Advertisement

Free and Forced Vibrations of Turbine Blades

  • H. Irretier
Part of the International Centre for Mechanical Sciences book series (CISM, volume 297)

Abstract

The free and forced vibrations of turbine blades are considered. First, various models for the description and the calculation of their dynamical behaviour are presented and methods of solution are discussed. Second, results and parametric studies are considered which show the influence of the most important blade parameters on the vibrations.

Keywords

Mode Shape Turbine Blade Steam Turbine Forced Vibration Torsional Vibration 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. 1.
    BLOHM VOSS-Prospekt “Schaufeln für Dampfturbinen”, Blohm VoB, Hamburg, 1976Google Scholar
  2. 2.
    Rao, J.S.: Turbine Blade Excitation and Vibration. Shock and Vibration Digest 9 (1979) 15–23CrossRefGoogle Scholar
  3. 3.
    Rao, J.S.: Turbomachine Blade Vibration. Shock and Vibration Digest 12 (1980) 19–26Google Scholar
  4. 4.
    Böhm, J.: Theoretische und experimentelle Parameterstudien an schwingenden Turbinenschaufeln im Fliehkraftfeld. Fortschr.-Ber. VDI-Zeitschrift 11, 29 (1979) 1–136Google Scholar
  5. 5.
    Montoya, J.G.: Gekoppelte Biege-und Torsionsschwingungen einer stark verwundenen rotierenden Schaufel. BBC Brown Boveri Mitteilungen 53 (1966) 216–230Google Scholar
  6. 6.
    Rao, J.S.; Carnegie, W.: Solution of the Equations of Coupled Bending-Bending-Torsion Vibrations of Turbine Blades by the Method of Ritz-Galerkin. Int. J. of Mech. Sci. 12 (1970) 875–882CrossRefMATHGoogle Scholar
  7. 7.
    Carnegie, W.: Vibrations of Pre-twisted Cantilever Blading. Proc. of the Instn. Mech. Engrs. 173, 12 (1959) 343–374CrossRefGoogle Scholar
  8. 8.
    Carnegie, W.: Vibrations of Pre-twisted Cantilever Blading Allowing for Rotary Inertia and Shear Deflection. J. of Mech. Engng. Sciences 6, 2 (1964) 105–109CrossRefGoogle Scholar
  9. Fu, C.C.: Computer Analysis of a Rotating Axial Turbomachine Blade in Coupled Bending-Bending-Torsion Vibrations. Int. J. Num. Meth. Engng. 8 (1974)Google Scholar
  10. 10.
    Meirovitch, L.: Analytical Methods in Vibrations. Collier-Macmillan Ltd.; London, 1967MATHGoogle Scholar
  11. 11.
    Bishop, R.E.C.; Gladwell, G.M.L.; Michaelson, S.: The Matrix Analysis of Vibration. Cambridge University Press, Cambridge LondonNew YorkMelbourne, 1965MATHGoogle Scholar
  12. 12.
    Hurty, W.C.; Rubinstein, M.F.: Dynamics of Structures. Prentice-Hall Inc., Englewood Cliffs N.J. (USA) 1964Google Scholar
  13. 13.
    Leissa, A.W.: Vibrations of Turbine Engine Blades by Shell Analysis. Shock and Vibration Digest 12, 11 (1980) 3–10CrossRefGoogle Scholar
  14. 14.
    Vogt, H.J.: Zur Berechnung der Eigenfrequenzen und Eigenformen von Schaufeln thermischer Turbomaschinen mit Hilfe eines gekrümmten finiten Schalenelementes. Dissertation, TU Hannover (1974) 1–87Google Scholar
  15. 15.
    Leissa, A.W.; Ewing, M.S.: Comparison of Beam and Shell Theories for the Vibrations of Thin Turbomachinery Blades. ASME Int. Gas Turbine Conf.,London (England), April 1982; ASME Publication 82-GT-223 (1982) 1–12Google Scholar
  16. 16.
    Zienkiewicz, O.C.: The Finite Element Method. McGraw-Hill Book Company Ltd., London (England ), 1977MATHGoogle Scholar
  17. 17.
    Meirovitch, L.: Computational Methods in Structural Dynamics. Sijthoff and Moordhoff, Alphen aan den Rijn (The Netherlands) Rockville MD(USA), 1980Google Scholar
  18. 18.
    Bathe, K.J.; Wilson, E.L.: Numerical Methods in Finite Element Analysis. Prentice-Hall Inc., Englewood Cliffs N.J. (USA), 1976Google Scholar
  19. 19.
    Steele, J.M.; Lam, T.C.T.: Stress and Fatigue Analysis of Steam Turbine Blades with ANSYS. Proc. ANSYS Conf., Pittsburgh PA (USA), April 1983, 4. 48–4. 65Google Scholar
  20. 20.
    Lam, T.C.T.: Computer Simulation of Fatigue Damage. ASME Conf. on Computers in Mech. Eng., Chicago (USA), August 1983Google Scholar
  21. 21.
    Irretier, H.: Die Berechnung der Schwingungen rotierender, beschaufelter Scheiben mittels eines Anfangswertverfahrens. Dissertation, TU Hannover (1978), 1–129Google Scholar
  22. 22.
    Irretier, H.: Turbine Blade Simulation Program TUBSIM. Institut für Mechanik, Universität - Gh Kassel, 1985 (unpublished)Google Scholar
  23. 23.
    Traupel, W.: Thermische Turbomaschinen, Bd. 2. Springer-Verlag BerlinHeidelbergNew York, 1977Google Scholar
  24. 24.
    Timoshenko, S.; Young, D.H.; Weaver, W.: Vibration Problems in Engineering. John Wiley Sons Inc., New York, 1974Google Scholar
  25. 25.
    Vogt, E.: Hybride Schwingungsformanalyse an Turbinenschaufeln. Fortschr.-Ber. VDI-Zeitschrift 11, 59 (1984) 1–118MathSciNetGoogle Scholar
  26. 26.
    Irretier, H.: Computer Simulation of the Run-up of a Turbine Blade Subjected to Partial Admission. ASME Conf. Mech. Vibr. and Noise, Cincinnati OH (USA), Sept. 1985; ASME Publication 85-DET-128 (1985) 1–12Google Scholar
  27. 27.
    Rao,J.S.; Jadvani, H.M.: Free and Forced Vibrations of Turbine Blades. Proc. ASME Conf. Mech. Vibr. and Noise, Dearborn MI (USA), Sept. 1983, 11–24Google Scholar
  28. 28.
    Irretier, H.: Transient Vibrations of Turbine Blades due to Passage through Partial Admission and Nozzle Excitation Resonances. IFToMM Int. Conf. on Rotordynamics, Tokyo (Japan ) Sept. 1987Google Scholar
  29. 29.
    Pan-Report “Institute of Fluid-Flow Machinery”, Polish Academy of Sciences, Gdansk (Polen), 1978Google Scholar
  30. 30.
    Gill, P.A.T.; Ucmaklioglu, M.: Isoparametric Finite Elements for Free Vibration Analysis of Shell Segments and Non- Axisymmetric Shells. Journal of Sound and Vibration 65, 2 (1979) 259–273CrossRefMATHGoogle Scholar
  31. 31.
    Aiello, R.A.; Hirschbein, M.S.; Chamis, C.C.: Structural Dynamics of Shroudless, Hollow, Fan Blades with Composite In-Lays. ASME Publication 82-GT-284, (1982) 1–7Google Scholar

Copyright information

© Springer-Verlag Wien 1988

Authors and Affiliations

  • H. Irretier
    • 1
  1. 1.University of KasselKasselGermany

Personalised recommendations