# 32-57 DESPRE MODIFICAREA FRECVENŢELOR NATURALE ALE GRINZILOR DATORITĂ COROZIUNII

ON THE NATURAL FREQUENCY CHANGES OF

BEAMS DUE TO CORROSION

This paper presents a relation to be used for deriving the effect of mass loss on the natural frequencies of beams. Herein the stiffness decrease is not considered, since its effect on the natural frequencies is well-known. Consequently, the beam was considered with a constant cross-section but with reduced volumetric mass density in the corroded region. By this approach, we have first analytically studied the beam dynamics from an energetic point of view and contrived the mathematical relation. Afterwards, this relation was successfully tested against FEM simulations.

Keywords: beam, corrosion, vibration, natural frequencies, mode shape

Cuvinte cheie: grindă, coroziune, vibraţii, frecvenţe naturale, formă modală

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