A Fatigue Analysis of a Hydraulic Francis Turbine Runner


In this work, the estimation of crack initiation life of a hydraulic Francis turbine runner is presented. The life prediction is based on the local strain approach to predict the initiation life. First, the analysis is carried out in air and in water condition and the runner’s natural frequencies were calculated using the finite element (FE) method. The analysis in air is compared with experimental analysis in order to have a representative model of real runner and subsequently the numerical analysis was perform in water. In the case of the runner immersed in water, the added mass effect due to the fluid structure interaction (FSI) is considered. Second, the static and dynamic stresses were calculated according to life estimation. For the calculation of static stresses, the pressure distribution of water and the centrifugal forces were applied to the runner. The dynamic stresses were estimated for interactions between the guide vane and the runner. Lastly, the estimation of the crack initiation life of the runner was obtained.

Share and Cite:

M. Flores, G. Urquiza and J. Rodríguez, "A Fatigue Analysis of a Hydraulic Francis Turbine Runner," World Journal of Mechanics, Vol. 2 No. 1, 2012, pp. 28-34. doi: 10.4236/wjm.2012.21004.

Conflicts of Interest

The authors declare no conflicts of interest.


[1] R. Xiao, et al., “Study on Dynamic Analysis of the Francis Turbine Runner,” Large Electric Machine and Hydraulic Turbine, Vol. 7, 2001, pp. 41-43.
[2] S. Rao, P. K. Nimbekar, R. Misra and A. K. Singh, “Application of Local Stress-Strain Approach to Predict Fracture Initiation of a Francis Turbine Runner Blade,” 7th International Symposium on Transport Phenomena and Dynamics of Rotating Machinery, Hawaii, 22-26 February 1998, pp. 22-26.
[3] S. Rao, “Turbine Blade Life Estimation,” Alpha Science International Ltd., Pangbourne, 2000.
[4] H. Tanaka, “Vibration Behavior and Dynamic Stress of Runners of Very High Head Reversible Pump-Turbine,” 15th International Association of Hydraulic Engineering & Research, Symposium on Hydraulic Machinery and Systems, Belgrade, 1990, pp. 289-306.
[5] L. E. Kinsler, et al., “Fundamentals of Acoustics,” John Wiley and Sons, New York, 1982.
[6] O. C. Zienkiewicz, and R. E. Newton, “Coupled Vibrations of a Structure Submerged in a Compressible Fluid,” Symposium on Finite Element Techniques, Stuttgart, 1-15 May 1969, pp. 360-378.
[7] J. F. Martin, T. H. Topper and G. M. Sinclair, “Computer Based Simulation of Cyclic Stress Strain Behavior,” T. &A. M. Report No. 326, University of Illinois, Urbana, 1969.
[8] H. Neuber, “Theory of Stress Concentration for Shear- Strained Prismatical Bodies with Arbitrary Nonlinear Stress-Strain Law,” Journal of Applied Mechanics, Vol. 28, No. 4, 1961, pp. 544-550. doi:10.1115/1.3641780
[9] A. Coutu, H. Aunemo, B. Badding and O. Velagandula, “Dynamic Behavior of High Head Francis Turbine,” Hydro 2005, Villach, 17-20 October 2005.
[10] C. Monette, A. Coutu and O. Velagandula, “Francis Runner Natural Frequency and Mode Shape Predictions,” Waterpower XV, Chattanooga, 23-26 July 2007.
[11] C. G. Rodríguez, E. Egusquiza, X. Escaler, M. Farhat, Q. W. Liang and F. Avellan, “Experimental Investigation of Added Mass Effect on a Francis Turbine Runner,” Journal of Fluids and Structures, Vol. 22, No. 5, 2006, pp. 699-712. doi:10.1016/j.jfluidstructs.2006.04.001
[12] M. Flores, “Fluid-Structure Interaction Study of a Hydraulic Francis Turbine Runner,” Ph.D. Dissertation, University Autonomous of Morelos State, Mexico, 2009.
[13] Q. W. Liang, C. G. Rodríguez, E. Egusquiza, X. Escaler and F. Avellan, “Modal Response of Hydraulic Turbine Runners,” 23th International Association of Hydraulic Engineering & Research, Symposium on Hydraulic Machinery and Systems, Yokohama, October 2006.
[14] ASM International, “Mechanical Testing and Evaluation,” ASM Handbook, Vol. 8, 2000.
[15] D. F. Socie, M. R. Mitchell and E. M. Caulfield, “Fundamentals of Modern Fatigue Analysis,” Fracture Control Program Report No. 26, University of Illinois, Urbana, 1977.

Copyright © 2023 by authors and Scientific Research Publishing Inc.

Creative Commons License

This work and the related PDF file are licensed under a Creative Commons Attribution 4.0 International License.