✦ LIBER ✦

APPLICATION OF CHEBYSHEV SERIES TO SOLUTION OF NON-PRISMATIC BEAM VIBRATION PROBLEMS

✍ Scribed by P. RUTA

Publisher: Elsevier Science
Year: 1999
Tongue: English
Weight: 196 KB
Volume: 227
Category: Article
ISSN: 0022-460X
DOI: 10.1006/jsvi.1999.2348

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✦ Synopsis

The problem of the vibration of a non-prismatic beam resting on a twoparameter elastic foundation has been solved by applying the approximation by Chebyshev series. As a result, closed analytical formulas de"ning the coe$cients of the sought solutions were obtained. The method was used to solve the eigenproblem for a simply supported beam and a cantilever beam. The obtained results were compared with the results reported by other authors.

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