Study on Rolling Bearing Vibration Performance by Multi-sensors Information Fusion
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摘要: 在变工况和多传感器条件下，分析滚动轴承振动性能的主要影响因素并进行排序。对采集到的数据样本进行均值归一化处理，运用最大熵法计算归一化样本的概率密度函数；基于概率密度函数交集法，求解载荷、转速等数据样本与振动数据样本的概率密度函数的重合面积；融合灰自助法和最大熵法，分析4个工位温度数据样本对轴承振动性能的综合影响度，最终求解出滚动轴承振动性能的主要影响因素。试验研究结果表明，滚动轴承C276909NK2W1在服役过程中，径向载荷、轴向载荷、转速和温度对其振动性能的影响度分别为0.744 6、0.291 0、0.290 3、0.243 6，即该轴承的振动性能的主要影响因素为径向载荷，然后依次为轴向载荷、转速和温度。Abstract: The main influence factors are analyzed and sorted on the vibration performance of rolling bearings under the conditions of variable working condition and multi-sensors. The data samples collected were mean-value-normalized and the probability density functions of the normalized samples were calculated with the maximum entropy method. Based on the probability density function-intersection method, the overlap areas of probability density functions were solved for load, speed and vibration data samples. The grey-bootstrap method and the maximum entropy method were fused to analyze the comprehensive influence degree of 4 temperature data samples on vibration performance of rolling bearing. Finally, the main influence factors were solved for vibration performance of rolling bearing. The experimental results show that the influence degrees of radial load, axial load, speed and temperature are 0.744 6, 0.291 0, 0.290 3 and 0.243 6 respectively on the vibration performance of the rolling bearing C276909NK2W1, which means the main influence factors of the bearing vibration performance is radial load, then the axial load, speed and temperature.
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表 1 各个数据样本的拉格朗日乘子
样本 拉格朗日乘子 a1 a2 a3 a4 a5 a6 X0 -1.87 1.18 0.46 -1.32 -0.07 0.16 X1 -0.39 1.78 -0.03 -0.72 0.01 0.07 X2 -0.01 2.75 -3.14 -3.34 0.39 0.42 X3 -0.18 1.74 -0.13 -0.75 0.02 0.07 
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表 2 各个概率密度函数的交集
样本 与X0的概率密度函数的交集 横坐标 纵坐标 面积 X1 0.299 1 0.213 1 0.291 0 X2 0.069 0 6.495 8 0.370 7 0.119 0 0.744 6 0.665 5 0.276 2 X3 0.284 9 0.255 9 0.290 3
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表 3 各个温度数据样本的拉格朗日乘子
样本 拉格朗日乘子 a1 a2 a3 a4 a5 a6 X4 -0.71 1.94 0.74 -0.86 -0.16 0.10 X5 0.52 -0.52 -0.26 0.40 -0.04 -0.06 X6 0.26 -0.92 0.14 0.48 -0.14 -0.08 X7 0.19 1.29 -0.01 -0.56 -0.08 0.07
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表 4 温度与振动数据样本概率密度函数的交集
样本 与X0的概率密度函数的交集 横坐标 纵坐标 面积 X4 0.272 1 0.309 9 0.239 1 X5 0.216 1 0.831 2 0.221 3 X6 0.194 1 1.282 1 0.302 5 X7 0.246 4 0.474 6 0.187 6
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