Finite element formulation of a tapered Timoshenko beam for free lateral vibration analysis

A finite element model is developed for free lateral vibration analyses of linearly tapered Timoshenko beams. The shape functions are obtained from the homogeneous solution of the governing equations for static deflections. Illustrative examples demonstrate the performance of this element, and allow...

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Veröffentlicht in:Journal of sound and vibration 1992-02, Vol.152 (3), p.461-470
Hauptverfasser: Cleghorn, W.L., Tabarrok, B.
Format: Artikel
Sprache:eng
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Zusammenfassung:A finite element model is developed for free lateral vibration analyses of linearly tapered Timoshenko beams. The shape functions are obtained from the homogeneous solution of the governing equations for static deflections. Illustrative examples demonstrate the performance of this element, and allow comparisons of results with those obtained by elements based on different formulations.
ISSN:0022-460X
1095-8568
DOI:10.1016/0022-460X(92)90481-C