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TRANSVERSE VIBRATIONS OF SHORT BEAMS: FINITE ELEMENT MODELS OBTAINED BY A CONDENSATION METHOD

โœ Scribed by S. Corn; N. Bouhaddi; J. Piranda

Publisher
Elsevier Science
Year
1997
Tongue
English
Weight
380 KB
Volume
201
Category
Article
ISSN
0022-460X

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โœฆ Synopsis

This paper is concerned with the dynamic behaviour of Timoshenko beams. A new method for simply and systematically constructing finite beam elements is then proposed. The continuous model, which takes into account both rotary inertia and transverse shear deformation, is presented as a tutorial review. It allows certain vibratory phenomena characteristic of short beams to be demonstrated. A method is proposed for constructing a two-node finite element based on Guyan condensation that leads to the results of classical formulations, but in a simple and systematic manner. This element is verified with numerical and experimental tests. The proposed method is then generalized in order to obtain new improved three-node finite elements.

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