The application of inerter in tuned mass absorber

P. Brzeski, E. Pavlovskaia, T. Kapitaniak, P. Perlikowski*

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

76 Citations (Scopus)


In this paper we investigate the dynamics of tuned mass absorber with additional viscous damper and inerter attached to the pendulum. The devices are used to damp out oscillations of non-linear Duffing oscillator. Analysis of how these devices influence the dynamics of tuned mass absorber and its damping properties is shown. We calculate the detailed bifurcation diagrams and show how by changing the parameters of damper and inerter one can eliminate dangerous dynamic instabilities from the systems. Finally, in the last section we present an optimization of TMA's parameters in order to achieve best efficiency in damping of the main body vibrations.

Original languageEnglish
Pages (from-to)20-29
Number of pages10
JournalInternational Journal of Non-Linear Mechanics
Early online date19 Oct 2014
Publication statusPublished - 1 Apr 2015

Bibliographical note

This work has been supported by Young Scientists Fund of Faculty of Mechanical Engineering at the Lodz University of Lodz.


  • Bifurcation analysis
  • Duffing oscillator
  • Inerter
  • Optimization
  • Pendulum
  • Tuned mass absorber


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