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Erschienen in:
2009 | OriginalPaper | Buchkapitel
A Study of Bending-Bending-Torsional Coupled Vibrations of Axially-Loaded Euler-Bernoulli Beams Including Warping Effects
verfasst von : Fang Zhang, Guoyan Wang
Erschienen in: Computational Structural Engineering
Verlag: Springer Netherlands
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The bending-bending-torsional coupled undamped free vibrations of axially-loaded Euler-Bernoulli beams with bi-asymmetric cross sections are studied in this paper; and the warping effect is considered. The reference point is chosen coincident with the mass center of the cross sections of the beam and reference axes are chosen parallel to the geometric axes of the cross sections; geometric parameters of the cross-sections of the beam are determined with respect to geometric axes. The numerical results show the accuracy and effectiveness of the present method, and the effects of axial load and warping rigidity on natural frequencies are discussed.