摘要
提出用振动瞬时值的波动范围、振动平均值的波动范围、振动序列对应时间段内的平均波动范围3个指标来综合表征在轴承服役过程中其振动性能的不确定性,并定量分析3个不确定性指标与振动性能保持可靠性的内在具体关系。运用最大熵法和泊松过程理论,计算轴承的振动性能保持可靠度;基于灰自助法、自助法和最大熵法、经典统计法,依次计算3个不确定性指标值;建立多因素回归分析模型,分析性能保持可靠性与3个不确定性指标的关系表达式。结果表明:对于案例1和案例2,性能保持可靠性与3个不确定性指标的线性相关系数分别为-0.843 7、-0.779 8、-0.759 7;-0.835 4、-0.843 9、-0.808 2。两个案例均表明瞬时值的波动范围与平均波动范围对性能保持可靠性有非线性影响。
Three indicators, i.e., the fluctuation range of instantaneous vibration value, fluctuation range of average vibration value and the average fluctuation range during the corresponding period of vibration sequence, were used to characterize the uncertainty of vibration performance of bearing in service comprehensively, so as to quantitatively analyze the internal specific relationship between the three uncertainty indexes and vibration performance maintaining reliability. The maximum entropy method and Poisson process theory were used to calculate the vibration performance maintaining reliability of bearings. The values of three uncertainty indexes were calculated in turn based on the grey bootstrap method, bootstrap method and maximum entropy method, and classical statistical method. A multivariate regression analysis model was established to analyze the expression of the relationship between the performance maintaining reliability and the three uncertainty indexes. Results showed that the linear correlation coefficients between performance maintenance reliability and the three uncertainties were-0.843 7,-0.779 8,-0.759 7;-0.835 4,-0.843 9,-0.808 2 for case 1 and case 2,respectively. Both cases show that the fluctuation range of instantaneous value and average fluctuation range have nonlinear influence on performance maintenance reliability.
作者
叶亮
夏新涛
常振
YE Liang;XIA Xintao;CHANG Zhen(School of Mechanical Engineering,Northwestern Polytechnical University,Xi’an 710072,China;School of Mechatronics Engineering,Henan University of Science and Technology,Luoyang Henan 471003,China;Collaborative Innovation Center of Machinery Equipment Advanced Manufacturing of Henan Province,Henan University of Science and Technology,Luoyang Henan 471003,China;Quality Inspection Center,Hangzhou Bearing Test and Research Center Company Limited,Hangzhou 310022,China)
出处
《航空动力学报》
EI
CAS
CSCD
北大核心
2020年第11期2326-2338,共13页
Journal of Aerospace Power
基金
国家自然科学基金(51475144)
河南省自然科学基金(162300410065)。
关键词
滚动轴承
振动性能保持可靠性
不确定性
多因素回归分析模型
波动范围
rolling bearing
vibration performance maintaining reliability
uncertainty
multivariate regression analysis model
fluctuation range
