滚动轴承振动性能状态演变的非线性特征和不确定性特征的灰关系分析  

Grey relation analysis on nonlinear characteristics and uncertainty characteristics of evolution of rolling bearing vibration performance state

作　　者：叶亮[1] 邓四二[1,2,3] 崔永存 张文虎[1] 庞晓旭 YE Liang;DENG Sier;CUI Yongcun;ZHANG Wenhu;PANG Xiaoxu(School of Mechatronics Engineering,Henan University of Science and Technology,Luoyang Henan 471003,China;Collaborative Innovation Center of Major Machine Manufacturing in Liaoning,Dalian Liaoning 116024,China;National United Engineering Laboratory for Advanced Bearing Tribology,Henan University of Science and Technology,Luoyang Henan 471023,China)

机构地区：[1]河南科技大学机电工程学院,河南洛阳471003 [2]辽宁重大装备制造协同创新中心,辽宁大连116024 [3]河南科技大学高端轴承摩擦学技术与应用国家地方联合工程实验室,河南洛阳471023

出　　处：《航空动力学报》2022年第6期1121-1133,共13页Journal of Aerospace Power

基　　金：国家自然科学基金青年科学基金项目(51905152);河南省重点研发与推广专项(科技攻关)(202102210083)。

摘　　要：为了更加全面有效地监测滚动轴承服役过程中其振动性能状态的演变历程,用关联维数和盒维数表征振动性能状态演变的非线性,用振动数据瞬时值的波动范围和平均值的波动范围表征振动性能状态演变的不确定性。运用灰关系分析法求解参数序列之间的灰置信水平,进而分析轴承振动性能状态演变的非线性特征和不确定性特征之间的非线性相关程度。两个案例表明:总体上来看,关联维数和盒维数均有减小的趋势,瞬时值的波动范围和平均值的波动范围都有增大的趋势,而且它们在突变点处有某种意义上的对应关系。非线性特征参数序列和不确定性特征参数序列总体上有负相关关系,且不确定性参数序列与关联维数的灰置信水平均比其与盒维数的灰置信水平要高。In order to more comprehensively and effectively monitor the evolution process of vibration performance state of rolling bearing in service,the nonlinear and uncertainty features of evolution of vibration performance state were characterized by correlation dimension and box dimension, the fluctuation ranges of instantaneous value and average value of vibration data. The grey confidence level between the parameter sequences was solved by using the grey relation analysis method, so as to analyze the nonlinear correlation degree between the nonlinear and uncertain characteristics of the evolution of the bearing vibration performance state. Two cases showed that the correlation dimension and box dimension had a trend of decrease, and the fluctuation ranges of instantaneous value and average value had a trend of increase on the whole. Moreover,they had corresponding relationships at the discontinuity points in a sense. There were negative correlation relationships among nonlinear parameters and uncertain parameters. Besides,the grey confidence levels between sequences of uncertain parameters and correlation dimension were higher than the uncertainty parameters and box dimension.

关 键 词：滚动轴承 性能状态演变 非线性 不确定性 关联维数 盒维数 瞬时值的波动范围 平均值的波动范围 

分 类 号：V216.3[航空宇航科学与技术—航空宇航推进理论与工程] TH133.33[机械工程—机械制造及自动化]