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Publication Title | Rotordynamic behaviour of a micro-turbine rotor on air bearings: modelling techniques and experimental verifi- cation

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Rotordynamic behaviour of a micro-turbine rotor on air bearings: modelling techniques and experimental verifi- cation

T. Waumans, P. Vleugels, J. Peirs, F. Al-Bender, D. Reynaerts

Katholieke Universiteit Leuven,

Department of Mechanical Engineering, Celestijnenlaan 300 B, B-3001, Heverlee, Belgium e-mail: tobias.waumans@mech.kuleuven.be

Abstract

Current trends in micro-turbomachinery stress the need for adequate rotordynamic models. These models should allow accurate prediction of critical speeds, imbalance response and stable operation range of micro- turbomachinery rotor-bearing systems. This paper gives an overview of the total rotordynamic modelling process of a micro-turbine rotor supported on aerostatic bearings. A both accurate and efficient modelling technique is outlined to obtain static and dynamic air bearing properties. These bearing coefficients serve as input for a rotordynamic model yielding damped natural frequencies, unbalance response and stability limits. Experimental verification confirms a good agreement with the predicted critical speeds.

Nomenclature







annular curtain area at gap entrance [m ]

journal bearing nominal radial clearance [ m] bearing damping coefficient [N s/ m or Nm s/rad] entrance flow coefficient of discharge

external force acting on rotor [N]

thrust bearing nominal clearance [ m]

normalised film height

rotor transverse moment of inertia [gmm ]

rotor polar moment of inertia [gmm ]

bearing stiffness coefficient [N/ m or Nm/rad] journal bearing length [mm]

distance between journal bearing centres [mm] distance between measurement planes [mm]

total rotor length [mm]

rotor mass [g]

mass flow [g/s]

gap entrance flow [g/s]

atmospherical pressure [Pa]

gap entrance pressure [Pa]

supply pressure [Pa]

181

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rotordynamic-behaviour-micro-turbine-rotor-air-bearings-modelling-techniques-and-experimental-verifi--cation
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