Numerical modelling of a high-speed rigid rotor in a single-aerostatic bearing using modified Euler equations of motion

Abstract

Accurate rotordynamic analysis is critical in the achievement of efficient rotary machine design, however the majority of models concern flexible shafts with concentrated supports. The modified Euler equations of motion are used in a numerical model to calculate the natural frequencies and whirl amplitudes of a rigid rotor supported by a single-aerostatic bearing. The bearing is modelled with a non-constant stiffness distribution along its length and a non-symmetric centre of gravity. The results are compared with experimental modal analysis (EMA).