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Journal of Mechanical Science and Technology

, Volume 28, Issue 5, pp 1653–1662 | Cite as

The coupled vibration in a rotating multi-disk rotor system with grouped blades

  • YiJui ChiuEmail author
  • Chia-Hao Yang
Article

Abstract

The influence on coupling vibrations among shaft-torsion, blade-bending and lacing wire coupling vibrations of a multi-disk rotor system with grouped blades was investigated analytically. The natural frequencies and the mode shapes of the system were solved for one-to four-disk cases as examples. First, numerical results showed how the natural frequencies varied by lacing wires and disks in a multidisk rotor system. The diagrams of the coupling mode shapes were drawn. From the results, the inter-blade (BB) modes, the shaft-blade (SB) modes and the lacing wires-blade (LB) modes change rules were given in this paper. Numerical calculation also revealed three interesting results that the natural frequencies were affected by lacing wire constant, lacing wire location and the disk distance. In the rotation effects, the multi-disk has drawn three important phenomena. The times of instability will due to the number of disk, the more disk rotor causes instability earlier than the less disk case and the lacing wires could not affect the system instability.

Keywords

Multi-disk Coupled vibration Lacing wires 

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References

  1. [1]
    M. A. Prohl, A method for calculating vibration frequency and stress of a banded group of turbine buckets, Tran. ASME, 80(1) (1958) 169–180.Google Scholar
  2. [2]
    A. L. Deak and R. D. Baird, A procedure for calculating the packet frequencies if steam turbine exhaust blades, Tran. ASME, Ser. A, 85 (1963) 324–330.CrossRefGoogle Scholar
  3. [3]
    R. J. Ortolano, J. A. L. Rosa and W. P. Welch, Long arc shrouding-a reliability improvement for untuned steam turbine blading, ASME J. Eng. Power, 103 (1981) 522–531.CrossRefGoogle Scholar
  4. [4]
    W. C. Tsai, T. P. Tsao and C. Chyn, A nonlinear model for the analysis of the turbine-generator vibrations including the design of a flywheel damper, Electrical Power & Energy Systems, 19 (1997) 469–479.CrossRefGoogle Scholar
  5. [5]
    B. O. Al-Bedoor, Dynamic model of coupled shaft torsional and blade bending deformations in rotors, Computer Methods in Applied Mechanics and Engineering, 169 (1999) 177–190.CrossRefzbMATHGoogle Scholar
  6. [6]
    R. Bladh, M. P. Castanier and C. Pierre, Reduced order modeling and vibration analysis of mistuned bladed disk assemblies with shrouds, ASME J. Eng. Gas Turb. Power, 121 (1999) 515–522.CrossRefGoogle Scholar
  7. [7]
    J. H. Kuang and M. H. Hsu, Eigensolutions of grouped turbo blades solved by the generalized differential quadrature method, ASME J. Eng. Gas Turb. Power, 124 (2002) 1011–1017.CrossRefGoogle Scholar
  8. [8]
    G. C. Tsai, Rotating vibration behavior of the turbine blades with different groups of blades, J. Sound Vibr., 271 (2004) 547–75.CrossRefGoogle Scholar
  9. [9]
    O. Turhan and G. Bulut, Linearly coupled shaft-torsional and blade-bending vibrations in multi-stage rotor-blade systems, Journal of Sound and Vibration, 296 (2006) 292–318.CrossRefGoogle Scholar
  10. [10]
    C. Villa, J. J. Sinou and F. Thouverez, Stability and vibration analysis of a complex flexible rotor bearing system, Communications in Nonlinear Science and Numerical Simulation, 13 (2008) 804–821.CrossRefGoogle Scholar
  11. [11]
    R. Sino, T. N. Baranger, E. Chatelet and G. Jacquet, Dynamic analysis of a rotating composite shaft, Composites Science and Technology, 68 (2008) 337–345.CrossRefGoogle Scholar
  12. [12]
    J. J. Sinou and B. Faverjon, The vibration signature of chordal cracks in a rotor system including uncertainties, Journal of Sound and Vibration, 331 (2012) 138–154.CrossRefGoogle Scholar
  13. [13]
    S. M. Kwon and H. H. Yoo, Vibration localization of a mistuned rotating multi-packet blade system undergoing external cyclic harmonic force, Journal of Mechanical Science and Technology, 25(11) (2011), 2769–2774.CrossRefGoogle Scholar
  14. [14]
    I. Lee, S. S. Shin and Y. R. Kim, Mistuned bladed disk forced vibration analysis based on standing wave formulation, Aerospace Science and Technology, 1–8.Google Scholar
  15. [15]
    J. J. Sinou and B. Faverjon, The vibration signature of chordal cracks in a rotor system including uncertainties, Journal of Sound and Vibration, 331 (2012) 138–154.CrossRefGoogle Scholar
  16. [16]
    M. Chouksey, J. K. Dutt and S. V. Modak, Modal analysis of rotor-shaft system under the influence of rotor-shaft material damping and fluid film forces, Mechanism and Machine Theory, 48 (2012) 81–93.CrossRefGoogle Scholar
  17. [17]
    K. B. Yim and B. J. Ryu, Effect of load torque on the stability of overhung rotors, Journal of Mechanical Science and Technology, 25(3) (2011) 589–595.CrossRefGoogle Scholar
  18. [18]
    C. H. Yang and S. C. Huang, Coupling vibration in rotating shaft-disk-blades system, ASME Journal of Vibration and Acoustics, 129 (2007) 48–57.CrossRefGoogle Scholar
  19. [19]
    C. H. Yang and S. C. Huang, The longitudinal motion effects on the coupled vibration in a shaft-disk-blades system. Journal of Chinese Institute Engineers, 28 (2004) 89–99.CrossRefGoogle Scholar
  20. [20]
    C. H. Yang and S. C. Huang, The influence of disk’s flexibility on coupling vibration of shaft-disk-blades systems, Journal of Sound and Vibration, 301 (2007) 1–17.CrossRefGoogle Scholar
  21. [21]
    S. C. Huang, Y. J. Chiu and Y. J. Lu, Damping property and vibration analysis of blades with viscoelastic layers, Journal of System Design and Dynamics, 1 (2007) 340–351.CrossRefGoogle Scholar
  22. [22]
    Y. J. Chiu and S. C. Huang, Shaft-torsion and bladebending coupling vibrations in a rotor system with grouped blades, Journal of System Design and Dynamics, 1 (2007) 748–759.CrossRefGoogle Scholar
  23. [23]
    Y. J. Chiu and D. Z. Chen. The coupled vibration in a rotating multi-disk rotor system, International Journal of Mechanical Sciences, 53(1) (2011) 1–10.CrossRefMathSciNetGoogle Scholar

Copyright information

© The Korean Society of Mechanical Engineers and Springer-Verlag Berlin Heidelberg 2014

Authors and Affiliations

  1. 1.School of Mechanical and Automotive EngineeringXiamen University of TechnologyXiamenChina
  2. 2.State key laboratory for strength and vibration of mechanical structuresXi’anShaanxi Province, China
  3. 3.Department of Mechanical EngineeringTaipei Chengshih University of Science and TechnologyTaipeiTaiwan

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