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1.

Free vibrations of tapered shear deformable column Pages 1-12 Right click to download the paper Download PDF

Authors: Byoung Koo Lee, Sang Jin Oh, Tae Eun Lee, Gweon Sik Kim

DOI: 10.5267/j.esm.2020.8.001

Keywords: Free vibration, Tapered column, Shear deformation, Mode shape, Natural frequency

Abstract:
In this paper, free vibrations of the tapered shear deformable column are studied. The column is clamped at the bottom and is free or hinged or clamped at the top. The column has a tapered cross-section, square and circular, under the condition of constant volume. The axial compressive load is acted to the top. The differential equations of such column were derived, in which the effects of the rotary inertia and shear deformation were included. For computing natural frequencies with mode shapes, the differential equations were solved numerically. The effects of column parameters of the frequencies and mode shapes were performed, and its results were extensively discussed.
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Journal: ESM | Year: 2021 | Volume: 9 | Issue: 1 | Views: 1148 | Reviews: 0

 

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