Behavior Fatigue Life of Wind Turbine Rotor with Longitudinal Crack Growth

This study concerned the dynamic behavior of the
wind turbine rotor. Before all we have studied the loads applied to the
rotor, which allows the knowledge their effect on the fatigue, also
studied the rotor with longitudinal crack in order to determine stress,
strain and displacement. Firstly we compared the first six modes
shapes between cracking and uncracking of HAWT rotor. Secondly
we show show evolution of first six natural frequencies with
longitudinal crack propagation. Finally we conclude that the residual
change in the natural frequencies can be used as in shaft crack
diagnosis predictive maintenance.





References:
[1] Nelson, H.D. Nataraj C. The dynamics of a rotor system with a cracked shaft, Journal of Vibration, Acoustics, Stress, and Reliability in Design, 108, pp189–196, 1986.
[2] Meng, G., Garsh W. Stability and stability degree of a cracked flexible rotor supported on journal bearing, Journal of Vibration and Acoustics, 122, pp 116–125, 2000.
[3] Jun O.S.; Eun H.J. Modeling and vibration analysis of a simple rotor with a breathing crack, Journal of Sound and Vibration, 155, pp273–290, 1992.
[4] Darpe, A.K., Chawla, A., Gupta, K. Analysis of the response of a cracked Jeffcott rotor to axial excitation, Journal of Sound and Vibration., vol.249, 3, pp 429-445, 2002.
[5] Murtagh, P.J., Ghosh, A., Basu, B.; Broderick, B.M. Passive control of wind turbine vibrations including blade/tower interaction and rotationally sampled turbulence. 2008, vol. 11, issue 4, pp 305-317. (Wind Energy)
[6] Hansen, M.H., Thomsen, K., Fuglsang, P., Knudsen, T., Two methods for estimating aero-elastic damping of operational wind turbine modes from experiments. Wind Energy, , pp 91-179, 2006.
[7] Molinas, M.; Suul, J.A.; Undeland, T. Extending the life of gear box in wind generators by smoothing transient torque with STATCOM. IEEE, Trans. Ind. Electron, vol. 57, no. 2, pp 476–484, 2010.
[8] Z. X. Xing, Q. L. Zheng, X. J. Yao, and Y. J. Jing, Integration of large doubly-fed wind power generator system into grid, 8th Int. Conf. Electrical Machines and Systems, pp.1000-1004, 2005.
[9] H. H. JEFFCOTT 1919 Phil Mag., Series 6, 37, 304. The Lateral Vibration of Loaded shafts in the Neighborhood of a Whirling Speed The Effect of Want of Balance.
[10] Tondi A. Some problems of rotor dynamics, London, Chapman and Hall, 1965, 433 p.
[11] Lalanne M., Ferraris G. Rotordynamics prediction in engineering, 2nd Edition, Chichester, John Wiley, 254 p, 1998.
[12] Horkildsen. T., Solution of a Distrbuted Mass and Unbalanced Rotor System Using a consistent Mass Matrix. MSE Engineering Report, Arizona University, 1972.
[13] Samali B., Kim K. B., Yang J. N. Random vibration of rotating machines under earthquake excitations, Journal of Engineering Mechanics, June 1986,Vol. 112, n° 6, pp. 550-565.
[14] Suarez L. E., Rohanimanesh M. S., Singh M. P. Seismic response of rotating machines, Earthquake Engineering and Structural Dynamics, 21, pp. 2 1-36, 1992.
[15] Singh M. P., Chang T. S., Suarez L. E. A response spectrum method for seismic design evaluation of rotating machines, ASME, 114, pp. 454-460, 1992.
[16] Childs D., Turbomachinery rotordynamics, Wiley and Sons, 1992.
[17] Rao J.S., Rotor Dynamics, 2nd Edition, John Wiley, 1991.
[18] Zheng X.J., Glinka G., and Dubey R.N., Stress intensity factors and weight functions for a corner crack in a finite thickness plate, Engineering Fracture Mechanics, vol. 54, 1 , pp. 49–61, 1996.