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The application of Chebyshev polynomials to the solution of the nonprismatic Timoshenko beam vibration problem

โœ Scribed by P. Ruta

Book ID
104032361
Publisher
Elsevier Science
Year
2006
Tongue
English
Weight
499 KB
Volume
296
Category
Article
ISSN
0022-460X

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๐Ÿ“œ SIMILAR VOLUMES

APPLICATION OF CHEBYSHEV SERIES TO SOLUT
APPLICATION OF CHEBYSHEV SERIES TO SOLUTION OF NON-PRISMATIC BEAM VIBRATION PROBLEMS
โœ P. RUTA ๐Ÿ“‚ Article ๐Ÿ“… 1999 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 196 KB

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

ON THE FLEXURAL VIBRATION OF TIMOSHENKO
ON THE FLEXURAL VIBRATION OF TIMOSHENKO BEAMS, AND THE APPLICABILITY OF THE ANALYSIS TO A SANDWICH CONFIGURATION
โœ M.R. Maheri; R.D. Adams ๐Ÿ“‚ Article ๐Ÿ“… 1998 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 241 KB

The viability of adapting the Timoshenko beam equations to a sandwich configuration is considered. These equations are utilised for modal analysis of solid as well as sandwich beams, including beams with a mass attached at the mid-span. Theoretical and experimental results regarding beam frequencies

LETTER TO THE EDITOR: ANOTHER MODE OF VI
LETTER TO THE EDITOR: ANOTHER MODE OF VIBRATION IN A TIMOSHENKO BEAM
๐Ÿ“‚ Article ๐Ÿ“… 1996 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 177 KB

The purpose of this letter is to report the existence of a mode of linear vibration in Timoshenko's beam theory which has escaped attention in the literature. In particular, for various boundary conditions, a condition in terms of the material and geometric parameters of the beam for its existence i