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滚动轴承摩擦力矩的波动具有不确定性,属于概率分布与趋势规律都未知的乏信息系统.这阻碍了对轴承摩擦力矩的小样本分析与总体把握.为此,以模糊集合理论为基础,从小样本入手,建立了航天轴承摩擦力矩参数的经验概率密度函数及其模糊预报模型,并对摩擦力矩的均值上界和最大值上界进行预报.对HKTA和HKTB两种轴承摩擦力矩参数的试验研究表明,在99%~100%置信水平下,预报结果与试验结果之间的误差很小,最大绝对误差仅为0.081 1个设定单位,最大相对误差仅为10.165%,可以满足航天工程的要求.
The fluctuation of the friction torque of the rolling bearing is uncertain, and it belongs to the information system with the unknown probability distribution and trend, which hinders the small sample analysis and general grasping of the bearing friction torque.Therefore, on the basis of fuzzy set theory, The empirical probability density function and its fuzzy forecasting model of aerospace bearing friction torque parameters are established, and the mean upper bound and maximum bound of friction torque are predicted.Experimental research on the friction moment parameters of HKTA and HKTB bearings shows , With a confidence level of 99% ~ 100%, the error between the forecast result and the test result is very small. The maximum absolute error is only 0.081 1 set unit, the maximum relative error is only 10.165%, which can meet the requirements of aerospace engineering.