Abstract
This study focuses on the natural frequency determination of a cracked reinforced concrete beam. In a first step, the influence of the steel rebars inside the concrete beam is studied and an analytical approach is proposed for the modelling of a cracked beam with composite strengthening. An experimental validation is carried out on small-scale reinforced concrete beam. In a second step, a prevision of the cracking pattern is implemented in the modelling so as to predict the natural frequencies of a beam as a function of the maximal moment which was applied to the beam. This is experimentally validated with small-scale models and it is shown how that may be used to assess the damage of a beam.
Résumé
Cette étude s'intéresse à la détermination des fréquences propres d'une poutre en béton armé, renforcée ou non par un matériau composite. Dans un premier temps, l'influence des armatures en acier est étudiée et une modélisation d'une poutre BA renforcée par composite est proposée. Une validation expérimentale est effectuée sur des modèles réduits. Cette modélisation, associée à une prédiction réglementaire du schéma de fissuration, est utilisée pour prédire le moment maximal qui a été appliqué au système. Cette prédiction est basée sur la détermination du décalage des fréquences propres: en effet, ce décalage est caractéristique de l'endommagement de la structure.
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References
Ferrier, E. and Hamelin P., ‘Long time concrete compsoite interface characterization for reliability prediction of RC beam strengthened with FRP’,Mater. Struct. 35 (253) 564–572.
Bizindavyi, L. and Neale, K.W., ‘Transfer lengths and bond strength for composites bonded to concrete’,Journal of Composites for Construction 3 (4) (1999) 153–160.
Chajes, M.J. and Finch, W.W. Jr., ‘Bond and force transfer of composite material plates bonded to concrete,’ACI Structural Journal 93 (2) (1996) 208–217.
Meier, U., Deuring, M., Meier, H. and Schwegler, G., ‘Strengthening of structures with CFRP laminates: research and applications in Switzerland’, in Proceedings of ACMBS'1 Canada, 1992 243–251.
Triantafillou, T., ‘Shear strengthening of reinforced concrete beams using epoxy-bonded FRP’,Composites ACI Structural Journal 95 (2) (1998) 107–115.
Ovigne, P.-A., Massenzio, M., Jacquelin, E. and Hamelin, P., ‘Analytical model for the prediction of the eigen modes of a beam with open cracks and external strengthening’,Structural Engineering and Mechanics 15 (4) (2003) 437–449.
Ovigne, P.-A., Massenzio, M., Jacquelin, E. and Hamelin, P., ‘Crack bridging force transfer of composite strenghtening: a dynamic point of view’,Steel and Composite Structures 3 (1) (2003) 33–46.
Jerath, S. and Shibani, M.M., ‘Dynamic stiffness and vibration of reinforced concrete beams’,ACI Journal 82 (2) (1985).
Johns, K.C. and Belanger, M.D., ‘Dynamic stiffness of concrete beams’,ACI Journal 78 (3) (1981).
Wang, Z., Man, X.-T.C., Finch, R.D. and Jansen, B.H., ‘The dynamic behavior and vibration monitoring of reinforced concrete beams’,J. of Testing and Evaluation 26 (5) (1998) 405–419.
Dreux, G., ‘Calcul pratique du béton armé—Règles BAEL 83’ (Eyrolles, Paris, 1988).
Varastehpour, H., ‘Optimisation du renforcement des ouvrages en béton armé par des matériaux composites’, Thesis, University Lyon 1, France, 1996, 214 p.
Gudmundson, P., ‘The dynamic behavior of slender structures with cross sectional cracks’,J. Mech. Phys. Sol. 31 (4) (1983) 329–345.
Papadopoulos, C.A. and Dimarogonas, A.D., ‘Coupled longitudinal and bending vibrations of a rotating shaft with an open crack’,J. Sound and Vibration 117 (1) (1987) 81–93.
Täljsten, B., ‘Defining anchor lengths of steel and CFRP plates bonded to concrete’,Int. J. of Adhesives 17 (4) (1997).
Täljsten, B., ‘Strengthening of beams by plate bonding’,J. of Materials in Civil Engineering 9 (4) (1997) 206–212.
Fuentes, A., ‘Le béton armé après fissuration’, (Eyrolles, Paris, 1980).
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Massenzio, M., Jacquelin, E. & Ovigne, P.A. Natural frequency evaluation of a cracked RC beam with or without composite strengthening for a damage assessment. Mat. Struct. 38, 865–873 (2005). https://doi.org/10.1007/BF02482253
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DOI: https://doi.org/10.1007/BF02482253