The least-squares method which uses influence coefficients was applied to simultaneous balancing of a multibearing rotating shaft system, and an experiment was conducted to demonstrate its effectiveness. The rotor system used in the experiment was a 10-bearing, 5-span rotor system. Vibrations were detected simultaneously in horizontal and vertical directions. Using these data, correction weights were calculated with a computer program based on the above least-squares method. Balancing accuracy was considered with regard to two cases, horizontal and vertical vibrations. The balancing experiments were conducted for the cases where unbalance is distributed in one and in all rotors of the multispan rotor system. In both cases, good balance was achieved in one run.

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