Conference proceedingConference contribution


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.

Original languageEnglish (US)
Title of host publicationIUTAM Symposium on Chaotic Dynamics and Control of Systems and Processes in Mchanics
Subtitle of host publicationProceedings of the IUTAM Symposium held in Rome, Italy, 8-13 June 2003
Number of pages8
StatePublished - 2005

Publication series

NameSolid Mechanics and its Applications
ISSN (Print)0925-0042


  • Nonlinear energy pumping
  • Vibration control

ASJC Scopus subject areas

  • General Materials Science
  • Mechanics of Materials
  • Mechanical Engineering


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