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

Authors: Corn S.; Bouhaddi N.; Piranda J.

Source: Journal of Sound and Vibration, Volume 201, Number 3, 1997 , pp. 353-363(11)

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Abstract:

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.

Language: English

Document Type: Research article

Affiliations: Laboratoire de Mecanique Appliquee R. Chaleat, U.F.R. Sciences et Techniques, 24 rue de l'Epitaphe, 25030 Besancon Cedex, France

Publication date: 1997-01-01