Effects of a crack on the stability of a non-linear rotor system

International Journal of Non-Linear Mechanics

Volumn 42, Issue 7, 2007, Pages 959-972

  Sinou, Jean Jacques ^a  

^a LABORATOIRE DE TRIBOLOGIE ET DYNAMIQUE DES SYSTÈMES   (France)

Author keywords

Cracked rotor; Harmonic balance method; Non linear vibration; Rotating machinery; Stability analysis in the frequency domain

Indexed keywords

CRACKS; FREQUENCY DOMAIN ANALYSIS; MATHEMATICAL MODELS; PARAMETER ESTIMATION; ROTORS; TIME VARYING SYSTEMS;

CRACKED ROTOR; CRACKED ROTOR SYSTEMS; HARMONIC BALANCE METHOD; NON-LINEAR VIBRATION;

NONLINEAR SYSTEMS;

EID: 34548227762     PISSN: 00207462     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.ijnonlinmec.2007.04.002     Document Type: Article

References (31)

1. Wauer J. Dynamics of cracked rotors: literature survey. Appl. Mech. Rev. 43 (1990) 13-17
2. Dimarogonas A. Vibration of cracked structures: a state of the art review. Eng. Fract. Mech. 55 (1996) 831-857
3. T. Henry, B. Okah, Vibration in cracked shafts in: IMechE Conference on Vibrations in Rotating Machinery, vol. C/162/76, 1976, pp. 15-19.
4. R. Gasch, Dynamic behaviour of a simple rotor with a cross-sectional crack, in: IMechE Conference on Vibrations in Rotating Machinery, vol. C/178/76, 1976, pp. 123-128.
5. Gasch R. A survey of the dynamic behaviour of a simple rotating shaft with a transverse crack. J. Sound Vib. 160 2 (1993) 313-332
6. I. Mayes, W. Davies, The vibrational behaviour of a rotating system containing a transverse crack, in: IMechE Conference on Vibrations in Rotating Machinery, vol. C/168/76, 1976, pp. 53-64.
7. Nelson H., and Nataraj C. The dynamics of a rotor system with a cracked shaft. J. Vib. Acoust. Stress Reliab. Des. 108 (1986) 89-196
8. Wauer J. Modelling and formulation of equations for cracked rotating shafts. Int. J. Solids Struct. 26 8 (1990) 901-914
9. Tsai T., and Wang Y. Vibration analysis and diagnosis of a cracked shaft. J. Sound Vib. 192 3 (1996) 607-620
10. Sekhar A., and Prabhu B. Condition monitoring of cracked rotors through transient response. Mech. Mach. Theory 33 8 (1998) 1167-1175
11. Friswell M., and Penny J. Crack modelling for structural health monitoring. Int. J. Struct. Health Monit. 1 2 (2002) 139-148
12. Darpe A., Chawla A., and Gupta K. Analysis of the response of a cracked jeffcott rotor to axial excitation. J. Sound Vib. 249 3 (2002) 429-445
13. Adewusi S., and Al-Bedoor B. Experimental study on the vibration of an overhung rotor with a propagating transverse crack. Shock Vib. 9 (2002) 91-104
14. Sinou J.-J., and Lees A.W. Influence of cracks in rotating shafts. J. Sound Vib. 285 4-5 (2005) 1015-1037
15. Sinou J.-J., and Lees A.W. A non-linear study of a cracked rotor. Eur. J. Mech. A/Solids 26 1 (2007) 152-170
16. Papadopoulos C., and Dimarogonas A. Stability of cracked rotors in the coupled vibration mode. J. Vib. Acoust. Stress Reliab. Des. 110 (1998) 357-359
17. Jun O., Eun H., and Lee Y.E.C. Modelling and vibration analysis of a simple rotor with a breathing crack. J. Sound Vib. 155 2 (1992) 273-290
18. Huang S., Huang Y., and Shieh S. Vibration and stability of a rotating shaft containing a transverse crack. J. Sound Vib. 162 3 (1993) 387-401
19. Chen L., and Peng W. Dynamic stability of rotating composite shafts under periodic axial compressive loads. J. Sound Vib. 212 2 (1998) 215-230
20. Meng G., and Gasch R. Stability and stability degree of a cracked flexible rotor supported on journal bearings. J. Vib. Acoust. 122 (2000) 116-125
21. Sekhar A., and Dey J. Effects of cracks on rotor system instability. Mech. Mach. Theory 35 (2000) 1657-1674
22. Zhu C., Robb D., and Ewins D. The dynamics of a cracked rotor with an active magnetic bearing. J. Sound Vib. 265 (2003) 469-487
23. C. Chen, L. Dai, Y. Fu, Nonlinear response and dynamic stability of a cracked rotor, Commun. Nonlinear Sci. Numer. Simul. 12 (6)(2006) 876-885.
24. Davies W.G.R., and Mayes I.W. The vibrational behaviour of a multi-shaft, multi-bearing system in the presence of a propagating transverse crack. Trans. ASME J. Vib. Acoust. Stress Reliab. Des. 106 (1984) 146-153
25. Mayes I.W., and Davies W.G.R. Analysis of the response of a multi-rotor-bearing system containing a transverse crack in a rotor. Trans. ASME J. Vib. Acoust. Stress Reliab. Des. 106 (1984) 139-145
26. Nayfeh A., and Balachandran B. Applied Nonlinear Dynamics: Analytical, Computational and Experimental Methods (1995), Wiley, New York
27. He J. Some asymptotic methods for strongly nonlinear equations. Int. J. Mod. Phys. B 20 10 (2006) 1141-1199
28. Sinou J.-J., Thouverez F., and Jézéquel L. Methods to reduce non-linear mechanical systems for instability computation. Arch. Comput. Meth. Eng. State of the Art Rev. 11 3 (2004) 257-344
29. Cameron T.M., and Griffin J.H. An alternating frequency time domain method for calculating the steady state response of nonlinear dynamic systems. ASME J. Appl. Mech. 56 (1989) 149-154
30. Cardona A., Lerusse A., and Geradin M. Fast fourier nonlinear vibration analysis. Comput. Mech. 22 (1998) 128-142
31. Groll G., and Ewins D.J. The harmonic balance method with arc-length continuation in rotor/stator contact problems. J. Sound Vib. 241 2 (2001) 223-233