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http://dx.doi.org/10.12989/sem.2003.15.4.437

Analytical model for the prediction of the eigen modes of a beam with open cracks and external strengthening  

Ovigne, P.A. (Laboratoire Mecanique Materiaux et Structures, Universite Claude Bernard)
Massenzio, M. (Laboratoire Mecanique Materiaux et Structures, Universite Claude Bernard)
Jacquelin, E. (Laboratoire Mecanique Materiaux et Structures, Universite Claude Bernard)
Hamelin, P. (Laboratoire Mecanique Materiaux et Structures, Universite Claude Bernard)
Publication Information
Structural Engineering and Mechanics / v.15, no.4, 2003 , pp. 437-449 More about this Journal
Abstract
The aim of this study is to develop an analytical model of a beam with open cracks and external strengthening which is able to predict its modal scheme components (natural frequencies and mode shapes). The model is valid as far as the excitation level is low enough not to activate non linear effects. The application field of the model are either the prediction of the efficiency of the reinforcement or the non destructive assessment of the structural properties. The degrees of freedom associated to the fault lips must be taken into account in order to introduce the effect of the external strengthening. In a first step, an analytical formulation of a beam with thin notches is proposed according to the references. The model is then extended to incorporate the strengthening consisting in a longitudinal stiffness applied in the vicinity of the cracks. In a second step, the analytical results are compared with these obtained from a finite element simulation.
Keywords
eigen modes; beam; open crack; external strengthening;
Citations & Related Records

Times Cited By Web Of Science : 1  (Related Records In Web of Science)
Times Cited By SCOPUS : 1
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1 Abraham, O.N.L. (1993), "Dynamic modelling of cracked Timoshenko beams", Thesis, University of Wales, Cardiff.
2 Papadopoulos, C.A. and Dimarogonas, A.D. (1987), "Coupled longitudinal and bending vibrations of a rotating shaft with an open crack", J. Sound Vib., 117(1), 81-93.   DOI   ScienceOn
3 Dimarogonas, A.D. (1976), Vibration Engineering. St Paul, West Publishers.
4 Qian, G.L., Gu, S.N. and Jiang, J.S. (1990), "The dynamic behavior and crack detection of a beam with a crack", J. Sound Vib., 138(2), 233-243.   DOI   ScienceOn
5 Tada, H., Paris, P. and Irwin, G. (1973), The Stress Analysis of Cracks Handbook. Hellertown, Pennsylvania, Del Research Corporation.
6 Abraham, O.N.L. and Brandon, J.A. (1995), "The modelling of the opening and closing of a crack", Transactions of the American Society of Mechanical Engineers: Journal of Vibration and Acoustics, 117, 370- 377.   DOI
7 Gudmundson, P. (1983), "The dynamic behavior of slender structures with cross sectional cracks", J. Mech. Phy. Sol., 31(4), 329-345.   DOI   ScienceOn
8 Brandon, J.A. and Abraham, O.N.L. (1995), "Counter-intuitive quasi-periodic motion in autonomous vibration of cracked Timoshenko beams", J. Sound Vib., 185(3), 415-430.   DOI   ScienceOn