The effects of certain steam forces and bearing oil-film forces on vibration stability of a turbine-generator rotor are considered. A matrix method for systematically calculating the characteristic equation of a real rotor is developed with the aid of complex notation. The matrices are 4 × 4 in size. Pedestal effects are not included. A simple example is worked out and the results are compared to those obtained by another author. Complete agreement is obtained in the determination of the characteristic equation.

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