CN110207987B - A method for determining the degradation node of rolling bearing performance degradation - Google Patents
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Abstract
本发明公开了一种滚动轴承性能退化衰退节点的判定方法,涉及轴承性能检测技术领域,该方法包括获取不同监测周期的振动加速度数据,并对该数据进行希尔伯特变换,求功率谱密度最大值,生成功率谱密度最大值曲线,生成功率谱密度最大值一阶导数曲线,定义衰退期节点,确定可预测区间。本发明在整个轴承寿命周期中,能够使得提取的不同轴承的性能退化特征量变化趋势呈现一致性,并可以根据趋势曲线判定轴承的工作阶段及进入衰退期的节点,进而确定可预测区间。此外,该方法能够有效提高滚动轴承剩余寿命预测的精度,这为确保系统的安全性、可用性与高效工作,降低维修费用,实现状态修提供方法基础。
The invention discloses a method for judging the degradation node of rolling bearing performance degradation, which relates to the technical field of bearing performance detection. value, generate the maximum power spectral density curve, generate the first derivative curve of the maximum power spectral density, define the decay period node, and determine the predictable interval. In the whole bearing life cycle, the present invention can make the change trend of the extracted performance degradation characteristic quantity of different bearings consistent, and can determine the working stage of the bearing and the node entering the recession stage according to the trend curve, and then determine the predictable interval. In addition, the method can effectively improve the accuracy of the prediction of the remaining life of the rolling bearing, which provides a method basis for ensuring the safety, availability and efficient operation of the system, reducing maintenance costs, and realizing condition repair.
Description
技术领域technical field
本发明涉及轴承性能检测技术领域,特别是涉及一种滚动轴承性能退化衰退节点的判定方法。The invention relates to the technical field of bearing performance detection, in particular to a method for determining a node of performance degradation and decline of a rolling bearing.
背景技术Background technique
不同轴承因其工况、损伤类型等的不同使得其寿命值存在一定差异,较难找到反映不同轴承性能退化特征量变化趋势一致性的指标,这为提高轴承剩余寿命预测精度带来困难。轴承的整个工作周期,可以分为磨合阶段、正常阶段及衰退阶段。轴承的剩余寿命预测应选取性能衰退期作为预测区间,如果不能找到反映提取的性能退化特征量变化趋势一致性的指标,就使得轴承的工作周期划分没有统一的标准。因此找到反映提取的特征量变化趋势一致性的指标是至关重要的,可以提高轴承剩余寿命预测的精度,也可以为衰退期的确定提供统一的标准。Different bearings have different life values due to their different working conditions and damage types. It is difficult to find an index that reflects the consistency of the change trend of different bearing performance degradation characteristics, which brings difficulties to improve the prediction accuracy of bearing remaining life. The entire working cycle of the bearing can be divided into a running-in stage, a normal stage and a recession stage. The remaining life prediction of the bearing should select the performance decline period as the prediction interval. If the index reflecting the consistency of the change trend of the extracted performance degradation feature quantity cannot be found, there will be no uniform standard for the division of the working cycle of the bearing. Therefore, it is crucial to find an index that reflects the consistency of the change trend of the extracted feature quantities, which can improve the accuracy of bearing residual life prediction and provide a unified standard for the determination of the recession period.
发明内容SUMMARY OF THE INVENTION
为了解决上述背景技术中所出现的问题,本发明提出了一种滚动轴承性能退化衰退节点的判定方法,在整个寿命周期中,这种方法能够使得提取的不同轴承的性能退化特征量变化趋势呈现一致性,并可以根据趋势曲线判定轴承的工作阶段及进入衰退期的节点,进而确定可预测区间。In order to solve the above-mentioned problems in the background technology, the present invention proposes a method for determining the degradation node of rolling bearing performance degradation. This method can make the change trend of the extracted performance degradation characteristic quantities of different bearings consistent throughout the life cycle. According to the trend curve, the working stage of the bearing and the node entering the recession period can be determined, and then the predictable interval can be determined.
本发明的技术方案是:The technical scheme of the present invention is:
一种滚动轴承性能退化衰退节点的判定方法,该方法的具体步骤是:A method for judging the degradation node of rolling bearing performance degradation, the specific steps of the method are:
步骤1:获取不同监测周期的振动加速度数据,对轴承全寿命数据集bi中的数据样本Dataij进行希尔伯特变换后获得Dataij的功率谱密度PSD_Dataij;Step 1: Obtain the vibration acceleration data of different monitoring periods, and perform Hilbert transform on the data samples Dataij in the bearing life data set bi to obtain the power spectral density PSD_Dataij of Dataij;
步骤2:求数据Dataij的功率谱密度曲线PSD_Dataij的最大值PSD_MAX_Dataij,并构成功率谱密度最大值集合PMDi={PSD_MAX_Dataij|i=1,2,…,n,j=1,2,…,Ni},n为轴承全寿命数据集bi中包含的轴承个数,Ni为bi中数据样本个数;Step 2: Find the maximum value PSD_MAX_Dataij of the power spectral density curve PSD_Dataij of the data Dataij, and form the maximum power spectral density set PMDi={PSD_MAX_Dataij|i=1,2,…,n,j=1,2,…,Ni} , n is the number of bearings included in the bearing life data set bi, and Ni is the number of data samples in bi;
步骤3:采用四次多项式拟合对功率谱密度最大值集合PMDi进行曲线拟合,获得拟合曲线PPMDi;Step 3: use quartic polynomial fitting to perform curve fitting on the maximum power spectral density set PMDi to obtain the fitting curve PPMDi;
步骤4:对拟合曲线PPMDi进行求导,得到拟合曲线的求导曲线DPPMDi,即为特征量变化趋势;Step 4: Differentiate the fitting curve PPMDi to obtain the derivation curve DPPMDi of the fitting curve, which is the change trend of the characteristic quantity;
步骤5:求DPPMDi曲线的拐点,并将第一个拐点定义为轴承进入正常工作状态的节点,第二个拐点定义为轴承进入性能衰退阶段的节点,确定可预测区间。Step 5: Find the inflection point of the DPPMDi curve, and define the first inflection point as the node where the bearing enters the normal working state, and the second inflection point as the node where the bearing enters the performance decline stage, and determine the predictable interval.
优选的,所述求导曲线DPPMDi是所述功率谱密度最大值一阶导数曲线。Preferably, the derivation curve DPPMDi is the first derivative curve of the maximum power spectral density.
本发明所提出的一种滚动轴承性能退化衰退节点的判定方法的有益效果:在整个轴承寿命周期中,能够使得提取的不同轴承的性能退化特征量变化趋势呈现一致性,并可以根据趋势曲线判定轴承的工作阶段及进入衰退期的节点,进而确定可预测区间。此外,该方法能够有效提高滚动轴承剩余寿命预测的精度,这为确保系统的安全性、可用性与高效工作,降低维修费用,实现状态修提供方法基础。The beneficial effects of the method for judging the degradation node of rolling bearing performance proposed by the present invention: in the whole bearing life cycle, the change trend of the extracted performance degradation characteristic quantities of different bearings can be made consistent, and the bearing can be determined according to the trend curve. The working stage and the node entering the recession period, and then determine the predictable interval. In addition, the method can effectively improve the accuracy of the prediction of the remaining life of the rolling bearing, which provides a method basis for ensuring the safety, availability and efficient operation of the system, reducing maintenance costs, and realizing condition repair.
附图说明Description of drawings
为了更清楚地说明本发明实施例或现有技术中的技术方案,下面将对实施例或现有技术描述中所需要使用的附图作简单地介绍,显而易见地,下面描述中的附图仅仅是本发明的一些实施例,对于本领域普通技术人员来讲,在不付出创造性劳动的前提下,还可以根据这些附图获得其他的附图。In order to explain the embodiments of the present invention or the technical solutions in the prior art more clearly, the following briefly introduces the accompanying drawings that need to be used in the description of the embodiments or the prior art. Obviously, the accompanying drawings in the following description are only These are some embodiments of the present invention. For those of ordinary skill in the art, other drawings can also be obtained according to these drawings without creative efforts.
图1为本发明提供的一种滚动轴承性能退化衰退节点的判定方法的具体流程图;Fig. 1 is a specific flow chart of a method for judging a node of performance degradation of a rolling bearing provided by the present invention;
图2为本发明的轴承全寿命性能退化特征曲线图;其中,FIG. 2 is a characteristic curve diagram of the performance degradation of the bearing throughout the life of the present invention; wherein,
a(1)是bearing1_1功率谱密度最大值曲线及其拟合曲线,a(2)是拟合曲线的一阶导数;a(1) is the maximum power spectral density curve of bearing1_1 and its fitting curve, a(2) is the first derivative of the fitting curve;
b(1)是bearing1_2功率谱密度最大值曲线及其拟合曲线,b(2)是拟合曲线的一阶导数;b(1) is the maximum power spectral density curve of bearing1_2 and its fitting curve, and b(2) is the first derivative of the fitting curve;
c(1)是bearing1_5功率谱密度最大值曲线及其拟合曲线,c(2)是拟合曲线的一阶导数;c(1) is the maximum power spectral density curve of bearing1_5 and its fitting curve, and c(2) is the first derivative of the fitting curve;
d(1)是bearing1_7功率谱密度最大值曲线及其拟合曲线,d(2)是拟合曲线的一阶导数;d(1) is the maximum power spectral density curve of bearing1_7 and its fitting curve, d(2) is the first derivative of the fitting curve;
e(1)bearing2_1功率谱密度最大值曲线及其拟合曲线,e(2)是拟合曲线的一阶导数;e(1) bearing2_1 power spectral density maximum curve and its fitting curve, e(2) is the first derivative of the fitting curve;
f(1)是bearing2_2功率谱密度最大值曲线及其拟合曲线,f(2)是拟合曲线的一阶导数;f(1) is the maximum power spectral density curve of bearing2_2 and its fitting curve, and f(2) is the first derivative of the fitting curve;
g(1)是bearing2_5功率谱密度最大值曲线及其拟合曲线,g(2)是拟合曲线的一阶导数;g(1) is the maximum power spectral density curve of bearing2_5 and its fitting curve, and g(2) is the first derivative of the fitting curve;
h(1)是bearing2_6功率谱密度最大值曲线及其拟合曲线,h(2)是拟合曲线的一阶导数;h(1) is the maximum power spectral density curve of bearing2_6 and its fitting curve, and h(2) is the first derivative of the fitting curve;
i(1)是bearing2_7功率谱密度最大值曲线及其拟合曲线,i(2)是拟合曲线的一阶导数;i(1) is the maximum power spectral density curve of bearing2_7 and its fitting curve, and i(2) is the first derivative of the fitting curve;
j(1)是bearing3_1功率谱密度最大值曲线及其拟合曲线,j(2)是拟合曲线的一阶导数;j(1) is the maximum power spectral density curve of bearing3_1 and its fitting curve, and j(2) is the first derivative of the fitting curve;
k(1)是bearing3_2功率谱密度最大值曲线及其拟合曲线,k(2)是拟合曲线的一阶导数。k(1) is the maximum power spectral density curve of bearing3_2 and its fitting curve, and k(2) is the first derivative of the fitting curve.
图3为本发明的不同特征提取方法下的轴承全寿命特征曲线图;其中,Fig. 3 is the characteristic curve diagram of bearing full life under different feature extraction methods of the present invention; wherein,
(a)1是bearing1_1全寿命时域曲线图,(a)2bearing1_2全寿命时域曲线图;(a) 1 is the time domain curve diagram of bearing1_1 full life, (a) 2 is the full life time domain curve of bearing1_2;
(b)1是bearing1_1HOMMSE曲线图,(b)2是bearing1_2HOMMSE曲线图;(b)1 is the bearing1_1HOMMSE curve, (b)2 is the bearing1_2HOMMSE curve;
(c)1是bearing1_1RMS曲线图,(c)2是bearing1_2RMS曲线图;(c)1 is the bearing1_1RMS curve, (c)2 is the bearing1_2RMS curve;
(d)1是bearing1_1EE曲线图,(d)2是bearing1_2EE曲线图;(d)1 is the curve of bearing1_1EE, (d)2 is the curve of bearing1_2EE;
(e)1是bearing1_1PMD曲线图,(e)2是bearing1_2PMD曲线图。(e)1 is the bearing1_1PMD graph, (e)2 is the bearing1_2PMD graph.
具体实施方式Detailed ways
下面将结合本发明实施例中的附图,对本发明实施例中的技术方案进行清楚、完整地描述,显然,所描述的实施例仅仅是本发明一部分实施例,而不是全部的实施例。基于本发明中的实施例,本领域普通技术人员在没有做出创造性劳动前提下所获得的所有其他实施例,都属于本发明保护的范围。The technical solutions in the embodiments of the present invention will be clearly and completely described below with reference to the accompanying drawings in the embodiments of the present invention. Obviously, the described embodiments are only a part of the embodiments of the present invention, but not all of the embodiments. Based on the embodiments of the present invention, all other embodiments obtained by those of ordinary skill in the art without creative efforts shall fall within the protection scope of the present invention.
1实验方法1 Experimental method
参照图1,本发明实施例中提供了一种滚动轴承性能退化衰退节点的判定方法,该方法的具体步骤如下:Referring to FIG. 1 , an embodiment of the present invention provides a method for determining a node of performance degradation of a rolling bearing. The specific steps of the method are as follows:
步骤1:获取不同监测周期的振动加速度数据,对轴承全寿命数据集bi中的数据样本Dataij进行希尔伯特变换后获得Dataij的功率谱密度PSD_Dataij;Step 1: Obtain the vibration acceleration data of different monitoring periods, and perform Hilbert transform on the data samples Dataij in the bearing life data set bi to obtain the power spectral density PSD_Dataij of Dataij;
步骤2:求数据Dataij的功率谱密度曲线PSD_Dataij的最大值PSD_MAX_Dataij,并构成功率谱密度最大值集合PMDi={PSD_MAX_Dataij|i=1,2,…,n,j=1,2,…,Ni},n为轴承全寿命数据集bi中包含的轴承个数,Ni为bi中数据样本个数;Step 2: Find the maximum value PSD_MAX_Dataij of the power spectral density curve PSD_Dataij of the data Dataij, and form the maximum power spectral density set PMDi={PSD_MAX_Dataij|i=1,2,…,n,j=1,2,…,Ni} , n is the number of bearings included in the bearing life data set bi, and Ni is the number of data samples in bi;
步骤3:采用四次多项式拟合对功率谱密度最大值集合PMDi进行曲线拟合,获得拟合曲线PPMDi;Step 3: use quartic polynomial fitting to perform curve fitting on the maximum power spectral density set PMDi to obtain the fitting curve PPMDi;
步骤4:对拟合曲线PPMDi进行求导,得到拟合曲线的求导曲线DPPMDi,即为特征量变化趋势;其中,所述求导曲线DPPMDi是所述功率谱密度最大值一阶导数曲线;Step 4: derivation of the fitting curve PPMDi to obtain a derivation curve DPPMDi of the fitting curve, which is the variation trend of the characteristic quantity; wherein, the derivation curve DPPMDi is the first derivative curve of the maximum power spectral density;
步骤5:求DPPMDi曲线的拐点,并将第一个拐点定义为轴承进入正常工作状态的节点,第二个拐点定义为轴承进入性能衰退阶段的节点,确定可预测区间。Step 5: Find the inflection point of the DPPMDi curve, and define the first inflection point as the node where the bearing enters the normal working state, and the second inflection point as the node where the bearing enters the performance decline stage, and determine the predictable interval.
2实验过程2 Experimental process
依据本发明所提出的一种滚动轴承性能退化衰退节点的判定方法,利用FEMTO-ST研究所的PRONOSTIA实验室的实验平台对轴承退化数据进行采集。轴承退化数据采用彼此互成90°的振动加速度传感器进行采集,第一个传感器放置在轴承的垂直方向,第二个传感器放置在轴承的水平方向,两个传感器径向放置在轴承的外座圈上,采样频率为25.6kHz,每隔10秒采集2560个数据样本。本发明使用的实验数据为垂直方向传感器采集的数据。According to a method for judging the degradation node of rolling bearing performance degradation proposed in the present invention, the bearing degradation data is collected by using the experimental platform of the PRONOSTIA laboratory of the FEMTO-ST research institute. Bearing degradation data are collected using vibration acceleration sensors placed at 90° to each other. The first sensor is placed in the vertical direction of the bearing, the second sensor is placed in the horizontal direction of the bearing, and the two sensors are placed radially on the outer race of the bearing. , the sampling frequency is 25.6kHz, and 2560 data samples are collected every 10 seconds. The experimental data used in the present invention is the data collected by the sensor in the vertical direction.
实验的三种运行条件为:(1)1800rpm和4000N;(2)1650rpm和4200N;The three operating conditions of the experiment are: (1) 1800rpm and 4000N; (2) 1650rpm and 4200N;
(3)1500rpm和5000N。(3) 1500rpm and 5000N.
轴承在不同的运行条件下进行寿命实验,具体分配如表1所示。Bearings are subjected to life experiments under different operating conditions, and the specific distribution is shown in Table 1.
表1轴承寿命数据集Table 1 Bearing life dataset
以轴承bearing1_1为例,采集到的第一个监测周期的振动加速度数据如表2所示。Taking bearing1_1 as an example, the collected vibration acceleration data of the first monitoring period are shown in Table 2.
表2轴承bearing1_1第一个监测周期的振动加速度数据Table 2 The vibration acceleration data of the first monitoring cycle of bearing1_1
对每个监测周期的振动加速度数据进行希尔伯特变换后求功率谱密度。The power spectral density is obtained after Hilbert transform is performed on the vibration acceleration data of each monitoring period.
以轴承bearing1_1为例,采集到的第一个监测周期的振动加速度数据的功率谱密度值如表3所示。Taking bearing1_1 as an example, the power spectral density value of the vibration acceleration data collected in the first monitoring period is shown in Table 3.
表3轴承bearing1_1第一个监测周期的振动加速度数据的功率谱密度值Table 3 The power spectral density value of the vibration acceleration data of the first monitoring cycle of bearing1_1
再对每个监测周期振动加速度数据的功率谱密度进行求最大值操作。Then, the maximum value operation is performed on the power spectral density of the vibration acceleration data in each monitoring period.
以轴承bearing1_1为例,整个寿命周期振动加速度数据的功率谱密度最大值如表4所示。Taking the bearing bearing1_1 as an example, the maximum power spectral density of the vibration acceleration data throughout the life cycle is shown in Table 4.
表4轴承bearing1_1全寿命周期振动加速度数据的功率谱密度最大值Table 4 The maximum power spectral density of the vibration acceleration data of the bearing1_1 in the whole life cycle
3实验结果及分析3 Experimental results and analysis
根据性能评估模型的具体算法流程,对所有轴承的全寿命数据做功率谱密度最大值曲线及其4次拟合曲线、4次拟合曲线的一次求导曲线,所有轴承的全寿命周期特征曲线如图2所示,从图2中可以看出,在全寿命周期内,各个轴承的希尔伯特谱呈现出不同的形态,其四次拟合曲线形态也各不相同,但四次拟合曲线的一阶导数呈现出相似的形态,都出现了两个明显的拐点。由此可以看出,本发明所提出的滚动轴承性能评估新模型,在整个寿命周期中,能够使得提取的不同轴承的性能退化特征量变化趋势呈现一致性,并可以根据趋势曲线判定轴承的工作阶段及进入衰退期的节点,进而确定可预测区间。According to the specific algorithm flow of the performance evaluation model, the maximum power spectral density curve and its 4th order fitting curve, the first derivation curve of the 4th order fitting curve, and the full life cycle characteristic curve of all bearings are made for the full life data of all bearings. As shown in Figure 2, it can be seen from Figure 2 that in the whole life cycle, the Hilbert spectrum of each bearing presents different shapes, and the shape of the four-order fitting curve is also different, but the four-order fitting curve is different. The first derivative of the composite curve shows a similar shape, with two distinct inflection points. It can be seen from this that the new model for performance evaluation of rolling bearings proposed by the present invention can make the change trend of the extracted performance degradation characteristic quantities of different bearings consistent in the whole life cycle, and can determine the working stage of the bearing according to the trend curve. And the node entering the recession period, and then determine the predictable interval.
不同性能退化特征指标对比分析Comparative analysis of different performance degradation characteristic indicators
为了验证本发明所提出的一种滚动轴承性能退化衰退节点的判定方法的有效性,将时域、高阶数学形态谱熵(Higher order mathematical morphology spectralentropy,HOMMSE)、均方根值(Root mean square,RMS)、能量熵(Energy entropy,EE)这4种性能退化特征指标与PMD指标做对比,选取轴承bearing1_1和bearing1_2为分析对象,对比结果如图3所示。In order to verify the validity of the method for determining the degradation node of rolling bearing performance proposed in the present invention, the time domain, higher order mathematical morphology spectral entropy (HOMMSE), root mean square (Root mean square, RMS), energy entropy (Energy entropy, EE), these four performance degradation characteristic indicators are compared with PMD indicators, and the bearing1_1 and bearing1_2 are selected as the analysis objects, and the comparison results are shown in Figure 3.
本实验列举了两个轴承,5种轴承全寿命特征曲线图。图3(a)是轴承全寿命周期的振动加速度时域图,从中可以看到轴承bearing1_1的振动加速度幅值随时间逐渐增大,直至最终损坏;而轴承bearing1_2的曲线形态与轴承bearing1_1明显不同,曲线上存在大量的突变,且其幅值大小变化并不存在明显的规律,说明振动中存在着大量的噪声;图3(b)是轴承高阶数学形态谱熵曲线图,从中可以看到轴承bearing1_1从开始直至损坏,熵值呈上升趋势,而轴承bearing1_2的熵值变化却并不明显,基本看不出其趋势变化,说明HOMMSE曲线对噪声敏感;图3(c)是轴承的RMS值曲线图,从中可以看出轴承bearing1_1的RMS值逐渐增大直至轴承损坏,而轴承bearing1_2的RMS幅值存在明显的突变,这也是由于采集信号种存在大量噪声造成的;图3(d)是轴承EE曲线图,从图中可以看到轴承bearing1_1曲线图中间高两边低,而轴承bearing1_2曲线却被大量的突变覆盖。综合时域、HOMMSE、RMS、EE曲线图,实验结果表明,此4种特征对噪声敏感,不能屏蔽噪声对曲线图的影响;与以上特征曲线不同,图3(e)是轴承PMD曲线图,从中可以看到对于轴承bearing1_1、bearing1_2曲线图存在明显的相似性,其总体变化趋势相似,都存在两个明显的拐点,并且当轴承进入衰退期时,其值逐渐增大直至最后失效。In this experiment, two bearings and five kinds of bearing life characteristic curves are listed. Figure 3(a) is the time domain diagram of the vibration acceleration of the bearing throughout its life cycle, from which it can be seen that the amplitude of the vibration acceleration of the bearing bearing1_1 gradually increases with time until it is finally damaged; the curve shape of the bearing bearing1_2 is obviously different from that of the bearing1_1. There are a lot of sudden changes on the curve, and there is no obvious law in the amplitude change, indicating that there is a lot of noise in the vibration; Figure 3(b) is the high-order mathematical morphology spectrum entropy curve of the bearing, from which we can see that the bearing From the beginning to the damage of bearing1_1, the entropy value shows an upward trend, while the change of the entropy value of bearing1_2 is not obvious, and the trend change is basically invisible, indicating that the HOMMSE curve is sensitive to noise; Figure 3(c) is the RMS value curve of the bearing From the figure, it can be seen that the RMS value of bearing1_1 gradually increases until the bearing is damaged, while the RMS amplitude of bearing1_2 has obvious mutation, which is also caused by a large amount of noise in the collected signal species; Figure 3(d) is the bearing EE From the graph, we can see that the curve of bearing1_1 is high in the middle and low on both sides, while the curve of bearing1_2 is covered by a large number of sudden changes. Comprehensive time domain, HOMMSE, RMS, EE curves, the experimental results show that these four characteristics are sensitive to noise and cannot shield the influence of noise on the curve; different from the above characteristic curves, Figure 3(e) is the bearing PMD curve, It can be seen that there are obvious similarities in the curves of bearings bearing1_1 and bearing1_2, and their overall changing trends are similar. There are two obvious inflection points, and when the bearing enters the recession period, its value gradually increases until it finally fails.
以上公开的仅为本发明的具体实施例,但是,本发明实施例并非局限于此,任何本领域的技术人员能思之的变化都应落入本发明的保护范围。The above disclosures are only specific embodiments of the present invention, however, the embodiments of the present invention are not limited thereto, and any changes that can be conceived by those skilled in the art should fall within the protection scope of the present invention.
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