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Analysis of Dynamic Characteristics of Cracked Rotor System Supported by Rolling Bearings
2021, 41(6):
56-62.
Considering the breathing crack and the nonlinear Hertz contact force, a rotor system with lateral crack supported by rolling bearings is established according to the Lagrange equation. The fourth-order Runge-Kutta method is used to study the nonlinear dynamic behaviors of the system with crack-rubbing coupling faults, and the effects of the rotating speed, the crack depth, the crack angle and the stator stiffness on the system response are analyzed. The results show that the system exhibits rich nonlinear dynamic behaviors such as the multi-period, the quasi-period and the chaos; when the depth of the crack increases, the quasi-periodic motion in the supercritical speed range becomes alternately the multi-periodic and quasi-periodic motion; the change of the crack angle causes a significant difference in the bifurcation characteristics of the system, which can be used as an important basis for assisting in determining the approximate location of the crack; increasing the stator stiffness will result in the presence of concomitant components near the supercritical speed range frequency-division.
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