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International journal of fluid machinery and systems v.2 no.4, 2009년, pp.303 - 314   피인용횟수: 1

Dynamic Analysis of Francis Runners - Experiment and Numerical Simulation

Lais, Stefan    (ANDRITZ HYDRO Ltd.   ); Liang, Quanwei    (ANDRITZ HYDRO Ltd.   ); Henggeler, Urs    (ANDRITZ HYDRO Ltd.   ); Weiss, Thomas    (ANDRITZ HYDRO Ltd.   ); Escaler, Xavier    (Technical University of Catalonia (CDIF-UPC)   ); Egusquiza, Eduard    (Technical University of Catalonia (CDIF-UPC)  );
  • 초록

    The present paper shows the results of numerical and experimental modal analyses of Francis runners, which were executed in air and in still water. In its first part this paper is focused on the numerical prediction of the model parameters by means of FEM and the validation of the FEM method. Influences of different geometries on modal parameters and frequency reduction ratio (FRR), which is the ratio of the natural frequencies in water and the corresponding natural frequencies in air, are investigated for two different runners, one prototype and one model runner. The results of the analyses indicate very good agreement between experiment and simulation. Particularly the frequency reduction ratios derived from simulation are found to agree very well with the values derived from experiment. In order to identify sensitivity of the structural properties several parameters such as material properties, different model scale and different hub geometries are numerically investigated. In its second part, a harmonic response analysis is shown for a Francis runner by applying the time dependent pressure distribution resulting from an unsteady CFD simulation to the mechanical structure. Thus, the data gained by modern CFD simulation are being fully utilized for the structural design based on life time analysis. With this new approach a more precise prediction of turbine loading and its effect on turbine life cycle is possible allowing better turbine designs to be developed.


  • 주제어

    Modal analysis .   fluid structure interaction .   rotor-stator interaction .   harmonic response analysis .   instationary CFD.  

  • 참고문헌 (8)

    1. ANSYS Version 11 Documentation. 
    2. X. Escaler, Q. Liang, C. Valero, E. Egusquiza, St. Lais, M. Sick, “Th. Weiss: Experimental Modal Analysis of a Francis Model Runner,” Proceedings of the 24th IAHR Symposium on Hydraulic Machinery and Systems, October 27-31 2008, Foz do Iguassu, Brazil. 
    3. M. Dubas, “On the excitations due to the periodic structure of turbomachines,” Ingenieur-Archiv (Ing.-Arch.), vol. 54, 1984,pp. 413-426. 
    4. M. Sick, St. Lais, W. Michler, P. Stein, “Th. Weiss: Numerical prediction of flow induced dynamic load in water turbines: recent developments and results,” Proceedings of HYDRO 2007, Granada, Spain, October 2007. 
    5. M. Keller, M. Sallaberger, “Modern hydraulic design of pump turbines,” Proceedings of the International Seminar on Hydropower Plants, Vienna, Austria, November 22 - 24, 2006. 
    6. CFX10 Theory Documentation, ANSYS, Harwell, U.K., 2005. 
    7. Q.W. Liang, E. Egusquiza, X. Escaler, F. Avellan, “Modal Analysis on a Francis Turbine Runner Considering the Fluid Added Mass Effect,” Proceedings of the IAHR Int. Meeting of WG on Cavitation and Dynamic Problems in Hydraulic Machinery and Systems, Barcelona, 28-30 June 2006. 
    8. E: Naudascher, D. Rockwell, “Flow-induced vibration. An engineering guide,” Dover Publication Inc.,2005 
  • 이 논문을 인용한 문헌 (1)

    1. 2014. "" International journal of fluid machinery and systems, 7(3): 101~109     

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