Global-Local-Distortional Vibration of Thin-Walled Rectangular Multi-Cell Beams

Rodrigo de Moura Gonçalves, Nuno Peres, Rui Bebiano, Dinar Camotim

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8 Citations (Scopus)


This paper presents the results of an investigation concerning the free vibration behavior (undamped natural frequencies and vibration mode shapes) of thin-walled beams with rectangular multi-cell cross-section (assemblies of parallel rectangular cells in a single direction). Besides local (plate-type) and global (flexural, torsional and extensional) vibration modes, attention is paid to the relatively less-known distortional vibration modes, which involve cross-section out-of-plane (warping) and in-plane deformation, including displacements of the wall intersections. A computationally efficient semi-analytical Generalized Beam Theory (GBT) approach is employed to obtain insight into the mechanics of the problem. In particular, the intrinsic modal decomposition features of GBT-the fact that the beam is described using a hierarchical set of relevant cross-section deformation modes-are exploited to identify and categorize the most relevant vibration modes and deformation mode couplings.

Original languageEnglish
Article number1540022
JournalInternational Journal of Structural Stability and Dynamics
Issue number8
Publication statusPublished - 1 Dec 2015


  • cross-section distortion
  • Generalized Beam Theory (GBT)
  • local-plate deformation
  • rectangular multi-cell sections
  • Thin-walled members
  • vibration behavior


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