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Bending Frequency Of A Rotating Timoshenko Beam With General Elastically Restrained Root

โœ Scribed by S.Y. Lee; Y.H. Kuo

Publisher
Elsevier Science
Year
1993
Tongue
English
Weight
256 KB
Volume
162
Category
Article
ISSN
0022-460X

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โœฆ Synopsis

The upper bound of the fundamental bending frequency of a rotating uniform Timoshenko beam with general elastically restrained root is derived via Rayleigh's principle. Comparing the upper bound with the results in the existing literature and those obtained by the transfer matrix method reveals that the upper bound is quite reliable. It can be found that as the rigidities of the elastic at root are decreased, the difference between the fundamental bending frequency evaluated for a Timoshenko beam and that evaluated for a Bernoulli-Euler beam is decreased. In addition, the effect of rotational speed and slenderness ratio on the error of the upper bound and the influence of root elastic restraints on the fundamental bending frequency are examined.

๐Ÿ“œ SIMILAR VOLUMES

Forced vibrations of a continuous beam w
Forced vibrations of a continuous beam with ends elastically restrained against rotation
โœ P.A.A. Laura; P.L. Verniere de Irassar; G.M. Ficcadenti ๐Ÿ“‚ Article ๐Ÿ“… 1984 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 306 KB

A survey of the literature shows that the titleproblem has not been studied to any great extent. In the present paper an approximate solution is obtained in the case of a beam with ends elastically restrained against rotation and an intermediate support. A sinusoidally varying excitation is assumed.