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FREE VIBRATIONS OF BEAMS WITH GENERAL BOUNDARY CONDITIONS

✍ Scribed by W.L. LI

Publisher
Elsevier Science
Year
2000
Tongue
English
Weight
180 KB
Volume
237
Category
Article
ISSN
0022-460X

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✦ Synopsis

A simple and uni"ed approach is presented for the vibration analysis of a generally supported beam. The #exural displacement of the beam is sought as the linear combination of a Fourier series and an auxiliary polynomial function. The polynomial function is introduced to take all the relevant discontinuities with the original displacement and its derivatives at the boundaries and the Fourier series now simply represents a residual or conditioned displacement that has at least three continuous derivatives. As a result, not only is it always possible to expand the displacement in a Fourier series for beams with any boundary conditions, but also the solution converges at a much faster speed. The reliability and robustness of the proposed technique are demonstrated through numerical examples.

2000 Academic Press

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