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Transient response of a rotor supported by long fluid film bearings of non-circular cross section on unbalance excitation

Zapomel J.

Zeszyty Naukowe Katedry Mechaniki Stosowanej / Politechnika Śląska

2002

nr 18

469-472

Properties of fluid film bearings are significantly influenced by the shape of the cross section of the hole in the bearing shell. Components of the hydraulically forces depend on the pressure function which results from solving a Reynolds' equation. For this purpose a new approach applicable in the case of long non-circular bearings has been developed. The pressure function is expressed in the form a Fourier series and the Fourier coefficients are calculated by means of a trigonometric collocation method. In cavitated areas it is assumed that pressure of the medium remains approximately constant. Even if the equation of motion describing lateral vibration of a rotor system with fluid film bearings is non-linear, for its solution a NewMark method can be used. Hydraulically forces at time t+t are calculated by means of their expansion into a Taylor series in the neighbourhood of time t.