无润滑电磁轴承保护轴承跌落过程摩擦发热分析

Analysis for Friction Heating Power of Non-lubricated Auxiliary Bearing of Electromagnetic Bearing during Rotor Drop

  • 摘要: 为在设计阶段预测电磁轴承保护轴承的寿命,计算跌落过程中保护轴承的发热功率非常重要。很多场合下保护轴承无润滑或只有固体润滑,因此选择局部法,重点分析球与滚道之间的滚动弹性滞后、球自旋、差动滑动等机制引起的发热,推导了差动滑动发热功率解析公式。开展实际电磁轴承高速电机无制动自由跌落实验,实测轴心轨迹和保护轴承冲击力,利用实验数据计算了保护轴承发热功率,并与实测转子动能变化率对比。研究发现,在确定了保护轴承安装预紧力情况下,局部法计算的保护轴承发热功率与转子动能变化率在量级上相当,证明了理论计算可行性;球自旋发热最多,其次是球与滚道差动滑动发热,两者之和占总发热的主要部分,球与滚道弹性滞后发热较少。

     

    Abstract: In order to predict the life of the auxiliary bearing in the design stage, it is crucial to calculate the friction heating power of the auxiliary bearing during the rotor drop process. In many cases, the auxiliary bearing has no lubrication or only solid lubrication. Therefore, the local method was chosen to calculate the friction power, focusing on analyzing the rolling elastic hysteresis power between the ball and raceway, the spin power of the ball and the differential sliding power between the ball and raceway. The calculation formulas of these powers were provided in this paper, along with the derivation of an analytical formula for the differential sliding power, which facilitates practical applications. These formulas are based on the quasi-static analysis and the raceway control theory. When the rotation speed of the inner ring of the auxiliary bearing, the radial force acting on the auxiliary bearing and the axial preloading force are all known, the friction heating power of the auxiliary bearing can be calculated by these formulas. The free drop experiment of an electromagnetic bearing high-speed motor without braking was carried out to test the calculation, under 3 000, 5 400, and 6 600 r/min. The rotor axis trajectory and the horizontal and vertical impact force acting on the auxiliary bearing were measured. The rotation speed of the inner ring of the auxiliary bearing was assumed to be the same as the speed of the rotor, calculated by the rotor axis trajectory. The radial force acting on the auxiliary bearing was calculated based on the horizontal and vertical impact force. The axial preloading force, which is about 410 N in this paper, was determined by the experimental data under 3 000 r/min with the method of trial calculation. With these parameters, the friction heating power of the auxiliary bearing was calculated, and compared with the change rate of the kinetic energy of the rotor observed in the experiment. It is found that the heating power calculated by the local method is approximately equivalent to the change rate of the kinetic energy, which proves the feasibility of the theoretical calculation. During the drop process of a non-lubricated auxiliary bearing, the spin of the ball generates the most heat, followed by the differential sliding between the ball and the raceway. The sum of the two accounts for the main part of the total heat, and the rolling elastic hysteresis between the ball and the raceway generates less heat.

     

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