CN114486261A - Bearing outer ring fault positioning method based on synchronous root-mean-square ratio - Google Patents
Bearing outer ring fault positioning method based on synchronous root-mean-square ratio Download PDFInfo
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Abstract
The invention belongs to the technical field of bearing fault positioning, and particularly relates to a bearing outer ring fault positioning method based on a synchronous root-mean-square ratio, wherein a bearing nonlinear contact dynamic model is established, bearing system parameters and bearing simulation fault parameters are input into the bearing nonlinear contact dynamic model, and a simulation vibration signal of a fault point position is output; taking three measuring points, obtaining vibration signals of the three measuring points according to the simulated vibration signals of the fault point positions and the attenuation parameters of the bearing system, carrying out synchronous root mean square processing on the vibration signals of the three measuring points, providing a bearing fault positioning index curve based on the synchronous root mean square processing, and fitting a relational expression between the bearing fault positioning index curve and the fault angle position, namely a bearing outer ring fault position identification model; collecting actual signals of three measuring points on a bearing with faults; and inputting the acquired actual signal into a bearing outer ring fault position identification model to obtain a specific fault angle position. The invention realizes the positioning of the bearing fault.
Description
Technical Field
The invention belongs to the technical field of bearing fault positioning, and particularly relates to a bearing outer ring fault positioning method based on a synchronous root-mean-square ratio.
Background
The rolling bearing is one of the most common and most vulnerable key components in mechanical equipment, and the operation precision of the rolling bearing directly influences the operation precision of the equipment. Aiming at non-high-precision rotating equipment, when a rolling bearing breaks down, the running precision of the equipment is slightly influenced due to the fact that the fault degree is relatively low, the normal operation of the equipment is hardly influenced, and the production can be normally carried out. However, as the degree of failure increases, failure of the rolling bearing can result in excessive vibration of the rotor system, rotor rub, and even machine failure, resulting in production and economic losses. In order to reduce the influence of the rolling bearing fault on the whole production plan, the residual service life of the rolling bearing can be predicted in advance according to the bearing fault, the production plan is reasonably arranged according to the residual service life of the bearing, and the fault equipment is maintained. The positioning of the bearing outer ring defect plays an important role in fault elimination, fault reason analysis and residual life analysis of the rolling bearing, for example, when other factors are the same, the closer the fault position of the bearing outer ring is to the load center, the faster the defect expansion is, and the less the residual life of the bearing is; the faults at different positions correspond to different fault reasons.
At present, vibration bearing faults are analyzed, most of the vibration bearing faults are qualitatively analyzed, namely whether the faults exist or not is judged, or parts with the faults of the bearings are distinguished, the qualitative analysis and research on the bearing faults are less, and particularly, the qualitative analysis is carried out on fault positions. At present, the research on the fault position of the outer ring of the bearing is mostly concentrated near a load center, the research range is small, and the actual requirement cannot be met.
Disclosure of Invention
In order to solve the problems in the background art, the invention provides a bearing outer ring fault positioning method based on the synchronous root-mean-square ratio, so that the bearing fault can be accurately positioned.
The invention is realized in such a way, and provides a bearing outer ring fault positioning method based on the synchronous root-mean-square ratio, which comprises the following steps:
1) establishing a bearing nonlinear contact dynamic model, inputting a bearing system parameter and a bearing simulation fault parameter into the bearing nonlinear contact dynamic model, and outputting a simulation vibration signal of a fault point position;
2) taking three measuring points, obtaining vibration signals of the positions of the three measuring points according to the simulated vibration signals of the positions of the fault points in the step 1) and the attenuation parameters of the bearing system, carrying out synchronous root mean square processing on the vibration signals of the positions of the three measuring points, providing a bearing fault positioning index curve based on the synchronous root mean square processing, and fitting a relational expression between the bearing fault positioning index curve and the positions of the fault points;
3) collecting actual signals of three measuring points on a bearing with faults;
4) inputting the actual signals acquired in the step 3) into the bearing outer ring fault position identification model established in the step 2) to obtain a specific fault angle position.
Preferably, in the step 1), the bearing local fault is described based on a geometric boundary fault model theory pair, and the bearing nonlinear contact dynamic model expression is as follows:
wherein m is the bearing mass, c and k are the damping and rigidity of the bearing system, Z is the number of balls in the bearing, and x and y are the vibration signal vectors in the horizontal and vertical directions,The included angle between the connecting line between the observation ball and the circle center and the horizontal direction is observed;
for the outer ring fault passing fault depth H, the included angle of the defect width relative to the circle center of the bearingAnd defect position angleThree parameters are described, then the fault depth of the jth ball passing through the outer ring defectComprises the following steps:
wherein r is1Is the radius r of the raceway of the outer ringbIs the ball radius; from the geometrical relationship of the bearing system, the elastic deformation of the jth ballExpressed as:
wherein K represents the hertzian contact stiffness.
Further preferably, considering that a certain distance exists between a bearing fault position and a measuring point, a certain attenuation inevitably exists in the vibration signal in the transmission process, the attenuation process is similar to exponential attenuation, so that a vibration attenuation factor is introduced into a bearing dynamic system, and the attenuated vibration signal is expressed as:
in the formula, slFor the damped vibration signal, s is the vibration signal generated at the fault position, i.e. s is the sum of the x vibration signal vector and the y vibration signal vector, l is the distance between the bearing fault point and the measuring point, r0Is the radius of the vibration source, f0Is the system vibration source frequency xi0Is a geometric attenuation coefficient, alpha0Is the energy attenuation coefficient;
due to the existence of attenuation, when the outer ring of the bearing has a fault, the vibration signals obtained at different measuring points have differences, the fault position is identified by analyzing the mapping relation between the vibration signals at the different measuring points and the fault position of the bearing, and three measuring points x are taken from the outer ring of the bearing1、x2、y1,sx1、sx2、sy1Respectively representing the vibration signals of the three measuring points, and firstly, carrying out synchronous root mean square processing on the vibration signals of the three measuring points to obtain an SRMSy1、 SRMSx1、SRMSx2And a bearing fault location index HHVSRMS is provided on the basis that:
DSRMS=ΔSRMS1/ΔSRMS2 (8)
the HHVSRMS curves are obtained according to the equations (7), (8) and (9), and it is known that HHVSRMS is monotonously symmetrical in two intervals of about 270 DEG, and only one of them is consideredAnd then judging whether the fault is on the left side or the right side of 270 degrees according to the value of the intermediate parameter DSRPS to obtain the final fault position, wherein the relational expression of the HHVSRMS and the fault angle position is as follows:
formula (10) is a fault angleTime HHVSRMS value and fault angle locationCorresponding relation of (1), wherein p1、p2、p3、p4Is a trimming coefficient, and f represents an intermediate quantity angle calculated by equation (10).
Preferably, in step 3), a bearing fault signal acquisition mechanism is used to acquire actual signals of three measurement points on a bearing with a fault, the bearing fault signal acquisition mechanism includes a doorframe-type machine body, two side frames and an upper frame of the machine body are respectively provided with a strip hole, a slide block is movably connected to the frame outside each strip hole, three surfaces of the three slide blocks close to each other are respectively and fixedly connected with a non-contact vibration sensor, when the actual signals are acquired, the bearing is placed in the middle diameter of the machine body, and the three non-contact vibration sensors acquire fault vibration signals of the three measurement points of the fault bearing.
Compared with the prior art, the invention has the advantages that:
analyzing bearing faults based on a bearing fault dynamics mechanism, and according to the provided new bearing outer ring fault position identification method: horizontal-vertical synchronous rms method. The diagnosis method is used for local bearing vibration signal attenuation law in the transmission process, and the signal acquisition mechanism provided by the patent is applied to signal acquisition. The method solves the problem of small outer ring fault identification range, expands the outer ring fault identification range to 230-310 degrees, and simultaneously solves the problem of difficult sensor installation.
Drawings
FIG. 1 is a schematic diagram of a defect;
FIG. 2 is a graph showing the contact force applied to the ball;
FIG. 3 is a graph showing the contact force of the balls in the horizontal direction;
FIG. 4 is a graph showing the contact force of the balls in the vertical direction;
FIG. 5 shows the variation of the horizontal contact force of the balls in the event of a failure of the outer ring
FIG. 6 shows the variation of the vertical contact force of the balls in the event of a failure of the outer ring
FIG. 7 is a schematic view of outer ring measuring points;
FIG. 8 is a correspondence of HHVSRMS to outer ring fault location;
FIG. 9 is a schematic view of a signal acquisition mechanism;
FIG. 10 is a flow chart of a method for identifying the location of a bearing outer ring fault.
Detailed Description
The invention is further explained below with reference to the figures and the specific embodiments:
the method is based on the attenuation rule of the bearing vibration signal in the transmission process and the vibration signal is collected at different measuring points of the bearing outer ring, and provides a signal collecting mechanism which is based on a horizontal-vertical synchronous root mean square method to carry out bearing outer ring fault location and is developed for matching with the collection of multi-point signals. The method analyzes the internal relation between signals and enlarges the fault identification position of the outer ring of the bearing. The method provides a new method for quantitative analysis of the fault position of the bearing outer ring, and the feasibility of the method is verified in simulation and practice.
1) Bearing nonlinear dynamic model
Establishing a bearing nonlinear dynamical model, bringing relevant parameters of a bearing to be tested into the bearing nonlinear dynamical model, and describing a local fault of the bearing based on a geometric boundary fault model theory pair, as shown in fig. 1. The bearing nonlinear dynamics model expression is as follows
Wherein m is the bearing mass, c and k are eachThe damping and rigidity of the bearing system are shown, Z is the number of bearing rolling elements, x and y are vibration signal vectors in two directions,the included angle between the connecting line between the ball and the circle center and the horizontal direction is observed.
For the outer ring fault passing fault depth H, the included angle of the defect width relative to the circle center of the bearingAnd defect position angleThree parameters are described, and the geometrical relationship is shown in figure 1. The depth of failure of the jth ball passing through the outer ring defect
From the geometrical relationship of the bearing system, the elastic deformation of the jth ballExpressed as:
in the formula crRadial play of bearing, the contact load according to Hertz contact theoryExpressed as:
when the bearing is defect-free, the conditions of the contact force applied to the first ball in the bearing can be obtained through simulation and are shown in fig. 2, fig. 3 and fig. 4. Contact force F applied to the ballqjLeft-right symmetry about 270 degrees as boundary when the position of the ballAt 270 deg. its contact force is greatest, when the ball is in positionAway from 270 deg. its contact force decreases as shown in figure 2. Horizontal contact force F of ballqjxIs approximately atA varying sine function curve centered at 270 deg., as shown in fig. 3. Ball vertical direction contact force FqjxIs approximately atA modified cosine function curve centered at 270 deg., as shown in fig. 4.
When the bearing outer ring has defects, the defects are positionedIn the internal variation, the contact force distribution of the ball in the horizontal direction and the vertical direction in one period is shown in fig. 5 and 6. The sudden change of the ball contact load is caused by the fact that the ball passes through the defect, and the sudden change of the ball contact load can follow the position of the defect in the bearing loading intervalMay vary.
2) HHVSRMS vs. fault angle location relationship
When the rolling elements pass through a fault, the contact generates a sudden change, which not only generates an excitation effect on the system, but also is a main source for generating fault characteristic signals. And if a fault vibration signal generated at the fault position of the outer ring is transmitted to a measuring point along the outer ring, the transmission medium is only the outer ring of the bearing. Considering that a certain distance exists between a fault position and a measuring point, certain attenuation inevitably exists in the signal transmission process, the attenuation process is similar to exponential attenuation, and therefore vibration attenuation factors are introduced into a bearing dynamic system
Where l is the distance between the fault and the measurement point, s is the vibration signal generated at the fault location, slFor the damped vibration signal, r0Is the radius of the vibration source, f0System source frequency xi0Is a geometric attenuation coefficient, alpha0Is the energy attenuation coefficient.
Due to attenuation in the signal transmission process, when the bearing has an outer ring fault, vibration signals obtained at different measuring points are different, and the fault position can be identified by analyzing the mapping relation between the vibration signals at the different measuring points and the fault position of the bearing. As shown in FIG. 7, three measuring points x are taken on the outer ring of the bearing1、x2、y1Then sx1、sx2、sy1Representing the vibration signal at the three measurement points, respectively. Firstly, synchronous root mean square processing is carried out on the three-measuring-point signals to obtain SRMSy1、SRMSx1、SRMSx2And a bearing fault location index HHVSRMS is provided on the basis that:
DSRMS=ΔSRMS1/ΔSRMS2 (8)
the results of the HHVSRMS curves are shown in fig. 8, where HHVSRMS is monotonically symmetric in two intervals around 270 °.
Only one may be consideredAnd then judging whether the fault is on the left side or the right side of 270 degrees according to the value of the intermediate parameter DSRPS to obtain the final fault position.
3) Acquisition of the actual signal
The signal acquisition mechanism is shown in fig. 9. The mechanism is matched with a signal acquisition system for use, and the problems that an equipment sensor is not easy to place and multi-point signals are acquired simultaneously can be solved.
Each sliding block is driven by a servo motor and moves in a corresponding sliding groove according to a designated route, and a non-contact vibration sensor is arranged on each sliding block. The sensor reaches the designated position under the drive of the sliding block, is locked with the locking knob, and then carries out signal acquisition.
The left sliding block of the mechanism is matched with the left sliding groove, and the left sliding block can move up and down in the left sliding groove under the driving of the motor through moving the adjusting knob. Meanwhile, the left non-contact vibration sensor is fixed on the left sliding block, so that the position of the left non-contact vibration sensor can move up and down to collect data at a point to be measured.
The right mechanism principle is similar to the left.
The upper sliding block of the mechanism is matched with the upper chute, and the upper sliding block can move left and right in the upper chute under the driving of the motor by moving the adjusting knob. Meanwhile, the upper non-contact vibration sensor is fixed on the upper sliding block, so that the position of the upper non-contact vibration sensor can move left and right, and data at a point to be measured is collected.
And adjusting the position of each non-contact vibration sensor before signal acquisition, and connecting a signal acquisition system after the position adjustment is finished to acquire signals.
4) Identification of bearing outer ring fault location
And processing the acquired data according to the formulas (7), (8) and (9) to obtain a bearing fault positioning index HHVSRMS. Then the fault position of the bearing outer ring is brought into an identification formula:
formula (10) is a fault angleTime HHVSRMS value and fault angle locationCorresponding relation of (1), wherein p1、p2、p3、p4Is the trim factor.
In summary, a flowchart of the method for identifying the fault position of the outer ring of the bearing is shown in fig. 10.
Examples of the following,
First, signal acquisition
(1) And (3) installing a signal acquisition mechanism, fixing the signal acquisition mechanism provided by the method at the position of the bearing to be detected 15, enabling the central section of the mechanism to be superposed with the radial central section of the bearing to be detected, and fixing the position of the machine body 11 by using a fixing bolt 1.
(2) And unlocking the locking knob 3, driving the left sliding block 4 to move up and down in the left sliding groove 2 through the servo motor, enabling the left non-contact vibration sensor 12 to be superposed with the central horizontal line of the bearing to be detected, and then locking the progress position of the locking knob 3.
(3) And unlocking the locking knob 10, driving the right sliding block 9 to move up and down in the right sliding groove 8 through the servo motor, enabling the right non-contact vibration sensor 14 to be superposed with the central horizontal line of the bearing to be tested, and then locking the progress position of the locking knob 10.
(4) And unlocking the locking knob 5, driving the upper side sliding block 6 to move up and down in the upper sliding groove 7 through the servo motor, enabling the upper side non-contact type vibration sensor 13 to be superposed with the central horizontal line of the bearing to be detected, and then locking the progress position of the locking knob 5.
(5) And (3) running the bearing to be tested to enable the bearing to be in a stable running state, and then acquiring three groups of synchronous vibration signals through three non-contact vibration sensors. And importing three groups of data into excel, wherein the first column is a vibration signal acquired by a left non-contact vibration sensor, the second column is a vibration signal acquired by a right non-contact vibration sensor, the third column is a vibration signal acquired by an upper non-contact vibration sensor, and the file is named as 'experimental data x ls'.
Second, kinetic analysis
(1) Login MATLAB interface
The program was run in a MATLAB application to complete the kinetic simulation analysis. First, open the folder in which the file "bearing.m" is located, and open the file "bearing.m".
(2) Inputting bearing parameters
Relevant parameters of the bearing to be tested need to be input in the file, namely NN is the number of the bearing rolling bodies, DW is the diameter of the bearing pitch circle, dr is the diameter of the bearing rolling bodies, fr is the rotation frequency, mi is the mass of the inner ring of the bearing, and mo is the mass of the outer ring of the bearing.
(3) Running program
And simulating the fault of the bearing to be tested through a program to obtain vibration signals of the bearing fault at different positions. And (3) carrying out synchronous root mean square processing on the simulation signal, and then processing data according to the formulas (7), (8) and (9) to obtain a positioning index HHVSRMS. In the right working area of MATLAB, the sequence "o"
Indicating the location of the fault and the series "hhv" indicates the location indicator HHVSRMS.
(4) Fitting a mapping curve
And fitting a corresponding relation between the obtained fault position and the positioning index HHVSRMS to obtain a corresponding relation fitting formula. Select "application" on the top side of MATLAB, then select Curve fixing. And taking the positioning index HHVSRMS as an x coordinate and the fault position as a y coordinate, namely selecting 'hhv' for the x value and 'o' for the y value. Function selection "Rational" function Numerator degree selection "2", Denominator degree selection "1", fitting out the function
In the formula, p1=-15.8,p2=-13,p3=28.3,p4=0.64。
Thirdly, identifying fault positions of bearing outer rings
(1) Inputting fitting parameters
Opening a 'weichi.m' file in a corresponding folder, and obtaining relevant parameters, p, of a fitting relation according to simulation1、p2、p3、p4And inputting the data into a program.
(2) Inputting measured data
The file "experimental data. xls" is placed in the same folder as the program, and the eighth line of code in the program is changed to "x ═ xlsread ('experimental data. xlsx')". And running a program to identify the fault position of the bearing.
(3) Outputting the result
The output result is shown as "fault position 302.7472". The fault position of the bearing to be tested is set to be 300 degrees, the error between the test result and the preset result is small, and the feasibility of the method for identifying the fault position of the outer ring of the bearing is verified within the acceptable range.
Claims (4)
1. The bearing outer ring fault positioning method based on the synchronous root-mean-square ratio is characterized by comprising the following steps of:
1) establishing a bearing nonlinear contact dynamic model, inputting a bearing system parameter and a bearing simulation fault parameter into the bearing nonlinear contact dynamic model, and outputting a simulation vibration signal of a fault point position;
2) taking three measuring points, obtaining vibration signals of the positions of the three measuring points according to the simulated vibration signals of the positions of the fault points in the step 1) and the attenuation parameters of the bearing system, carrying out synchronous root mean square processing on the vibration signals of the positions of the three measuring points, providing a bearing fault positioning index curve based on the synchronous root mean square processing, and fitting a relational expression between the bearing fault positioning index curve and the positions of the fault points;
3) collecting actual signals of three measuring points on a bearing with faults;
4) inputting the actual signals acquired in the step 3) into the relational expression between the bearing fault positioning index curve and the fault angle position established in the step 2) to obtain a specific fault angle position.
2. The synchronous RMS (root mean square ratio) -based bearing outer ring fault positioning method according to claim 1, wherein in the step 1), the bearing local fault is described based on a geometric boundary fault model theory pair, and the expression of the bearing nonlinear contact dynamic model is as follows:
wherein m is the bearing mass, c and k are the damping and rigidity of the bearing system, Z is the number of balls in the bearing, and x and y are the vibration signal vectors in the horizontal and vertical directions,The included angle between the connecting line between the observation ball and the circle center and the horizontal direction is observed;
for the outer ring fault passing fault depth H, the included angle of the defect width relative to the circle center of the bearingAnd defect position angleThree parameters are described, then the fault depth of the jth ball passing through the outer ring defectComprises the following steps:
wherein r is1Is the radius r of the raceway of the outer ringbIs the ball radius; from the geometrical relationship of the bearing system, the elastic deformation of the jth ballExpressed as:
wherein K represents the hertzian contact stiffness.
3. The method for positioning the fault of the outer ring of the bearing based on the synchronous root-mean-square ratio as claimed in claim 1, wherein a certain distance exists between the fault position of the bearing and a measuring point, the vibration signal inevitably has a certain attenuation in the transmission process, the attenuation process is similar to exponential attenuation, so that a vibration attenuation factor is introduced into a bearing dynamic system, and the attenuated vibration signal is expressed as:
in the formula, slFor the damped vibration signal, s is the vibration signal generated at the fault position, i.e. s is the sum of the x vibration signal vector and the y vibration signal vector, l is the distance between the bearing fault point and the measuring point, r0Is the radius of the vibration source, f0Is the system vibration source frequency xi0Is a geometric attenuation coefficient, alpha0Is the energy attenuation coefficient;
due to the existence of attenuation, when the outer ring of the bearing has a fault, the vibration signals obtained at different measuring points have differences, the fault position is identified by analyzing the mapping relation between the vibration signals at the different measuring points and the fault position of the bearing, and three measuring points x are taken from the outer ring of the bearing1、x2、y1,sx1、sx2、sy1Respectively representing the vibration signals of the three measuring points, and firstly, carrying out synchronous root mean square processing on the vibration signals of the three measuring points to obtain an SRMSy1、SRMSx1、SRMSx2And a bearing fault location index HHVSRMS is provided on the basis that:
DSRMS=ΔSRMS1/ΔSRMS2 (8)
the HHVSRMS curves are obtained according to the equations (7), (8) and (9), and it is known that HHVSRMS is monotonously symmetrical in two intervals of about 270 DEG, and only one of them is consideredTime-of-flight HHVSRMS to fault angle location correspondenceAnd fitting a relation between the HHVSRMS and the fault angle position according to the corresponding relation, identifying the fault angle, judging whether the fault is on the left side or the right side of 270 degrees according to the value of the intermediate parameter DSRPS, and obtaining the final fault position, wherein the relation between the HHVSRMS and the fault angle position is as follows:
4. The bearing outer ring fault location method based on synchronous RMS ratio as claimed in claim 1, wherein in step 3), a bearing fault signal collection mechanism is used to collect the actual signals of three measurement points on the faulty bearing, the bearing fault signal collection mechanism includes a doorframe-type body (11), two side frames and an upper frame of the body (11) are respectively provided with a long hole, a slide block is movably connected to the frame outside each long hole, three surfaces of the three slide blocks close to each other are respectively fixedly connected with a non-contact vibration sensor, when collecting the actual signals, the bearing is placed in the middle diameter of the body (11), and the three non-contact vibration sensors collect the fault vibration signals of the three measurement points of the faulty bearing.
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