Structural Engineering and Mechanics

  • 제15권4호
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  • Pages.437-449
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  • 2003
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  • 1225-4568(pISSN)
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  • 1598-6217(eISSN)
테크노프레스 (Techno-Press)
권호 표지
DOI QR코드

DOI QR Code

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)
  • 투고 : 2002.07.05
  • 심사 : 2003.03.08
  • 발행 : 2003.04.25
⟨ 이전 논문 다음 논문 ⟩

초록

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.

키워드

참고문헌

  1. Abraham, O.N.L. (1993), "Dynamic modelling of cracked Timoshenko beams", Thesis, University of Wales, Cardiff.
  2. 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. https://doi.org/10.1115/1.2874463
  3. 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. https://doi.org/10.1006/jsvi.1995.0389
  4. Dimarogonas, A.D. (1976), Vibration Engineering. St Paul, West Publishers.
  5. Gudmundson, P. (1983), "The dynamic behavior of slender structures with cross sectional cracks", J. Mech. Phy. Sol., 31(4), 329-345. https://doi.org/10.1016/0022-5096(83)90003-0
  6. 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. https://doi.org/10.1016/0022-460X(87)90437-8
  7. 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. https://doi.org/10.1016/0022-460X(90)90540-G
  8. Tada, H., Paris, P. and Irwin, G. (1973), The Stress Analysis of Cracks Handbook. Hellertown, Pennsylvania, Del Research Corporation.

피인용 문헌

  1. Natural frequency evaluation of a cracked RC beam with or without composite strengthening for a damage assessment vol.38, pp.10, 2005, https://doi.org/10.1007/BF02482253
  2. Finite-element modelling of non-destructive material evaluation, an addendum: a bibliography (1997–2003) vol.12, pp.5, 2004, https://doi.org/10.1088/0965-0393/12/5/004
  3. Effect of layer length on deflection in sandwich beams vol.9, pp.3, 2017, https://doi.org/10.1007/s40091-017-0159-8