On the coupled, flexural−flexural−torsional vibrations of an asymmetric concrete beam

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This paper presents the analytical solution of an asymmetric L-shaped cross-section beam (concrete terrace unit) undergoing ‘triple coupling’, flexural vibration in two mutually perpendicular planes (vertical and horizontal) plus torsional vibration about an axis passing through its shear centre.
Essentially in the case of beams having no plane of symmetry, Timoshenko has stated that the problem becomes significantly complex and involved and avoided to provide a solution in his book, Vibration Problems in Engineering. It is expected that the present study will become a valuable add-on to his work contributing to academia and specialist practices.
Original languageEnglish
Article number1800035
Pages (from-to)(In-press)
Number of pages11
JournalProceedings of the Institution of Civil Engineers: Engineering and Computational Mechanics
Early online date14 Oct 2019
Publication statusPublished - 14 Oct 2019



  • concrete structures
  • dynamics
  • mathematical modelling

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