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Natural Frequencies of Several Bladed Discs on the Shaft

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Abstrakty
EN
The effect of multistage coupling on the dynamics of a rotor consisting of eight bladed discs on a solid shaft is considered. Free vibrations are examined using finite element representations of rotating single blades, bladed discs, and the complete rotor. In this study, the global rotating mode shapes of flexible tuned bladed discs-shaft assemblies are calculated. Rotational effects, such as centrifugal stiffening are accounted for, and all the possible couplings between the flexible parts are allowed. The gyroscopic effects are included. The calculated natural frequencies obtained from the blade, the shaft, the bladed disc, and the complete shaft with discs are carefully examined to discover resonance conditions and the coupling effects. It was found that the flexible modes of the tuned bladed discs affected by shaft motion are those with zero, one and two nodal diameters. In these modes the shaft deflection is clearly visible. The findings of this paper suggest that multistage analysis may be required for proper calculations of free vibration of bladed discs.
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Twórcy
  • Department of Dynamics of Machines, Institute of Fluid Flow Machinery, Poland Academy of Sciences, Gdansk
  • Department of Dynamics of Machines, Institute of Fluid Flow Machinery, Poland Academy of Sciences, Gdansk
Bibliografia
  • 1. Al-Bedoor B.O., 2001. ”Reduced-Order Nonlinear Dynamic Model of Coupled Shaft-Torsional and Blade-Bending Vibrations in Rotors”, Journal of Engineering for Gas Turbines and Power, 123, pp. 82-88
  • 2. Berger H., Kulig T.S., 1981. “Simulation models for calculating the torsional vibrations of large turbine-generator units after electrical system faults”, Simens Forsch.-u.Entwickl.- Ber. Bd 10 Nr. 4, pp.237-245
  • 3. Bladh R., Castanier M., Pierre C., 2003. “Effects of Multistage Coupling and Disc Flexibility on Mistuned Bladed Disk Dynamics”, Journal of Engineering for Gas Turbines and Power, 125, pp.121-130
  • 4. Chivens D.R., Nelson H.D., 1975. “The natural frequency and critical speed of rotating flexible Shaft-Disk System”, Journal of Engineering for Industry, pp.881-886.
  • 5. Chung S.B., and Lee C.W., 1996. “Vibration Analysis of Shaft-Bladed Disk System by Using Substracture Synthesis and Assumed Modes Method”, Journal of Sound and Vibration, 189(5), pp.587-607
  • 6. Dopkin J.A., Shoup T.E., 1974. “Rotor Resonant Speed Reduction Caused by Flexibility of Disks”, Journal of Engineering for Industry, 96, pp.1328-1333
  • 7. Dubigeon S., Michon J.C., 1986. “Modes for deformable periodic cyclic symmetric system driven in uniform rotation by a flexible shaft”, Journal of Sound and Vibration, 106(1), pp.53-70
  • 8. Flower G.T., Ryan S.G., 1993. “Development of Set of Equations for Incorporating Disk Flexibility Effects in Rotordynamics Analyses”, Journal of Engineering for Gas Turbines and Power, Vol. 115, pp.227-233
  • 9. Hsieh S.H., Abel J.F., 1985. “Comparison of two finite element approaches for analysis of rotating bladed-disk assemblies”, Journal of Sound and Vibration 182 (1), pp.91-107
  • 10. Huang S.C., Ho K.B., 1996. ”Coupled Shaft-Torsion and Blade-Bending Vibrations of a Rotating Shaft-Disk-Blade Unit”, Transaction of the ASME, Vol. 118, pp.100-106
  • 11. Jacquet-Richardet G., Ferraris G., Rieutord P., 1996. “Frequencies and modes of rotating flexible bladed disc-shaft assemblies: a global cyclic symmetry approach”, Journal of Sound and Vibration, 191(5), pp. 901-915
  • 12. Kanki H., Yammamoto Y., 1989. “Experimental verification of blades-disc-rotor coupled torsional vibration for large turbine”, Proc. of 12th Biennial ASME Conference on Mechanical Vibration and Noise, Montreal, Canada, Rotating Machinery Dynamics, DE-Vol.18-1, pp. 17-21
  • 13. Khader N., Masoud S., 1991. “Vibration of mistuned bladed disks supported by flexible continuous shafts”, Journal of Sound and Vibration, 149(3), pp. 471-488
  • 14. Loewy R.G. and Khader N., 1984. “Structural Dynamics of rotating bladed disk assemblies coupled with flexible shaft motions”, American Institute of Aeronautic and Astronautics Journal, 22, pp.1319-1327
  • 15. Okabe A., Kaneeko R., Matsushita O., Namura K., and Yoshida T., 1989. ”Coupled vibration analysis: torsional vibration of turbine-generator-blade coupled system”, Proc. of 12th Biennial ASME Conference on "Mechanical Vibration and Noise, Montreal, Canada, Rotating Machinery Dynamics, DE-Vol.18-1, pp.135-140
  • 16. Rao J. S., “Rotor Dynamics, 2nd Edition John Wiley & Sons, 1991, 3rd Edition New Age International”, 1996.
  • 17. Rządkowski R., 1998. “Dynamics of Rotor Steam Turbine Rotor Blading, Part Two, Bladed Discs”, Maszyny Przepływowe Tom 22, Wrocław Ossolineum
  • 18. Shahab A.A.S., Thomas J., 1987. “Coupling effects of disc flexibility on the dynamics behaviour of multi disc-shaft system”, Journal of Sound and Vibration, 114(3), pp.435-452
Typ dokumentu
Bibliografia
Identyfikator YADDA
bwmeta1.element.baztech-article-LOD5-0007-0016
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