CN103728101B - Unsteady state dynamic balance method based on Kalman order domain-holospectrum principle - Google Patents

Unsteady state dynamic balance method based on Kalman order domain-holospectrum principle Download PDF

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CN103728101B
CN103728101B CN201310471605.4A CN201310471605A CN103728101B CN 103728101 B CN103728101 B CN 103728101B CN 201310471605 A CN201310471605 A CN 201310471605A CN 103728101 B CN103728101 B CN 103728101B
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car
test mass
original
order component
play
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CN103728101A (en
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温广瑞
廖与禾
江铖
臧廷朋
李杨
张恒辉
梁正虎
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Xian Jiaotong University
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Xian Jiaotong University
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Abstract

The invention discloses an unsteady state dynamic balance method based on a Kalman order domain-holospectrum principle. The capacity that Kalman order domain analysis can process non-stationary signals and the characteristics that the number of holographic dynamic balance vehicle starting times is small and the unbalance position positioning is accurate are fused to conduct dynamic balancing on vehicle starting and parking signals. According to the method, the application range of traditional holographic dynamic balance is expanded, the limitation that the traditional holographic dynamic balance can conduct dynamic balancing just at the stable rotating speed is broken through, the method can further be combined with the modality balancing principle to achieve balancing of the whole vehicle starting process, a rotor can be prevented from staying nearby the critical rotating speed for a long time, and the risk that the rotor is damaged in a critical zone due to severe vibration is lowered.

Description

A kind of unsteady dynamic balance based on kalman order domain-holographic spectrum principle
Technical field
The invention belongs to rotating machinery dynamic balance field and in particular to a kind of based on kalman order domain-holographic spectrum principle Unsteady dynamic balance.
Background technology
Rotating machinery is widely used in the modern industry such as industry such as aviation, electric power, oil, chemical industry, and they are most Critical component for production equipment.According to statistics, in the various vibration faults of rotating machinery, the vibration that imbalance causes accounts for 70% left side Right.Therefore, dynamic balancing technique is particularly important to large rotating machineries such as steam turbine, aeroengine rotor, fan rotors.
Under stabilized (steady-state) speed, the amplitude of multi-measuring point, frequency, phase place letter can be comprehensively utilized using holographic dynamic balance technology Breath, can more precisely position unbalance amount size and Orientation than conventional method in actual production, and it is few to play train number number.With complete The holographic dynamic balance method growing up based on breath spectral technology effect emulation, the fine setting of counterweight amount and counterweight scheme before balance The aspects such as optimization achieve breakthrough.Correlation technique has obtained extensive popularization in industries such as electric power, petrochemical industry, metallurgy and has answered With its validity and reliability is checked in substantial amounts of practical engineering application and approved.But, holographic dynamic balance technology There is also some shortcomings: the steady-state signal mainly for fixed rotating speed is entered action balance, is difficult to the fluctuation of speed and lifting The non-stationary signal of fast process enters action balance, and this just greatly limit the application of holographic dynamic balance technology.
Under a lot of field conditions, rotor cannot be risen to stable holographic dynamic balance method at all by first critical speed Working speed it is impossible to dynamic balancing under realizing working speed.In addition, traditional mode dynamic balancing needs to make unit extended stationary periods To obtain steady state data near critical speed, this easily leads to unit to be damaged, so that the practice of modal balance method It is greatly limited.
Content of the invention
It is an object of the invention to overcome conventional photographic dynamic balance method can only using steady state data carry out dynamically balanced not Foot, provides a kind of unsteady dynamic balance based on kalman order domain-holographic spectrum principle.
For reaching above-mentioned purpose, the technical solution adopted in the present invention comprises the following steps:
1) first original car is carried out to rotor, rotor original is risen with car process and synchronizes sampling, between the time such as acquisition Every original car vibration signal and original car key signal;
2) using original car key signal, line unit phase processor is entered to original car vibration signal;
3) to step 2) in original car vibration signal after key phase processor carry out kalman order ratio analysis and extract 1 rank dividing Amount, obtains complex envelope and the carrier wave of original car 1 order component;
4) try to achieve amplitude and the phase place under each rotating speed by the complex envelope of original car 1 order component in step 3), draw out The bode figure of original car 1 order component;
5) carry out test mass after adding test mass in the two sections of two wheel discs of rotor and play car, synchronize sampling, obtain etc. The test mass of time interval plays car vibration signal and test mass plays car key signal;
6) play car key signal using test mass test mass is risen with car vibration signal and enter line unit phase processor;
7) test mass after key phase processor in step 6) is risen car vibration signal carry out kalman order ratio analysis extract 1 rank divide Amount, obtains complex envelope and carrier wave that test mass plays car 1 order component;
8) try to achieve amplitude and the phase place under each rotating speed by the complex envelope that step 7) pilot scale restarts car 1 order component, draw out Test mass plays the bode figure of car 1 order component;
9) utilizing step 4) and 8) the bode figure of original car 1 order component that obtains and test mass play the bode of car 1 order component Figure, carries out counterweight calculating by holographic dynamic balance principle, calculates size and the orientation that counterweight is added in two sections;
10) remove test mass, after adding counterweight, play car, observe counterbalance effect.
For playing every time car process, collection be all two sections vibration signal, each section includes mutually perpendicular The vibration signal of both direction, plays the vibration signal that car gathers 4 passages every time.
Described kalman order ratio analysis are to extract 1 order component, are expressed as the form of complex envelope and carrier multiplication, lead to Cross amplitude and the phase place that complex envelope asks vibration.
Compared with prior art, the method have the advantages that
The present invention is directed to start-stop Chefei's steady state data, can extract the related order of rotating speed using kalman order ratio analysis and divide The feature extraction of amount goes out 1 order component, is then accurately positioned unbalance orientation using holographic spectrum principle, finally realizes dynamic balancing.The party Kalman order ratio analysis, from the essence of rotor dynamic balancing, are creatively combined with holographic dynamic balance principle, solve by method Depend on steady state data at present and carry out dynamically balanced limitation, be capable of the modal balancing of symmetric rotor, reach whole Rotor balancing in the range of speeds, realizes the balance of arbitrary target rotating speed during playing car.Through test of many times checking, this Bright simply effective, it is more or less the same with the balance result under steady state data.
Holographic dynamic balance technology based on kalman order ratio analysis proposed by the invention, is to have place according to order ratio analysis The reason ability of non-stationary signal and holographic dynamic balance have had that train number number is few, the feature of good balance effect, by rank ratio method with Holographic dynamic balance theory blends, and extends the dynamically balanced operation strategies of conventional photographic, and the method has been suitable for Parking condition Under dynamic balancing, be especially suitable for using rise a parking data carry out modal balancing.
Brief description
Fig. 1 is 4, two sections of the present invention original car time domain beamformer of passage;
Fig. 2 is key phase correction principle figure of the present invention;
Fig. 3 is original car kalman order ratio analysis 1 rank time domain beamformer of 4, two sections of present invention passage;
Fig. 4 is the bode figure of the embodiment of the present invention 1 original car of passage;
Fig. 5 is the bode figure of the embodiment of the present invention 2 original cars of passage;
Fig. 6 is the bode figure of the embodiment of the present invention 3 original cars of passage;
Fig. 7 is the bode figure of the embodiment of the present invention 4 original cars of passage;
Fig. 8 plays car time domain beamformer for 4, two sections of embodiment of the present invention passage test mass;
Fig. 9 plays car kalman order ratio analysis 1 rank time domain beamformer for 4, two sections of embodiment of the present invention passage test mass;
Figure 10 plays the bode figure of car for embodiment of the present invention passage 1 test mass;
Figure 11 plays the bode figure of car for embodiment of the present invention passage 2 test mass;
Figure 12 plays the bode figure of car for embodiment of the present invention passage 3 test mass;
Figure 13 plays the bode figure of car for embodiment of the present invention passage 4 test mass;
Figure 14 balances 4, latter two section passage for the embodiment of the present invention and plays car time domain beamformer.
Specific embodiment
Below in conjunction with the accompanying drawings and embodiment the invention will be further described.
The present invention first pass through key signal calibrated after calculate each revolution of mean speed, then pass through linear in every turn Interpolation calculation goes out the tachometer value corresponding to each sampled point of vibration signal.Using the tach signal sequence calculating come logical to each vibration The original and test mass in road plays car vibration signal and carries out kalman order ratio analysis, extracts 1 order component, by the multiple bag of 1 order component Network can obtain vibration amplitude and phase place under each rotating speed, has drawn out car process bode figure, then utilizes holographic dynamic balance former Reason is balanced.The method can utilize the unstable state data such as parking, had both the spy that train number number is few, balance quality is high again Point, order ratio analysis and the ingenious fusion of holographic dynamic balance can enter action balance to stop sign, expanded holographic dynamic flat The operation strategies of weighing apparatus.
The concretely comprising the following steps of described unsteady dynamic balance:
1) rotor original is risen with car process and synchronizes sampling, obtain vibration signal and the key signal of constant duration;
2) using key signal, line unit phase processor is entered to vibration signal described in step 1);
3) to step 2) vibration signal after key phase processor carries out kalman order ratio analysis and extracts 1 order component, obtains original Play complex envelope and the carrier wave of car 1 order component;
4) the complex envelope signal being obtained by step 3) tries to achieve amplitude and phase place under each rotating speed, draws out original car Bode schemes;
5) carry out test mass after rotor two sections add suitable test mass and play car, synchronize sampling, between the time such as acquisition Every vibration signal and key signal;
6) key signal being collected with step 5) enters line unit phase processor to its vibration signal;
7) vibration signal after step 6) key phase processor is carried out with kalman order ratio analysis and extracts 1 order component, obtain test mass Play complex envelope and the carrier wave of car 1 order component;
8) the complex envelope signal being obtained by step 7) tries to achieve amplitude and phase place under each rotating speed, draws out test mass and plays car Bode schemes;
9) utilize step 4) and 8) obtain original car 1 order component of vibration signal bode figure and test mass play car 1 rank The bode figure of component, carries out counterweight calculating by holographic dynamic balance principle, calculates size and the side that counterweight is added in two sections Position;
10) remove test mass, after adding counterweight, play car, observe counterbalance effect.
Shown in Figure 1, original car signal is acquired, the vibration signal of 4 measuring points in two sections of synchronous acquisition (two measuring points in same section are mutually perpendicular to), rotating speed, from 250rpm jiggering, is raised to 8000rpm, is followed successively by logical in Fig. 1 from top to bottom Road 1 arrives original car oscillating curve of passage 4.
Principle shown in Figure 2, that key signal is corrected: when key signal is carried out with constant duration sampling, When going at key phase groove, signal amplitude will occur an obvious saltus step, imply that rotor have rotated one week.Wish every time Sampled in critical point a, thus had the reference point of a fixation, be can guarantee that to be precisely one whole between two key signals Week.But due to being that constant duration is sampled it is impossible to just be sampled in a point every time, carry larger error to calculating.Cause This needs to correct into line unit phase.(correction of key phase is primarily to obtain more accurately key signal, thus calculating more accurately Unbalance phase place, concrete grammar is identical with disclosed in patent application 201210507537.8.)
Shown in Figure 3, corrected with key phase and the rotating speed sequence after linear interpolation is carried out as contrast signal Kalman order ratio analysis extract 1 order component, are followed successively by the 1 order component vibration song that original vehicle passage 1 arrives passage 4 from top to bottom Line.
1 order component that kalman order ratio analysis extract is the form of complex envelope and carrier product, and complex envelope is directly taken Mould and phase place can be obtained by vibration amplitude and phase place under each rotating speed, and Fig. 4 to Fig. 7 represents original car of 4 passages successively Bode schemes, and can obtain original car vibration amplitude and the phase place of each passage during 1 rank critical speed by bode figure.
Stop, add test mass, in 180 ° of each interpolation test mass 0.8g of left and right two disk, carry out afterwards
Test mass plays car data collection.As shown in figure 8, the test mass being followed successively by passage 1 to passage 4 from top to bottom plays car vibration song Line.
Shown in Figure 9, corrected with key phase and the rotating speed sequence after linear interpolation is carried out as contrast signal Kalman order ratio analysis extract 1 order component, are followed successively by test mass from top to bottom and play the 1 order component vibration song that vehicle passage 1 arrives passage 4 Line.
Figure 10 to Figure 13 represents that the test mass of 4 passages plays car bode figure successively, can obtain critical turn of 1 rank by bode figure Original car vibration amplitude of each passage and phase place when fast.
Play amplitude and the phase place of each passage under car 1 rank critical speed using original and test mass, using holographic spectrum principle It is balanced calculating, calculate the size adding test mass and orientation is: left disk and right disk counterweight are 176.71 ° of 0.77 ∠.
Stop, lay down test mass, add counterweight according to result of calculation and play car checking, Figure 14 is shown in each passage vibration after balance, It can be seen that vibrate under critical speed after balance by original 130um about be reduced to 20um about require it is sufficient to meet balance, Counterbalance effect is fine.
The invention discloses a kind of rotating machinery unstable state dynamic balancing side based on kalman order domain-holographic dynamic balance principle Method.Make use of order ratio analysis can process the ability of non-stationary signal and holographic dynamic balance plays that train number number is few, unbalance location positioning Accurately feature, both ingenious fusions can be entered action balance using the fluctuation of speed or stop sign, this method is significantly Extend the dynamically balanced operation strategies of conventional photographic, breach tradition and can only carry out dynamically balanced limitation under steady-state speed. The method can also be realized entirely playing the balance of any rotating speed of car process using modal balancing method, and avoids unit to stop for a long time Near critical speed.

Claims (1)

1. a kind of unsteady dynamic balance based on kalman order domain-holographic spectrum principle is it is characterised in that include following walking Rapid:
1) first original car is carried out to rotor, rotor original is risen with car process and synchronizes sampling, obtain constant duration Original car vibration signal and original car key signal;
For playing every time car process, collection be all two sections vibration signal, each section includes mutually perpendicular two The vibration signal in direction, plays the vibration signal that car gathers 4 passages every time;
2) using original car key signal, line unit phase processor is entered to original car vibration signal;
3) to step 2) in original car vibration signal after key phase processor carry out kalman order ratio analysis and extract 1 order component, obtain Complex envelope and carrier wave to original car 1 order component;
4) by step 3) in the complex envelope of original car 1 order component try to achieve amplitude and phase place under each rotating speed, draw out original Play the bode figure of car 1 order component;
5) carry out test mass after adding test mass in the two sections of two wheel discs of rotor and play car, synchronize sampling, the time such as acquisition The test mass at interval plays car vibration signal and test mass plays car key signal;
6) play car key signal using test mass test mass is risen with car vibration signal and enter line unit phase processor;
7) to step 6) in test mass after key phase processor play car vibration signal and carry out kalman order ratio analysis and extract 1 order component, obtain Play complex envelope and the carrier wave of car 1 order component to test mass;
Described kalman order ratio analysis are to extract 1 order component, are expressed as the form of complex envelope and carrier multiplication, by multiple Envelope seeks amplitude and the phase place of vibration;
8) by step 7) pilot scale restarts amplitude and the phase place that the complex envelope of car 1 order component is tried to achieve under each rotating speed, draws out test mass Play the bode figure of car 1 order component;
9) utilize step 4) and 8) the bode figure of original car 1 order component obtaining and test mass play the bode figure of car 1 order component, logical Cross holographic dynamic balance principle and carry out counterweight calculating, calculate size and the orientation that counterweight is added in two sections;
10) remove test mass, after adding counterweight, play car, observe counterbalance effect.
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CN102998110A (en) * 2012-11-29 2013-03-27 西安交通大学 Rotary machine fault characteristic extraction method based on order-holospectrum principle
CN103335785A (en) * 2013-06-24 2013-10-02 西安交通大学 Unsteady dynamic balance method based on order domain-holographic spectrum principle

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