CN112036353A - Collaborative filtering bearing current damage fault identification method based on memory - Google Patents
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Abstract
The invention discloses a collaborative filtering bearing current damage fault identification method based on a memory, which comprises the following steps: 1) constructing a joint scoring matrix for bearing state identification; 2) and calculating the bearing state prediction score of the fault data in the bearing state recognition combined scoring matrix according to the training data in the bearing state recognition combined scoring matrix and by combining multiple similarity measurement indexes. The method applies the collaborative filtering recommendation system to the fault identification of the bearing current damage, has simple steps, is easy to realize, and can effectively identify the fault of the bearing current damage.
Description
Technical Field
The invention relates to the field of bearing fault diagnosis, in particular to a collaborative filtering bearing current damage fault identification method based on a memory.
Background
The method separates essential characteristics and other interference parts existing in the fault signal, deeply excavates fault characteristic values, and obtains effective characteristic information from the fault signal as much as possible, so that the method is a core target of fault diagnosis. Because the current damage process of the bearing is a slow and complex process, the signal of the current damage fault is weak and very stable, in order to obtain comprehensive and complete monitoring data, more sensors are often selected for monitoring the current damage fault, so that the density of the sensor arrangement is increased sharply, the monitoring time is also prolonged, and the amount of the faced monitoring data shows explosive increase. In addition, complex additional interference and noise exist in the monitoring process, and the extracted monitoring data are more and more complex. It has become increasingly difficult to extract fault features from fault signals using classical time-frequency domain analysis with limitations, empirical mode decomposition and wavelet decomposition.
With the rapid development of the internet technology, the collaborative filtering recommendation system is also continuously improved and matured as an effective method for solving the problem of information overload, and is widely applied. The collaborative filtering follows the basic assumption that the information demands of users with the same or similar interest preferences are similar when the problem of internet information overload is solved, and the ' crowd ' intelligence ' is fully utilized to filter and screen information. The collaborative filtering recommendation algorithm has the advantages of strong information processing and screening capability, high processing efficiency and the like, provides a good idea for processing massive bearing current damage monitoring data, and opens up a new research direction for fault diagnosis of mechanical equipment.
Collaborative filtering can be generally divided into two categories, Memory-Based (Memory-Based) and Model-Based (Model-Based). And selecting a part of neighbor users with similar interests for the target user based on the collaborative filtering of the memory, and predicting the rating value of the target user to the project according to the rating of the neighbor users. And (3) learning to obtain a complex model according to the training set data based on the model collaborative filtering, and then deducing the scoring value of the target user on the unscored items based on the model and the scored data of the target user. However, the collaborative filtering recommendation system is established on the corresponding scoring matrix, and for the identification of the rolling bearing state, no specific scoring rule exists, and the corresponding scoring matrix cannot be established.
Disclosure of Invention
In order to solve the technical problems, the invention provides a collaborative filtering bearing current damage fault identification method based on a memory, which is simple in algorithm and high in diagnosis precision.
The technical scheme for solving the problems is as follows: a collaborative filtering bearing current damage fault identification method based on a memory is characterized by comprising the following steps:
1) constructing a joint scoring matrix for bearing state identification;
2) and calculating the bearing state prediction score of the fault data in the bearing state recognition combined scoring matrix according to the training data in the bearing state recognition combined scoring matrix and by combining multiple similarity measurement indexes.
In the above method for identifying the current damage fault of the collaborative filtering bearing based on the memory, in the step 1), it is assumed that there are vibration signal data S of u groups of rolling bearings(1),…,S(h),S(h+1),…,S(u)And these rolling bearings exist in v different types of states z(1),z(2),…,z(v)The previous h sets of training data S are known(1),…,S(h)If the existing state exists, the concrete steps in the step 1) are as follows:
(1-1) the ith group of signal data S(i)I ═ 1, …, h, h +1, …, u; decomposing into a layer by the existing wavelet packet technology to obtain b-2a1 sub-band, then the total signal S of the ith set of signal data(i)Expressed as follows:
whereinMeans that the i-th group of signal data is decomposed into the signal of the b-th sub-band after the a-layerCorresponding energy isw is 0, 1, …, b; the ith group of signal data is decomposed into energy of w sub-band after a layerComprises the following steps:
total energy E of ith group of signal data(i)Comprises the following steps:
construction of S by energy(i)Normalized feature vector T of(i)The following were used:
whereinRepresenting the result of dividing the w energy of the sub-band after the i-th group of signal data is decomposed into a layer a by the total energy of the i-th group of signal data,
according to the feature vector T(i)Obtaining a bearing feature scoring matrixAs shown in the following formula:
wherein R represents a real number set;
(1-2) obtaining a bearing state scoring matrix according to the corresponding state of the bearingAs shown in the following formula:
for training data S(1),S(2),…,S(h)Their corresponding existing known status scores are given a maximum value of 1, while the non-existing status scores are given a small value of ≦ 1/10000, for test data S(i′)I' ═ h +1, …, u; its corresponding state Z(t)Is not known to give a zero value, and is recorded ast=1,…,v;
(1-3) combining the bearing characteristic scoring matrix A and the bearing state scoring matrix B to obtain a joint scoring matrix C for bearing state identification:
In the method for identifying the current damage fault of the collaborative filtering bearing based on the memory, in the step 2), the training data are from the h +1 th row to the u th row of the joint scoring matrix C, and the testing data are from the 1 st row to the h th row of the joint scoring matrix C;
the following assumptions are made: if the bearing data of the fault i has a higher feature score in a certain energy section relative to the feature scores of other energy sections, and if unknown new bearing data also has a higher feature score in the certain energy section compared with other energy sections of the unknown new bearing data, the unknown new bearing data is considered to have the fault i, and according to the assumption, the bearing states of the test data with unknown states are estimated by using the known training data, and the specific steps are as follows:
(2-1) scoring by bearing characteristics, and calculating test data S by adopting cosine similarity(i′)With each training data S(h +1),…,S(u)Similarity of (2):
simcos(S(i′),S(h+1)),…,simcos(S(i′),S(u))
wherein, simcos(S(i′),S(h+1)) Represents the test data S(i′)And training data S(h+1)Cosine similarity of (d);
(2-2) taking the first N groups of training data with highest similarityAnd recording it with S(i′)The similarity of (A) is as follows:
(2-3) training data with the training dataBearing condition scoring ofOn the basis of which test data S are calculated(i′)To state Z(t)Predictive scoring of
(2-4) repeating the steps (2-1) - (2-3) by adopting the similarity based on the Euclidean distance to obtain test data S(i′)To state Z(t)Predictive scoring of
(2-5) repeating the steps (2-1) - (2-3) by adopting the Pearson correlation coefficient to obtain test data S(i′)To state Z(t)Predictive scoring of
(2-6) comparing each test data separatelyAndprediction scores, the highest of which is test data S(i′)To state Z(t)Predictive scoring of
In the memory-based collaborative filtering bearing current damage fault identification method, in the step (2-1), the cosine similarity takes the score of each user as a point in an n-dimensional space, and the similarity between the cosine similarity and the point in the n-dimensional space is measured on the basis of the point; taking a vector in a three-dimensional space as an example, if two points in the space respectively represent scores of two users, respectively connecting the two points with an origin point can form two vectors; the similarity between the users is closely related to the relationship between the two vectors, the included angle between the vectors substantially determines the similarity between the two vectors, namely the two users, the smaller the included angle is, the more similar the two vectors are, the higher the similarity is, and vice versa; the cosine of the included angle is used as a numerical value for similarity comparison, the magnitude of the numerical value reflects the degree of similarity, and the value of the numerical value is between-1 and 1; the cosine similarity is calculated by the following formula:
wherein m represents the number of the vector, X1Represents a first vector, X2Represents a second vector; xmRepresenting a point in an n-dimensional space, i.e. an n-dimensional vector.
In the memory-based collaborative filtering bearing current damage fault identification method, in the step (2-4), the similarity based on the Euclidean distance takes the score of each user as a point in an n-dimensional space, and the similarity between the users is measured by using the Euclidean distance between vectors; the Euclidean distance between two user vector coordinates is calculated according to the following formula:
in order to reflect the positive correlation of the similarity, when the method is actually used, the calculated Euclidean distance is subjected to certain deformation to be used as the value of the final similarity, and the similarity calculation formula based on the Euclidean distance is as follows:
the more similar between two users the larger the value, the limit is 1, representing that the preferences of both users are identical.
In the above method for identifying the current damage fault of the collaborative filtering bearing based on the memory, in the step (2-5), the pearson correlation coefficient is a classical similarity estimation method in mathematical statistics, and the calculation method thereof is as follows:
from the above formula, the value of the similarity value is between-1 and 1, the higher the absolute value of the value is, the higher the linear correlation is, the limits 1 and-1 represent complete positive correlation or negative correlation, and the value of 0 represents no linear correlation.
The invention has the beneficial effects that:
1. firstly, constructing a joint scoring matrix for bearing state identification, namely obtaining a bearing characteristic scoring matrix according to wavelet sub-band energy, designing a scoring matrix for accurately describing a bearing state, and combining scores of the two different characteristics to obtain the joint scoring matrix for bearing state identification; and then, calculating bearing state prediction scores of fault data in the bearing state recognition combined scoring matrix according to training data in the bearing state recognition combined scoring matrix and in combination with multiple similarity measurement indexes. The method applies the collaborative filtering recommendation system to the fault identification of the bearing current damage, has simple steps, is easy to realize, and can effectively identify the fault of the bearing current damage.
2. The invention utilizes the characteristic of 'information filtering' of a collaborative filtering algorithm to give full play to 'intelligence' of data. Compared with the traditional fault diagnosis method, the method has the advantages that firstly, the expansibility of a diagnosis model is strong, new fault data can be added into a scoring matrix in time to enhance the recognition accuracy of the algorithm, and therefore, the method is suitable for diagnosing the bearing fault with relatively large data volume; secondly, the control parameters of the algorithm are few, and the algorithm is easy to adjust in time in the diagnosis process; and finally, the calculation formula of the similarity is simple, and the calculation amount of the algorithm is small.
Drawings
FIG. 1 is a flow chart of the present invention.
Detailed Description
The invention is further described below with reference to the accompanying drawings and examples.
As shown in fig. 1, a method for identifying a current damage fault of a collaborative filtering bearing based on a memory is characterized by comprising the following steps:
1) and constructing a joint scoring matrix for bearing state identification.
Vibration signal data S for supposing u groups of rolling bearings(1),…,S(h),S(h+1),…,S(u)And these rolling bearings exist in v different types of states z(1),z(2),…,z(v)The previous h sets of training data S are known(1),…,S(h)If the existing state exists, the concrete steps in the step 1) are as follows:
(1-1) the ith group of signal data S(i)I ═ 1, …, h, h +1, …, u; decomposing into a layer by the existing wavelet packet technology to obtain b-2a1 sub-band, then the total signal S of the ith set of signal data(i)Expressed as follows:
whereinMeans that the i-th group of signal data is decomposed into the signal of the b-th sub-band after the a-layerCorresponding energy isw is 0, 1, …, b; the ith group of signal data is decomposed into energy of w sub-band after a layerComprises the following steps:
total energy E of ith group of signal data(i)Comprises the following steps:
construction of S by energy(i)Normalized feature vector T of(i)The following were used:
whereinRepresenting the result of dividing the w energy of the sub-band after the i-th group of signal data is decomposed into a layer a by the total energy of the i-th group of signal data,
according to the feature vector T(i)Designing a bearing characteristic scoring table as shown in table 1, and obtaining a bearing characteristic scoring matrixR represents a real number set as shown in the following formula:
TABLE 1
(1-2) designing a bearing state rating table according to the corresponding state of the bearing, as shown in Table 2And obtaining a bearing state scoring matrixAs shown in the following formula:
TABLE 2
For training data S(1),S(2),…,S(h)Their corresponding existing known status scores are given a maximum value of 1, while the non-existing status scores are given a small value of ≦ 1/10000, for test data S(i′)I' ═ h +1, …, u; its corresponding state Z(t)Is not known to give a zero value, and is recorded ast=1,…,v:
(1-3) combining the bearing characteristic scoring matrix A and the bearing state scoring matrix B to obtain a joint scoring matrix C for bearing state identification:
2) And calculating the bearing state prediction score of the fault data in the bearing state recognition combined scoring matrix according to the training data in the bearing state recognition combined scoring matrix and by combining multiple similarity measurement indexes. Each column is data, training data are h +1 th column to u th column of the joint scoring matrix C, and testing data are 1 st column to h th column of the joint scoring matrix C.
The important item in the TOP-N recommendation algorithm based on the memory is the similarity measurement, and firstly, three methods for measuring the similarity adopted by the invention are introduced.
a) Cosine similarity:
cosine similarity measures the similarity between each user based on their score as a point in n-dimensional space. Taking the vector in three-dimensional space as an example, if two points in the space respectively represent the scores of two users, then connecting the two points with the origin respectively forms two vectors. The similarity between users is closely related to the relationship between the two vectors, the included angle between the vectors substantially determines the similarity between the two vectors, i.e. the two users, and the smaller the included angle is, the more similar the two vectors are, the higher the similarity is, and vice versa. In practice, the cosine of the included angle is used as a numerical value for similarity comparison, the magnitude of the numerical value reflects the degree of similarity, and the value of the numerical value is between-1 and 1. The cosine similarity is calculated by the following formula:
wherein m represents the number of the vector, X1Represents a first vector, X2Represents a second vector; xmRepresenting a point in an n-dimensional space, i.e. an n-dimensional vector.
b) Similarity based on Euclidean distance:
similar to cosine similarity, similarity based on Euclidean distance takes the score of each user as a point in n-dimensional space, except that the Euclidean distance between vectors is used for measuring the similarity between users. The Euclidean distance calculation method between two user vector coordinates is shown as the following formula:
however, in order to reflect the positive correlation of the similarity, in practical use, a certain deformation is performed on the calculated euclidean distance as the final similarity value, and the similarity calculation formula based on the euclidean distance is shown as the following formula:
the more similar between two users the larger the value, the limit is 1, representing that the preferences of both users are identical.
c) Pearson correlation coefficient:
the pearson correlation coefficient is a classical similarity estimation method in mathematical statistics, and can fully evaluate the linear relationship between two vectors, and the calculation method is shown as the following formula:
in the formula, the value of the similarity value is between-1 and 1, the higher the absolute value of the value is, the higher the linear correlation is, the limits 1 and-1 represent complete positive correlation or negative correlation, and the value of 0 represents no linear correlation.
The following assumptions are made in this application: if the bearing data of the fault i has a higher feature score in a certain energy section relative to the feature scores of other energy sections, and if unknown new bearing data also has a higher feature score in the energy section compared with other energy sections of the unknown new bearing data, the unknown new bearing data is considered to have the fault i, and according to the assumption, the known training data is used for estimating the bearing state of the test data with unknown state. Based on the constructed joint scoring matrix for bearing state identification, the aim is to obtain test data S(i′)To state Z(t)Predictive scoring ofThe method comprises the following specific steps:
(2-1) scoring by bearing characteristics, and calculating test data S by adopting cosine similarity(i′)With each training data S(h +1),…,S(u)Similarity of (2):
simcos(S(i′),S(h+1)),…,simcos(S(i′),S(u))
wherein, simcos(S(i′),S(h+1)) Represents the test data S(i′)And training data S(h+1)Cosine similarity of (d);
(2-2) taking the first N groups of training data with highest similarityAnd recording it with S(i′)The similarity of (A) is as follows:
(2-3) training data with the training dataBearing condition scoring ofOn the basis of the above-mentioned raw materials,is part of C (first to h columns, rows b +2 to d), the subscripts thereon all giving definitions as given above: t is 1, …, v; t is t1,…,tNRepresenting training data; calculating test data S(i′)To state Z(t)Predictive scoring of
(2-4) repeating the steps (2-1) - (2-3) by adopting the similarity based on the Euclidean distance to obtain test data S(i′)To state Z(t)Predictive scoring of
(2-5) repeating the steps (2-1) - (2-3) by adopting the Pearson correlation coefficient to obtain test data S(i′)To state Z(t)Predictive scoring of
(2-6) comparing each test data separatelyAndprediction scores, the highest of which is test data S(i′)To state Z(t)Predictive scoring of
Claims (6)
1. A collaborative filtering bearing current damage fault identification method based on a memory is characterized by comprising the following steps:
1) constructing a joint scoring matrix for bearing state identification;
2) and calculating the bearing state prediction score of the fault data in the bearing state recognition combined scoring matrix according to the training data in the bearing state recognition combined scoring matrix and by combining multiple similarity measurement indexes.
2. The memory-based collaborative filtering bearing current damage fault identification method according to claim 1, wherein in the step 1), it is assumed thatVibration signal data S of u groups of rolling bearings(1),…,S(h),S(h+1),…,S(u)And these rolling bearings exist in v different types of states z(1),z(2),…,z(v)The previous h sets of training data S are known(1),…,S(h)If the existing state exists, the concrete steps in the step 1) are as follows:
(1-1) the ith group of signal data S(i)I ═ 1, …, h, h +1, …, u; decomposing into a layer by the existing wavelet packet technology to obtain b-2a1 sub-band, then the total signal S of the ith set of signal data(i)Expressed as follows:
whereinMeans that the i-th group of signal data is decomposed into the signal of the b-th sub-band after the a-layerCorresponding energy isw is 0, 1, …, b; the ith group of signal data is decomposed into energy of w sub-band after a layerComprises the following steps:
total energy E of ith group of signal data(i)Comprises the following steps:
construction of S by energy(i)Normalized feature vector T of(i)The following were used:
wherein Representing the result of dividing the w energy of the sub-band after the i-th group of signal data is decomposed into a layer a by the total energy of the i-th group of signal data,
according to the feature vector T(i)Obtaining a bearing feature scoring matrixAs shown in the following formula:
wherein R represents a real number set;
(1-2) obtaining a bearing state scoring matrix according to the corresponding state of the bearingAs shown in the following formula:
for training data S(1),S(2),…,S(h)Their corresponding existing known status scores are given a maximum value of 1, while the non-existing status scores are given a small value of ≦ 1/10000, for test data S(i′)I' ═ h +1, …, u; its corresponding state Z(t)Is not known to give a zero value, and is recorded ast=1,…,v;
(1-3) combining the bearing characteristic scoring matrix A and the bearing state scoring matrix B to obtain a joint scoring matrix C for bearing state identification:
3. The method for identifying the current damage fault of the collaborative filtering bearing based on the memory according to claim 2, wherein in the step 2), training data are from h +1 th column to u th column of a joint scoring matrix C, and testing data are from 1 st column to h th column of the joint scoring matrix C;
the following assumptions are made: if the bearing data of the fault i has a higher feature score in a certain energy section relative to the feature scores of other energy sections, and if unknown new bearing data also has a higher feature score in the certain energy section compared with other energy sections of the unknown new bearing data, the unknown new bearing data is considered to have the fault i, and according to the assumption, the bearing states of the test data with unknown states are estimated by using the known training data, and the specific steps are as follows:
(2-1) scoring by bearing characteristics, and calculating test data S by adopting cosine similarity(i′)With each training data S(h+1),…,S(u)Similarity of (2):
simcos(S(i′),S(h+1)),…,simcos(S(i′),S(u))
wherein, simcos(S(i′),S(h+1)) Represents the test data S(i′)And training data S(h+1)Cosine similarity of (d);
(2-2) taking the first N groups of training data with highest similarityAnd recording it with S(i′)The similarity of (A) is as follows:
(2-3) training data with the training dataBearing condition scoring ofOn the basis of which test data S are calculated(i′)To state Z(t)Predictive scoring of
(2-4) repeating the steps (2-1) - (2-3) by adopting the similarity based on the Euclidean distance to obtain test data S(i′)To state Z(t)Predictive scoring of
(2-5) repeating the steps (2-1) - (2-3) by adopting the Pearson correlation coefficient to obtain test data S(i′)To state Z(t)Predictive scoring of
(2-6) comparing each test data separatelyAndprediction scores, the highest of which is test data S(i′)To state Z(t)Predictive scoring of
4. The memory-based collaborative filtering bearing current damage fault identification method according to claim 3, wherein in the step (2-1), cosine similarity is measured by taking a score of each user as a point in an n-dimensional space, and similarity between the cosine similarity and the point in the n-dimensional space is measured on the basis of the point; taking a vector in a three-dimensional space as an example, if two points in the space respectively represent scores of two users, respectively connecting the two points with an origin point can form two vectors; the similarity between the users is closely related to the relationship between the two vectors, the included angle between the vectors substantially determines the similarity between the two vectors, namely the two users, the smaller the included angle is, the more similar the two vectors are, the higher the similarity is, and vice versa; the cosine of the included angle is used as a numerical value for similarity comparison, the magnitude of the numerical value reflects the degree of similarity, and the value of the numerical value is between-1 and 1; the cosine similarity is calculated by the following formula:
wherein m represents the number of the vector, X1Represents a first vector, X2Represents a second vector; xmRepresenting a point in an n-dimensional space, i.e. an n-dimensional vector.
5. The memory-based collaborative filtering bearing current damage fault identification method according to claim 4, wherein in the step (2-4), the similarity based on Euclidean distance takes the score of each user as a point in an n-dimensional space, and the similarity between the users is measured by using the Euclidean distance between vectors; the Euclidean distance between two user vector coordinates is calculated according to the following formula:
in order to reflect the positive correlation of the similarity, when the method is actually used, the calculated Euclidean distance is subjected to certain deformation to be used as the value of the final similarity, and the similarity calculation formula based on the Euclidean distance is as follows:
the more similar between two users the larger the value, the limit is 1, representing that the preferences of both users are identical.
6. The method for identifying current damage fault of cooperative filtering bearing based on memory as claimed in claim 3, wherein in the step (2-5), the Pearson correlation coefficient is a classical similarity estimation method in mathematical statistics, and the calculation method is as follows:
wherein cov (X, Y) represents the covariance of X and Y, σ represents the standard deviation, σ represents the meanXDenotes the standard deviation, σ, of XYDenotes the standard deviation of Y, E denotes expectation;
from the above formula, the value of the similarity value is between-1 and 1, the higher the absolute value of the value is, the higher the linear correlation is, the limits 1 and-1 represent complete positive correlation or negative correlation, and the value of 0 represents no linear correlation.
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