CN108062514A - A kind of ink roller of offset printing machine method for diagnosing faults based on three-dimensional spectrum analysis - Google Patents

A kind of ink roller of offset printing machine method for diagnosing faults based on three-dimensional spectrum analysis Download PDF

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CN108062514A
CN108062514A CN201711215783.5A CN201711215783A CN108062514A CN 108062514 A CN108062514 A CN 108062514A CN 201711215783 A CN201711215783 A CN 201711215783A CN 108062514 A CN108062514 A CN 108062514A
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邓瑞
徐卓飞
侯和平
丁继业
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Xian University of Technology
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    • G06FELECTRIC DIGITAL DATA PROCESSING
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Abstract

The invention discloses a kind of ink roller of offset printing machine method for diagnosing faults based on three-dimensional spectrum analysis, specifically implement according to following steps:Step 1, the vibration signal under printing machine rubber roller bearings at both ends normal condition and malfunction is gathered, while is built and the corresponding emulation signal of fault-signal;Step 2, the vibration signal and corresponding emulation signal that collect are analyzed and handled, establish 3-D view;Step 3, feature extraction is carried out to the 3-D view of vibration signal using the method for gray level co-occurrence matrixes, and processing is weighted to the grain direction feature of gray level co-occurrence matrixes;Step 4, classification is identified to weighting processed feature using BP neural network respectively, the feature of different faults is recognized accurately.The method of the present invention effectively increases the correct probability of fault diagnosis, ensure that the work of printing machine normal table, has saved the plenty of time, production efficiency significantly improves.

Description

A kind of ink roller of offset printing machine method for diagnosing faults based on three-dimensional spectrum analysis
Technical field
The invention belongs to printing packaging equipment condition monitorings and intelligent fault diagnosis technical field, and in particular to one kind is based on The ink roller of offset printing machine method for diagnosing faults of three-dimensional spectrum analysis.
Background technology
Printing industry is in occupation of critical role in the development of entire society, and printing is closely bound up with people’s lives, together When press there is the double attribute of processing industry and cultural industry, be the important component of national economy.Modern society flies Speed development, people are higher and higher for the requirement of various print qualities, and any machine in use all can be faulty Occur, production efficiency will necessarily be reduced by breaking down, and the quality of product is caused to decline, causes serious economic loss.Work as failure When serious, personal safety may be impacted.Therefore in actual production, failure is found in time, failure is solved, takes precautions against failure Just seem particularly significant.
Complete ink system is to realize the important prerequisite of exquisite printing, and adjusting, maintenance, the maintenance of ink system are being printed It is occupied an important position in machine operation.Offset press ink system is made of more than ten a ink rollers, including ink foundation roller, distributor rollers, rider roller, Wavers, weight roller etc..One of the important spare part of rolling bearing as ink roller, the stability and reliability of operation are for offset printing The working condition of machine plays decisive role.In the actual environment, ink roller bearing is not only subject to fountain solution, alcolhol burner organic solvent Corrosion, while periodically movement roller is caused the abrasion of different faults occur.Ink roller bearings at both ends is in the operating condition Forms of motion is synchronous, and bearings at both ends cycle, amplitude, movement locus are identical, has certain correlation;Multiple ink rollers are synchronous Movement will be generated with frequency and frequency-doubled signal so that vibration signal is easily interfered with each other and coupled, and is increased fault signature and is carried The difficulty taken;The relatively very noisy that multiple ink roller vibrations generate may flood bearing early-stage weak fault signal, only to single bearing Analysis of vibration signal is easy to ignore fault signature;How to ink roller system bearing vibration signal rapid extraction and to have The feature extraction of effect is significant for the status monitoring and fault diagnosis of printing machine inking system.
The major maintenance management method of equipment is exactly to be diagnosed according to vibration signal at present, for this kind of complexity of printing machine Mechanical equipment for, analysis of vibration signal is undoubtedly maximally efficient means.Traditional vibration research spininess is to single zero Time domain and the frequency domain character expansion of part vibration signal, comprehensively to analyze total, if can introduce 3-D view into Row the Study on Fault is then more conducive to hold equipment state comprehensively, while has both the characteristics of directly perceived indirect.
The content of the invention
Object of the present invention is to provide a kind of ink roller of offset printing machine method for diagnosing faults based on three-dimensional spectrum analysis, are The identification of ink system bearing abnormality provides accurate method directly perceived.
The technical solution adopted in the present invention is a kind of ink roller of offset printing machine fault diagnosis side based on three-dimensional spectrum analysis Method is specifically implemented according to following steps:
Step 1, vibration signal of the printing machine rubber roller bearings at both ends under normal condition and malfunction is gathered, is built simultaneously With the corresponding emulation signal of fault-signal;
Step 2, the vibration signal that collects and corresponding emulation signal are analyzed and handled, establish vibration signal and Emulate the 3-D view of signal;
Step 3, feature extraction is carried out to the 3-D view of vibration signal using the method for gray level co-occurrence matrixes, and to gray scale The grain direction feature of co-occurrence matrix is weighted processing;
Step 4, classification is identified to weighting processed feature using BP neural network respectively, difference is recognized accurately The feature of failure, so as to complete the fault diagnosis of printing machine.
The features of the present invention also resides in:
Printing machine top roller bearing is rolling bearing in step 1;
Printing machine rubber roller bearings at both ends is gathered by high--speed multi--channel data acquisition system and acceleration transducer in step 1 Vibration signal under normal condition and malfunction;The emulation obtained by programming software under different types of faults state is believed Number;
Malfunction in step 1 includes:In bearing inner race malfunction, outer ring malfunction, rolling element malfunction One or more;
Step 2 specifically includes following steps:
Step 2.1, it is original to input vibration signal of the printing machine top roller bearing both ends of acquisition under normal and malfunction Beginning signal x (t) finds the Local modulus maxima of original signal x (t) and the coenvelope with Cubic Spline Functions Fitting into former data Line P, then find out all minimum points and it is used into cubic spline interpolation into lower envelope line Q;
Step 2.2, in calculating lower envelope average, be denoted as m (t):
Step 2.3, it is worth to one-component h (t) with what original signal x (t) subtracted envelope
H (t)=x (t)-m (t) (2)
Step 2.4, when component meet h (t) on time shaft Local Symmetric and | h (t) extreme point number-h (t) zero points Number | during≤1 requirement, IMF components will be just saved as, are denoted as c (t);H (t) is expressed as inputting if being unsatisfactory for IMF definition Signal repeats step 2.1~step 2.3, until meeting EMD requirements;
Step 2.5, c (t) is subtracted from original signal x (t), obtains residual signal r (t)
R (t)=x (t)-c (t) (3)
Step 2.6, step 2.1~step 2.5 is carried out using residual signal r (t) as original signal, until N ranks cannot IMF extractions are carried out again, and most original signal is expressed as at last:
The Hilbert of x (t) converts y (t):
In formula (5), PV is Cauchy's principal value, and τ is time variable;
Analytic signal z (t) corresponding to x (t) is:
Z (t)=x (t)+iy (t)=a (t) eiθ(t) (6)
In formula (6), a (t) is known as the instantaneous amplitude of original signal x (t), and θ (t) is known as the instantaneous phase of original signal x (t)
Step 2.7, Hilbert conversion is carried out to every single order IMF of original signal x (t), obtains signal transient frequency:
Step 2.8, sampled by software programming, the vibration signal collected is converted respectively using HHT algorithms, is obtained To corresponding amplitude over time-frequency 3-D view.
Step 3 specifically includes following steps:
Step 3.1, the three-dimensional time-frequency image of vibration signal is mapped on X-Y scheme, vibration is replaced with the light and shade of gray scale Amplitude;
Step 3.2, the gray level co-occurrence matrixes of two-dimensional map are calculated, to four on 0 °, 45 °, 90 °, 135 ° of four directions Gray feature extracts, and obtains the eigenmatrix of image;
Step 3.3, processing is weighted to the grain direction of eigenmatrix, to eliminate influence of the direction to diagnostic result, The description characteristics of image of comprehensive and reasonable;
Step 3.3 concretely comprises the following steps,
Step 3.3.1 selects entropy to ask entropy flat on 0 °, 45 °, 90 °, 135 ° of four directions as fault signature Average:
Step 3.3.2 calculates weight of the entropy on 0 °, 45 °, 90 °, 135 ° of four directions:
Step 3.3.3 combines the characteristic value of 0 °, 45 °, 90 °, 135 ° four direction according to weight factor, obtains at weighting Feature vector after reason:
Step 3.3.4 passes through weighting treated feature vector drawing image characteristic statistics figure.
Step 4 specifically includes following steps:
Step 4.1, input layer unit number n is determined;
Step 4.2, output layer unit number m is determined;
Step 4.3, three layers of hidden layer BP neural network are chosen and carries out fault diagnosis.
The beneficial effects of the invention are as follows:
(1) present invention carries out EMD processing to bearing vibration signal using HHT methods and obtains IMF components, to IMF points Amount carries out Hilbert conversion, obtains the Energy distribution graphics of vibration signal, compared with general two-dimensional time-domain frequency domain figure, shakes Width-time-frequency three-dimensional spectrum more intuitively embodies signal frequency range and the distribution of energy, can observe amplitude simultaneously At any time, the trend of frequency variation all has preferable temporal resolution simultaneously for low frequency, high-frequency signal, can be complete The feature of original signal is shown, is laid the foundation for the feature extraction of 3-D view;
(2) the present invention is based on the gray scale depth is utilized to replace amplitude height that will vibrate graphics on the basis of gray level co-occurrence matrixes As being mapped as two dimensional gray figure, and the vibrational image gray feature collected by different directions is weighted with weight factor Processing, effectively eliminates influence of the direction to fault signature, so that fault signature cluster property and validity higher, but also Fault signature extraction is more prone to;
(3) present invention innovatively proposes the method that ink roller bearings at both ends is carried out at the same time monitoring and analysis of vibration signal, by The very noisy generated when printing machine works easily floods the vibration signal of rolling bearing, when an end bearing occurred early stage it is faint It cannot still be found in time during fault signature;But it is compared by analyzing both ends bearing vibration signal, and it is three-dimensional using signal Spectrogram finds exception, improves the precognition and recognition capability to early-stage weak fault, effectively accomplishes that failure early stage indicates;
(4) offset press based on three-dimensional spectrum analysis that the present invention is researched and proposed for the fault characteristic of top roller bearing system Ink roller method for diagnosing faults is provided for new Research Thinking.Printing machine ink path system structure is complicated, multiple ink roller phase mutual connections Transmission is touched, interacts and generates between each parts;The present invention is by putting forward ink roller bearings at both ends progress signal acquisition and feature It takes, other interference signals is efficiently separated so as to obtain preferable fault signature, using neural network model to fault-signal feature Quick and precisely classify, realize the efficient diagnosis of top roller bearing failure.
Description of the drawings
Fig. 1 is the printing machine fault diagnosis model of the method for the present invention.
Specific embodiment
The present invention is described in detail with reference to the accompanying drawings and detailed description.
The present invention is a kind of ink roller of offset printing machine method for diagnosing faults based on three-dimensional spectrum analysis, as shown in Figure 1, specifically pressing Implement according to following steps:
Step 1, vibration signal of the printing machine rubber roller bearings at both ends under normal condition and malfunction is gathered, is built simultaneously With the corresponding emulation signal of fault-signal;
Printing machine rubber roller bearings at both ends is gathered by high--speed multi--channel data acquisition system and acceleration transducer in step 1 Vibration signal under normal condition and malfunction;The emulation obtained by programming software under different types of faults state is believed Number;Malfunction in step 1 includes:One kind in bearing inner race malfunction, outer ring malfunction, rolling element malfunction It is or several;
Step 2, the vibration signal that collects and corresponding emulation signal are analyzed and handled, establish vibration signal and Emulate the 3-D view of signal;
Step 2 specifically includes following steps:
Step 2.1, it is original to input vibration signal of the printing machine rubber roller bearings at both ends of acquisition under normal and malfunction Beginning signal x (t) finds the Local modulus maxima of original signal x (t) and the coenvelope with Cubic Spline Functions Fitting into former data Line P, then find out all minimum points and it is used into cubic spline interpolation into lower envelope line Q;
Step 2.2, in calculating lower envelope average, be denoted as m (t):
Step 2.3, it is worth to one-component h (t) with what original signal x (t) subtracted envelope
H (t)=x (t)-m (t) (2)
Step 2.4, when component meet h (t) on time shaft Local Symmetric and | h (t) extreme point number-h (t) zero points Number | during≤1 requirement, IMF components will be just saved as, are denoted as c (t);H (t) is expressed as inputting if being unsatisfactory for IMF definition Signal repeats step 2.1~step 2.3, until meeting EMD requirements;
Step 2.5, c (t) is subtracted from original signal x (t), obtains residual signal r (t)
R (t)=x (t)-c (t) (3)
Step 2.6, step 2.1~step 2.5 is carried out using residual signal r (t) as original signal, until n-th order cannot IMF extractions are carried out again, and most original signal is expressed as at last:
The Hilbert of x (t) converts y (t):
In formula (5), PV is Cauchy's principal value, and τ is time variable;
Analytic signal z (t) corresponding to x (t) is:
Z (t)=x (t)+iy (t)=a (t) eiθ(t) (6)
In formula (6), a (t) is known as the instantaneous amplitude of original signal x (t), and θ (t) is known as the instantaneous phase of original signal x (t)
Step 2.7, Hilbert conversion is carried out to every single order IMF of original signal x (t), obtains signal transient frequency:
Step 2.8, the vibration signal and vibration signal that collect are converted respectively using HHT algorithms, is corresponded to Amplitude over time-frequency 3-D view;
Step 3, feature extraction is carried out to the 3-D view of vibration signal using the method for gray level co-occurrence matrixes, and to gray scale The grain direction feature of co-occurrence matrix is weighted processing;
Step 3 specifically includes following steps:
Step 3.1, the three-dimensional time-frequency image of vibration signal is mapped on X-Y scheme, vibration is replaced with the light and shade of gray scale Amplitude;
Step 3.2, the gray level co-occurrence matrixes of two-dimensional map are calculated, four gray features on four direction are carried It takes, obtains the eigenmatrix of image;
Step 3.3, processing is weighted to the grain direction of eigenmatrix, to eliminate influence of the direction to diagnostic result, The description characteristics of image of comprehensive and reasonable;
Step 3.3 concretely comprises the following steps,
Step 3.3.1 selects entropy to ask entropy flat on 0 °, 45 °, 90 °, 135 ° of four directions as fault signature Average:
Step 3.3.2 calculates weight of the entropy on 0 °, 45 °, 90 °, 135 ° of four directions:
Step 3.3.3 combines the characteristic value of 0 °, 45 °, 90 °, 135 ° four direction according to weight factor, obtains at weighting Feature vector after reason:
Step 3.3.4 passes through weighting treated feature vector drawing image characteristic statistics figure;
Step 4, classification is identified to weighting processed feature using BP neural network respectively, difference is recognized accurately The feature of failure, so as to complete the fault diagnosis of printing machine;
Step 4 specifically includes following steps:
Step 4.1, input layer unit number n is determined, since the present invention devises four kinds of states and obtains four gray features Value is used as input, therefore n=4;
Step 4.2, determine output layer unit number m, ensure that each input sample has different vectors to correspond to, therefore m =4;
Step 4.3, three layers of hidden layer BP neural network are chosen and carries out fault diagnosis.
Therefore, the present invention proposes a kind of ink roller of offset printing machine method for diagnosing faults based on three-dimensional spectrum analysis, by simultaneously It gathers ink roller bearings at both ends vibration signal to carry out, when top roller bearing one end is broken down, three-dimensional characteristics of image will appear from different Often, by comparing the three-dimensional spectral characteristic of bearings at both ends signal, the form of expression of abnormality is amplified, so as to beneficial to discovery early stage Weak fault improves the timeliness and accuracy rate of fault diagnosis.
It is an advantage of the invention that:
(1) present invention carries out EMD processing to bearing vibration signal using HHT methods and obtains IMF components, to IMF points Amount carries out Hilbert conversion, obtains the Energy distribution graphics of vibration signal, compared with general two-dimensional time-domain frequency domain figure, shakes Width-time-frequency three-dimensional spectrum more intuitively embodies signal frequency range and the distribution of energy, can observe amplitude simultaneously At any time, the trend of frequency variation all has preferable temporal resolution simultaneously for low frequency, high-frequency signal, can be complete The feature of original signal is shown, is laid the foundation for the feature extraction of 3-D view;
(2) the present invention is based on the gray scale depth is utilized to replace amplitude height that will vibrate graphics on the basis of gray level co-occurrence matrixes As being mapped as two dimensional gray figure, and the vibrational image gray feature collected by different directions is weighted with weight factor Processing, effectively eliminates influence of the direction to fault signature, so that fault signature cluster property and validity higher, but also Fault signature extraction is more prone to;
(3) present invention innovatively proposes the method that ink roller bearings at both ends is carried out at the same time monitoring and analysis of vibration signal, by The very noisy generated when printing machine works easily floods the vibration signal of rolling bearing, when an end bearing occurred early stage it is faint It cannot still be found in time during fault signature;But it is compared by analyzing both ends bearing vibration signal, and it is three-dimensional using signal Spectrogram finds exception, improves the precognition and recognition capability to early-stage weak fault, effectively accomplishes that failure early stage indicates;
(4) offset press based on three-dimensional spectrum analysis that the present invention is researched and proposed for the fault characteristic of top roller bearing system Ink roller method for diagnosing faults is provided for new Research Thinking.Printing machine ink path system structure is complicated, multiple ink roller phase mutual connections Transmission is touched, interacts and generates between each parts;The present invention is by putting forward ink roller bearings at both ends progress signal acquisition and feature It takes, other interference signals is efficiently separated so as to obtain preferable fault signature, using neural network model to fault-signal feature Quick and precisely classify, realize the efficient diagnosis of top roller bearing failure.

Claims (6)

1. a kind of ink roller of offset printing machine method for diagnosing faults based on three-dimensional spectrum analysis, which is characterized in that specifically according to following step It is rapid to implement:
Step 1, vibration signal of the printing machine rubber roller bearings at both ends under normal condition and malfunction is gathered, while is built and event Hinder the corresponding emulation signal of signal;
Step 2, the vibration signal and corresponding emulation signal that collect are analyzed and handled, establish vibration signal and emulation The 3-D view of signal;
Step 3, feature extraction is carried out to the 3-D view of vibration signal using the method for gray level co-occurrence matrixes, and to gray scale symbiosis The grain direction feature of matrix is weighted processing;
Step 4, classification is identified to weighting processed feature using BP neural network respectively, different faults is recognized accurately Feature, so as to complete the fault diagnosis of printing machine.
2. a kind of ink roller of offset printing machine method for diagnosing faults based on three-dimensional spectrum analysis according to claim 1, feature It is, printing machine top roller bearing is rolling bearing in step 1;
Printing machine rubber roller bearings at both ends is gathered just by high--speed multi--channel data acquisition system and acceleration transducer in step 1 Vibration signal under normal state and malfunction;Emulation signal under different types of faults state is obtained by programming software;
Malfunction in step 1 includes:One in bearing inner race malfunction, outer ring malfunction, rolling element malfunction Kind is several.
3. a kind of ink roller of offset printing machine method for diagnosing faults based on three-dimensional spectrum analysis according to claim 1, feature It is, step 2 specifically includes following steps:
Step 2.1, it is original letter to input vibration signal of the printing machine top roller bearing both ends of acquisition under normal and malfunction Number x (t), finds the Local modulus maxima of original signal x (t) and the coenvelope line P with Cubic Spline Functions Fitting into former data, All minimum points are found out again and it is used into cubic spline interpolation into lower envelope line Q;
Step 2.2, in calculating lower envelope average, be denoted as m (t):
<mrow> <mi>m</mi> <mrow> <mo>(</mo> <mi>t</mi> <mo>)</mo> </mrow> <mo>=</mo> <mfrac> <mrow> <mi>P</mi> <mo>+</mo> <mi>Q</mi> </mrow> <mn>2</mn> </mfrac> <mo>-</mo> <mo>-</mo> <mo>-</mo> <mrow> <mo>(</mo> <mn>1</mn> <mo>)</mo> </mrow> </mrow>
Step 2.3, it is worth to one-component h (t) with what original signal x (t) subtracted envelope
H (t)=x (t)-m (t) (2)
Step 2.4, when component meet h (t) on time shaft Local Symmetric and | h (t) extreme point number-h (t) zero numbers |≤ During 1 requirement, IMF components will be just saved as, are denoted as c (t);H (t) is expressed as input signal if being unsatisfactory for IMF definition Step 2.1~step 2.3 is repeated, until meeting EMD requirements;
Step 2.5, c (t) is subtracted from original signal x (t), obtains residual signal r (t)
R (t)=x (t)-c (t) (3)
Step 2.6, using residual signal r (t) as original signal carry out step 2.1~step 2.5, until N ranks cannot again into Row IMF is extracted, and most original signal is expressed as at last:
<mrow> <mi>x</mi> <mrow> <mo>(</mo> <mi>t</mi> <mo>)</mo> </mrow> <mo>=</mo> <munderover> <mi>&amp;Sigma;</mi> <mrow> <mi>j</mi> <mo>=</mo> <mn>1</mn> </mrow> <mi>n</mi> </munderover> <msub> <mi>c</mi> <mi>j</mi> </msub> <mrow> <mo>(</mo> <mi>t</mi> <mo>)</mo> </mrow> <mo>+</mo> <msub> <mi>r</mi> <mi>n</mi> </msub> <mrow> <mo>(</mo> <mi>t</mi> <mo>)</mo> </mrow> <mo>-</mo> <mo>-</mo> <mo>-</mo> <mrow> <mo>(</mo> <mn>4</mn> <mo>)</mo> </mrow> </mrow>
The Hilbert of x (t) converts y (t):
<mrow> <mi>y</mi> <mrow> <mo>(</mo> <mi>t</mi> <mo>)</mo> </mrow> <mo>=</mo> <mfrac> <mn>1</mn> <mi>&amp;pi;</mi> </mfrac> <mi>P</mi> <mi>V</mi> <mo>&amp;Integral;</mo> <mfrac> <mrow> <mi>x</mi> <mrow> <mo>(</mo> <mi>&amp;tau;</mi> <mo>)</mo> </mrow> </mrow> <mrow> <mi>t</mi> <mo>-</mo> <mi>&amp;tau;</mi> </mrow> </mfrac> <mi>d</mi> <mrow> <mo>(</mo> <mi>&amp;tau;</mi> <mo>)</mo> </mrow> <mo>-</mo> <mo>-</mo> <mo>-</mo> <mrow> <mo>(</mo> <mn>5</mn> <mo>)</mo> </mrow> </mrow>
In formula (5), PV is Cauchy's principal value, and τ is time variable;
Analytic signal z (t) corresponding to x (t) is:
Z (t)=x (t)+iy (t)=a (t) eiθ(t) (6)
In formula (6), a (t) is known as the instantaneous amplitude of original signal x (t), and θ (t) is known as the instantaneous phase of original signal x (t)
<mrow> <mi>a</mi> <mrow> <mo>(</mo> <mi>t</mi> <mo>)</mo> </mrow> <mo>=</mo> <msqrt> <mrow> <msup> <mi>x</mi> <mn>2</mn> </msup> <mrow> <mo>(</mo> <mi>t</mi> <mo>)</mo> </mrow> <mo>+</mo> <msup> <mi>y</mi> <mn>2</mn> </msup> <mrow> <mo>(</mo> <mi>t</mi> <mo>)</mo> </mrow> </mrow> </msqrt> <mo>-</mo> <mo>-</mo> <mo>-</mo> <mrow> <mo>(</mo> <mn>7</mn> <mo>)</mo> </mrow> </mrow>
<mrow> <mi>&amp;theta;</mi> <mrow> <mo>(</mo> <mi>t</mi> <mo>)</mo> </mrow> <mo>=</mo> <mi>arctan</mi> <mo>&amp;lsqb;</mo> <mfrac> <mrow> <mi>y</mi> <mrow> <mo>(</mo> <mi>t</mi> <mo>)</mo> </mrow> </mrow> <mrow> <mi>x</mi> <mrow> <mo>(</mo> <mi>t</mi> <mo>)</mo> </mrow> </mrow> </mfrac> <mo>&amp;rsqb;</mo> <mo>-</mo> <mo>-</mo> <mo>-</mo> <mrow> <mo>(</mo> <mn>8</mn> <mo>)</mo> </mrow> </mrow>
Step 2.7, Hilbert conversion is carried out to every single order IMF of original signal x (t), obtains signal transient frequency:
<mrow> <mi>&amp;omega;</mi> <mrow> <mo>(</mo> <mi>t</mi> <mo>)</mo> </mrow> <mo>=</mo> <mi>R</mi> <mo>{</mo> <munderover> <mi>&amp;Sigma;</mi> <mrow> <mi>i</mi> <mo>=</mo> <mn>1</mn> </mrow> <mi>n</mi> </munderover> <msub> <mi>a</mi> <mi>i</mi> </msub> <mrow> <mo>(</mo> <mi>t</mi> <mo>)</mo> </mrow> <msup> <mi>e</mi> <mrow> <mi>i</mi> <mo>&amp;Integral;</mo> <msub> <mi>&amp;omega;</mi> <mi>i</mi> </msub> <mrow> <mo>(</mo> <mi>t</mi> <mo>)</mo> </mrow> <mi>d</mi> <mi>t</mi> </mrow> </msup> <mo>}</mo> <mo>-</mo> <mo>-</mo> <mo>-</mo> <mrow> <mo>(</mo> <mn>9</mn> <mo>)</mo> </mrow> </mrow>
Step 2.8, sampled by software programming, the vibration signal collected is converted respectively using HHT algorithms, obtained pair The amplitude over time answered-frequency 3-D view.
4. a kind of ink roller of offset printing machine method for diagnosing faults based on three-dimensional spectrum analysis according to claim 1, feature It is, step 3 specifically includes following steps:
Step 3.1, the three-dimensional time-frequency image of vibration signal is mapped on X-Y scheme, the width of vibration is replaced with the light and shade of gray scale Value;
Step 3.2, the gray level co-occurrence matrixes of two-dimensional map are calculated, to four gray scales on 0 °, 45 °, 90 °, 135 ° of four directions Feature extracts, and obtains the eigenmatrix of image;
Step 3.3, processing is weighted to the grain direction of eigenmatrix, to eliminate influence of the direction to diagnostic result, comprehensively Rational description characteristics of image.
5. a kind of ink roller of offset printing machine method for diagnosing faults based on three-dimensional spectrum analysis according to claim 4, feature It is, step 3.3 concretely comprises the following steps,
Step 3.3.1 selects entropy to seek average value of the entropy on 0 °, 45 °, 90 °, 135 ° of four directions as fault signature:
Step 3.3.2 calculates weight of the entropy on 0 °, 45 °, 90 °, 135 ° of four directions:
<mrow> <msub> <mi>kk</mi> <mi>i</mi> </msub> <mo>=</mo> <mfrac> <msub> <mi>M</mi> <msub> <mi>E</mi> <mi>i</mi> </msub> </msub> <mrow> <munder> <mo>&amp;Sigma;</mo> <mi>i</mi> </munder> <msub> <mi>M</mi> <msub> <mi>E</mi> <mi>i</mi> </msub> </msub> </mrow> </mfrac> <mo>-</mo> <mo>-</mo> <mo>-</mo> <mrow> <mo>(</mo> <mn>10</mn> <mo>)</mo> </mrow> </mrow>
Step 3.3.3 combines the characteristic value of 0 °, 45 °, 90 °, 135 ° four direction according to weight factor, after obtaining weighting processing Feature vector:
<mrow> <msup> <mi>E</mi> <mo>&amp;prime;</mo> </msup> <mo>=</mo> <munder> <mo>&amp;Sigma;</mo> <mi>i</mi> </munder> <msub> <mi>kk</mi> <mi>i</mi> </msub> <mo>&amp;times;</mo> <msub> <mi>E</mi> <mi>i</mi> </msub> <mo>-</mo> <mo>-</mo> <mo>-</mo> <mrow> <mo>(</mo> <mn>11</mn> <mo>)</mo> </mrow> </mrow>
Step 3.3.4 passes through weighting treated feature vector drawing image characteristic statistics figure.
6. a kind of ink roller of offset printing machine method for diagnosing faults based on three-dimensional spectrum analysis according to claim 1, feature It is, step 4 specifically includes following steps:
Step 4.1, input layer unit number n is determined;
Step 4.2, output layer unit number m is determined;
Step 4.3, three layers of hidden layer BP neural network are chosen and carries out fault diagnosis.
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