Nonlinear Stability of Balanced Rotor Due to the Effect of Ball Bearing Internal Clearance
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摘要: 研究滚动轴承平衡转子系统在不同轴承内间隙量,不同转速下系统的稳定性及其分岔特性和混沌．考虑Hertz接触力、 滚动体通过振动和轴承径向内间隙等非线性因素建立数学模型，根据Floquet理论分析不同间隙量下滚动轴承转子系统的周期解稳定性， 找到了3种导致周期解失稳的方式：倍周期分岔失稳、拟周期分岔失稳和边界激变导致混沌失稳．通过对各间隙量下转子系统拓扑特性变化和失稳区域的研究，表明滚动轴承间隙量是影响转子系统动力稳定性的一个重要因素．Abstract: Stability and dynamic characteristics of a ball bearing-rotor system are investigated under the effect of the clearance in the ball bearing. Different clearance values were assumed to calculate the nonlinear stability of periodic solution with the aid of the Floquet theory. Bifurcation and chaos behavior were analyzed with variation of the clearance and rotational speed. It is found that there are three routes to unstable periodic solution. The period-doubling bifurcation and the secondary Hopf bifurcation are two usual routes to instability. The third route is the boundary crisis, a chaotic attractor occurs suddenly as the speed passes through its critical value. At last, the instable ranges for different internal clearance values were described. It is useful to investigate the stability property of ball bearing-rotor system.
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Key words:
- ball bearing /
- clearance /
- rotor /
- stability /
- bifurcation /
- chaos
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