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.
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Abbreviations
- 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)
References
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.
Stress Technology Incorporated (1988) Steam turbine off-frequency operation. Report No 711 G 624
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.
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.
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.
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© 1992 Springer-Verlag London Limited
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Driver, R.A., Wilkinson, T.S. (1992). Coupled axial-torsional vibration in turbine generator rotors. In: Goodwin, M.J. (eds) Rotordynamics ’92. Springer, London. https://doi.org/10.1007/978-1-4471-1979-1_5
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DOI: https://doi.org/10.1007/978-1-4471-1979-1_5
Publisher Name: Springer, London
Print ISBN: 978-3-540-19754-6
Online ISBN: 978-1-4471-1979-1
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