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

2015; World Scientific; Volume: 15; Issue: 08 Linguagem: Inglês

10.1142/s0219455415400222

1793-6764

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

Vibration and Dynamic Analysis

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.