Damping of coupled bending-torsion beam vibrations by a two-dof tmd with analogous coupling

Jan Høgsberg*

*Corresponding author for this work

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Abstract

Coupled bending-torsion vibrations of a beam with a single cross-section axis of symmetry are mitigated by a two-degree-of-freedom (dof) tuned mass damper with a coupling analogous to that of the beam. By modal truncation a four-degree-of-freedom model is derived for tmd tuning. Because of the analogous tmd properties, a stiffness tuning formula identical to that for the classic tuned mass damper secures inverse relations between all four undamped natural frequencies. Expressions for the tmd damping are subsequently found by a numerical search, which maximizes the smallest of the four damping ratios, resulting in equal damping in three of the four modes. The two-dof coupled tmd is finally assessed by numerical root locus and frequency response analysis for a full flexible beam.
Original languageEnglish
JournalJournal of Structural Dynamics
Volume1
Issue number1
Pages (from-to)1-20
ISSN2684-6500
DOIs
Publication statusPublished - 2021

Keywords

  • Structural dynamics
  • Coupled vibrations
  • Damping
  • Tuned mass damper

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