CN106493638B - Ultrahigh speed numerically control grinder electro spindle accuracy monitoring diagnostic method based on difference chaotic - Google Patents
Ultrahigh speed numerically control grinder electro spindle accuracy monitoring diagnostic method based on difference chaotic Download PDFInfo
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- B—PERFORMING OPERATIONS; TRANSPORTING
- B24—GRINDING; POLISHING
- B24B—MACHINES, DEVICES, OR PROCESSES FOR GRINDING OR POLISHING; DRESSING OR CONDITIONING OF ABRADING SURFACES; FEEDING OF GRINDING, POLISHING, OR LAPPING AGENTS
- B24B49/00—Measuring or gauging equipment for controlling the feed movement of the grinding tool or work; Arrangements of indicating or measuring equipment, e.g. for indicating the start of the grinding operation
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Abstract
The invention discloses a kind of ultrahigh speed numerically control grinder electro spindle accuracy monitoring diagnostic methods based on difference chaotic, including first counting main shaft corresponding frequency in different error components, it is then based on the double chaos detection systems of duffing equation construction Duffing vibrator signal differential, positive input is carried out to detection signal respectively and anti-phase input detects, the maximum Lyapunov exponent progress vector quantization of positive input detection and anti-phase input detection under same error component and progress or operation, obtain discriminant parameter L, when all discriminant parameter L are 0, then main shaft precision is normal, terminate this monitoring, diagnosing；Otherwise, the amplification of detection signal and anti-phase input duffing equation are obtained phasor and differentiates that track is compared with the chaos locus phasor under each error component, so that it is determined that error component.The present invention has detection sensitivity high, significantly reduces the omission factor of chaos detection system.The differentiation difficulty of failure factor diagnosis is reduced, substantially increases the advantages that diagnosis is traced back because of accuracy rate.
Description
Technical field
The accuracy detection technical field of present invention design numerically-controlled machine tool industry, it is particularly a kind of based on difference chaotic
Ultrahigh speed numerically control grinder electro spindle accuracy monitoring diagnostic method.
Background technology
More than 150m/s grinding speeds superhigh speed grinding and its equipment in Europe, Japan and developed countries' quilt such as U.S.
" top of modern grinding technique " is described as, compared with conventional grinding machine, with great superiority：Significantly improve grinding effect
Rate reduces equipment and uses number of units；Part processing precision is greatly improved, workpieces processing surface roughness is reduced, such as in other conditions
When identical, when 40m/s and 150m/s speed is ground, surface roughness value is respectively Ra2.0 μm and Ra1.2 μm；Wheel life is prolonged
More than long several times etc..One of the most crucial component of high-speed electric main shaft as ultrahigh speed numerically control grinder, precision is to ultrahigh speed numerical control
The Accuracy of finish of grinding machine influences huge.Even if the minor change of electro spindle precision early stage is mapped to superhigh speed grinding part
On, also have a significant impact to the final precision of part, reported during machining accuracy problem as caused by precision component because electro spindle performance
It is useless, then can all bring about great losses on time and fund, therefore, to the precision early detection of electro spindle and diagnosis increasingly by
Pay attention to enterprise, this proposes higher requirement to the precision controllability of ultrahigh speed numerically control grinder electro spindle.
Electro spindle is with the extension of military service usage time, it may appear that the concentricity of bearing wear, stator and rotor be deteriorated with
And failure factor that is uneven, misaligning, loosening etc. is supported to influence electro spindle precision, cause converted products precision unqualified even
The probability increase scrapped.Ideal solution is in electro spindle precision not yet before deviation range, as needed to electricity
Main shaft carries out the monitoring of specific project, grasps the early stage faint variation of its precision, its error is traced to accomplish to find early and diagnose
Source makes it just eliminate or reduce error before ultrahigh speed numerically control grinder refining losses is caused, makes the precision of electro spindle always
It is maintained in the range of requirement.Therefore, by carrying out early monitoring diagnosis to the precision variation of electro spindle, for extending electro spindle
Precision service life prevents ultrahigh speed numerically control grinder processing loss from spoilage and structure ultrahigh speed numerically control grinder precision condition monitoring
System etc. all has great importance.
The common factors for influencing electro spindle precision have a bearing wear, the concentricity of stator and rotor be deteriorated and it is uneven,
It misaligns, support loosening etc., these failures can be all lain in the vibration information of electro spindle, and existing conventional method is to pass through vibration
The generation occurred to determine corresponding failure of frequency spectrum analysis method diagnostic characteristic frequency component, has the following disadvantages：1) frequency spectrum
Analysis method can not achieve the early detection of electro spindle.Electro spindle precision early stage degraded signal very unobvious, initial failure table
The fault spectrum for being different from electro spindle normal condition revealed is generally characterized by very faint, does not form apparent failure
Spectrum signature frequency component, therefore, frequency spectrum analysis method cannot detect the early stage precision degeneration small-signal of electro spindle.2) frequency spectrum
Analysis method interfered signal is affected.There is a large amount of supply frequencies in electro spindle input voltage signal during high-frequency drive
It modulates and harmonic components, meeting generates many additional interfering frequencies, the particularly early stage event of fault signature component in rumble spectrum
Barrier Weak characteristic component is often submerged in wherein, so that frequency spectrum analysis method cannot detect.
Chaos system has small-signal higher susceptibility, and has very strong immunity to noise.But because from mixed
Dun Qu is to there are transitional region, and the driving force threshold limit value of traditional chaos system detecting system can not between great scale period area
Accurate selection so that traditional chaos method has easily missing inspection occur, causes accuracy of detection poor, accuracy is relatively low.Separately
Outside, because suspect signal is faint, the phase path discrimination of traditional chaos system detecting system is low, is not easy to differentiate.
Invention content
In view of the above shortcomings of the prior art, the technical problems to be solved by the invention are：How providing one kind can drop
Low driving force threshold limit value selection improperly influences, and advantageously reduces omission factor, improves accuracy of detection, accuracy is higher；Phase rail
Mark discrimination is preferable, can accurately detect ultrahigh speed numerically control grinder electro spindle early-stage weak fault signal, find and examine early
The disconnected ultrahigh speed numerically control grinder electro spindle accuracy monitoring diagnostic method based on difference chaotic for tracing its error source.
In order to solve the above-mentioned technical problem, present invention employs following technical solutions：
A kind of ultrahigh speed numerically control grinder electro spindle accuracy monitoring diagnostic method based on difference chaotic, which is characterized in that packet
Include following steps：
Step 1 counts ultrahigh speed numerically control grinder electro spindle corresponding frequencies omega in different error components0i；
Step 2, it is specific as follows based on the double chaos detection systems of duffing equation construction Duffing vibrator signal differential,
A) duffing equation, such as following formula are chosen：
In formula, k is damping ratio, and fcos ω t are driving force item, and f is driving force, and ω is driving force angular frequency, (- xδ+xδ+2)
For nonlinear resilience item, δ is positive odd number；
B) equipped with detection signal r (t), will detection signal r (t) respectively in the form of positive and reverse phase form input Du Fenfang
Journey is improved formula (1) as follows：
Wherein, formula (2) is inputted for positive form, and formula (3) is inputted for reverse phase form；
C) displacement x and speed v are chosen formula (2) and (3) rewriting is as follows：
Complete the construction of the double chaos detection systems of Duffing vibrator signal differential；
Detection signal r (t) is set as 0, respectively by the corresponding frequencies omega of different error components by step 30iAs instigating
Power angular frequency is substituted into formula (4), and is adjusted driving force f and made the double chaos detection systems of Duffing vibrator signal differential from large period shape
Driving force f when Lyapunov indexes are zero by the Lyapunov indexes that state to chaos state changes is determined as the error component
Corresponding frequencies omega0iUnder critical instigate force threshold f0iAnd the track phasor of corresponding chaos state；
Step 4, respectively by the corresponding frequencies omega of different error components0iForce threshold f is instigated with critical0iIn substitution formula (4),
And detection signal r (t) is introduced, calculate maximum Lyapunov exponent when the input of signal positive is detected under same error component and anti-
Maximum Lyapunov exponent when mutually inputting；
Step 5 carries out two maximum Lyapunov exponents under error component same in step 4 vector quantization and carries out
Or operation, and discriminant parameter L is exported, and when the maximum Lyapunov exponent when detection signal positive input is greater than or equal to 0, arrow
Logic 1 is quantified as, otherwise is logical zero；When maximum Lyapunov exponent when detection signal inversion input is less than 0, vector quantization
It is on the contrary for logical zero for logic 1；
Whether step 6 differentiates the discriminant parameter L under all error components all equal to 0, if then ultrahigh speed numerical control grinding
Bed electro spindle precision is normal, terminates this monitoring, diagnosing；If not all equal to 0, then ultrahigh speed numerically control grinder electro spindle precision
It degenerates, performs subsequent step；
Detection signal r (t) is amplified and reverse phase form is input in the duffing equation of formula (1), and choose displacement by step 7
X and speed v rewrites as follows：
In formula, 1.5≤α≤5 are amplification factor；
Respectively by the corresponding frequencies omega of different error components0iForce threshold f is instigated with critical0iIn substitution formula (5), it will export
Phasor differentiate that track phasors of the track G respectively with the chaos state under error component same in step 3 compares, determine phase
Figure differentiates the error that the G error components consistent with the track phasor of chaos state in track is ultrahigh speed numerically control grinder electro spindle precision
Factor.
Traditional Duffing vibrator system is made to be deposited from large period state to chaos state change procedure in general, adjusting driving force f
In transition stage, show as Lyapunov exponential curves at the zero above and below fluctuate, when so as to cause Lyapunov indexes being zero
It is able to detect that multiple driving force f, no matter choosing the driving force f which of transition stage Lyapunov indexes are zero is
It is critical to instigate force threshold f0i, after being all likely to result in detection signal input, Duffing vibrator system is still within the transition stage, makes
It is relatively low to obtain testing result accuracy.In the above method, the double chaos detection systems of Duffing vibrator signal differential are constructed, are formed to inspection
The positive input detection and reversed input for surveying signal detect.In this way, no matter critical instigate force threshold f0iIt is chosen at above-mentioned transition rank
Which of section driving force f can cause the variation of a generation phasor in positive input detection or reversely input detection,
It degenerates so as to be accurately judged to ultrahigh speed numerically control grinder electro spindle precision.The above method is in the deterministic process to error component
In, using the reversed input detection to detection signal, and detection signal is amplified, is conducive to improve different faults factor
The discrimination of track phasor, convenient for determining failure factor.
As an optimization, in the step 2, δ=5, nonlinear resilience item is (- x5+x7).In such manner, it is possible to improve system
To the susceptibility and anti-noise ability of input signal.
As an optimization, it is critical to instigate force threshold f in the step 30iSpecifically determined using following steps：
Adjusting driving force f makes the double chaos detection systems of Duffing vibrator signal differential change from large period state to chaos state
In the process, driving force f when record Lyapunov indexes are equal to 0 for the first time is driving force initial value fsiAnd last is inferior
Driving force f when 0 is driving force end value fei, it is determined that it is critical to instigate force threshold
As an optimization, the detection signal r (t) is：
R (t)=hcos ω0it+n(t) (6)
In formula, hcos ω0iT represents that the corresponding frequency of i-th of error component is ω0i, amplitude be h faint week to be detected
Phase signal, n (t) are random noise signal.
In conclusion the invention has the advantages that：
1st, the present invention is based on the double oscillator principles of difference, traditional chaos detection system is solved because from chaotic region to large scale
Between periodic region there are transitional region and caused by driving force threshold limit value cannot accurately select, so that easily there is asking for missing inspection
Topic.Compared to traditional chaos detection system, while substantially increasing detection sensitivity, chaos detection system is significantly reduced
Omission factor.
2nd, the present invention is based on differential amplification principles, improve the discrimination of the phase path phasor of different faults factor.It compares
In traditional chaos detection system, the differentiation difficulty of failure factor diagnosis is reduced, diagnosis is substantially increased and traces back because of accuracy rate.
3rd, the present invention is capable of detecting when the high-speed main spindle early stage essence that traditional precision analytical method such as spectrum analysis cannot detect
Degree is degenerated, and significantly improves detection sensitivity and precision, strong applicability.
4th, the present invention is ultrahigh speed numerically control grinder electro spindle accuracy detection based on chaology and traces back because of method, utilizes institute
Double detectabilities of the Chaotic vibrator detecting system to small-signal of the difference of foundation and the rejection ability to noise, can to
Electro spindle precision initial failure is monitored and diagnoses, and to grasp the faint variation of its precision early stage and reason, accomplishes to find early,
On-call maintenance extends electro spindle precision service life, has important reality and economic implications.
Description of the drawings
Fig. 1 is the ultrahigh speed numerically control grinder electro spindle accuracy monitoring diagnostic flow chart based on the double chaotic oscillators of difference
Fig. 2 is k=0.5, during ω=1Hz, the relational graph of driving force f and maximum Lyapunov exponent
Fig. 3 is the structure chart of difference chaotic detecting system
Fig. 4 is the structure chart of high-speed electric main shaft precision difference chaos detection system
Fig. 5 is the installation diagram of current vortex sensor
Fig. 6 is to detect the track phasor that oscillator is in chaos state
Fig. 7 is to detect the track phasor that oscillator is in great scale period state
Fig. 8 is chaos locus phasor caused by the factor that misaligns
Fig. 9 is chaos locus phasor caused by unbalanced factor
Figure 10 is chaos locus phasor caused by support loosening factor
Figure 11 is chaos locus phasor caused by lubrication trouble factor
Specific embodiment
The present invention is described in further detail below in conjunction with the accompanying drawings.
Embodiment：As shown in Figure 1, the ultrahigh speed numerically control grinder electro spindle based on the double chaotic oscillators of difference for the present embodiment
Accuracy monitoring diagnostic process is diagnosed as with the electro spindle accuracy monitoring to a HBW2350-H type CBN ultrahigh speed cylindrical grinder
Example, specific implementation process are as follows：
1) based on differential amplification principle, a kind of double chaotic oscillators of difference that can realize the two-way detection of high sensitive is constructed, are built
A kind of vertical Weak Signal Detection Method based on the double chaotic oscillators of difference.
A) in order to improve susceptibility and anti-noise ability of the system to input signal, by the non-linear recovery of traditional Duffing vibrator
Power item is from-x+x3Enhance as-x5+x7, it is as follows to be optimized for a kind of Du Fen chaotic oscillators：
In above formula, k is damping ratio, and f is driving force, and ω is forced frequency.When k is fixed, gradually increase f, Du Fenji
This system can undergo chummage track, Periodic Bifurcation, chaos state, great scale period state, and vice versa.
When driving force f is larger, Du Fen chaotic oscillator systems enter and are maintained at great scale period state, are such as gradually reduced
F, when less than it is a certain it is critical instigate force threshold (i.e. transformation temperature) when, system can enter chaos state, and in the wide range of f all
Chaos state can be in, can determine whether there is periodical small-signal with this.The Du Fen chaotic oscillator systems are in input signal
Before and after variation, the variation of phase-plane diagram figure and maximum Lyapunov exponent, be conducive to input small-signal detection with
Differentiate.
B) as shown in Fig. 2, chaotic oscillator is because there are transitional region, plans from chaotic region to great scale period area
Power threshold limit value cannot be selected accurately, so that traditional Chaotic Detecting Method easily occurs in the case where input signal is fainter
Missing inspection.A kind of double chaotic oscillators of difference that can realize the two-way detection of high sensitive are constructed thus, by positive Du Fen chaotic oscillators
It is formed with reverse phase Du Fen chaotic oscillators, small-signal is inputted with difference form, can realize chaotic region and great scale period area simultaneously
Between the two-way detection mutually converted, can theoretically reduce by more than 50% omission factor, be shown below：
In formula, input signals of the r (t) as the double chaotic oscillator systems of difference, f0It is chaos detection system from large period shape
State is changed to chaos state or the critical driving force of large period state is changed to from chaos state.
Fixed damping ratio k=0.5, calculates driving force f and the relation curve of maximum Lyapunov exponent, as shown in Figure 2.Root
There is certain transition stage according to chaos state and the conversion of large period state, propose that double the critical of chaotic oscillator of difference instigate force threshold
f0Determine that method is as follows：
As shown in Fig. 2, setting chaos state and large period state converts the driving force initial value of transition stage as fs, end value
For fe, then transition stage instigate force difference Δ f=fe-fs, it is critical to instigate force threshold f0It is determined as f0=fs+Δf/2。
C) a kind of weak signal detecting system based on the double chaotic oscillators of difference is established, by the double chaotic oscillators of difference or fortune
It calculates operator and amplification Du Fen chaotic oscillators is formed, as shown in Figure 3.
Or operation operator to difference, make vectorized process and patrol by two maximum Lyapunov exponents of double chaotic oscillators
Volume or operation, and export discriminant parameter L.Vectorization method is：When positive chaotic oscillator maximum Lyapunov exponent be more than etc.
When 0, vector turns to logic 1, otherwise is 0；When the maximum Lyapunov exponent of reverse phase chaotic oscillator is less than 0, vector turns to
Logic 1, on the contrary it is 0.Again by or operation output state differentiate logic L, to discriminate whether that there are small-signals.
Such as there are small-signal inputs, and amplification Du Fen chaotic oscillators will treat that visual small-signal is amplified, with more
Be conducive to distinguish different error components, and export phasor and differentiate track G.Chaos detection system is different because of the type of small-signal
And with different chaos states and track, therefore, it is according to system with different tracks and with different maximums
The chaos state of Lyapunov indexes, it can be determined that the type of small-signal.Amplification Du Fen chaotic oscillators input in inverted form,
Such as following formula：
In formula, α is amplification factor, generally takes 1.5≤α≤5.
2) it with reference to ultrahigh speed numerically control grinder electro spindle error component and the correspondence of frequency, establishes a kind of suitable for superelevation
Fast numerically control grinder electro spindle accuracy monitoring and the double chaotic oscillator weak signal detecting systems of difference of diagnosis.
Influencing the error component that ultrahigh speed numerically control grinder electro spindle precision is degenerated mainly has bearing wear, imbalance, not right
In, support loosening, lubrication trouble etc., the frequecy characteristic of each error component is different, the corresponding frequency of each error component
For ω0i, i=1,2,3 ....By taking a Five-axis NC Machining Center electro spindle as an example, rated power 24kW, nominal torque is
36Nm, maximum speed 20000r/min, front and back bearings use Oil-air Lubrication.Obtaining rotating speed by experiment is
2000r/min, speed-frequency ωrDuring for 33Hz, the main error factor of electro spindle precision and pair of corresponding vibration frequency are influenced
It should be related to, it is as shown in the table.
| Error component | Bearing wear | It misaligns | It is uneven | Support loosens | Lubrication trouble |
| Frequency representation | ω01 | ω02 | ω03 | ω04 | ω05 |
| Respective frequencies (Hz) | 35 | 67 | 90 | 126 | 150 |
The corresponding frequency of each error component is ω0i, i=1,2,3,4,5.Then corresponding shaft bearing abrasion, it is uneven, misalign,
5 error components such as loosening, lubrication trouble are supported, 5 difference chaotic weak signal detecting systems is constructed respectively, is established with this applicable
In ultrahigh speed numerically control grinder electro spindle accuracy monitoring and the double chaotic oscillator weak signal detecting systems of difference of diagnosis, as shown in figure 4,
System may also indicate that such as following formula：
F in formula01、f02、f03、f04、f05The corresponding critical driving force of respectively each error component detection.
In general, the expression formula of detection input signal r (t) is：
R (t)=hcos ω0it+n(t)
In formula, hcos ω0iT represents that the corresponding frequency of i-th of error component is ω0i, amplitude be h faint week to be detected
Phase signal, n (t) are random noise signal.
3) with 3 spaced 120 ° upper sides of eddy current type displacement sensor acquisition ultrahigh speed numerically control grinder electro spindle circumferential direction
Upward vibration signal, and the double chaotic oscillator weak signal detecting systems of difference for introducing construction.
The degeneration of ultrahigh speed numerically control grinder electro spindle precision necessarily causes electro spindle different degrees of vibrational state occur, when going out
When showing bearing wear, imbalance, misaligning, support loosening, lubrication trouble error factors, these fault-signals can all be lain in
In the vibration information of electro spindle, but this kind of initial failure signal is quite faint, and conventional vibration analysis method is difficult to extract.Therefore,
Eddy current type displacement sensor, such as Fig. 5 are installed respectively on 3 directions of spaced 120 ° of the ultrahigh speed numerically control grinder electro spindle
It is shown, with the Vibration Signal in Frequency Domain of acquisition reaction high-speed electric main shaft precision state, and it is weak with the double chaotic oscillators of difference form introducing
Signal detection system.
4) according to the double chaotic oscillator weak signal detecting systems of difference or operation output be condition discrimination logic L, identification is flooded
Faint Accuracy trouble characteristic information early stage not in noise obtains electro spindle precision state status.Such as L=1, then electro spindle is sent out
Production of sperm degree is degenerated；Such as L=0, electro spindle precision is normal.
The double chaotic oscillator weak signal detecting systems of difference are to the ultrahigh speed numerically control grinder electro spindle precision Condition Monitoring Data
It is as shown in the table.It is faint to show that the double oscillators of No. 01 difference have monitored by the double detection oscillator condition discrimination logic L=1 of No. 01 difference
Vibration signal inputs, it is meant that the electro spindle goes out precision and early stage degeneration occurs, need to further analyze its error component and degeneration journey
Degree.
5) track G and driving force angular frequency are differentiated according to the amplification of difference chaotic oscillator weak signal detecting system output
The correspondence of rate and error component frequency, diagnosis electro spindle error component source, and carry out that error component corresponds to phasor can
It is shown depending on changing.
For being identified as the small-signal of precision degeneration through the double chaotic oscillators of difference, further through corresponding amplification chaos
Oscillator is amplified, and is improved the discrimination of the phase path phasor of different faults factor, is taken amplification factor α=2 here.Introduce the electricity
After main shaft monitoring signals, the track phasor of No. 01 Chaos Detection for Weak Signals oscillator system is as shown in fig. 6, show it by large scale week
Phase state enters chaos state, further demonstrates electro spindle precision and early stage degeneration occurs.Other detection oscillators are still within
Great scale period state, track phasor are similar to shape as shown in Figure 7.
The track phasor of chaos state caused by different error components is different, and further retrospect confirms error component,
And corresponding chaos phasor carries out visualization and shows to error component, as shown in Fig. 8, Fig. 9, Figure 10, Figure 11.Compare different rails
Mark phasor, can Accurate Diagnosis go out electro spindle error component for bearing wear, on-call maintenance is answered to safeguard to exclude the failure factor.
The foregoing is merely illustrative of the preferred embodiments of the present invention, is not limitation with the present invention, all in essence of the invention
All any modification, equivalent and improvement made within refreshing and principle etc., should all be included in the protection scope of the present invention.
Claims (4)
1. a kind of ultrahigh speed numerically control grinder electro spindle accuracy monitoring diagnostic method based on difference chaotic, which is characterized in that including
Following steps：
Step 1 counts ultrahigh speed numerically control grinder electro spindle corresponding frequencies omega in different error components0i；
Step 2, it is specific as follows based on the double chaos detection systems of duffing equation construction Duffing vibrator signal differential,
A) duffing equation, such as following formula are chosen：
In formula, k is damping ratio, and fcos ω t are driving force item, and f is driving force, and ω is driving force angular frequency, (- xδ+xδ+2) it is non-
Linear restoring power item, δ are positive odd number；
B) equipped with detection signal r (t), will detection signal r (t) respectively in the form of positive and reverse phase form input duffing equation, will
Formula (1) is improved as follows：
Wherein, formula (2) is inputted for positive form, and formula (3) is inputted for reverse phase form；
C) displacement x and speed v are chosen formula (2) and (3) rewriting is as follows：
Complete the construction of the double chaos detection systems of Duffing vibrator signal differential；
Detection signal r (t) is set as 0, respectively by the corresponding frequencies omega of different error components by step 30iAs driving force angle
Frequencies omega is substituted into formula (4), and adjust driving force f make the double chaos detection systems of Duffing vibrator signal differential from large period state to
The Lyapunov indexes of chaos state variation, driving force f when by Lyapunov indexes being zero are determined as error component correspondence
Frequencies omega0iUnder critical instigate force threshold f0iAnd determining critical it will instigate force threshold f at this0iWhen Duffing vibrator letter
The track phasor of the double chaos detection systems of number difference is determined as the corresponding frequencies omega of the error component0iUnder chaos state track
Phasor；
Step 4, respectively by the corresponding frequencies omega of different error components0iForce threshold f is instigated with critical0iIn substitution formula (4), and draw
Enter to detect signal r (t), calculate maximum Lyapunov exponent when the input of signal positive is detected under same error component and reverse phase is defeated
Fashionable maximum Lyapunov exponent；
Step 5 carries out two maximum Lyapunov exponents under error component same in step 4 vector quantization and carries out or transport
It calculates, and exports discriminant parameter L, when the maximum Lyapunov exponent when detection signal positive input is greater than or equal to 0, vector quantization
It is on the contrary for logical zero for logic 1；When maximum Lyapunov exponent when detection signal inversion input is less than 0, vector, which turns to, patrols
1 is collected, otherwise is logical zero；
Whether step 6 differentiates the discriminant parameter L under all error components all equal to 0, if then ultrahigh speed numerically control grinder electricity
Main shaft precision is normal, terminates this monitoring, diagnosing；If not all equal to 0, then ultrahigh speed numerically control grinder electro spindle precision is degenerated,
Perform subsequent step；
Step 7, will detection signal r (t) amplify and reverse phase form be input in the duffing equation of formula (1), and choose displacement x and
Speed v rewrites as follows：
In formula, 1.5≤α≤5 are amplification factor；
Respectively by the corresponding frequencies omega of different error components0iForce threshold f is instigated with critical0iIn substitution formula (5), by the phasor of output
Differentiate that track phasors of the track G respectively with the chaos state under error component same in step 3 compares, determine that phasor differentiates
Error component consistent with the track phasor of chaos state track G is the error component of ultrahigh speed numerically control grinder electro spindle precision.
2. the ultrahigh speed numerically control grinder electro spindle accuracy monitoring diagnostic method based on difference chaotic as described in claim 1,
It is characterized in that, in the step 2, δ=5, nonlinear resilience item is (- x5+x7)。
3. the ultrahigh speed numerically control grinder electro spindle accuracy monitoring diagnostic method based on difference chaotic as described in claim 1,
It is characterized in that, it is critical to instigate force threshold f in the step 30iSpecifically determined using following steps：
Adjusting driving force f makes the double chaos detection systems of Duffing vibrator signal differential from large period state to chaos state change procedure
In, driving force f when record Lyapunov indexes are equal to 0 for the first time is driving force initial value fsiAnd when being equal to 0 for the last time
Driving force f be driving force end value fei, it is determined that it is critical to instigate force threshold
4. the ultrahigh speed numerically control grinder electro spindle accuracy monitoring diagnostic method based on difference chaotic as described in claim 1,
It is characterized in that, the detection signal r (t) is：
R (t)=hcos ω0it+n(t) (6)
In formula, hcos ω0iT represents that the corresponding frequency of i-th of error component is ω0i, amplitude be h weak periodical to be detected believe
Number, n (t) is random noise signal.
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| CN102156873A (en) * | 2010-12-31 | 2011-08-17 | 北京航空航天大学 | Chaos-based method for detecting and classifying early single-point faults of mechanical component |
| CN103693205A (en) * | 2013-12-30 | 2014-04-02 | 广东电网公司电力科学研究院 | Pod stabilized platform control method based on backlash estimation and compensation |
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| Publication number | Priority date | Publication date | Assignee | Title |
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| JPH08292788A (en) * | 1995-04-24 | 1996-11-05 | Nippon Telegr & Teleph Corp <Ntt> | Method and device for correlative dimension analysis, and method and device for liapunov spectrum analysis, for quasi-stationary time series using adaptive segmentation |
| CN101187991A (en) * | 2007-12-18 | 2008-05-28 | 华南理工大学 | An erosion depth chaos prediction method |
| CN102156873A (en) * | 2010-12-31 | 2011-08-17 | 北京航空航天大学 | Chaos-based method for detecting and classifying early single-point faults of mechanical component |
| CN103693205A (en) * | 2013-12-30 | 2014-04-02 | 广东电网公司电力科学研究院 | Pod stabilized platform control method based on backlash estimation and compensation |
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