CN114813133B - Prediction method for paroxysmal impact vibration of intermediate bearing outer ring in local fault state - Google Patents
Prediction method for paroxysmal impact vibration of intermediate bearing outer ring in local fault state Download PDFInfo
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Abstract
The invention relates to the technical field of fault diagnosis, in particular to a method for predicting the paroxysmal impact vibration of an intermediate bearing outer ring in a local fault state.
Description
Technical Field
The invention relates to the technical field of fault diagnosis, in particular to a prediction method of paroxysmal impact vibration of an intermediate bearing outer ring in a local fault state.
Background
Rolling bearings are widely used in rotating machinery such as steam turbines, generators, aero-engine machines, and the like. A typical rotary machine generally employs a single rotor structure. At this time, the inner ring of the rolling bearing is fixedly connected to the rotor structure and rotates along with the rotation of the rotor, and the outer ring channel is fixedly connected to the ground supporting structure, so that the rolling bearing does not rotate.
In order to improve the thrust-weight ratio of the active aero-engine, a sleeved double-rotor structure is generally adopted, and a rotor system consists of basic structures such as a compressor blade, a turbine blade, a rotating shaft, a disk drum and the like and is connected with a casing part through a rolling bearing and an elastic support. As shown in fig. 1, a rolling bearing (i.e., an intermediate bearing 3) is installed between the high-pressure rotor 1 and the low-pressure rotor 2, and when the aeroengine works, both the inner and outer rings of the intermediate bearing rotate due to the rotation of the high-pressure rotor and the low-pressure rotor.
The intermediate bearing is used as a key component for connecting the high-pressure rotor and the low-pressure rotor, and has the characteristics of double rotation speeds, high load and the like. Because of the harsh operating environment, the intermediate bearing is easy to generate local damage faults such as roller scratch, raceway peeling and the like caused by overload, fatigue and the like in the service process. During the sprouting and developing process, the faults can threaten the operation safety of the aeroengine, and serious safety accidents such as shaft locking, shaft burning, shaft cutting and the like can be caused when the faults are serious. Moreover, compared with the rolling bearing at the general position, the intermediate bearing has the greatest characteristic of having two rotating speeds for simultaneously rotating the inner ring and the outer ring, which determines that the local fault of the intermediate bearing can cause more complex dynamic behaviors of the double-rotor system of the aero-engine.
The characteristic dynamic phenomenon of the intermediate bearing-dual rotor system is that the related prediction of the paroxysmal impact vibration is not available at present, so that the paroxysmal impact vibration has a great potential risk in use.
Disclosure of Invention
In view of the above, the present invention provides a method for predicting the paroxysmal impact vibration of an outer ring of an intermediate bearing in a partial fault state, which can avoid safety accidents during use.
In order to solve the technical problems, the invention provides a prediction method of paroxysmal impact vibration of an intermediate bearing outer ring in a local fault state, which comprises the following steps:
s1, establishing a prediction formula for deducing the paroxysmal impact vibration;
the step S1 specifically comprises the following steps:
equation 1 is derived from the occurrence condition of the paroxysmal impact vibration,
fh＝mfbpo
Wherein m is a multiple of the bearing fault frequency, f h is the high-voltage rotor rotating frequency, f bpo is the bearing outer ring fault frequency, and a specific calculation formula 2 of f bpo is:
Wherein, f l and f h are respectively low-voltage frequency conversion and high-voltage frequency conversion, N b is the number of rolling bodies, and R i and R o are respectively the radii of the inner ring and the outer ring of the intermediate bearing;
Substituting the formula 2 into the formula 1 and simplifying to obtain a prediction formula 3 of the paroxysmal impact vibration:
Wherein λ=f h/fl is the ratio of the rotational speeds of the high-pressure rotor to the low-pressure rotor;
S2, searching a bearing manual or aiming at a rotor experimental object to obtain an inner ring radius R i, an outer ring radius R o and the number of rolling bodies N b of the intermediate bearing;
s3, taking m=1, and obtaining the working condition of occurrence of paroxysmal impact vibration according to a formula 3, namely obtaining the double-rotor rotation speed ratio under the condition of m=1;
S4, according to the theoretical calculation working condition in the step S3, carrying out a pre-experiment of paroxysmal impact vibration, collecting a vibration acceleration signal of an experimental object, and giving an envelope spectrum corresponding to the acceleration signal;
S5, calculating the bearing fault frequency according to a formula 2, and combining the envelope spectrum obtained in the step S4 to obtain a multiple relation of the bearing fault frequency, namely obtaining all values of m;
s6, substituting the values of all m into the formula 3 respectively to obtain all working conditions of paroxysmal impact vibration.
Further, the occurrence condition of the paroxysmal impact vibration in the step S1 is that the rotation frequency of the high-pressure rotor is equal to the failure frequency of the bearing and the multiple frequency thereof.
Further, the prediction method of the paroxysmal impact vibration of the intermediate bearing outer ring under the partial fault state is characterized in that: equation 3 in the step S1 is an explicit expression of parsing.
The technical scheme of the invention has the following beneficial effects:
according to the method, the occurrence condition of the paroxysmal impact vibration, namely that the rotation frequency of the high-voltage rotor is equal to the failure frequency of the bearing and the multiple frequency thereof, the prediction formula of the paroxysmal impact vibration is deduced according to the occurrence condition, and all working conditions of the paroxysmal impact vibration can be obtained by combining the formula and a pre-experiment, namely, the prediction of the paroxysmal impact vibration of the double-rotor system under the partial failure state of the outer ring of the intermediate bearing is realized, and the risk is examined, so that serious safety accidents are avoided.
Drawings
FIG. 1 is a schematic structural view of a prior art WP7 aeroengine support solution;
FIG. 2 is an intermediate bearing shock vibration response time history for a partial failure in an embodiment of the present invention;
FIG. 3 is a graph showing the time course of the paroxysmal impact vibration and the corresponding envelope spectrum according to an embodiment of the present invention;
FIG. 4 is a graph showing the time course and corresponding envelope spectrum of the vibration acceleration signal of the dual-rotor laboratory bench according to the experimental example of the present invention;
FIG. 5 is a graph showing the time course and corresponding envelope spectrum of the vibration acceleration signal of the dual-rotor laboratory bench in the experimental example of the present invention;
FIG. 6 shows the time course and corresponding envelope spectrum of the vibration acceleration signal of the dual-rotor laboratory bench in the experimental example of the present invention.
Detailed Description
In order to make the objects, technical solutions and advantages of the embodiments of the present invention more clear, the technical solutions of the embodiments of the present invention will be clearly and completely described below with reference to fig. 1 to 6 of the embodiments of the present invention. It will be apparent that the described embodiments are some, but not all, embodiments of the invention. All other embodiments, which are obtained by a person skilled in the art based on the described embodiments of the invention, fall within the scope of protection of the invention.
The patent provides a prediction formula of the paroxysmal impact vibration and a complete prediction flow of the paroxysmal impact vibration, wherein the paroxysmal impact vibration is taken as a special dynamic phenomenon of an intermediate bearing-dual-rotor system.
Examples
As shown in fig. 2, when the bearing rolling elements pass through the outer race locally, the contact gap between the rolling elements and the inner and outer races suddenly changes, which generally causes continuous large-amplitude impact vibration behavior of the system, which is generally continuous impact vibration.
As shown in fig. 3, when the rotation speed ratio of the dual rotors (i.e., the ratio of the rotation speeds of the high-pressure rotor to the low-pressure rotor) reaches some specific values, the system response is expressed as paroxysmal impact vibration, and only the bearing failure frequency and the multiple frequency thereof are in the corresponding envelope spectrum, and no side frequency, namely the paroxysmal impact vibration dynamics phenomenon, is generated.
Based on the above, the occurrence conditions of the paroxysmal impact vibration are as follows: the high-pressure rotor rotating frequency is equal to the bearing fault frequency and multiple frequency. According to the condition, a prediction method of paroxysmal impact vibration of an intermediate bearing outer ring in a local fault state is provided, and the method comprises the following steps:
s1, establishing a prediction formula for deducing the paroxysmal impact vibration;
the step S1 specifically comprises the following steps:
equation 1 is derived from the occurrence condition of the paroxysmal impact vibration,
fh＝mfbpo
Wherein m is a multiple of the bearing fault frequency, f h is the high-voltage rotor rotating frequency, f bpo is the bearing outer ring fault frequency, and a specific calculation formula 2 of f bpo is:
Wherein, f l and f h are respectively low-voltage frequency conversion and high-voltage frequency conversion, N b is the number of rolling bodies, and R i and R o are respectively the radii of the inner ring and the outer ring of the intermediate bearing;
Substituting the formula 2 into the formula 1 and simplifying to obtain a prediction formula 3 of the paroxysmal impact vibration:
Equation 3 is a dominant expression of parsing. When the physical parameters of the intermediate bearing are known, the working condition of the paroxysmal impact vibration can be calculated according to the formula 3, wherein lambda=f h/fl is the ratio of the rotating speeds of the high-pressure rotor and the low-pressure rotor.
S2, searching a bearing manual or aiming at a rotor experimental object to obtain an inner ring radius R i, an outer ring radius R o and the number of rolling elements N b of the intermediate bearing.
And S3, taking m=1, and obtaining the working condition of occurrence of paroxysmal impact vibration according to a formula 3, namely obtaining the double-rotor rotation speed ratio under the condition of m=1.
S4, according to the theoretical calculation working condition in the step S3, carrying out a pre-experiment of paroxysmal impact vibration, collecting a vibration acceleration signal of an experimental object, and giving an envelope spectrum corresponding to the acceleration signal;
S5, calculating the bearing fault frequency according to a formula 2, and combining the envelope spectrum obtained in the step S4 to obtain a multiple relation of the bearing fault frequency, namely obtaining all values of m;
s6, substituting the values of all m into the formula 3 respectively to obtain all working conditions of paroxysmal impact vibration.
Experimental example
The double-rotor system is taken as an experimental object, and the high-voltage rotor and the low-voltage rotor are driven by two independent motors respectively. In the experiment, a tachometer is used for measuring the rotation frequency of the high-low pressure rotor system under the steady-state rotation condition, 2 acceleration sensors are used for detecting the vibration condition of the high-pressure rotor bearing seat in the horizontal and vertical directions, and the sampling frequency of the acceleration sensors is set to 50000Hz.
According to the steps in the above embodiments:
(a) Measuring the inner ring radius R i = 13mm, the outer ring radius R o = 23mm and the number of rolling elements N b = 11 of the intermediate bearing;
(b) Taking m=1, the rotation speed ratio λ=1.33 at which the paroxysmal impact vibration occurs can be found according to formula 3; the high-voltage conversion frequency is arbitrarily selected to be f h = 82.17Hz, and the low-voltage conversion frequency f l = 61.66Hz is obtained through calculation;
(c) According to the theoretical calculation working condition in (b), a pre-experiment is carried out, and then the time course and envelope spectrum of the vibration acceleration signal are given, as shown in fig. 4;
(d) Calculating a theoretical bearing outer ring fault frequency f bpo = 81.46Hz according to formula 2, and combining the envelope spectrum obtained in (c) to obtain a multiple relation of the bearing fault frequency (i.e. m=k/4, k=1, 2, …);
(e) Further verification is carried out by taking m=0.75 and m=0.5 respectively, and according to the formula 3, the time histories and envelope spectra corresponding to two groups of working conditions with the working condition of ：①fh＝82.17Hz,fl＝54.63Hz,m＝0.75;②fh＝82.17Hz,fl＝40.69Hz,m＝0.50, under the condition of two groups of m are obtained respectively as shown in fig. 5 and 6.
Therefore, as can be seen from the three actual measurement results in fig. 4-6, when the experimental working condition meets the occurrence condition of the paroxysmal impact vibration, the time course of the vibration acceleration of the experiment table shows the paroxysmal impact vibration, only the bearing fault frequency and the multiple frequency thereof are in the envelope spectrum corresponding to the vibration signal, and no side frequency exists, so that the effectiveness of the paroxysmal impact vibration prediction method is verified.
In conclusion, all working conditions under which the paroxysmal impact vibration occurs can be obtained by combining a formula and a pre-experiment, namely, prediction of the paroxysmal impact vibration of the double-rotor system under the partial fault state of the outer ring of the intermediate bearing is realized, and risks are checked, so that serious safety accidents are avoided.
In the present invention, unless explicitly specified and defined otherwise, for example, it may be fixedly connected, detachably connected, or integrally formed; can be mechanically or electrically connected; either directly or indirectly through intermediaries, or in communication with each other or in interaction with each other, unless explicitly defined otherwise, the meaning of the terms described above in this application will be understood by those of ordinary skill in the art in view of the specific circumstances.
While the foregoing is directed to the preferred embodiments of the present invention, it will be appreciated by those skilled in the art that various modifications and adaptations can be made without departing from the principles of the present invention, and such modifications and adaptations are intended to be comprehended within the scope of the present invention.
Claims (3)
1. The method for predicting the paroxysmal impact vibration of the intermediate bearing outer ring in the local fault state is characterized by comprising the following steps of:
s1, establishing a prediction formula for deducing the paroxysmal impact vibration;
the step S1 specifically comprises the following steps:
equation 1 is derived from the occurrence condition of the paroxysmal impact vibration,
fh＝mfbpo
Wherein m is a multiple of the bearing fault frequency, f h is the high-voltage rotor rotating frequency, f bpo is the bearing outer ring fault frequency, and a specific calculation formula 2 of f bpo is:
Wherein, f l and f h are respectively low-voltage frequency conversion and high-voltage frequency conversion, N b is the number of rolling bodies, and R i and R o are respectively the radii of the inner ring and the outer ring of the intermediate bearing;
Substituting the formula 2 into the formula 1 and simplifying to obtain a prediction formula 3 of the paroxysmal impact vibration:
Wherein λ=f h/fl is the ratio of the rotational speeds of the high-pressure rotor to the low-pressure rotor;
S2, searching a bearing manual or aiming at a rotor experimental object to obtain an inner ring radius R i, an outer ring radius R o and the number of rolling bodies N b of the intermediate bearing;
s3, taking m=1, and obtaining the working condition of occurrence of paroxysmal impact vibration according to a formula 3, namely obtaining the double-rotor rotation speed ratio under the condition of m=1;
S4, according to the theoretical calculation working condition in the step S3, carrying out a pre-experiment of paroxysmal impact vibration, collecting a vibration acceleration signal of an experimental object, and giving an envelope spectrum corresponding to the acceleration signal;
S5, calculating the bearing fault frequency according to a formula 2, and combining the envelope spectrum obtained in the step S4 to obtain a multiple relation of the bearing fault frequency, namely obtaining all values of m;
s6, substituting the values of all m into the formula 3 respectively to obtain all working conditions of paroxysmal impact vibration.
2. The method for predicting paroxysmal impact vibration in a partial failure state of an outer race of an intermediate bearing according to claim 1, wherein: the occurrence condition of the paroxysmal impact vibration in the step S1 is that the rotation frequency of the high-pressure rotor is equal to the failure frequency of the bearing and the multiple frequency thereof.
3. The method for predicting paroxysmal impact vibration in a partial failure state of an outer race of an intermediate bearing according to claim 1, wherein: equation 3 in the step S1 is an explicit expression of parsing.
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| CN202210565291.3A CN114813133B (en) | 2022-05-23 | 2022-05-23 | Prediction method for paroxysmal impact vibration of intermediate bearing outer ring in local fault state |
| ZA2023/05276A ZA202305276B (en) | 2022-05-23 | 2023-05-15 | Method for predicting paroxysmal impact vibration in state of local defect of outer race of intermediate bearing |
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| CN202210565291.3A CN114813133B (en) | 2022-05-23 | 2022-05-23 | Prediction method for paroxysmal impact vibration of intermediate bearing outer ring in local fault state |
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| Publication number | Priority date | Publication date | Assignee | Title |
|---|---|---|---|---|
| CN102269655A (en) * | 2010-06-04 | 2011-12-07 | 北京化工大学 | Method for diagnosing bearing fault |
| CN107631877A (en) * | 2017-08-11 | 2018-01-26 | 南京航空航天大学 | A kind of rolling bearing fault collaborative diagnosis method for casing vibration signal |
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| FI112972B (en) * | 1998-07-15 | 2004-02-13 | Abb Research Ltd | Assessment of bearing condition |
| CN111178327A (en) * | 2020-01-16 | 2020-05-19 | 佛山科学技术学院 | Deep learning-based bearing state identification method and system |
| CN112507769B (en) * | 2020-08-10 | 2023-10-27 | 北京化工大学 | Bearing fault diagnosis method based on resonance enhancement characteristics of simulation sensor |
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| Publication number | Priority date | Publication date | Assignee | Title |
|---|---|---|---|---|
| CN102269655A (en) * | 2010-06-04 | 2011-12-07 | 北京化工大学 | Method for diagnosing bearing fault |
| CN107631877A (en) * | 2017-08-11 | 2018-01-26 | 南京航空航天大学 | A kind of rolling bearing fault collaborative diagnosis method for casing vibration signal |
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