Approximate computation of non-linear effects in a vibrating cracked beam

Journal of Sound and Vibration

Volumn 265, Issue 4, 2003, Pages 745-763

  Luzzato, E ^a  

^a EDF R AND D   (France)

Author keywords

[No Author keywords available]

Indexed keywords

APPROXIMATION THEORY; BEAMS AND GIRDERS; COMPUTER SIMULATION; CRACKS; DYNAMIC RESPONSE; FINITE ELEMENT METHOD; MATHEMATICAL MODELS; MODAL ANALYSIS; STIFFNESS; ULTRASONIC TRANSDUCERS;

CRACK DETECTION; HARMONIC DAMAGE;

VIBRATIONS (MECHANICAL);

EID: 0043065618     PISSN: 0022460X     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0022-460X(02)01562-6     Document Type: Article

References (21)

1. S. Christides, A.S. Barr, One dimensional theory of cracked Bernoulli-Euler beams, International Journal of the Mechanical Sciences 26 (1984) 639-648.
2. J. Fernadez-Saez, L. Rubio, C. Navarro, Approximate calculation of the fundamental frequency for bending vibrations of cracked beams, Journal of Sound and Vibration 225 (2) (1999) 345-352.
3. W. Ostachowicz, M. Krawczuk, On modelling of structural stiffness loss due to damage, Key Engineering Materials 204-205 (2001) 185-200.
4. P. Rizos, N. Aspragathos, A. Dimarogonas, Identification of crack location and magnitude in a cantilever beam from the vibration modes, Journal of Sound and Vibration 138 (1990) 381-388.
5. P. Y. Narkis, Identification of crack location in vibrating simply supported beams, Journal of Sound and Vibration 172 (1994) 549-558.
6. A. K. Pandey, M. Biswas, Experimental verification of flexibility difference method for locating damage in structures, Journal of Sound and Vibration 184 (2) (1995) 311-328.
7. S. Masoud, M. Jarrah, M. Al-Maamory, Effect of crack depth on the natural frequency of a prestressed fixed-fixed beam, Journal of Sound and Vibration 214 (2) (1998) 201-212.
8. S. Cheng, X. Wu, W. Wallace, A. Swamidas, Vibrational response of a beam with a breathing crack, Journal of Sound and Vibration 225 (1) (1999) 201-208.
9. A. Dimarogonas, S. Paipetis, Analytical Methods in Rotor Dynamics, Applied Science Publishers, London, 1983.
10. O. Buck, W. Morris, J. Richardson, Acoustic harmonic generation at unbounded interfaces and fatigue cracks, Applied Physics Letters 33 (5) (1978) 371-373.
11. W. Morris, O. Buck, R. Inman, Acoustic harmonic generation due to fatigue damage in high strength aluminium, Applied Physics Letters 50 (11) (1979) 6737-6741.
12. O.S. Jun, H.J. Eun, Y.Y. Earmme, C.W. Lee, Modelling and vibration analysis of a simple rotor with a breathing crack, Journal of Sound and Vibration 155 (2) (1992) 273-290.
13. J. Wauer, On the dynamics of cracked rotors: a literature survey, Applied Mechanics Review 43 (1) (1990) 13-17.
14. R. Gasch, A survey of the dynamic behaviour of a simple rotating shaft with a transverse crack, Journal of Sound and Vibration 160 (2) (1992) 313-332.
15. G.E. Dace, O. Buck, R.B. Thompson, Using non-linear acoustics for non destructive materials characterization and evaluation, in: P.J. Raju (Ed.), Vibro-Acoustic Characterization of Materials and Structures, NCA, Vol. 14, ASME, New York, 1992, pp. 221-225.
16. D.M. Donskoy, K. Ferroni, A.M. Sutin, K. Sheppard, A non-linear acoustic technique for crack and corrosion detection in reinforced concrete, in: R.E. Green Jr. (Ed.), Non-destructive Characterization of Material VIII, Plenum Press, New York, 1998, pp. 555-560.
17. A.M. Sutin, D.M. Donskoy, Vibro-acoustic modulation non-destructive evaluation technique, in: G.A. Geithman, G.E. Georgeson (Eds.), Nondestructive Evaluation of Aging Aircraft, Airports and Aerospace Hardware II, Proceedings of SPIE-The International Society of Optical Engineering, Vol. 3397, SPIE, Bellingham, WA, 1998, pp. 226-237.
18. A.E. Ekimov, I.N. Didenkulov, V.V. Kazakov, Modulation of torsional waves in a rod with a crack, Journal of the Acoustical Society of America 106 (3) (1999) 1289-1292.
19. V. Zaitsev, P. Sas, Non-linear response of a weakly damaged metal sample: a dissipative modulation mechanism of vibro-acoustic interaction, Journal of Vibration and Control 6 (2000) 803-822.
20. K. Krzywosz, S. Walker, Non-linear vibro-acoustic screening system for detecting cracks in pipe socket welds, E.P.R.I. - N.D.E. Center, Charlotte, NC, Final Report TR-110427, 1999.
21. S. Cambier, E. Luzzato, Prise en compte des incertitudes dans les calculs vibratoires de tuyauteries-approaches fonctionnelles et probabilistes, Table Ronde MV2: Approche Robuste en Dynamique des Structures, 2000.