@article {Corn:1997:0022-460X:353, author = "Corn S.", author = "Bouhaddi N.", author = "Piranda J.", title = "TRANSVERSE VIBRATIONS OF SHORT BEAMS: FINITE ELEMENT MODELS OBTAINED BY A CONDENSATION METHOD", journal = "Journal of Sound and Vibration", volume = "201", year = "1997", 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.
", pages = "353-363(10)", url = "http://www.ingentaconnect.com/content/ap/sv/1997/00000201/00000003/art00766" }