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Effect of rotational speed fluctuations on the dynamic behaviour of rolling element bearings with radial clearances

机译:转速波动对带有径向游隙的滚动轴承动态性能的影响

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摘要

The behaviour of rolling element bearings is of major importance to the vast majority of rotating machines. Due to the varying assembly compliance and the internal clearance existing in the bearing in most cases, a highly non-linear behaviour of the rotor bearing system appears. Thus, a dynamic model of a horizontal rotor supported on ball bearings with radial internal clearance is considered, taking into account contact forces between the balls and the races, as well as the effect of varying compliance and of the internal radial clearance. However, since rotational speed fluctuations of various levels practically appear in all rotating equipment, their effect is now additionally considered. Their effect is examined in two characteristic rotor bearing cases. The analysis includes all the characteristic states of the dynamic behaviour of the rotor, such as periodic, unstable periodic and chaotic responses, using methods like frequency spectra, phase spaces, higher-order Poincare maps and Lyapunov exponents. All results presented show a dominant stabilization effect of the speed fluctuations with respect to the system behaviour. From the analysis performed, it is concluded that even a minimum fluctuation of the rotor speed may result in major changes of the system dynamics, indicating that speed fluctuations of the rotor are a governing parameter for the dynamic behaviour of the system.
机译:滚动轴承的性能对于绝大多数旋转机械至关重要。在大多数情况下,由于装配柔韧性的变化和轴承中存在的内部游隙,因此转子轴承系统出现了高度非线性的行为。因此,考虑到滚珠轴承上带有径向内部游隙的水平转子的动力学模型,其中要考虑到滚珠和座圈之间的接触力,以及变化的柔度和内部径向游隙的影响。但是,由于实际上在所有旋转设备中都会出现各种程度的转速波动,因此现在还要考虑其作用。在两种典型的转子轴承箱中检查了它们的作用。使用频谱,相空间,高阶Poincare映射和Lyapunov指数等方法,分析包括转子动态行为的所有特征状态,例如周期性,不稳定的周期性和混沌响应。给出的所有结果均表明了速度波动对系统性能的显着稳定作用。从进行的分析可以得出结论,即使转子速度的最小波动也可能导致系统动力学的重大变化,这表明转子的速度波动是系统动态行为的控制参数。

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