Time-Frequency Modeling and Analysis of Faulty Rotor

In this paper, de Laval rotor system has been characterized by a hinge model and its transient response numerically treated for a dynamic solution. The effect of the ensuing non-linear disturbances namely rub and breathing crack is numerically simulated. Subsequently, three analysis methods: Orbit Analysis, Fast Fourier Transform (FFT), and Wavelet Transform (WT) are employed to extract features of the vibration signal of the faulty system. An analysis of the system response orbits clearly indicates the perturbations due to the rotor-to-stator contact. The sensitivities of WT to the variation in system speed have been investigated by Continuous Wavelet Transform (CWT). The analysis reveals that features of crack, rubs and unbalance in vibration response can be useful for condition monitoring. WT reveals its ability to detect nonlinear signal, and obtained results provide a useful tool method for detecting machinery faults.




References:
[1] A. S. Sekhar, Crack identification in a rotor system: a model- based
approach. Journal of sound and vibration 270, 2004, 887-920.
[2] R. Gasch, IMechE Conference Publication c178/76, 1976, 123-128.
Dynamic behavior of a simple rotor with cross-sectional crack.
[3] A. D. Dimaragonas and C. A. Papadopoulos, Journal of Sound and
Vibration 91, 1983, 583-593. Vibration of cracked shafts in bending.
[4] C. A. Papadopoulos and A. D. Dimaragonas, Journal of Sound and
Vibration 117, 1987, 81-93. Coupled longitudinal and bending
vibrations of a rotating shaft with an open crack.
[5] M.I. Friswellc, J.K. Sinhaa, A.W. Leesb, Journal of Sound and Vibration
272 (2004) 967–989. Estimating unbalance and misalignment of a
flexible rotating machine from a single run-down.
[6] A. S. Sekhar, and B. S. Prabhu, Condition monitoring of cracked rotor
through transient response, 1998 Mech. Mach. Theory 33, 1167-1175.
[7] B.X. Tchomeni, A.A. Alugongo, L.M. Masu, In situ Modelling of
Lateral-Torsional Vibration of a Rotor-Stator with Multiple Parametric
Excitations. World Academy of Science, Engineering and Technology
International Journal of Mechanical, Aerospace, Industrial and
Mechatronics Engineering Vol: 8 No: 11, 2014.
[8] B. O. Al-bedoor, Transient torsional and lateral vibrations of unbalanced
rotors with rotor-to-stator rubbing. Journal of Sound and vibration
229(3), 2000, 627-645.
[9] R. Sukkar, and A.S. Yigit, Analysis of fully coupled torsional and lateral
vibrations of unbalanced rotors subject to axial loads. Kuwait
J.Sci.Eng.35 (2B), 2008, pp. 143-170.
[10] J.-J. Sinou, “An experimental investigation of condition monitoring for
notched rotors through transient signals and wavelet transform” 2009.
[11] S. Prabhakar, A. S. Sekhar and A. R. Mohanty, Mechanical Systems and
Signal Processing 15, 2001, 447-450. Detection and monitoring of
cracks in a rotor-bearing system using wavelet transforms.
[12] A. A. Alugongo, A dual Time-Frequency-Feature investigation and
diagnostics of a cracked de-Laval rotor. IEEE AFRICON 2009.
[13] I. Daubechies, “Orthonormal bases of compactly supported wavelets,”
Communication on Pure and Applied Mathematics, vol. 41, pp. 909-996,
1988.
[14] S. Mallat, A wavelet Tour of Signal Processing, Academic Press, San
Diego 1998.