GBT-based Vibration Analysis of Cracked Steel-Concrete Composite Beams

David Henriques, Rodrigo Gonçalves, Carlos Sousa, Dinar Camotim

Research output: Chapter in Book/Report/Conference proceedingConference contributionpeer-review


This paper presents a computationally efficient finite element, based on Generalised Beam Theory (GBT), that enables assessing the vibration serviceability limit state (the calculation of undamped natural frequencies and vibration mode shapes) of steel-concrete composite beams, accounting for concrete cracking and cross-section in-plane and out-of-plane deformation. It is shown that the modal decomposition features of GBT enable an in-depth characterisation of the vibration modes. A numerical example is presented to illustrate the accuracy and efficiency of the proposed element, through comparison with refined shell finite element model results.

Original languageEnglish
Title of host publicationRecent Trends in Wave Mechanics and Vibrations
Subtitle of host publicationProceedings of WMVC 2022
EditorsZuzana Dimitrovová, Rodrigo Gonçalves, Zuzana Dimitrovová, Paritosh Biswas, Tiago Silva
Place of PublicationBerlin
PublisherSpringer Science and Business Media B.V.
Number of pages11
ISBN (Electronic)9783031157585
ISBN (Print)9783031157578
Publication statusPublished - 7 Oct 2022
Event10th International Conference on Wave Mechanics and Vibrations, WMVC 2022 - Lisbon, Portugal
Duration: 4 Jul 20226 Jul 2022

Publication series

NameMechanisms and Machine Science
Volume125 MMS
ISSN (Print)2211-0984
ISSN (Electronic)2211-0992


Conference10th International Conference on Wave Mechanics and Vibrations, WMVC 2022


  • Concrete cracking
  • Cross-section deformation
  • Generalised Beam Theory (GBT)
  • Natural frequencies
  • Steel-concrete composite beams
  • Vibration modes


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