Detection of Structural Modifications of an Euler-Bernoulli Beam through Modal Parameters Variation

Gwendal Cumunel (1) , Thi-Thu-Ha Le (1) , Pierre Argoul (1)

1 Dynamique des structures et identification

This research deals with a class of identification problems mainly concerning the localization of structural modifications in elastic beams with or without tension by dynamic analysis. Variations of tension, mass density and/or bending stiffness induce variations of the beam natural frequencies. For each natural frequency, a first order estimate of this modification is then established. It depends on the variations of tension, density and bending stiffness and also on the corresponding mode shape and curvature mode shape of the initial state. When the variations of density and flexural rigidity are localized along the beam (as for a notch in a beam or a crack in a cable), this estimate is used to propose a procedure permitting detection, localization and, eventually, quantification of these variations knowing the modifications of the first natural frequencies and the variation of tension. This procedure is applied successfully to experimental data found in literature concerning beams without tension and only bending stiffness modifications.

Mots clés: Damage detection and localization; Modal analysis; Structural simulation

Domaines: Mécanique [physics]; Mécanique [physics.med-ph]; Statistiques [math.ST]; Théorie [stat.TH]; Electrons fortement corrélés [cond-mat.str-el]; Physique Atomique [physics.atom-ph]

Gwendal Cumunel, Thi-Thu-Ha Le, Pierre Argoul. Detection of Structural Modifications of an Euler-Bernoulli Beam through Modal Parameters Variation. EWSHM - 7th European Workshop on Structural Health Monitoring, IFFSTTAR, Inria, Université de Nantes, Jul 2014, Nantes, France. s.p. ⟨hal-01021226⟩