Bi-stability induced by motion limiting constraints on boring bar tuned mass dampers

Zsolt Iklódi*, David A W Barton, Zoltan Dombovari

*Corresponding author for this work

Research output: Contribution to journalArticle (Academic Journal)peer-review

7 Citations (Scopus)
44 Downloads (Pure)


This paper investigates the effect of displacement constraints on the attenuation performance of tuned mass dampers (TMDs) used in boring and turning applications. A simplified piecewise-smooth mechanical model is investigated through time domain simulations and hybrid periodic orbit continuation, first under harmonic excitation, then under regenerative cutting load. A quasi-frequency response function is derived for impacting TMDs through composition of different families of period-1 orbits, then an acceptability map for turning is formulated based on the appearance of cutting-edge contact-loss and fly-over events. The bi-stable domain boundaries are determined through two parameter continuation of contact-loss grazing events. It is shown that in both cases arising rigid body collisions can significantly hinder TMD damping performance and lead to resonance problems or machine tool chatter.
Original languageEnglish
Article number116538
JournalJournal of Sound and Vibration
Early online date13 Oct 2021
Publication statusPublished - 20 Jan 2022

Bibliographical note

Funding Information:
This research was supported by the Hungarian Government in the framework of the NKFIH: 2019-2.1.2- NEMZ-2019-00005 and NKFIH FK 124361 research projects.

Publisher Copyright:
© 2021 The Authors

Structured keywords

  • Engineering Mathematics Research Group


  • chatter
  • tuned mass damper
  • piecewise-smooth
  • impact
  • fly-over
  • continuation


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