Abstract

KEKANA, M.  and  BADURT, J.. Modelling of beams using the reduced integration technique: statics and free vibrations. R&D j. (Matieland, Online) [online]. 2000, vol.16, pp.9-15. ISSN 2309-8988.

There has been considerable interest over the past two decades in studies of locking phenomenon that occurs in shell, plate and beam elements. This has largely been due to the misunderstanding of the role of reduced integration - on the modelling of the displacement field across the thickness. Therefore, the phenomenon of locking is reviewed and re-examined using, as an illustrative example, a model of thick and thin elastic beam. It is shown that by introducing reduced integration in the stiffness matrix, instead of full integration, we introduce to the model an assumption that straight segment normal to the mid-surface before deformation stays normal after deformation. That is, reduced integration introduces the Kirchhoff-Love assumption at the numerical level. Appropriate calculations regarding thick and thin beams are presented and discussed.

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