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Coupled axial-torsional vibration in turbine generator rotors

  • R. A. Driver
  • T. S. Wilkinson
Conference paper

Abstract

Vibration of long turbine blades may provide a coupling mechanism between the axial and torsional modes of vibration of bladed rotors. A mathematical model is presented, together with results for a large Canadian turbine generator.

Keywords

Mode Shape Transfer Matrix Rotor System Bladed Rotor 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.

Notation

ω

Angular frequency of vibration (rad/s)

k

Stiffness of thrust bearing (N/m)

λ

Damping coefficient of thrust bearing (Ns/m)

γ

Axial displacement of rotor (m)

p

Axial force in rotor (N)

θ

Torsional displacement of rotor (rad)

t

Torque in rotor (Nm)

L

Length of rotor section (m)

Ms

Mass per unit length of rotor section (kg/m)

As

Axial force per unit axial strain of rotor section (N)

Is

Moment of inertia per unit length of rotor section (kgm)

Ts

Torque per unit torsional strain of rotor section (Nm2)

Mb

Mass of blade (kg)

Nb

Number of blades in blade row

ZM

Distance from shaft axis of centre of mass of blade (m)

Zr

Distance from rotor axis of blade root (m)

Ωi

Angular frequency of blade eigenmode i (rad/s)

Φi

Angle to rotor axis of motion of blade c. of m. in eigenmode i (rad)

Ki

Ratio of axial root b.m. to tangential root s.f. in eigenmode i (m)

T

Forcing torque acting on generator rotor (Nm)

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References

  1. (1).
    Okabe A, Otawara Y, Kaneko R, Matsushita O and Namura K (1991) An equivalent reduced modelling method and its application to shaft-blade coupled torsional vibration analysis of turbine-generator set. IMechE Journal of Power and Energy 1991 Vol 205 No A3 pp 173–181.CrossRefGoogle Scholar
  2. (2).
    Stress Technology Incorporated (1988) Steam turbine off-frequency operation. Report No 711 G 624Google Scholar
  3. (3).
    Driver RA (1991) Analysis of axial and axial-torsional shaft resonance, with results for Bruce, Drax and Pickering shafts. NEI Parsons report No RDL 91–73.Google Scholar
  4. (4).
    Montoya J (1966) Coupled bending and torsional vibrations in a twisted rotating blade. The Brown Boveri Review Vol 53 No 3 March 1966 pp 216–230.Google Scholar
  5. (5).
    Evans TP (1991) Stiffness and damping of thrust bearings. A masters project report submitted in partial fulfilment of the requirements for the award of the degree of MSc in Computer Integrated Engineering of the Loughborough University of Technology, September 1991.Google Scholar

Copyright information

© Springer-Verlag London Limited 1992

Authors and Affiliations

  • R. A. Driver
    • 1
  • T. S. Wilkinson
    • 1
  1. 1.NEI Parsons, Heaton WorksNewcastle-upon-TyneUK

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