CN104483118A - Rotor dynamic and static rub impact fault diagnosis method based on instantaneous frequency shaft centerline orbit - Google Patents

Rotor dynamic and static rub impact fault diagnosis method based on instantaneous frequency shaft centerline orbit Download PDF

Info

Publication number
CN104483118A
CN104483118A CN201410750907.XA CN201410750907A CN104483118A CN 104483118 A CN104483118 A CN 104483118A CN 201410750907 A CN201410750907 A CN 201410750907A CN 104483118 A CN104483118 A CN 104483118A
Authority
CN
China
Prior art keywords
rotor
signal
imf
instantaneous frequency
vibration
Prior art date
Legal status (The legal status is an assumption and is not a legal conclusion. Google has not performed a legal analysis and makes no representation as to the accuracy of the status listed.)
Granted
Application number
CN201410750907.XA
Other languages
Chinese (zh)
Other versions
CN104483118B (en
Inventor
王琇峰
杨斌
和丹
林京
赵明
Current Assignee (The listed assignees may be inaccurate. Google has not performed a legal analysis and makes no representation or warranty as to the accuracy of the list.)
Xian Jiaotong University
Original Assignee
Xian Jiaotong University
Priority date (The priority date is an assumption and is not a legal conclusion. Google has not performed a legal analysis and makes no representation as to the accuracy of the date listed.)
Filing date
Publication date
Application filed by Xian Jiaotong University filed Critical Xian Jiaotong University
Priority to CN201410750907.XA priority Critical patent/CN104483118B/en
Publication of CN104483118A publication Critical patent/CN104483118A/en
Application granted granted Critical
Publication of CN104483118B publication Critical patent/CN104483118B/en
Expired - Fee Related legal-status Critical Current
Anticipated expiration legal-status Critical

Links

Landscapes

  • Testing Of Devices, Machine Parts, Or Other Structures Thereof (AREA)
  • Measurement Of Mechanical Vibrations Or Ultrasonic Waves (AREA)

Abstract

The invention discloses a rotor dynamic and static rub impact fault diagnosis method based on an instantaneous frequency shaft centerline orbit. The method comprises the following steps: mounting two displacement sensors of which the included angle is 90 degrees on a vibration testing section; acquiring displacement vibration signals x(t) and y(t); performing EEMD (Ensemble Empirical Mode Decomposition) on the displacement vibration signals x(t) and y(t) respectively; performing spectral analysis on obtained mode components; respectively selecting IMF signal components IMFx(t) and IMFy(t) which are mainly power frequency components; calculating by using a direct orthogonal method to obtain instantaneous frequencies IFx(t) and IFy(t); subsequently decomposing single-component signals IMFx(t) and IMFy(t) into amplitude modulation signals and frequency modulation signals by means of normalization; synthesizing a shaft centerline orbit by using the calculated instantaneous frequencies IFx(t) and IFy(t) of one-time rotation frequency components in directions X and Y; identifying the running state of a rotor by using the shape of the shaft centerline orbit; extracting instantaneous fluctuation information of the rotating speed of the rotor by a bending vibration signal; synthesizing the instantaneous frequency shaft centerline orbit to realize effective diagnosis on rotor rub impact faults. The method disclosed by the invention has the advantages of improving the accuracy of the diagnosis on faults such as dynamic and static rub impact of the rotor and increasing the utilization rate of a bending vibration monitoring signal of the rotor.

Description

Based on the rotor impact and rub method for diagnosing faults of instantaneous frequency orbit of shaft center
Technical field
The present invention relates to rotary machine rotor fault diagnosis technology field, particularly based on the rotor impact and rub method for diagnosing faults of instantaneous frequency orbit of shaft center.
Background technology
The vibration that Rub-impact fault causes often shows non-linear, non-stationary feature, the very large failure mode of a class diagnosis difficulty, more existing signal analysis methods often can not accurately, intuitively to Rub-impact diagnosing malfunction, the diagnosis of particularly faint in early days Rubbing faults.
When rotor occur along the circumferential direction impact and rub fault time, rotor tangential by generation reverse friction power, the arm of force is rotor radius, thus be applied with a moment of torsion opposite to the direction of rotation to rotor, cause rotating shaft rotating speed abnormal momentary fluctuation, the i.e. abnormal torsional oscillation of rotor, due to the Flexural-Torsional Coupling Vibration characteristic of Rubbing faults, the abnormal torsional oscillation information of rotor can be embodied in the phase place of flexural vibrations signal.Contain failure message when rotor touches the faults such as mill in torsion vibration signal, torsional oscillation information is used, have very large benefit to diagnosis rotor fault, greatly can improve the accuracy of Rubbing faults diagnosis.Because the on-the-spot slewing run all does not install torsional vibration measurement device mostly, mean the twisting vibration information that directly cannot obtain slewing.By contrast, most Diagnosing System for Oil Pump has installed rotor radial vibration monitor system all, if extract rotor transient speed information (i.e. torsional oscillation information) and Appropriate application in addition from radial vibration, there is provided new thinking by the field diagnostic for impact and rub class fault, there is important engineering and economic benefit.
Summary of the invention
In order to overcome the shortcoming of above-mentioned prior art, the object of the present invention is to provide the rotor impact and rub method for diagnosing faults based on instantaneous frequency orbit of shaft center, by the momentary fluctuation information of flexural vibrations signal extraction rotor speed, and synthesize instantaneous frequency orbit of shaft center, thus realize the efficient diagnosis of Rub-impact fault.
For achieving the above object, the technical scheme that the present invention takes is:
Based on the rotor impact and rub method for diagnosing faults of instantaneous frequency orbit of shaft center, comprise the following steps:
Step one, the displacement transducer that two angles are 90 ° is installed in vibration-testing cross section, gather displacement vibration signal x (t) and y (t), in regulation rotor rotation process, the vibration measuring displacement transducer of first process is X-direction sensor, and clockwise another vibration measuring displacement transducer after half-twist is Y-direction sensor;
Step 2, carries out EEMD decomposition to displacement vibration signal x (t) of the X recorded, Y-direction with y (t) respectively, and adjustment EEMD resolution parameter, avoids the generation of mode mixing phenomenon;
Step 3, decomposes to X, Y-direction displacement vibration signal EEMD each mode component obtained and carries out spectrum analysis, pick out the IMF component of signal IMF based on power frequency component respectively x (t)and IMF y (t);
From EEMD, each IMF must meet following two conditions:
A. the extreme point number on whole signal is equal with zero crossing number or differ one at the most;
B. at any point, the coenvelope determined by all Local modulus maximas and be zero by the average of the determined lower envelope of all local minizing points;
Above-mentioned condition, ensure that signal IMF x (t)and IMF y (t)only comprise the vibration of a monotype respectively, thus obtain the instantaneous frequency of clear and definite physical significance;
Step 4, respectively to monotype component signal IMF x (t)and IMF y (t)direct orthogonalization method is used to calculate instantaneous frequency IF x (t)and IF y (t);
To simple component signal IMF x (t)and IMF y (t)amplitude modulation and FM signal is resolved into, that is, by normalization
Order: from the experience frequency modulation component definition orthogonal function of signal,
Therefore, the instantaneous phase of signal calculated by following formula and obtain:
Thus try to achieve signal IMF x (t)instantaneous frequency is:
Step 5, doubly turns the instantaneous frequency IF of frequency component by the X calculated, Y-direction one x (t)and IF x (t)synthesis orbit of shaft center, by orbit of shaft center shape, identifies rotor operation state,
When rotor normally runs, one times of instantaneous frequency synthesis Chart of axes track turning frequency component is random distribution in certain area; When rotor generation impact and rub, power frequency component instantaneous frequency synthesis Chart of axes track presents figure of eight characteristic, and instantaneous frequency presents backward whirl phenomenon simultaneously.
Compared to prior art, the present invention has the following advantages:
A) essence of the present invention is the flexural vibrations signal extraction torsional oscillation information by rotor, and then realizes fault verification, improves the utilization factor of the flexural vibrations monitor signal of rotor.
B) compare existing Analysis of Torsional Vibration technology, the present invention just can complete torsion information extraction without the need to directly installing twisting vibration harvester additional, has saved hardware cost.
C) the rotor impact and rub method for diagnosing faults based on instantaneous frequency orbit of shaft center proposed by the invention can indicate the orientation that impact and rub occurs well, and can judge the order of severity of friction rotor fault according to the order of severity that the reversion of precession direction occurs.
Accompanying drawing explanation
Fig. 1 is embodiment rotor apparatus structural representation.
Fig. 2 is the sliding bearing that embodiment exists Rubbing faults.
Fig. 3 is the EEMD exploded view of original displacement vibration signal x (t) of embodiment.
Fig. 4 is the EEMD exploded view of original displacement vibration signal y (t) of embodiment.
Fig. 5 is the IMF obtained after embodiment X-direction signal EEMD decomposes x (t)component signal.
Fig. 6 is the IMF obtained after embodiment Y-direction signal EEMD decomposes y (t)component signal.
Fig. 7 is example I MF x (t)the instantaneous frequency IF that component is tried to achieve by direct orthogonalization method x (t).
Fig. 8 is example I MF y (t)the instantaneous frequency IF that component is tried to achieve by direct orthogonalization method y (t).
Fig. 9 is that embodiment is by IF x (t), IF y (t)the instantaneous frequency orbit of shaft center of synthesis.
Figure 10 is the instantaneous frequency orbit of shaft center that this rotor apparatus uses the method to obtain when normally running.
Figure 11 is the filtering Chart of axes track that embodiment use EMD filtering orbit of shaft center method obtains.
Figure 12 is the Chart of axes track that this rotor apparatus uses EMD filtering orbit of shaft center method when normally running and obtains.
Embodiment
Describe the present invention below in conjunction with drawings and Examples.
Certain chemical plant carbon dioxide compressor machine set structure as shown in Figure 1, run unit 10# bearing place vibration quantitative change after a period of time large, tear machine overhauling open, to find on 10# sliding bearing that half-watt has and obviously touch polishing scratch mark, as shown in Figure 2, high pressure cylinder nominal operation rotating speed 13260rpm (221Hz).
Based on the rotor impact and rub method for diagnosing faults of instantaneous frequency orbit of shaft center, comprise the following steps:
Step one, the displacement transducer that two angles are 90 ° is installed in vibration-testing cross section, gather displacement vibration signal x (t) and the y (t) of rotor generation impact and rub and normal 10# bearing monitoring section when running, in regulation rotor rotation process, the vibration measuring displacement transducer of first process is X-direction sensor, and clockwise another vibration measuring displacement transducer after half-twist is Y-direction sensor;
Step 2, to 10# bearing X when touching mill, Y-direction displacement vibration data carry out EEMD decomposition, wherein x (t), y (t) represent X, Y-direction original signal, adjustment EEMD resolution parameter, avoid the generation of mode mixing phenomenon, decomposition result is as shown in Figure 3 and Figure 4;
Step 3, decomposes to X, Y-direction displacement vibration signal EEMD each mode component obtained and carries out spectrum analysis, determines that X, Y-direction vibration signal EEMD decompose IMF2 in each mode component obtained and be mainly one times and turn frequency component, i.e. IMF x (t)and IMF y (t), as shown in Figure 5 and Figure 6;
Step 4, respectively to monotype component signal IMF x (t)and IMF y (t)direct orthogonalization method is used to calculate instantaneous frequency IF x (t)and IF y (t), as shown in Figure 7 and Figure 8;
Step 5, doubly turns the instantaneous frequency IF of frequency component by the X calculated, Y-direction one x (t)and IF x (t)synthesis orbit of shaft center, obtain Chart of axes track, as shown in Figure 9, can find, instantaneous frequency Chart of axes track presents figure of eight characteristic, and occurs in Chart of axes track that mill position consistency is touched with actual in precession direction backward position (top),
When sliding bearing and rotor are without impact and rub fault, gather 10# bearing X, Y-direction displacement vibration signal in identical measuring point, same sample frequency, according to step above, same analysis is carried out to 10# bearing X, Y-direction displacement vibration data.
With reference to Figure 10, Figure 10 be rotor when normally running by 10# bearing X, Y-direction displacement vibration signal EEMD decomposes a times of obtaining and turns the instantaneous frequency Chart of axes track that frequency component solves the instantaneous frequency synthesis obtained, can find out when rotor normally runs, one times of instantaneous frequency synthesis Chart of axes track turning frequency component presents random distribution in certain area.
With reference to Figure 11 and Figure 12, Figure 11 and Figure 12 be respectively rotor generation Rubbing faults and normal when running by 10# bearing X, Y-direction displacement vibration signal EEMD decomposes the one times of Chart of axes track turning frequency component and synthesize obtained, when can find out rotor generation Rubbing faults, IMF2 (power frequency component) synthesizes orbit of shaft center and occurs obviously distortion, but only rely on this difference, the method of there is no confirms as rotor generation Rubbing faults, especially when rotor occur slight touch mill time, it is possible and not obvious on one times of impact turning the orbit of shaft center of frequency component synthesis, in conjunction with proposed instantaneous frequency Chart of axes track, can make a definite diagnosis further.
Above content is in conjunction with concrete preferred implementation further description made for the present invention; can not assert that the specific embodiment of the present invention is only limitted to this; for general technical staff of the technical field of the invention; without departing from the inventive concept of the premise; some simple deduction or replace can also be made, all should be considered as belonging to the present invention by submitted to claims determination scope of patent protection.

Claims (1)

1., based on the rotor impact and rub method for diagnosing faults of instantaneous frequency orbit of shaft center, it is characterized in that, comprise the following steps:
Step one, the displacement transducer that two angles are 90 ° is installed in vibration-testing cross section, gather displacement vibration signal x (t) and y (t), in regulation rotor rotation process, the vibration measuring displacement transducer of first process is X-direction sensor, and clockwise another vibration measuring displacement transducer after half-twist is Y-direction sensor;
Step 2, carries out EEMD decomposition to displacement vibration signal x (t) of the X recorded, Y-direction with y (t) respectively, and adjustment EEMD resolution parameter, avoids the generation of mode mixing phenomenon;
Step 3, decomposes to X, Y-direction displacement vibration signal EEMD each mode component obtained and carries out spectrum analysis, pick out the IMF component of signal IMF based on power frequency component respectively x (t)and IMF y (t);
From EEMD, each IMF must meet following two conditions:
A. the extreme point number on whole signal is equal with zero crossing number or differ one at the most;
B. at any point, the coenvelope determined by all Local modulus maximas and be zero by the average of the determined lower envelope of all local minizing points;
Above-mentioned condition, ensure that signal IMF x (t)and IMF y (t)only comprise the vibration of a monotype respectively, thus obtain the instantaneous frequency of clear and definite physical significance;
Step 4, respectively to monotype component signal IMF x (t)and IMF y (t)direct orthogonalization method is used to calculate instantaneous frequency IF x (t)and IF y (t);
To simple component signal IMF x (t)and IMF y (t)amplitude modulation and FM signal is resolved into, that is, by normalization
Order: from the experience frequency modulation component definition orthogonal function of signal,
Therefore, the instantaneous phase of signal calculated by following formula and obtain:
Thus try to achieve signal IMF x (t)instantaneous frequency is:
Step 5, doubly turns the instantaneous frequency IF of frequency component by the X calculated, Y-direction one x (t)and IF x (t)synthesis orbit of shaft center, by orbit of shaft center shape, identifies rotor operation state,
When rotor normally runs, one times of instantaneous frequency synthesis Chart of axes track turning frequency component is random distribution in a rotary speed area; When rotor generation impact and rub, power frequency component instantaneous frequency synthesis Chart of axes track presents figure of eight characteristic, and instantaneous frequency presents backward whirl phenomenon simultaneously.
CN201410750907.XA 2014-12-08 2014-12-08 Rotor dynamic and static rub impact fault diagnosis method based on instantaneous frequency shaft centerline orbit Expired - Fee Related CN104483118B (en)

Priority Applications (1)

Application Number Priority Date Filing Date Title
CN201410750907.XA CN104483118B (en) 2014-12-08 2014-12-08 Rotor dynamic and static rub impact fault diagnosis method based on instantaneous frequency shaft centerline orbit

Applications Claiming Priority (1)

Application Number Priority Date Filing Date Title
CN201410750907.XA CN104483118B (en) 2014-12-08 2014-12-08 Rotor dynamic and static rub impact fault diagnosis method based on instantaneous frequency shaft centerline orbit

Publications (2)

Publication Number Publication Date
CN104483118A true CN104483118A (en) 2015-04-01
CN104483118B CN104483118B (en) 2017-04-19

Family

ID=52757688

Family Applications (1)

Application Number Title Priority Date Filing Date
CN201410750907.XA Expired - Fee Related CN104483118B (en) 2014-12-08 2014-12-08 Rotor dynamic and static rub impact fault diagnosis method based on instantaneous frequency shaft centerline orbit

Country Status (1)

Country Link
CN (1) CN104483118B (en)

Cited By (8)

* Cited by examiner, † Cited by third party
Publication number Priority date Publication date Assignee Title
CN104849037A (en) * 2015-05-21 2015-08-19 重庆大学 Rotation machinery fault diagnosis method based on complex signal double-side spectrum analysis
CN105258892A (en) * 2015-09-28 2016-01-20 沈阳鼓风机集团安装检修配件有限公司 Vibration fault detection method and apparatus for centrifugal compressor
CN106017956A (en) * 2016-05-18 2016-10-12 重庆大学 New method for fault diagnosis of rotating machine based on precession energy difference density spectrum analysis
CN106548150A (en) * 2016-11-03 2017-03-29 中国船舶重工集团公司第七0三研究所 A kind of Instantaneous frequency analysis extracted for herringbone bear fault signature
CN110119764A (en) * 2019-04-16 2019-08-13 北京天泽智云科技有限公司 The method of purification of orbit of shaft center under a kind of variable speed operating condition
CN110849414A (en) * 2019-10-29 2020-02-28 润电能源科学技术有限公司 Method, device and equipment for identifying bending direction of rotor and storage medium
CN113514144A (en) * 2021-07-28 2021-10-19 郑州轻工业大学 Unbalance-rubbing coupling fault detection method based on eddy current displacement sensor
CN115615684A (en) * 2022-11-08 2023-01-17 和尘自仪(嘉兴)科技有限公司 Pump shaft health detection method based on axis locus deformation monitoring

Citations (7)

* Cited by examiner, † Cited by third party
Publication number Priority date Publication date Assignee Title
JPH09257096A (en) * 1996-03-25 1997-09-30 Tokimec Inc Anti-rocking device
CN101464125A (en) * 2009-01-20 2009-06-24 西安交通大学 Vertical rotation axis partial contact rubbing detection method
CN101907089A (en) * 2010-08-20 2010-12-08 西安交通大学 Fault diagnosis method of compressor shafting based on three-dimensional space axle center orbit
CN102542151A (en) * 2011-11-30 2012-07-04 重庆大学 Rotary machine axis track purification method based on ensemble empirical mode decomposition
CN103042436A (en) * 2013-01-21 2013-04-17 北京信息科技大学 Spindle turning error source tracing method based on shaft center orbit manifold learning
CN103412145A (en) * 2013-08-19 2013-11-27 华北电力大学(保定) Automatic identifying method of rotor system shaft center track precessional motion direction
CN104165686A (en) * 2014-06-17 2014-11-26 中州大学 Rotor axis track purification method based on binary empirical mode decomposition

Patent Citations (7)

* Cited by examiner, † Cited by third party
Publication number Priority date Publication date Assignee Title
JPH09257096A (en) * 1996-03-25 1997-09-30 Tokimec Inc Anti-rocking device
CN101464125A (en) * 2009-01-20 2009-06-24 西安交通大学 Vertical rotation axis partial contact rubbing detection method
CN101907089A (en) * 2010-08-20 2010-12-08 西安交通大学 Fault diagnosis method of compressor shafting based on three-dimensional space axle center orbit
CN102542151A (en) * 2011-11-30 2012-07-04 重庆大学 Rotary machine axis track purification method based on ensemble empirical mode decomposition
CN103042436A (en) * 2013-01-21 2013-04-17 北京信息科技大学 Spindle turning error source tracing method based on shaft center orbit manifold learning
CN103412145A (en) * 2013-08-19 2013-11-27 华北电力大学(保定) Automatic identifying method of rotor system shaft center track precessional motion direction
CN104165686A (en) * 2014-06-17 2014-11-26 中州大学 Rotor axis track purification method based on binary empirical mode decomposition

Non-Patent Citations (1)

* Cited by examiner, † Cited by third party
Title
史东锋等: "轴心轨迹定量特征提取技术在回转机械诊断中的应用", 《化工机械》 *

Cited By (11)

* Cited by examiner, † Cited by third party
Publication number Priority date Publication date Assignee Title
CN104849037A (en) * 2015-05-21 2015-08-19 重庆大学 Rotation machinery fault diagnosis method based on complex signal double-side spectrum analysis
CN105258892A (en) * 2015-09-28 2016-01-20 沈阳鼓风机集团安装检修配件有限公司 Vibration fault detection method and apparatus for centrifugal compressor
CN106017956A (en) * 2016-05-18 2016-10-12 重庆大学 New method for fault diagnosis of rotating machine based on precession energy difference density spectrum analysis
CN106548150A (en) * 2016-11-03 2017-03-29 中国船舶重工集团公司第七0三研究所 A kind of Instantaneous frequency analysis extracted for herringbone bear fault signature
CN110119764A (en) * 2019-04-16 2019-08-13 北京天泽智云科技有限公司 The method of purification of orbit of shaft center under a kind of variable speed operating condition
CN110119764B (en) * 2019-04-16 2021-03-02 北京天泽智云科技有限公司 Purification method of axis track under variable rotating speed working condition
CN110849414A (en) * 2019-10-29 2020-02-28 润电能源科学技术有限公司 Method, device and equipment for identifying bending direction of rotor and storage medium
CN113514144A (en) * 2021-07-28 2021-10-19 郑州轻工业大学 Unbalance-rubbing coupling fault detection method based on eddy current displacement sensor
CN113514144B (en) * 2021-07-28 2022-07-26 郑州轻工业大学 Unbalance-rubbing coupling fault detection method based on eddy current displacement sensor
CN115615684A (en) * 2022-11-08 2023-01-17 和尘自仪(嘉兴)科技有限公司 Pump shaft health detection method based on axis locus deformation monitoring
CN115615684B (en) * 2022-11-08 2023-04-07 和尘自仪(嘉兴)科技有限公司 Pump shaft health detection method based on axis locus deformation monitoring

Also Published As

Publication number Publication date
CN104483118B (en) 2017-04-19

Similar Documents

Publication Publication Date Title
CN104483118A (en) Rotor dynamic and static rub impact fault diagnosis method based on instantaneous frequency shaft centerline orbit
CN103323274B (en) Condition monitoring for rotating machinery and fault diagnosis system and method
Liu et al. Vibration analysis for large-scale wind turbine blade bearing fault detection with an empirical wavelet thresholding method
Zhao et al. Fault diagnosis of wind turbine bearing based on variational mode decomposition and Teager energy operator
Hong et al. A time domain approach to diagnose gearbox fault based on measured vibration signals
Yoon et al. On the use of a single piezoelectric strain sensor for wind turbine planetary gearbox fault diagnosis
CN103575523A (en) Rotating machine fault diagnosis method based on Fast ICA-spectrum kurtosis-envelope spectrum analysis
Meng et al. General synchroextracting chirplet transform: Application to the rotor rub-impact fault diagnosis
Schmidt et al. An informative frequency band identification framework for gearbox fault diagnosis under time-varying operating conditions
Fan et al. Blade vibration difference-based identification of blade vibration parameters: A novel blade tip timing method
Yang et al. Empirical mode decomposition, an adaptive approach for interpreting shaft vibratory signals of large rotating machinery
Yi et al. Multisensor signal denoising based on matching synchrosqueezing wavelet transform for mechanical fault condition assessment
CN105675113B (en) Rotating machinery angular domain vibration signal acquisition device based on microsensor and method
CN109520738A (en) Rotating machinery Fault Diagnosis of Roller Bearings based on order spectrum and envelope spectrum
CN102998110B (en) Rotary machine fault characteristic extraction method based on order-holospectrum principle
CN110044610A (en) Gear failure diagnosing method
CN103308152A (en) Method for re-sampling vibration signals of rotary machine in angular domains on basis of instantaneous frequency estimation
CN113632026A (en) Fault diagnosis method and system for rotary mechanical equipment and storage medium
Shi et al. Purification and feature extraction of shaft orbits for diagnosing large rotating machinery
Wu et al. A modified tacho-less order tracking method for the surveillance and diagnosis of machine under sharp speed variation
Rezazadeh et al. Diagnosing and balancing approaches of bowed rotating systems: a review
Zhu et al. A detection method for bearing faults using complex-valued null space pursuit and 1.5-dimensional teager energy spectrum
Wang et al. Early rolling bearing fault diagnosis in induction motors based on on-rotor sensing vibrations
You et al. Fault diagnosis system of rotating machinery vibration signal
CN110646138A (en) Dynamic balance method and analysis device for rotary machine without key phase and trial weight

Legal Events

Date Code Title Description
C06 Publication
PB01 Publication
C10 Entry into substantive examination
SE01 Entry into force of request for substantive examination
GR01 Patent grant
GR01 Patent grant
CF01 Termination of patent right due to non-payment of annual fee
CF01 Termination of patent right due to non-payment of annual fee

Granted publication date: 20170419

Termination date: 20211208