Relation between correction masses and bearing forces in a rigid rotor

Bearing forces on a rigid rotor are mainly characterized by unbalance distribution. The forces can be divided into two arbitrary planes along a rotor shaft since any unbalance in the rigid rotor is able to be expressed on two planes. The correction mass quantities on two arbitrary planes are analytically found in terms of the bearing force measurements from the basic concept of three-dimensional rigid body dynamics. The quantities are expressed in terms of the geometry of rotor — the distance between two bearings and the positions of two planes from the bearings — and the bearing forces: amplitudes of the alternating component of forces and angular positions of their peak values. The validity of the proposed method is proved using a simulation example.