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On triply coupled vibrations of thin-walled beams with arbitrary cross-section

✍ Scribed by A. Prokić

Publisher
Elsevier Science
Year
2005
Tongue
English
Weight
243 KB
Volume
279
Category
Article
ISSN
0022-460X

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✦ Synopsis

The purpose of this paper is to analyze triply coupled vibrations of thin-walled beams with arbitrary open cross-section. Starting from the Vlasov's theory, the governing differential equations for coupled bending and torsional vibrations were performed using the principle of virtual displacements. In the case of a simply supported thin-walled beam, a closed-form solution for the natural frequencies of free harmonic vibrations was derived. The significance of neglecting cross-sectional warping and rotary inertia on the accuracy of results was analyzed. A recent paper on the same subject is discussed, with a critical review of it.

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