CN117743836B - Abnormal vibration monitoring method for bearing - Google Patents
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Abstract
本发明涉及电数字数据处理技术领域,具体涉及一种轴承异常振动监测方法,该方法包括:采集各周期的轴承在水平方向和垂直方向上的振幅信号,获得水平周期振幅序列;对水平周期振幅序列进行小波变换获得水平振动去噪序列;根据相邻周期的水平振动去噪序列中对应元素之间的差异获得权重系数;根据水平振动去噪序列以及权重系数获取连续振幅差异指数;根据水平振动去噪序以及连续振幅差异指数之间的差异获得轴承水平异常振动置信度,同时获得轴承垂直异常振动置信度,进而获取异常振动置信点;根据异常振动置信点获得当前时刻所在周期的振动异常检测结果。本发明可实现对轴承异常振动的实施监测,提高监测的准确度。
The present invention relates to the technical field of electrical digital data processing, and in particular to a method for monitoring abnormal vibration of a bearing, the method comprising: collecting amplitude signals of the bearing in the horizontal and vertical directions of each period to obtain a horizontal period amplitude sequence; performing wavelet transform on the horizontal period amplitude sequence to obtain a horizontal vibration denoising sequence; obtaining a weight coefficient according to the difference between corresponding elements in the horizontal vibration denoising sequence of adjacent periods; obtaining a continuous amplitude difference index according to the horizontal vibration denoising sequence and the weight coefficient; obtaining a confidence degree of abnormal horizontal vibration of the bearing according to the difference between the horizontal vibration denoising sequence and the continuous amplitude difference index, and simultaneously obtaining a confidence degree of abnormal vertical vibration of the bearing, and then obtaining an abnormal vibration confidence point; obtaining a vibration abnormality detection result of the period at the current moment according to the abnormal vibration confidence point. The present invention can realize the monitoring of abnormal vibration of the bearing and improve the accuracy of monitoring.
Description
技术领域Technical Field
本申请涉及脑信号数据优化处理技术领域,具体涉及一种轴承异常振动监测方法。The present application relates to the technical field of brain signal data optimization processing, and in particular to a method for monitoring abnormal vibration of bearings.
背景技术Background technique
随着我国工业化的日渐完善,机械装置成为生产过程中必不可少的组件。其中轴承是机械设备中的一种重要零部件,用于减少机器零件之间的摩擦。轴承通常由内圈,外圈,滚动体,保持架和密封装置构成,由于其减少摩擦,承重和保护旋转支持部分的作用,被广泛应用于各种机械中。As my country's industrialization becomes more and more complete, mechanical devices have become an indispensable component in the production process. Among them, bearings are an important component in mechanical equipment, used to reduce friction between machine parts. Bearings are usually composed of inner rings, outer rings, rolling elements, cages and sealing devices. Due to their functions of reducing friction, bearing weight and protecting rotating support parts, they are widely used in various machines.
轴承在运转时,会在其平衡位置附近作有规律的往复运动,异常的振动情况不仅会影响轴承的使用寿命,甚至会进一步影响机械系统的正常运行。因此对轴承的异常振动进行监测,对与机械系统的正常运行和安全均有着重要意义。现有技术中,轴承振动数据的特征较少,通常使用轴承振动的幅值来检测轴承的异常振动,但周围环境发生变化时获振动传感器出现异常也会引起振幅的变化。因此,仅仅依赖轴承振动幅值来检测轴承的异常振动的准确度不高。When the bearing is running, it will make regular reciprocating motion near its equilibrium position. Abnormal vibration will not only affect the service life of the bearing, but will also further affect the normal operation of the mechanical system. Therefore, monitoring the abnormal vibration of the bearing is of great significance to the normal operation and safety of the mechanical system. In the prior art, the characteristics of the bearing vibration data are relatively few, and the amplitude of the bearing vibration is usually used to detect the abnormal vibration of the bearing. However, when the surrounding environment changes, the vibration sensor will also cause an abnormal change in the amplitude. Therefore, the accuracy of detecting the abnormal vibration of the bearing by relying solely on the bearing vibration amplitude is not high.
发明内容Summary of the invention
为了解决上述技术问题,本发明提供一种轴承异常振动监测方法,以解决现有的问题。In order to solve the above technical problems, the present invention provides a bearing abnormal vibration monitoring method to solve the existing problems.
本发明的一种轴承异常振动监测方法采用如下技术方案:A bearing abnormal vibration monitoring method of the present invention adopts the following technical solution:
本发明一个实施例提供了一种轴承异常振动监测方法,该方法包括以下步骤:An embodiment of the present invention provides a method for monitoring abnormal vibration of a bearing, the method comprising the following steps:
采集各周期内每个时刻的轴承在水平方向和垂直方向上的振幅信号;根据各时刻的轴承在水平方向的振幅信号获得水平周期振幅序列;Collect the amplitude signals of the bearing in the horizontal and vertical directions at each moment in each cycle; obtain the horizontal period amplitude sequence according to the amplitude signals of the bearing in the horizontal direction at each moment;
对水平周期振幅序列使用小波函数进行分解,将水平周期振幅序列分解为各尺度的细节系数序列;对各尺度的细节系数序列中的细节系数进行阈值处理,对阈值处理后的细节系数进行小波变换获得水平振动去噪序列;根据各时刻所在周期的水平振动去噪序列中的所有元素获得各时刻所在周期的水平振动差分序列;根据相邻周期的水平振动去噪序列中对应元素之间的差异获得权重系数;根据相邻周期的水平振动去噪序列、水平振动差分序列以及权重系数获取连续振幅差异指数;根据各周期与其他各周期的水平振动去噪序以及连续振幅差异指数之间的差异获得振动异常特征差异;根据相邻周期的振动异常特征差异之间的差异获得各周期的轴承水平异常振动置信度;对于各周期内每个时刻的轴承在垂直方向上的振幅信号,采用与轴承水平异常振动置信度相同的获取方法,得到各周期的轴承垂直异常振动置信度;根据各周期的轴承水平异常振动置信度与轴承垂直异常振动置信度获取异常振动置信点;Decompose the horizontal periodic amplitude sequence using wavelet function, and decompose the horizontal periodic amplitude sequence into detail coefficient sequences of each scale; perform threshold processing on the detail coefficients in the detail coefficient sequences of each scale, and perform wavelet transform on the detail coefficients after threshold processing to obtain the horizontal vibration denoising sequence; obtain the horizontal vibration difference sequence of the cycle at each moment according to all elements in the horizontal vibration denoising sequence of the cycle at each moment; obtain the weight coefficient according to the difference between the corresponding elements in the horizontal vibration denoising sequence of adjacent cycles; obtain the continuous amplitude difference index according to the horizontal vibration denoising sequence, horizontal vibration difference sequence and weight coefficient of adjacent cycles; obtain the vibration abnormality feature difference according to the difference between the horizontal vibration denoising sequence of each cycle and other cycles and the continuous amplitude difference index; obtain the horizontal abnormal vibration confidence of the bearing in each cycle according to the difference between the vibration abnormality feature differences of adjacent cycles; for the amplitude signal of the bearing in the vertical direction at each moment in each cycle, adopt the same acquisition method as the bearing horizontal abnormal vibration confidence to obtain the vertical abnormal vibration confidence of the bearing in each cycle; obtain the abnormal vibration confidence point according to the bearing horizontal abnormal vibration confidence and the bearing vertical abnormal vibration confidence of each cycle;
根据异常振动置信点获得当前时刻所在周期的振动异常检测结果。The vibration anomaly detection result of the current cycle is obtained based on the abnormal vibration confidence point.
进一步,所述根据各时刻的轴承在水平方向的振幅信号获得水平周期振幅序列,包括:Further, the step of obtaining a horizontal periodic amplitude sequence according to the amplitude signal of the bearing in the horizontal direction at each moment includes:
将水平方向上各时刻所在周期的振幅信号所组成的序列,记为各时刻所在周期的水平周期振幅序列。The sequence composed of the amplitude signals of the period at each moment in the horizontal direction is recorded as the horizontal period amplitude sequence of the period at each moment.
进一步,所述对各尺度的细节系数序列中的细节系数进行阈值处理,对阈值处理后的细节系数进行小波变换获得水平振动去噪序列,包括:Further, the threshold processing is performed on the detail coefficients in the detail coefficient sequence of each scale, and the wavelet transform is performed on the detail coefficients after the threshold processing to obtain the horizontal vibration denoising sequence, including:
对于各尺度的细节系数序列中的各细节系数,当细节系数的绝对值大于或等于预设细节系数阈值时,直接将细节系数作为阈值处理后的细节系数;反之,计算细节系数的正切值,将预设去噪因子与所述正切值的乘积作为阈值处理后的细节系数;对所有所述阈值处理后的细节系数,通过小波变换中的逆变换获得各时刻所在周期的水平振动去噪序列。For each detail coefficient in the detail coefficient sequence of each scale, when the absolute value of the detail coefficient is greater than or equal to the preset detail coefficient threshold, the detail coefficient is directly used as the detail coefficient after threshold processing; otherwise, the tangent value of the detail coefficient is calculated, and the product of the preset denoising factor and the tangent value is used as the detail coefficient after threshold processing; for all the detail coefficients after the threshold processing, the horizontal vibration denoising sequence of the period at each moment is obtained through the inverse transform in the wavelet transform.
进一步,所述根据各时刻所在周期的水平振动去噪序列中的所有元素获得各时刻所在周期的水平振动差分序列,包括:Further, the step of obtaining the horizontal vibration difference sequence of the period at each moment according to all elements in the horizontal vibration denoising sequence of the period at each moment includes:
将各时刻所在周期的水平振动去噪序列的一阶差分序列作为各时刻所在周期的水平振动差分序列。The first-order difference sequence of the horizontal vibration denoising sequence of the period at each moment is used as the horizontal vibration difference sequence of the period at each moment.
进一步,所述根据相邻周期的水平振动去噪序列中对应元素之间的差异获得权重系数,包括:Further, the step of obtaining the weight coefficient according to the difference between corresponding elements in the horizontal vibration denoising sequence of adjacent periods includes:
将t时刻所在周期的水平振动去噪序列中的第i个振幅信号,记为第一振幅信号;将t时刻所在周期的前一个周期的水平振动去噪序列中的第i个振幅信号,记为第二振幅信号;获取第一振幅信号的绝对值与第二振幅信号的绝对值之间的最大值,计算所述最大值的相反数,获取与自然常数为底数,以所述相反数为指数的指数函数;将1与所述指数函数的计算结果之间的差值作为t时刻所在周期的水平振动去噪序列中的第i个振幅信号的权重系数。The i-th amplitude signal in the horizontal vibration denoising sequence of the period where time t is located is recorded as the first amplitude signal; the i-th amplitude signal in the horizontal vibration denoising sequence of the period before the period where time t is located is recorded as the second amplitude signal; the maximum value between the absolute value of the first amplitude signal and the absolute value of the second amplitude signal is obtained, the inverse of the maximum value is calculated, and an exponential function with a natural constant as the base and the inverse as the exponent is obtained; the difference between 1 and the calculation result of the exponential function is used as the weight coefficient of the i-th amplitude signal in the horizontal vibration denoising sequence of the period where time t is located.
进一步,所述根据相邻周期的水平振动去噪序列、水平振动差分序列以及权重系数获取连续振幅差异指数,表达式为:Furthermore, the continuous amplitude difference index is obtained according to the horizontal vibration denoising sequence of adjacent periods, the horizontal vibration difference sequence and the weight coefficient, and the expression is:
式中,表示t时刻所在周期的水平振动去噪序列/>的连续振幅差异指数,/>表示获取一个周期内振幅信号的个数,/>为t时刻所在周期的水平振动去噪序列/>中第i个振幅信号的权重系数,/>为自然常数,/>表示t时刻所在周期的水平振动差分序列/>中的第i个元素,/>表示t时刻所在周期的前一个周期的水平振动差分序列/>中的第i个元素,/>表示水平振动去噪序列/>中所有振幅信号的过零率,/>表示水平振动去噪序列/>中所有振幅信号的过零率。In the formula, Represents the horizontal vibration denoising sequence of the period at time t/> The continuous amplitude difference index, /> Indicates the number of amplitude signals obtained within a cycle, /> is the horizontal vibration denoising sequence of the period at time t/> The weight coefficient of the i-th amplitude signal in ,/> is a natural constant, /> Represents the horizontal vibration difference sequence of the period at time t/> The i-th element in ,/> Represents the horizontal vibration difference sequence of the previous cycle of the cycle at time t/> The i-th element in ,/> Represents the horizontal vibration denoising sequence/> The zero-crossing rate of all amplitude signals in ,/> Represents the horizontal vibration denoising sequence/> The zero-crossing rate of all amplitude signals in .
进一步,所述根据各周期与其他各周期的水平振动去噪序以及连续振幅差异指数之间的差异获得振动异常特征差异,包括:Furthermore, the abnormal vibration characteristic difference is obtained according to the difference between the horizontal vibration denoising sequence of each cycle and other cycles and the continuous amplitude difference index, including:
将任一周期记为待分析周期记为待分析周期,计算待分析周期与其他各周期之间的水平振动去噪序列之间的余弦相似度,获取1与所述余弦相似度的和值;获取所述和值与预设限制因子之间的最大值;将待分析周期的水平振动去噪序列的连续振幅差异指数与所述最大值的比值,作为待分析周期与其他各周期之间的振动异常特征差异。Any period is recorded as the period to be analyzed, the cosine similarity between the period to be analyzed and the horizontal vibration denoising sequence of other periods is calculated, and the sum of 1 and the cosine similarity is obtained; the maximum value between the sum and the preset limiting factor is obtained; the ratio of the continuous amplitude difference index of the horizontal vibration denoising sequence of the period to be analyzed to the maximum value is taken as the vibration abnormality feature difference between the period to be analyzed and other periods.
进一步,所述根据相邻周期的振动异常特征差异之间的差异获得各周期的轴承水平异常振动置信度,包括:Further, obtaining the confidence level of abnormal vibration of the bearing in each cycle according to the difference between the abnormal vibration characteristics of adjacent cycles includes:
将任一周期记为待分析周期,将待分析周期之前预设数量个周期作为待分析周期的邻域周期;获取待分析周期与所有邻域周期之间的振动异常特征差异的和值和最大值;计算所述和值与最大值的差值,记为第一差值;计算待分析周期的邻域周期的数量与1的差值,记为第二差值,将第一差值与第二差值的比值作为待分析周期的轴承水平异常振动置信度。Any cycle is recorded as the cycle to be analyzed, and a preset number of cycles before the cycle to be analyzed are taken as the neighborhood cycles of the cycle to be analyzed; the sum and maximum values of the vibration abnormality characteristic differences between the cycle to be analyzed and all the neighboring cycles are obtained; the difference between the sum and the maximum value is calculated, recorded as the first difference; the difference between the number of neighboring cycles of the cycle to be analyzed and 1 is calculated, recorded as the second difference, and the ratio of the first difference to the second difference is taken as the confidence level of the abnormal vibration of the bearing horizontal of the cycle to be analyzed.
进一步,所述根据各周期的轴承水平异常振动置信度与轴承垂直异常振动置信度获取异常振动置信点,包括:Further, obtaining the abnormal vibration confidence point according to the bearing horizontal abnormal vibration confidence and the bearing vertical abnormal vibration confidence of each period includes:
以轴承水平异常振动置信度为横坐标,轴承垂直异常振动置信度为纵坐标,将各周期的轴承水平异常振动置信度与轴承垂直异常振动置信度所构成的坐标点记为各周期对应的异常振动置信点。With the bearing horizontal abnormal vibration confidence as the horizontal coordinate and the bearing vertical abnormal vibration confidence as the vertical coordinate, the coordinate points formed by the bearing horizontal abnormal vibration confidence and the bearing vertical abnormal vibration confidence of each period are recorded as the abnormal vibration confidence points corresponding to each period.
进一步,所述根据异常振动置信点获得当前时刻所在周期的振动异常检测结果,包括:Further, obtaining the vibration anomaly detection result of the cycle at the current moment according to the abnormal vibration confidence point includes:
对所有周期的异常振动置信点使用LOF异常检测算法进行异常检测,获得每个异常振动置信点的LOF离群因子;The LOF anomaly detection algorithm is used to perform anomaly detection on abnormal vibration confidence points of all cycles, and the LOF outlier factor of each abnormal vibration confidence point is obtained;
若当前时刻所在周期对应的异常振动置信点的LOF离群因子大于1时,则在当前时刻轴承的振动发生异常。If the LOF outlier factor of the abnormal vibration confidence point corresponding to the cycle at the current moment is greater than 1, the vibration of the bearing is abnormal at the current moment.
本发明至少具有如下有益效果:The present invention has at least the following beneficial effects:
本发明通过分析轴承在运转时,振动信号发生异常的情况,首先对小波变换中的阈值处理函数进行修改,对使用振动传感器采集的轴承振幅信号进行去噪,以准确地去除噪声的干扰;进一步使用水平振动去噪序列构建连续振幅差异指数,准确反映了连续轴承振幅信号间的差异,进而根据连续振幅差异指数构建振动异常特征差异,反映不同周期之间的振动异常特征的差异程度,以排除振动传感器异常以及环境因素的干扰。根据相邻周期之间的振动异常特征差异,构建轴承水平异常振动置信度,结合轴承垂直异常振动置信度对各周期的轴承异常振动进行检测,通过当前时刻所在周期的两个异常振动置信度的离群程度判断轴承是否发生异常,使得振动异常特征的鲁棒性更强。本发明结合振幅信号的特点,有效提高了对轴承异常振幅信号的异常监测的准确度。The present invention analyzes the abnormal situation of the vibration signal when the bearing is running. First, the threshold processing function in the wavelet transform is modified, and the bearing amplitude signal collected by the vibration sensor is denoised to accurately remove the interference of noise; further, the horizontal vibration denoising sequence is used to construct a continuous amplitude difference index, which accurately reflects the difference between continuous bearing amplitude signals, and then the vibration abnormality feature difference is constructed according to the continuous amplitude difference index to reflect the difference degree of vibration abnormality features between different cycles to eliminate the interference of vibration sensor abnormality and environmental factors. According to the difference of vibration abnormality features between adjacent cycles, the horizontal abnormal vibration confidence of the bearing is constructed, and the abnormal vibration of the bearing in each cycle is detected in combination with the vertical abnormal vibration confidence of the bearing. The degree of outlier of the two abnormal vibration confidences in the cycle at the current moment is used to judge whether the bearing is abnormal, so that the robustness of the vibration abnormality feature is stronger. The present invention combines the characteristics of the amplitude signal to effectively improve the accuracy of abnormal monitoring of the abnormal amplitude signal of the bearing.
附图说明BRIEF DESCRIPTION OF THE 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和优点,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的介绍,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它附图。In order to more clearly illustrate the technical solutions and advantages in the embodiments of the present invention or the prior art, the drawings required for use in the embodiments or the prior art descriptions are briefly introduced below. Obviously, the drawings described below are only some embodiments of the present invention. For ordinary technicians in this field, other drawings can be obtained based on these drawings without paying creative work.
图1为本发明提供的一种轴承异常振动监测方法的步骤流程图;FIG1 is a flow chart of the steps of a bearing abnormal vibration monitoring method provided by the present invention;
图2为轴承水平异常振动置信度的获取流程图。Figure 2 is a flow chart for obtaining the confidence level of abnormal bearing vibration.
具体实施方式Detailed ways
为了更进一步阐述本发明为达成预定发明目的所采取的技术手段及功效,以下结合附图及较佳实施例,对依据本发明提出的一种轴承异常振动监测方法,其具体实施方式、结构、特征及其功效,详细说明如下。在下述说明中,不同的“一个实施例”或“另一个实施例”指的不一定是同一实施例。此外,一或多个实施例中的特定特征、结构或特点可由任何合适形式组合。In order to further explain the technical means and effects adopted by the present invention to achieve the predetermined invention purpose, the following is a detailed description of the specific implementation method, structure, features and effects of a bearing abnormal vibration monitoring method proposed according to the present invention in combination with the accompanying drawings and preferred embodiments. In the following description, different "one embodiment" or "another embodiment" does not necessarily refer to the same embodiment. In addition, specific features, structures or characteristics in one or more embodiments may be combined in any suitable form.
除非另有定义,本文所使用的所有的技术和科学术语与属于本发明的技术领域的技术人员通常理解的含义相同。Unless defined otherwise, all technical and scientific terms used herein have the same meaning as commonly understood by one of ordinary skill in the art to which this invention belongs.
下面结合附图具体的说明本发明所提供的一种轴承异常振动监测方法的具体方案。The specific scheme of the bearing abnormal vibration monitoring method provided by the present invention is described in detail below with reference to the accompanying drawings.
本发明一个实施例提供的一种轴承异常振动监测方法,具体的,提供了如下的一种轴承异常振动监测方法,请参阅图1,该方法包括以下步骤:An embodiment of the present invention provides a bearing abnormal vibration monitoring method. Specifically, the following bearing abnormal vibration monitoring method is provided. Please refer to FIG1. The method includes the following steps:
步骤S001,采集轴承在水平方向和垂直方向上的振幅信号。Step S001, collecting amplitude signals of the bearing in the horizontal and vertical directions.
在轴承的水平方向和垂直方向上安装振动传感器,不断监测轴承在两方向上的振动情况。由于轴承的运行特性,振幅信号呈现出一定的周期性。获取轴承的转速为n圈每秒,则轴承旋转一周的时间为秒,将轴承旋转一周的时间作为一个周期,振动传感器在一个周期内采集的数据为zn个。将轴承在水平方向上的振幅信号记为X,垂直方向上的振幅信号记为Y。将水平方向t时刻所在周期的振幅信号所组成的序列记为水平周期振幅序列/>,垂直方向t时刻所在周期的振幅信号所组成的序列记为垂直周期振幅序列/>。Vibration sensors are installed in the horizontal and vertical directions of the bearing to continuously monitor the vibration of the bearing in both directions. Due to the operating characteristics of the bearing, the amplitude signal shows a certain periodicity. The speed of the bearing is n revolutions per second, and the time it takes for the bearing to rotate one circle is seconds, the time for the bearing to rotate once is considered as a cycle, and the vibration sensor collects zn data in one cycle. The amplitude signal of the bearing in the horizontal direction is recorded as X, and the amplitude signal in the vertical direction is recorded as Y. The sequence composed of the amplitude signals of the cycle at time t in the horizontal direction is recorded as the horizontal period amplitude sequence/> , the sequence of amplitude signals in the period at time t in the vertical direction is recorded as the vertical period amplitude sequence/> .
至此,获得每个时刻轴承在水平方向的水平周期振幅序列和垂直方向上的垂直周期振幅序列。At this point, the horizontal periodic amplitude sequence of the bearing in the horizontal direction and the vertical periodic amplitude sequence in the vertical direction are obtained at each moment.
步骤S002,对水平周期振幅序列进行去噪获得水平振动去噪序列;根据相邻周期的水平振动去噪序列中对应元素之间的差异获得连续振幅差异指数;根据水平振动去噪序以及连续振幅差异指数之间的差异获得各周期的轴承水平异常振动置信度,结合垂直方向上的垂直周期振幅序列获得异常振动置信点。Step S002, denoising the horizontal periodic amplitude sequence to obtain a horizontal vibration denoising sequence; obtaining a continuous amplitude difference index based on the difference between corresponding elements in the horizontal vibration denoising sequence of adjacent periods; obtaining the confidence level of abnormal bearing vibration in each period based on the difference between the horizontal vibration denoising sequence and the continuous amplitude difference index, and obtaining the abnormal vibration confidence point in combination with the vertical periodic amplitude sequence in the vertical direction.
轴承作为关键的机械部件,有着较强的实用性。轴承振幅信号作为表征轴承运行状态的信息数据,隐含着机械部件是正常运行的关键信息。本实施例旨在根据相邻周期之间的振幅信号的特征差异获取轴承水平异常振动置信度,判断轴承的异常情况,具体流程如图2所示。在正常情况下,各个周期内的振幅信号趋势相同。为准确反映出振幅信号的趋势特征,使用小波变换去除原始振动数据中的噪声,小波变换是一种分析信号分解方法,克服了傅里叶变换对局部分析和非平稳信号能力弱的缺点。由于轴承的振动存在循环反复的特点,在小波变换中使用morlet小波函数,使用小波变换对t时刻所在周期的水平周期振幅序列进行去噪主要包括信号分解,阈值处理和重构信号三个步骤。小波变化将振幅信号分解为多个尺度的子数据,本发明进行3层小波分解,分解后得到三个尺度的细节系数序列,/>,/>。定义阈值选择函数:As a key mechanical component, the bearing has strong practicality. The bearing amplitude signal, as information data characterizing the operating status of the bearing, implies the key information that the mechanical component is operating normally. This embodiment aims to obtain the confidence level of abnormal horizontal vibration of the bearing based on the characteristic difference of the amplitude signal between adjacent cycles, and judge the abnormal condition of the bearing. The specific process is shown in Figure 2. Under normal circumstances, the amplitude signal trend in each cycle is the same. In order to accurately reflect the trend characteristics of the amplitude signal, wavelet transform is used to remove noise from the original vibration data. Wavelet transform is a signal decomposition analysis method that overcomes the shortcomings of Fourier transform for local analysis and non-stationary signals. Due to the cyclic and repetitive characteristics of bearing vibration, the morlet wavelet function is used in the wavelet transform, and the wavelet transform is used to analyze the horizontal periodic amplitude sequence of the period at time t. Denoising mainly includes three steps: signal decomposition, threshold processing and signal reconstruction. Wavelet transform decomposes the amplitude signal into sub-data of multiple scales. The present invention performs three-layer wavelet decomposition to obtain detail coefficient sequences of three scales. ,/> ,/> . Define the threshold selection function:
上式中,表示/>经过阈值处理后的细节系数,Q表示阈值选择函数,/>为细节系数阈值,本实施例设为1.5,a为去噪因子,本实施例设为0.07,/>为细节系数序列中的第i个细节系数;/>为正切函数。In the above formula, Indicates/> The detail coefficient after threshold processing, Q represents the threshold selection function, /> is the detail coefficient threshold, which is set to 1.5 in this embodiment, a is the denoising factor, which is set to 0.07 in this embodiment, /> is the detail coefficient sequence The i-th detail coefficient in; /> is the tangent function.
上式对水平周期振幅序列使用小波变换,通过一种半软阈值的选择函数,避免了由于阈值点存在阶跃,从而造成去噪序列重构不佳的现象。使用振动传感器采集到的轴承振幅信号是真实振幅信号和噪声的和,在小波域上有效的振动信号对应的细节系数较大,而噪声高频信号对应的细节系数较小,因此通过阈值选择函数,去除轴承振幅信号中的高频噪声。The above formula uses wavelet transform for the horizontal periodic amplitude sequence, and avoids the phenomenon of poor reconstruction of the denoised sequence due to the presence of steps at the threshold point through a semi-soft threshold selection function. The bearing amplitude signal collected by the vibration sensor is the sum of the true amplitude signal and the noise. The detail coefficient corresponding to the effective vibration signal in the wavelet domain is large, while the detail coefficient corresponding to the high-frequency noise signal is small. Therefore, the high-frequency noise in the bearing amplitude signal is removed through the threshold selection function.
对各细节系数序列经过阈值处理后的细节系数,通过小波变换中的逆变换获得t时刻所在周期的水平振动去噪序列。The detail coefficients of each detail coefficient sequence after threshold processing are used to obtain the horizontal vibration denoising sequence of the period at time t through the inverse transform in wavelet transform. .
对于正常运转的轴承,其振幅信号的去噪序列趋势是相似的,即轴承的上下振动发生在周期内的相同时间。传统的欧式距离没有考虑到振幅信号的特点以及趋势的变化,并不能准确反映轴承振幅信号的相似情况,将t时刻所在周期的水平振动去噪序列的一阶差分序列作为t时刻所在周期的水平振动差分序列/>,由此定义连续振幅差异指数:For a bearing in normal operation, the denoising sequence trend of its amplitude signal is similar, that is, the up and down vibrations of the bearing occur at the same time in the cycle. The traditional Euclidean distance does not take into account the characteristics of the amplitude signal and the change of the trend, and cannot accurately reflect the similarity of the bearing amplitude signal. The first-order difference sequence of is taken as the horizontal vibration difference sequence of the period at time t/> , which defines the continuous amplitude difference index:
式中,表示t时刻所在周期的水平振动去噪序列/>的连续振幅差异指数,/>表示一个周期内振幅信号的个数,/>为t时刻所在周期的水平振动去噪序列中第i个振幅信号的权重系数,e为自然常数,/>表示以自然常数为底的指数函数,表示取最大值,/>表示t时刻所在周期的的水平振动去噪序列中第i个振幅信号,表示t时刻所在周期的前一个周期的水平振动去噪序列中第i个振幅信号,/>表示t时刻所在周期的水平振动差分序列/>中的第i个元素,反映了水平振动去噪序列中第i个振幅信号的变化趋势,/>表示t时刻所在周期的前一个周期的水平振动差分序列/>中的第i个元素,/>表示t时刻所在周期的水平振动去噪序列中所有振幅信号的过零率,过零率的计算为公知技术,不再赘述。In the formula, Represents the horizontal vibration denoising sequence of the period at time t/> The continuous amplitude difference index, /> Indicates the number of amplitude signals in one cycle, /> is the horizontal vibration denoising sequence of the period at time t The weight coefficient of the i-th amplitude signal in , e is a natural constant, /> represents an exponential function with a natural constant as base, Indicates taking the maximum value, /> Represents the i-th amplitude signal in the horizontal vibration denoising sequence of the period at time t, represents the i-th amplitude signal in the horizontal vibration denoising sequence of the previous cycle of the cycle at time t,/> Represents the horizontal vibration difference sequence of the period at time t/> The i-th element in reflects the changing trend of the i-th amplitude signal in the horizontal vibration denoising sequence. Represents the horizontal vibration difference sequence of the previous cycle of the cycle at time t/> The i-th element in ,/> It represents the zero-crossing rate of all amplitude signals in the horizontal vibration denoising sequence of the period at time t. The calculation of the zero-crossing rate is a well-known technology and will not be described in detail.
上式通过振幅信号的大小赋予轴承振动去噪序列不同的权重系数,进而根据振动的趋势和数值大小来计算轴承振幅信号的距离。由于轴承振动去噪序列呈现出上下振动的特点,因此更关注产生振动时的数据,在上式中的权重系数,在振动较大的数据点权重系数较大,而在位于零点附近较为平稳的振幅信号权重系数较小。当振动去噪序列的振动趋势一致时,其差分值相差较小,当振动趋势不一致时,如/>为正值,而/>为负值表示在周期中同一位置振动的方向不同,此时的误差是难以接受的,通过对平方的操作来增大该情况下的误差。当振幅信号相似时,其变换趋势相同,导致其振幅信号的差分值相差较小,其过零率相近分母近似为1,整体连续振幅差异指数较小。综上,两个周期之间的连续振幅差异指数cdis越小,表示振幅信号越相似,轴承发生异常振动的概率小。The above formula assigns different weight coefficients to the bearing vibration denoising sequence according to the size of the amplitude signal, and then calculates the distance of the bearing amplitude signal according to the trend and value of the vibration. Since the bearing vibration denoising sequence shows the characteristics of up and down vibration, it pays more attention to the data when vibration occurs. The weight coefficient in the above formula is , the weight coefficient is larger at the data point with larger vibration, while the weight coefficient is smaller for the amplitude signal which is relatively stable near the zero point. When the vibration trends are consistent, the difference between the difference values is small. When the vibration trends are inconsistent, such as / > is a positive value, and /> A negative value indicates that the vibration direction at the same position in the cycle is different. The error in this case is unacceptable. The error in this case is increased by the square operation. When the amplitude signals are similar, their transformation trends are the same, resulting in a small difference in the difference in the amplitude signals, a similar zero-crossing rate, and a denominator approximately equal to 1, and a small overall continuous amplitude difference index. In summary, the smaller the continuous amplitude difference index cdis between two cycles, the more similar the amplitude signals are, and the smaller the probability of abnormal vibration of the bearing.
为了方便监测轴承振动的异常,进一步根据连续振幅差异指数,构建振动异常特征差异:In order to facilitate the monitoring of bearing vibration abnormalities, the vibration abnormality feature difference is further constructed based on the continuous amplitude difference index:
上式中,表示周期u与周期v之间的振动异常特征差异,/>表示周期u的水平振动去噪序列,/>表示周期v的水平振动去噪序列,/>表示水平振动去噪序列/>与/>之间的连续振幅差异指数,/>为余弦相似度函数,/>表示限制因子,用于限制分母的最大值,设为0.1。In the above formula, Indicates the difference in vibration abnormality characteristics between period u and period v, /> represents the horizontal vibration denoising sequence of period u,/> represents the denoised sequence of horizontal vibrations with period v,/> Represents the horizontal vibration denoising sequence/> With/> The index of the difference between the consecutive amplitudes, /> is the cosine similarity function,/> Represents the limiting factor, which is used to limit the maximum value of the denominator and is set to 0.1.
上式通过根据连续振幅差异指数,进一步结合余弦相似性,构建了振动异常特征差异,由于余弦相似性的值域[-1,1]之间,通过对余弦相似性加1的方式使得分母的值域映射到[0,2]之间。当周期u与相邻周期的水平方向的振幅信号相似时,连续振幅差异指数较小,此时两周期的振动去噪序列的余弦相似性接近于1,异常特征/>的分母接近2,说明周期v与周期u的异常情况越相似,使得整体的振动异常特征较小。同时为了防止两振动去噪序列极其不相似,从而导致余弦相似性近似于-1,分母接近于零造成的异常特征无限大的情况,使用取最大值和限制因子/>来限制异常特征分母的最小值。The above formula constructs the vibration abnormality feature difference by combining the continuous amplitude difference index and cosine similarity. Since the value range of cosine similarity is between [-1, 1], the value range of the denominator is mapped to [0, 2] by adding 1 to the cosine similarity. When the amplitude signal of the period u is similar to the horizontal direction of the adjacent period, the continuous amplitude difference index Small, at this time the cosine similarity of the two-cycle vibration denoising sequence is close to 1, abnormal characteristics/> The closer the denominator is to 2, the more similar the abnormalities of period v and period u are, which makes the overall vibration abnormality smaller. At the same time, in order to prevent the two vibration denoising sequences from being extremely dissimilar, resulting in the cosine similarity being close to -1 and the denominator being close to zero, which causes the abnormality to be infinite, the maximum value and the limiting factor are used. To limit the minimum value of the denominator of abnormal features.
上述通过当前水平振动去噪序列与前一周期水平振动去噪序列的对比,进而计算得到轴承一个振动周期的振动异常特征,然而在实际情况下一个周期的振动异常可能是由于振动传感器偶尔异常,而不是轴承的异常导致。当连续存在多个振动异常特征差异较大时,才为轴承的异常振动。因此需要根据多个振动周期的振动异常特征判断异常程度,将t时刻所在周期之前的u个周期记为t时刻所在周期的邻域周期,本实施例中u为3个周期,构建轴承水平异常振动置信度:The above method compares the current horizontal vibration denoising sequence with the previous cycle's horizontal vibration denoising sequence, and then calculates the vibration abnormality characteristics of a vibration cycle of the bearing. However, in actual situations, the vibration abnormality of a cycle may be due to occasional abnormality of the vibration sensor, rather than an abnormality of the bearing. Only when there are multiple consecutive vibration abnormality characteristics with large differences, it is an abnormal vibration of the bearing. Therefore, it is necessary to judge the degree of abnormality based on the vibration abnormality characteristics of multiple vibration cycles, and record the u cycles before the cycle at time t as the neighborhood cycle of the cycle at time t. In this embodiment, u is 3 cycles, and the confidence level of abnormal vibration of the bearing is constructed. :
上式中,表示t时刻所在周期的轴承水平异常振动置信度,u表示邻域周期的数量,/>表示t时刻所在周期与t时刻所在周期的前i个周期之间的振动异常特征差异,/>表示取最大值函数。In the above formula, represents the confidence level of abnormal vibration of the bearing at the cycle at time t, u represents the number of neighboring cycles, /> Indicates the difference in vibration abnormality characteristics between the cycle at time t and the i cycles before the cycle at time t, /> Represents the maximum value function.
上式异常振动置信度通过去除最大振动异常特征差异的方式,来避免由于振动传感器的偶尔异常导致的监测到单个较大的振动异常特征的现象。当t时刻所在周期与某个周期之间的振动异常特征较大时,可能由于振动传感器异常导致,在异常振动置信度中的分母减去最大的异常特征,并取均值,以此来保持异常振动置信度的相对稳定,鲁棒性更强。The abnormal vibration confidence in the above formula avoids the phenomenon of monitoring a single large vibration abnormal feature due to occasional abnormality of the vibration sensor by removing the difference of the maximum vibration abnormal feature. When the vibration abnormal feature between the cycle at time t and a certain cycle is large, it may be caused by the abnormality of the vibration sensor. The denominator in the abnormal vibration confidence is subtracted from the maximum abnormal feature and the average is taken to keep the abnormal vibration confidence relatively stable and more robust.
至此,根据轴承在水平方向的振幅信号,得到每个周期的轴承水平异常振动置信度,同理,根据轴承在垂直方向上的振幅信号计算得到轴承垂直异常振动置信度,轴承垂直异常振动置信度的获取方法与轴承水平异常振动置信度的获取方法是相同的。以轴承水平异常振动置信度为横坐标,轴承垂直异常振动置信度为纵坐标,将各周期的两个异常振动置信度映射到二维平面中,其中t时刻所在周期的轴承水平异常振动置信度与轴承垂直异常振动置信度/>所构成的坐标点/>称为t时刻所在周期对应的异常振动置信点。At this point, the horizontal abnormal vibration confidence of the bearing in each cycle is obtained according to the amplitude signal of the bearing in the horizontal direction. Similarly, the vertical abnormal vibration confidence of the bearing is calculated according to the amplitude signal of the bearing in the vertical direction. The method for obtaining the vertical abnormal vibration confidence of the bearing is the same as the method for obtaining the horizontal abnormal vibration confidence of the bearing. With the horizontal abnormal vibration confidence of the bearing as the horizontal coordinate and the vertical abnormal vibration confidence of the bearing as the vertical coordinate, the two abnormal vibration confidences of each cycle are mapped to a two-dimensional plane, where the horizontal abnormal vibration confidence of the bearing in the cycle at time t is Confidence level of abnormal vibration perpendicular to the bearing/> The coordinate points formed It is called the abnormal vibration confidence point corresponding to the period at time t.
步骤S003,根据所有周期的异常振动置信点获得当前时刻所在周期的振动异常检测结果。Step S003, obtaining the vibration anomaly detection result of the cycle at the current moment according to the abnormal vibration confidence points of all cycles.
在轴承正常运行的情况下,获取连续检测的所有周期的异常振动置信点,对所有周期的异常振动置信点,使用LOF算法进行异常检测,若当前时刻所在周期对应的异常振动置信点的离群因子大于1,则认为是轴承的振动发生异常。LOF异常检测算法的具体流程为公知技术,不再赘述。When the bearing is operating normally, obtain the abnormal vibration confidence points of all cycles of continuous detection, and use the LOF algorithm to perform abnormal detection on the abnormal vibration confidence points of all cycles. If the outlier factor of the abnormal vibration confidence point corresponding to the cycle at the current moment is greater than 1, it is considered that the vibration of the bearing is abnormal. The specific process of the LOF abnormal detection algorithm is a well-known technology and will not be repeated here.
需要说明的是:上述本发明实施例先后顺序仅仅为了描述,不代表实施例的优劣。且上述对本说明书特定实施例进行了描述。另外,在附图中描绘的过程不一定要求示出的特定顺序或者连续顺序才能实现期望的结果。在某些实施方式中,多任务处理和并行处理也是可以的或者可能是有利的。It should be noted that the sequence of the above embodiments of the present invention is only for description and does not represent the advantages and disadvantages of the embodiments. The above is a description of a specific embodiment of this specification. In addition, the processes depicted in the accompanying drawings do not necessarily require the specific order or continuous order shown to achieve the desired results. In some embodiments, multitasking and parallel processing are also possible or may be advantageous.
本说明书中的各个实施例均采用递进的方式描述,各个实施例之间相同或相似的部分互相参见即可,每个实施例重点说明的都是与其他实施例的不同之处。The various embodiments in this specification are described in a progressive manner, and the same or similar parts between the various embodiments can be referenced to each other, and each embodiment focuses on the differences from other embodiments.
以上所述实施例仅用以说明本申请的技术方案,而非对其限制;对前述各实施例所记载的技术方案进行修改,或者对其中部分技术特征进行等同替换,并不使相应技术方案的本质脱离本申请各实施例技术方案的范围,均应包含在本申请的保护范围之内。The embodiments described above are only used to illustrate the technical solutions of the present application, rather than to limit them. Modifications to the technical solutions recorded in the aforementioned embodiments, or equivalent replacement of some of the technical features therein, do not cause the essence of the corresponding technical solutions to deviate from the scope of the technical solutions of the embodiments of the present application, and should all be included in the protection scope of the present application.
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