The bearing parameters, which dominate the dynamic behavior of the rotary machine, should be optimized so that the machine can successfully pass through the critical speed and stably run at the operating speed. However, the parametric optimization usually needs complicated numerical calculation and a great deal of experimentation, especially for the high-speed vertical machine studied here, the dynamic behavior of which is even more sensitive to the parameters. Whereas, the new-style rotor is of similar structure with the old-style rotor. The difference between the two types of rotors is that the new-style rotor’s length and diameter are 1.3 times of the old-style rotor. So it is feasible that the parametric optimization of new-style bearings is carried out by the similarity principle. The similarity principle is that the ratio between the new-style rotor’s whirl energy with the old-style rotor’s equals the ratio between the new-style rotor’s dissipation energy imposed by the bottom bearing with the old-style rotor’s when they run at the operating speed. The parametric optimization involved in this paper only needs simple numerical operation and a little experimentation and makes the new-style bearing parameters design much faster and cheaper than the old-style.

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