Damping of torsional vibrations in thin-walled beams by viscous bimoments

David Hoffmeyer*, Jan Høgsberg

*Corresponding author for this work

Research output: Contribution to journalJournal articleResearchpeer-review


Torsional vibrations in beams are damped by discrete, axial viscous dampers in configurations constituting bimoments. The bimoments act on warping displacements and partial restraining of warping suggests the inclusion of a flexibility parameter, calibrated from numerical results. Correcting for distortion is incorporated in a similar manner. The use of the governing differential equation with calibrated parameters as an alternative to a full complex analysis by a FE model is justified by an example. It is demonstrated that the differential equation determines the damped frequencies and damping ratios with great accuracy. Significant damping ratios of the lowest torsional mode are obtained.

Original languageEnglish
JournalMechanics of Advanced Materials and Structures
Issue number3
Pages (from-to)308-320
Publication statusPublished - 2021
Externally publishedYes


  • bimoment
  • damping
  • finite element method
  • thin-walled beams
  • Torsional vibrations
  • warping


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