In this paper, the dynamic model of rotor-bearing-gear-cavity system has been established. The dynamic model of bearing has been established by using Hertz contact theory. And the rotating shaft is regarded as the elastic Euler beam. And the rotation response is approximated by the low order modal superposition. The modal truncation method is used to list the differential equation of motion of shaft. The calculation results of the Jeffcott rotor model are compared with the methods described in this paper to verify the accuracy of the new model. The influence of modal intercepting order on the calculation results is analyzed. The appropriate modal intercept order is selected. The influence of the bearing clearance on the shaft response is analyzed by making the waterfall of the rotor response under different bearing clearance. Which provides the theoretical basis for bearing selection and structural improvement.
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