CN102879473B - System for recognition of fatigue damage state of AZ31 magnesium alloy based on PCA (principal component analysis) and TDF (tactical data fusion) - Google Patents

System for recognition of fatigue damage state of AZ31 magnesium alloy based on PCA (principal component analysis) and TDF (tactical data fusion) Download PDF

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CN102879473B
CN102879473B CN201210371209.XA CN201210371209A CN102879473B CN 102879473 B CN102879473 B CN 102879473B CN 201210371209 A CN201210371209 A CN 201210371209A CN 102879473 B CN102879473 B CN 102879473B
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data space
fatigue damage
dimension
information
fatigue
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CN102879473A (en
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骆红云
李军荣
韩志远
孙传凯
张峥
钟群鹏
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Beihang University
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Abstract

The invention discloses a system for recognition of a fatigue damage state of an AZ31 magnesium alloy based on PCA (principal component analysis) and TDF (tactical data fusion). The system comprises a plurality of acoustic emission transducers (6), multiple preamplifiers (5), an acoustic emission device (4) and an AZ31 magnesium alloy fatigue damage detecting unit (1). The AZ31 magnesium alloy fatigue damage detecting unit (1) comprises a filtering module (11), a first-level data fusion module (12) and a second-level data fusion module (13). Principal component analysis and type of fatigue damage are combined, a neural network is trained in a data space to obtain a mark of damage degree in the data space of each transducer, and partial diagnosis is performed to each acoustic emission transducer by the mark of damage degree. An elementary probability value of data fusion is constructed by output result of the neural network. Finally, the fatigue damage state is diagnosed by a combination relation of data fusion. The damage state can be recognized and diagnosed in the fatigue process of the AZ31 magnesium alloy, and basis is further provided for stable operation of the system.

Description

Based on PCA and TDF, AZ31 magnesium alloy is carried out to the recognition system of Fatigue Damage States
Technical field
The present invention relates to a kind of in-service AZ31 magnesium alloy Fatigue Damage States during one's term of military service be known to method for distinguishing.More particularly, refer to and a kind ofly to the data of acoustic emission transducer collection, first adopt principal component analysis (PCA) (PCA) to build different data spaces according to its damage type, the training of carrying out neural network in data space obtains the injury tolerance Sign module of each transducer in data space, then apply this module the acoustic emission data of in-service AZ31 magnesium alloy Real-time Collection are carried out to two-stage data fusion (TDF), thereby identify in-service AZ31 magnesium alloy, belong to which kind of Fatigue Damage States.
Background technology
In recent years, magnesium-alloy material output up to 20%, becomes the material receiving much concern in global annual growth.Magnesium alloy has demonstrated great application prospect at industrial circles such as the vehicles, electronics and communication product, Aero-Space, chemical industry and machineries.AZ31 magnesium alloy, refers to the magnesium alloy containing Al 3%, Zn 1% (wt%), is current commercial applications wrought magnesium alloy the most widely.AZ31 magnesium alloy can be squeezed into bar, tubing, section bar, can be rolled into thin plate, slab, also can be processed into forging, is mainly used in the aspects such as automobile, Aero-Space parts, weapons.
AZ31 magnesium alloy under arms afterwards damage be the one of the main reasons that causes its inefficacy, to identify its faulted condition for this reason, in time, correctly evaluate the Fatigue Damage States of AZ31 magnesium alloy, for its safe operation and life prediction provide foundation.
Acoustic emission (Acoustic Emission Technique), because having the advantages such as dynamic, real-time detection, has been widely used in the damage check of structure and member.Practice shows, material is in the different phase of fatigue process, can there are a series of different variations in its characteristics of Acoustic Emission, that is to say the fatigue damage stage that AZ31 magnesium alloy is different, different acoustic emission signals will be had, and the transformation of faulted condition, often cause the variation of a plurality of parameters of acoustic emission, simultaneously a certain parameter changes and can be caused by multiple faulted condition again, so be necessary to adopt the Data fusion technique of many acoustic emission transducers, make full use of many acoustic emission transducers data resource in different time and space, adopt computer technology to the many acoustic emission transducers observation data obtaining by time series, under certain criterion, analyze, comprehensively, domination and use, acquisition is explained the consistance of measurand and is described, and then realize corresponding decision-making and estimation, system is obtained than its each ingredient information more fully.Therefore the present invention introduces Data fusion technique in AZ31 magnesium alloy faulted condition recognition system, sets up principal component analysis (PCA), and the diagnostic system that data fusion and artificial neural network combine is identified, diagnosed AZ31 magnesium alloy faulted condition.
Principal component analysis (PCA) also claims principal component analysis.Principal component analysis (PCA) utilizes the thought of dimensionality reduction, a plurality of indexs is converted into the multivariate statistical method of several overall targets under the prerequisite of loss little information.Conventionally the index changing into is called to major component, wherein each major component is the linear combination of original variable, and uncorrelated mutually between each major component, makes major component have some more superior performance than original variable." principal component analysis (PCA) " quotes publishing house of the Renmin University of China in the < < multivariate statistical analysis > of the 2nd edition publication September in 2008 >, the content introduction of the 152nd page to the 154th page.
Neural network is an a kind of nonlinear system of the people's of simulation thinking.Radial basis function (RBF) neural network is that basis has local modulation in people's cortex and overlapping receptive field proposes, and is called again local receptive field neural network.It is a kind of three layers of feed-forward type network model that comprise input layer, hidden layer and output layer.Because RBF network structure is simple, and have the ability of approaching arbitrary continuation function with arbitrary accuracy, learning rate is fast, so be more and more widely used in every field.
Summary of the invention
The personnel's injury, equipment loss and the economic loss that in order to reduce AZ31 magnesium alloy, in use happen suddenly and rupture and cause, the present invention proposes a kind of employing principal component analysis (PCA), and the method that neural network and two-stage data fusion combine is identified the Fatigue Damage States of in-service AZ31 magnesium alloy.First this fatigue state recognition system adopts principal component analysis (PCA) to build two data spaces to different damage data in training sample, the information that adopts neural net method to collect multi-Channel Acoustic transmitting transducer is carried out neural metwork training under two data spaces, obtains for judging the injury tolerance Sign module of AZ31 magnesium alloy different fatigue faulted condition; Then the neural network output of this module under two data spaces is carried out carrying out one-level data fusion after basic probability assignment, again a plurality of transducer one-level data fusion results are carried out to secondary data fusion, obtain data fusion module, and then data fusion module is embedded in AZ31 Fatigue of Magnesium Alloys recognition system.Be embedded with data fusion module of the present invention in working order under, can identify in-service AZ31 magnesium alloy different fatigue faulted condition, and the result identifying is made to early warning.
The present invention is a kind of employing principal component analysis (PCA), the technology that neural network and data fusion combine carries out to AZ31 magnesium alloy the recognition system that Fatigue Damage States is identified, this system includes a plurality of acoustic emission transducers (6), multichannel prime amplifier (5), an Acoustic radiating instrument (4), it is characterized in that: also include an AZ31 Fatigue of Magnesium Alloys damage check unit (1);
AZ31 Fatigue of Magnesium Alloys damage check unit (1) includes filtering module (11) and one-level data fusion module (12), secondary data Fusion Module (13), wherein, filtering module (11) has data filtering processing module (11A) and waveform filtering processing module (11B), one-level data fusion module (12) has the first data space (12A), the second data space (12B), the first injury tolerance Sign module (12C), the second injury tolerance Sign module (12D), D-S Evidence Combination Methods module (12E);
Acoustic emission transducer (6) and prime amplifier (5) are for supporting the use, the output terminal that is each acoustic emission transducer (6) is connected with the input end of a prime amplifier (5), the output terminal of each prime amplifier (5) is connected on the input information interface of Acoustic radiating instrument (4), and this input information interface is used for receiving multichannel demblee form amplification message aZ31 Fatigue of Magnesium Alloys damage check unit (1) is embedded in the storer of Acoustic radiating instrument (4);
Acoustic emission transducer (6), for gathering in-service AZ31 magnesium alloy at acquisition time T xdemblee form information burst type information in section
Prime amplifier (5), for the demblee form information to receiving after amplifying 40dB, become demblee form amplification message
Acoustic radiating instrument (4) is for the demblee form amplification message to receiving after A/D conversion, become digital demblee form information export to AZ31 Fatigue of Magnesium Alloys damage check unit (1);
Data filtering processing module (11A) in the filtering module (11) of AZ31 Fatigue of Magnesium Alloys damage check unit (1) is to the digital demblee form information receiving carry out parametric filtering, filter after electromagnetic noise and neighbourhood noise, purify and obtain acoustic emission fatigue damage preliminary information then waveform filtering processing module (11B) is to acoustic emission fatigue damage preliminary information carry out waveform filtering, obtain acoustic emission fatigue damage information f 11 B T X = ( e , A , C , R , D ) ;
Transducer is received to the fatigue damage information of AZ31 magnesium alloy carry out acquisition time T xaccumulated process in section, then normalization obtains normalization accumulation of fatigue damage information f 11B', by f 11B' at the first data space (12A) and the lower projection of the second data space (12B), obtain score matrix f separately respectively 12A=(t a1, t a2, t a3, t a4, t a5) and f 12B=(t b1, t b2, t b3, t b4, t b5), score matrix f 12A=(t a1, t a2, t a3, t a4, t a5) through the first injury tolerance Sign module (12C) processing, obtain the neural network output f in the first data space 12C=[f iD, a(A 1) f iD, a(A 2)], score matrix f 12B=(t b1, t b2, t b3, t b4, t b5) through the second injury tolerance Sign module (12D), process the neural network output f obtaining in the second data space 12D=[f iD, b(A 1) f iD, b(A 2)]; By f 12Cand f 12Dcarry out carrying out basic probability assignment after the related coefficient assignment of each node, then carry out D-S Evidence Combination Methods module (12E) and process the data fusion result m that obtains single transducer iD(B j), then D-S Evidence Combination Methods module (12E) result of all transducers is carried out to secondary data fusion (13) obtain data fusion result m (C j), this result is exported fatigue damage identifying information D to alarm unit (3) after resolve damage grade evaluation unit (2).
The present invention is a kind of according to acoustic emission information, adopt neural network, under the data space of principal component analysis (PCA) structure, faulted condition is carried out to part identification, then application data integration technology is carried out two-stage fusion to Neural Network Diagnosis result, identifying and diagnosing goes out the final Fatigue Damage States of AZ31 magnesium alloy, and the advantage of this recognition system is:
(A) capture card in employing Acoustic radiating instrument is to being used acoustic emission information (the energy e of the acoustic emission transducer on AZ31 magnesium alloy after a while s, measuring amplitude A s, Ring-down count C s, rise time R s, duration D s) gather, and the input information using this relevant information as the recognition system of acoustic emission neural network, make the present invention in acoustic emission detection process, can be by Acoustic radiating instrument to acoustic emission transducer information, then according to the variation of acoustic emission information parameter and waveform, identifying is damage information, or noise information.
(B) according to tired damage mode type, adopt principal component analysis (PCA) to construct different data spaces, by neural network, under each data space, faulted condition is carried out to part identification, through two-stage data fusion output diagnostic result, the difference that takes full advantage of signal between different type of impairments is identified damage mode.
(C) can be comprehensive, arrange and use Monitoring Data a plurality of, polytype acoustic emission transducer, make full use of the information of each acoustic emission transducer, increased reliability and the accuracy of diagnostic result, improved the adaptive faculty of diagnostic system.
(D) the comprehensive identifying and diagnosing system that neural network and Data-Fusion theory combine, has certain fault-tolerant ability, can meet the requirement of steel construction complication system damage.
Accompanying drawing explanation
Fig. 1 is AZ31 Fatigue of Magnesium Alloys damage recognition system structured flowchart.
Fig. 2 is the structured flowchart of AZ31 Fatigue of Magnesium Alloys damage check of the present invention unit.
Embodiment
Below in conjunction with drawings and Examples, the present invention is described in further detail.
In Fatigue Damage States pattern, include: the stable expansion of fatigue crack faulted condition, fatigue crack unstable propagation faulted condition.In-service bearing member is generally worked under the stable expansion of fatigue crack faulted condition, when in fatigue crack unstable propagation faulted condition, this bearing member damage is more serious, user should carry out real-time emphasis detection, monitoring or replacing to bearing member, therefore bearing member is carried out to Fatigue Damage States and detect and can prevent and the generation of minimizing accident, the personnel's injury, equipment loss and the economic loss that to reduce burst fracture, cause.
Shown in Fig. 1, Fig. 2, for the fatigue damage recognition system of AZ31 magnesium alloy, generally by a plurality of acoustic emission transducer 6(, also claim sensor), multichannel prime amplifier 5, Acoustic radiating instrument 4, AZ31 Fatigue of Magnesium Alloys damage check unit 1, damage grade evaluation unit 2 and an alarm unit 3 form; Wherein, AZ31 Fatigue of Magnesium Alloys damage check unit 1 includes filtering module 11 and one-level data fusion module 12, secondary data Fusion Module 13;
Wherein, filtering module 11 includes data filtering processing module 11A and waveform filtering processing module 11B;
Wherein, one-level data fusion module 12 includes the first data space 12A, the second data space 12B, the first injury tolerance Sign module 12C, the second injury tolerance Sign module 12D, D-S Evidence Combination Methods module 12E.
AZ31 Fatigue of Magnesium Alloys damage check unit 1 adopts Matlab language (version R2011b) exploitation.AZ31 Fatigue of Magnesium Alloys damage check unit 1 is embedded in the storer of Acoustic radiating instrument 4.
In the present invention, acoustic emission transducer 6 and prime amplifier 5 are for supporting the use, the output terminal that is each acoustic emission transducer 6 is connected with the input end of a prime amplifier 5, the output terminal of each prime amplifier 5 is connected on the input information interface of Acoustic radiating instrument 4, and this input information interface is used for receiving multichannel demblee form amplification message
In the present invention, Acoustic radiating instrument 4 is chosen the DiSP acoustic emission system that U.S. PAC company produces, acoustic emission transducer 6 is chosen CZ series or the WD series acoustic emission transducer that U.S. PAC company produces, and multichannel prime amplifier 5 is chosen the 2/4/6 type prime amplifier that U.S. PAC company produces.
In the present invention, utilize acoustic emission transducer 6 at acquisition time T xwhile carrying out information acquisition in section, not only damage information is gathered, also noise (neighbourhood noise, electromagnetic noise, mechanical friction noise) is gathered (is e simultaneously s, A s, C s, R s, D sin information, be comprise noisy), therefore, in the present invention, adopted data filtering and waveform filtering to carry out denoising to the information gather obtaining.Its object of such denoising is to obtain required for the present invention for carrying out five parameters of fatigue damage monitoring: i.e. energy e s, measuring amplitude A s, Ring-down count C s, rise time R swith duration D s.
(1) acoustic emission transducer 6
Acoustic emission transducer 6 is for gathering the demblee form information S on in-service AZ31 magnesium alloy n.In the present invention, for the number of acoustic emission transducer 6 required settings, take its sensing scope as 40cm~100cm/.The information that acoustic emission transducer 6 is collected adopts set form to be expressed as: demblee form information S n={ e s, A s, C s, R s, D s, e srepresent energy, A srepresent measuring amplitude, C srepresent Ring-down count, R srepresent rise time and D srepresent the duration.
In the present invention, first acquisition time is designated as T 1, second acquisition time be designated as T 2..., last acquisition time T x, for convenience of description, last acquisition time T xalso referred to as any acquisition time T x.
In the present invention, at acquisition time T xthe demblee form information table that in section, acoustic emission transducer 6 collects is shown if first acquisition time T 1the demblee form information obtaining is designated as in like manner can obtain, if second acquisition time T 2the demblee form information obtaining is designated as S n T 2 = { e S , A S , C S , R S , D S } .
(2) prime amplifier 5
Prime amplifier 5 is for the demblee form information to receiving after amplifying 40dB, become demblee form amplification message
(3) Acoustic radiating instrument 4
Acoustic radiating instrument 4 is in the demblee form amplification message to receiving after A/D conversion, become digital demblee form information export to AZ31 Fatigue of Magnesium Alloys damage check unit 1, in Acoustic radiating instrument 4, certainly have A/D converter.De srepresentative digit formula energy, dA srepresentative digit formula measuring amplitude, dC srepresentative digit formula Ring-down count, dR srepresentative digit formula rise time and dD sthe representative digit formula duration.
(4) data filtering processing module 11A
In the present invention, data filtering processing module 11A is to the digital demblee form information receiving carry out parametric filtering, filter after electromagnetic noise and neighbourhood noise, purify and obtain fatigue damage preliminary information e0 refers to digital energy de senergy after parametric filtering (being called for short parametric filtering energy), A 0refer to digital measurement amplitude dA smeasuring amplitude after parametric filtering (being called for short parametric filtering amplitude), C 0refer to digital Ring-down count dC sring-down count after parametric filtering (being called for short parametric filtering Ring-down count), R 0refer to digital rise time dR srise time after parametric filtering (being called for short the parametric filtering rise time), D 0refer to digital duration dD sduration after parametric filtering (being called for short the parametric filtering duration).
(5) waveform filtering processing module 11B
In the present invention, waveform filtering processing module 11B is to the fatigue damage preliminary information receiving carry out waveform filtering, obtain fatigue damage information e refers to parametric filtering energy e 0through the filtered energy of waveform (being called for short waveform filtering energy), A refers to parametric filtering amplitude A 0through the filtered amplitude of waveform (being called for short waveform filtered amplitude), C refers to parametric filtering Ring-down count C 0through the filtered Ring-down count of waveform (referred to as waveform filtering Ring-down count), R refers to parametric filtering rise time R 0through the filtered rise time of waveform (referred to as the waveform filtering rise time), D refers to parametric filtering duration D 0through the filtered duration of waveform (being called for short the waveform filtering duration).
In the present invention, fatigue damage information first aspect is carried out RBF neural metwork training for the first injury tolerance Sign module 12C, obtains the first injury tolerance sign model; Second aspect is carried out RBF neural metwork training for the second injury tolerance Sign module 12D, obtains the second injury tolerance sign model; The third aspect is carried out projection process for the first data space 12A, obtains the first score matrix; Fourth aspect is carried out projection process for the second data space 12B, obtains the second score matrix.For fatigue damage information rBF neural metwork training to carry out before the first data space 12A and the second data space 12B.
(6) first data space 12A
The first data space 12A first aspect is to the fatigue damage information receiving carry out place acquisition time T xaccumulated process in section, obtains accumulating rear fatigue damage information ACf 11 B T X = ( e , A , C , R , D ) ;
The first data space 12A second aspect is to accumulating rear fatigue damage information ACf 11 B T X = ( e , A , C , R , D ) According to Normalized Relation f 11 B &prime; = ACf 11 B T X - ACf 11 B T X &OverBar; &sigma; ACf 11 B T X Process, obtain normalization accumulation of fatigue damage information f 11B'; The mean value of fatigue damage information the standard deviation that represents accumulation of fatigue damage information;
The first data space 12A third aspect is to normalization accumulation of fatigue damage information f 11B' according to the first projection relation f 12A=f 11B' * P acarry out projection, obtain the first score matrix f 12A=(t a1, t a2, t a3, t a4, t a5);
P athe eigenmatrix that represents the first data space;
F 12Arepresent to treat the score matrix of diagnostic sample in the first data space, a is the code of the first data space, t a1, t a2, t a3, t a4, t a5represent to treat the score vector of diagnostic sample 5 dimensions in the first data space; t a1represent to treat the score vector of diagnostic sample the 1st dimension in the first data space; t a2represent to treat the score vector of diagnostic sample the 2nd dimension in the first data space; t a3represent to treat the score vector of diagnostic sample the 3rd dimension in the first data space; t a4represent to treat the score vector of diagnostic sample the 4th dimension in the first data space; t a5represent to treat the score vector of diagnostic sample the 5th dimension in the first data space.
(7) second data space 12B
The second data space 12B first aspect is to the fatigue damage information receiving carry out place acquisition time T xaccumulated process in section, obtains accumulating rear fatigue damage information ACf 11 B T X = ( e , A , C , R , D ) ;
The second data space 12B second aspect is to accumulating rear fatigue damage information ACf 11 B T X = ( e , A , C , R , D ) According to Normalized Relation f 11 B &prime; = ACf 11 B T X - ACf 11 B T X &OverBar; &sigma; ACf 11 B T X Process, obtain normalization accumulation of fatigue damage information f 11B'; The mean value of fatigue damage information the standard deviation that represents accumulation of fatigue damage information;
The second data space 12B third aspect is to normalization accumulation of fatigue damage information f 11B' according to the second projection relation f 12B=f 11B' * P bcarry out projection, obtain the second score matrix f 12B=(t b1, t b2, t b3, t b4, t b5);
P bthe eigenmatrix that represents the second data space;
F 12Brepresent to treat the score matrix of diagnostic sample in the second data space, b is the code of the second data space, t b1, t b2, t b3, t b4, t b5represent to treat the score vector of diagnostic sample 5 dimensions in the second data space; t b1represent to treat the score vector of diagnostic sample the 1st dimension in the second data space; t b2represent to treat the score vector of diagnostic sample the 2nd dimension in the second data space; t b3represent to treat the score vector of diagnostic sample the 3rd dimension in the second data space; t b4represent to treat the score vector of diagnostic sample the 4th dimension in the second data space; t b5represent to treat the score vector of diagnostic sample the 5th dimension in the second data space.
(8) first injury tolerance Sign module 12C
In the present invention, fatigue damage recognition system Main Function is that the fatigue crack that identifies AZ31 magnesium alloy is stablized extension phase and fatigue crack unstable propagation stage, so damage data type has two classes in the present invention, i.e. crackle stability types ST and bursting type UT; Described crackle stability types ST refers to that fatigue crack stablizes the damage information of extension phase; Described bursting type UT refers to the damage information in fatigue crack unstable propagation stage.
Obtaining of two kinds of type of impairment RBF train samples: when in-service AZ31 magnesium alloy is only in Crack Fatigue Stable Crack Growth during the stage, by fatigue damage information be designated as crackle stability types fatigue damage information when in-service AZ31 magnesium alloy is only in Crack Fatigue instable growth of crack during the stage, by fatigue damage information be designated as bursting type fatigue damage information
The first injury tolerance Sign module 12C first aspect is to the crackle stability types fatigue damage information receiving carry out place acquisition time T xaccumulated process in section, obtains accumulating rear fatigue damage information ACf ST T X = ( e , A , C , R , D ) ;
The first injury tolerance Sign module 12C second aspect is to accumulating rear fatigue damage information ACf ST T X = ( e , A , C , R , D ) According to Normalized Relation f ST &prime; = ACf ST T X - ACf ST T X &OverBar; &sigma; ACf ST T X Process, obtain crackle stability types normalization accumulation of fatigue damage information f sT'; The mean value of crackle stability types accumulation of fatigue damage information the standard deviation that represents crackle stability types accumulation of fatigue damage information;
The first injury tolerance Sign module 12C third aspect is to crackle stability types normalization accumulation of fatigue damage information f sT' carry out principal component analysis (PCA), obtain the eigenmatrix P of the first data space a=(p a1, p a2, p a3, p a4, p a5);
P a1, p a2, p a3, p a4, p a5the proper vector that represents 5 dimensions in the first data space; p a1the proper vector of the 1st dimension in the first data space; p a2the proper vector of the 2nd dimension in the first data space; p a3the proper vector of the 3rd dimension in the first data space; p a4the proper vector of the 4th dimension in the first data space; p a5the proper vector of the 5th dimension in the first data space;
In the present invention, fatigue damage recognition system is stablized extension phase and fatigue crack unstable propagation during the stage at the fatigue crack of identification AZ31 magnesium alloy, the eigenmatrix P of this first data space aneed citation to carry out projection process to the first data space 12A.
The first injury tolerance Sign module 12C fourth aspect is to normalization accumulation of fatigue damage information f sT' according to the 3rd projection relation Pf 12C=f sT' * P acarry out projection, obtain the 3rd score matrix Pf 12C=(Pt a1, Pt a2, Pt a3, Pt a4, Pt a5);
Pt a1, Pt a2, Pt a3, Pt a4, Pt a5the score vector that represents training sample 5 dimensions in the first data space of crackle stability types; Pt a1the score vector that represents training sample the 1st dimension in the first data space of crackle stability types; Pt a2the score vector that represents training sample the 2nd dimension in the first data space of crackle stability types; Pt a3the score vector that represents training sample the 3rd dimension in the first data space of crackle stability types; Pt a4the score vector that represents training sample the 4th dimension in the first data space of crackle stability types; Pt a5the score vector that represents training sample the 5th dimension in the first data space of crackle stability types.
The first injury tolerance Sign module 12C the 5th aspect is by the 3rd score matrix Pf 12A=(Pt a1, Pt a2, Pt a3, Pt a4, Pt a5) as the input layer information of RBF neural network, and set the output layer information of RBF neural network O ID , tr = 1 0 0 1 , Start RBF neural metwork training, obtain the first injury tolerance sign model M a;
In the present invention, the output layer information of RBF neural network O ID , tr = 1 0 0 1 In [1 0] represent that training sample is the identity code that fatigue crack stablize extended mode, [0 1] expression training sample is the identity code of fatigue crack unstable propagation state.
The first injury tolerance Sign module 12C the 6th aspect adopts M ato the first score matrix f 12A=(t a1, t a2, t a3, t a4, t a5) process, obtain the first injury tolerance parameter f 12C=[f iD, a(A 1) f iD, a(A 2)].
In the present invention, the first injury tolerance Sign module 12C is to the f receiving 12A=(t a1, t a2, t a3, t a4, t a5) carry out after the processing of RBF Learning Algorithm, obtain the first injury tolerance parameter f 12C=[f iD, a(A 1) f iD, a(A 2)]; F wherein iD, a(A 1) represent the neural network output of diagnostic sample the 1st node in the first data space of the transducer that code is ID; f iD, a(A 2) represent the neural network output of diagnostic sample the 2nd node in the first data space of the transducer that code is ID; ID represents the code of acoustic emission transducer, and a is the code of the first data space.
(9) second injury tolerance Sign module 12D
The second injury tolerance Sign module 12D first aspect is to the bursting type fatigue damage information receiving carry out place acquisition time T xaccumulated process in section, obtains accumulating rear fatigue damage information ACf UT T X = ( e , A , C , R , D ) ;
The first injury tolerance Sign module 12C second aspect is to accumulating rear fatigue damage information ACf UT T X = ( e , A , C , R , D ) According to Normalized Relation f UT &prime; = ACf UT T X - ACf UT T X &OverBar; &sigma; ACf UT T X Process, obtain bursting type normalization accumulation of fatigue damage information f uT'; The mean value of fatigue damage information the standard deviation that represents bursting type accumulation of fatigue damage information;
The second injury tolerance Sign module 12D third aspect is to bursting type normalization accumulation of fatigue damage information f uT' carry out principal component analysis (PCA), obtain the eigenmatrix P of the second data space b=(p b1, p b2, p b3, p b4, p b5);
P b1, p b2, p b3, p b4, p b5the proper vector that represents 5 dimensions in the second data space; p b1the proper vector of the 1st dimension in the second data space; p b2the proper vector of the 2nd dimension in the second data space; p b3the proper vector of the 3rd dimension in the second data space; p b4the proper vector of the 4th dimension in the second data space; p b5the proper vector of the 5th dimension in the second data space;
In the present invention, fatigue damage recognition system is stablized extension phase and fatigue crack unstable propagation during the stage at the fatigue crack of identification AZ31 magnesium alloy, the eigenmatrix P of this second data space bneed citation to carry out projection process to the second data space 12B.
The second injury tolerance Sign module 12D fourth aspect is to bursting type normalization accumulation of fatigue damage information f uT' according to the 4th projection relation Pf 12D=f uT' * P bcarry out projection, obtain the 4th score matrix Pf 12D=(Pt b1, Pt b2, Pt b3, Pt b4, Pt b5);
Pt b1, Pt b2, Pt b3, Pt b4, Pt b5the score vector that represents training sample 5 dimensions in the second data space of bursting type; Pt b1the score vector that represents training sample the 1st dimension in the second data space of bursting type; Pt b2the score vector that represents training sample the 2nd dimension in the second data space of bursting type; Pt b3the score vector that represents training sample the 3rd dimension in the second data space of bursting type; Pt b4the score vector that represents training sample the 4th dimension in the second data space of bursting type; Pt b5the score vector that represents training sample the 5th dimension in the second data space of bursting type.
The second injury tolerance Sign module 12D the 5th aspect is by the 4th score matrix Pf 12D=(Pt b1, Pt b2, Pt b3, Pt b4, Pt b5) as the input layer information of RBF neural network, and set the output layer information of RBF neural network O ID , tr = 1 0 0 1 , Start RBF neural metwork training, obtain the first injury tolerance sign model M b;
In the present invention, the output layer information of RBF neural network O ID , tr = 1 0 0 1 In [1 0] represent that training sample is the identity code that fatigue crack stablize extended mode, [0 1] expression training sample is the identity code of fatigue crack unstable propagation state.
The second injury tolerance Sign module 12D the 6th aspect adopts M bto the second score matrix f 12B=(t b1, t b2, t b3, t b4, t b5) process, obtain the second injury tolerance parameter f 12D=[f iD, b(A 1) f iD, b(A 2)].
In the present invention, the first injury tolerance Sign module 12C is to the f receiving 12B=(t b1, t b2, t b3, t b4, t b5) carry out after the processing of RBF Learning Algorithm, obtain the second injury tolerance parameter f 12D=[f iD, b(A 1) f iD, b(A 2)]; F wherein iD, b(A 1) represent the neural network output of diagnostic sample the 1st node in the second data space of the transducer that code is ID; f iD, b(A 2) represent the neural network output of diagnostic sample the 2nd node in the second data space of the transducer that code is ID; ID represents the code of acoustic emission transducer, and b is the code of the second data space.
(10) D-S Evidence Combination Methods module 12E
In the present invention, D-S Evidence Combination Methods module 12E first aspect is to the f receiving 12C=[f iD, a(A 1) f iD, a(A 2)] and f 12D=[f iD, b(A 1) f iD, b(A 2)] according to node related coefficient Q ID , i ( A j ) = | f ID , a ( A 1 ) - 1 | | f ID , a ( A 1 ) - 1 | + | f ID , a ( A 2 ) - 1 | | f ID , a ( A 2 ) - 1 | | f ID , a ( A 1 ) - 1 | + | f ID , a ( A 2 ) - 1 | | f ID , b ( A 1 ) - 1 | | f ID , b ( A 1 ) - 1 | + | f ID , b ( A 2 ) - 1 | | f ID , b ( A 2 ) - 1 | | f ID , b ( A 1 ) - 1 | + | f ID , b ( A 2 ) - 1 | Process, obtain treating diagnostic sample in the first data space and the second data space with the related coefficient Q of each node iD, i(A j);
Q iD, i(A j) represent transducer that code is ID treat diagnostic sample code be in the data space of i (i=a, b) with the related coefficient of node j (j=1,2).
D-S Evidence Combination Methods module 12E second aspect is by basic probability assignment function m ID , i ( A j ) = Q ID , i ( A j ) &Sigma; j = 1 N c Q ID , i ( A j ) + N S &times; ( 1 - R i ) &times; ( 1 - &alpha; i &beta; i ) Each node j (j=1,2) is carried out to basic probability assignment, obtain treating diagnostic sample in the first data space and the second data space with the basic probability assignment value m of each node iD, i(A j).
α wherein i=max{Q iD, i(A j) represent to treat diagnostic sample code be in the data space of i (i=a, b) with the maximum correlation coefficient of node; represent code be in the data space of i (i=a, b) with the apportioning cost of node related coefficient; represent that code is the safety factor of the data space of i (i=a, b); N in the present invention cfor node number, N sfor data space number, be 2; m iD, i(A j) represent that transducer that code is ID receives treat diagnostic sample code be in the data space of i (i=a, b) with the basic probability assignment value of node j (j=1,2).
The D-S Evidence Combination Methods module 12E third aspect is used D-S evidence the first syntagmatic treat diagnostic sample and carry out data fusion with the basic probability assignment value of each node in two data spaces, obtain one-level data fusion value m iD(B j).
N sfor data space number; m iD(B j) represent that transducer that code is ID is in the one-level data fusion value of node j (j=1,2);
(11) second level data fusion module 13
In the present invention, secondary data merges 13 couples of data fusion result m that receive iD(B j) according to D-S evidence the second syntagmatic m ( C j ) = &Sigma; &cap; B j = C j &Pi; j &Element; n m ID ( B j ) 1 - &Sigma; &cap; B j = &phi; &Pi; j &Element; n m ID ( B j ) Process, obtain secondary data fusion results m (C j), C jrepresent the node identification in secondary data Fusion Module.
N is the number of the acoustic emission transducer 6 of setting; m(C j) represent in fatigue damage recognition system that all acoustic emission transducers 6 are with joint form, the secondary data fusion value of locating at node j (j=1,2).
(12) damage grade evaluation unit 2
In the present invention, the secondary data fusion results m (C that 2 pairs of damage grade evaluation unit receive j) carry out ranking, obtain the residing Fatigue Damage States of in-service AZ31 magnesium alloy.
Ranking condition: as node maximal value w=m (C 1) time, Fatigue Damage States is: in-service AZ31 magnesium alloy is under the stable expansion of fatigue crack faulted condition; As node maximal value w=m (C 2) time, Fatigue Damage States is: in-service AZ31 magnesium alloy is under fatigue crack unstable propagation faulted condition;
Described node maximal value w=max (m (C 1), m (C 2)), m (C 1) represent that all transducers of fatigue damage recognition system are in node 1(fatigue crack steady state (SS)) the secondary data fusion value located, m (C 2) represent that all transducers of fatigue damage recognition system are at node 2(fatigue crack instability status) the secondary data fusion value located.W represents that all transducers of fatigue damage recognition system are in the maximal value of the secondary data fusion value of two nodes.
(13) alarm unit 3
In the present invention, in alarm module 3, work as w=m (C 1) time do not report to the police, as w=m (C 2) time start alerting signal.Alarm unit 3 adopts as the prompt tone of the forms such as loudspeaker, loudspeaker reports to the police and exports.
embodiment 1:certain automotive hub is carried out to acoustic emission detection.
Wheel hub AZ31 magnesium alloy composition used is in Table 1:
Table 1AZ31 magnesium alloy component content
Detection has with equipment: (A) two the narrow frequency acoustic emission transducer of R15 (CZ series of PAC company, response frequency is 100kHz~400kHz, centre frequency 150kHz) and two wideband transducers (the WD series of PAC company, response frequency is 20kHz~1MHz).
(B) 2/4/6 type prime amplifier of Si Ge PAC company.
(C) Acoustic radiating instrument is U.S. PAC company full digital 16 passage DiSP acoustic emission systems.Threshold value 40dB when Acoustic radiating instrument detects, acoustic emission peak value definition time PDT is 300 μ s, and it is 600 μ s that limiting time HDT is clashed in acoustic emission, and it is 1000 μ s that blocking time HLT is clashed in acoustic emission.
At AZ31 magnesium alloy at sampling time T xfour acoustic emission information process fatigue damage recognition system identifications that transducer receives in section, fatigue damage detecting unit result is as shown in table 2.
The basic probability assignment result of the acoustic emission information that tetra-transducers of table 2A receive in fatigue damage detecting unit
Acoustic emission information one-level data fusion result in fatigue damage monitoring means that tetra-transducers of table 2B receive
Transducer m ID(B 1) m ID(B 2) Uncertainty
1 0.9323 0.0312 0.0365
2 0.7725 0.1120 0.1155
3 0.9849 0.0068 0.0084
4 0.9553 0.0203 0.0243
Acoustic emission information secondary data fusion results in fatigue damage monitoring means that tetra-transducers of table 2C receive
m(C 1) m(C 2) Uncertainty
Secondary fusion results 1.0000 0.0000 0.0000
Fusion results 2 parsings through damage grade evaluation unit in table 2C, can obtain node maximal value is m (C 1), so this AZ31 magnesium alloy is stablized extension phase in fatigue crack, without warning.
As can be seen here, data fusion can reduce the local uncertainty merging of neural network, makes to diagnose the confidence level of decision-making to improve significantly.Meanwhile, improve the fault-tolerant ability of diagnostic system, and can meet the requirement of steel construction complication system damage.
The present invention adopts principal component analysis (PCA), the method that neural network and two-stage data fusion combine is identified AZ31 Fatigue of Magnesium Alloys faulted condition, has set up AZ31 Fatigue of Magnesium Alloys faulted condition identifying and diagnosing system: first with neural network model, each acoustic emission transducer information is carried out to local diagnosis under the different damage data space of principal component model structure; Then by the elementary probability value of the neural network Output rusults structure one-level data fusion module in same transducer, carry out one-level data fusion; Finally the one-level data fusion result of a plurality of sensors is carried out to secondary data fusion, then by damage identification module, Fatigue Damage States is diagnosed.Utilize this model, can the faulted condition in AZ31 Fatigue of Magnesium Alloys process be identified, be diagnosed, and then provide foundation to its reliability service.

Claims (6)

1. one kind is carried out the recognition system of Fatigue Damage States based on PCA and TDF to AZ31 magnesium alloy, it is characterized in that: this system includes a plurality of acoustic emission transducers (6), multichannel prime amplifier (5), an Acoustic radiating instrument (4), it is characterized in that: also include an AZ31 Fatigue of Magnesium Alloys damage check unit (1);
AZ31 Fatigue of Magnesium Alloys damage check unit (1) includes filtering module (11) and one-level data fusion module (12), secondary data Fusion Module (13), wherein, filtering module (11) has data filtering processing module (11A) and waveform filtering processing module (11B), one-level data fusion module (12) has the first data space (12A), the second data space (12B), the first injury tolerance Sign module (12C), the second injury tolerance Sign module (12D), D-S Evidence Combination Methods module (12E);
Acoustic emission transducer (6), for gathering in-service AZ31 magnesium alloy at acquisition time T xdemblee form information burst type information in section
Prime amplifier (5), for the demblee form information to receiving after amplifying 40dB, become demblee form amplification message
Acoustic radiating instrument (4) is for the demblee form amplification message to receiving after A/D conversion, become digital demblee form information export to AZ31 Fatigue of Magnesium Alloys damage check unit (1); De srepresentative digit formula energy, dA srepresentative digit formula measuring amplitude, dC srepresentative digit formula Ring-down count, dR srepresentative digit formula rise time and dD sthe representative digit formula duration;
Data filtering processing module (11A) is to the digital demblee form information receiving carry out parametric filtering, filter after electromagnetic noise and neighbourhood noise, purify and obtain fatigue damage preliminary information waveform filtering processing module (11B) is to the fatigue damage preliminary information receiving carry out waveform filtering, obtain fatigue damage information e 0refer to digital energy de senergy after parametric filtering, A 0refer to digital measurement amplitude dA smeasuring amplitude after parametric filtering, C 0refer to digital Ring-down count dC sring-down count after parametric filtering, R 0refer to digital rise time dR srise time after parametric filtering, D 0refer to digital duration dD sduration after parametric filtering; E refers to parametric filtering energy e 0through the filtered energy of waveform, A refers to parametric filtering amplitude A 0through the filtered amplitude of waveform, C refers to parametric filtering Ring-down count C 0through the filtered Ring-down count of waveform, R refers to parametric filtering rise time R 0through the filtered rise time of waveform, D refers to parametric filtering duration D 0through the filtered duration of waveform;
Transducer is received to the fatigue damage information of AZ31 magnesium alloy carry out acquisition time T xaccumulated process in section, then normalization obtains normalization accumulation of fatigue damage information f 11B', by f 11B' at the first data space (12A) and the lower projection of the second data space (12B), obtain score matrix f separately respectively 12A=(t a1, t a2, t a3, t a4, t a5) and f 12B=(t b1, t b2, t b3, t b4, t b5), score matrix f 12A=(t a1, t a2, t a3, t a4, t a5) through the first injury tolerance Sign module (12C) processing, obtain the neural network output f in the first data space 12C=[f iD, a(A 1) f iD, a(A 2)], f iD, a(A 1) represent the neural network output of diagnostic sample the 1st node in the first data space of the transducer that code is ID; f iD, a(A 2) represent the neural network output of diagnostic sample the 2nd node in the first data space of the transducer that code is ID; ID represents the code of acoustic emission transducer, and a is the code of the first data space; Score matrix f 12B=(t b1, t b2, t b3, t b4, t b5) through the second injury tolerance Sign module (12D), process the neural network output f obtaining in the second data space 12D=[f iD, b(A 1) f iD, b(A 2)], f iD, b(A 1) represent the neural network output of diagnostic sample the 1st node in the second data space of the transducer that code is ID; f iD, b(A 2) represent the neural network output of diagnostic sample the 2nd node in the second data space of the transducer that code is ID; ID represents the code of acoustic emission transducer, and b is the code of the second data space; By f 12Cand f 12Dcarry out the related coefficient assignment of each node, the f after assignment 12Cand f 12Dcarry out basic probability assignment, then carry out D-S Evidence Combination Methods module (12E) and process the data fusion result m that obtains single transducer iD(B j); t a1represent to treat the score vector of diagnostic sample the 1st dimension in the first data space; t a2represent to treat the score vector of diagnostic sample the 2nd dimension in the first data space; t a3represent to treat the score vector of diagnostic sample the 3rd dimension in the first data space; t a4represent to treat the score vector of diagnostic sample the 4th dimension in the first data space; t a5represent to treat the score vector of diagnostic sample the 5th dimension in the first data space; t b1represent to treat the score vector of diagnostic sample the 1st dimension in the second data space; t b2represent to treat the score vector of diagnostic sample the 2nd dimension in the second data space; t b3represent to treat the score vector of diagnostic sample the 3rd dimension in the second data space; t b4represent to treat the score vector of diagnostic sample the 4th dimension in the second data space; t b5represent to treat the score vector of diagnostic sample the 5th dimension in the second data space;
Secondary data merges (13) to the data fusion result m receiving iD(B j) according to D-S evidence the second syntagmatic process, obtain secondary data fusion results m (C j), C jrepresent the node identification in secondary data Fusion Module;
Damage grade evaluation unit (2) is to the secondary data fusion results m (C receiving j) carry out ranking, obtain the residing Fatigue Damage States of in-service AZ31 magnesium alloy;
Alarm unit (3) receives the fatigue damage identifying information of damage grade evaluation unit (2) output, and starts alerting signal warning.
2. according to claim 1ly based on PCA and TDF, AZ31 magnesium alloy is carried out to the recognition system of Fatigue Damage States, it is characterized in that:
The first data space (12A) first aspect is to the fatigue damage information receiving carry out place acquisition time T xaccumulated process in section, obtains accumulating rear fatigue damage information AC 11 B T X = ( e , A , C , R , D ) ;
The first data space (12A) second aspect is to accumulating rear fatigue damage information ACf 11 B T X = ( e , A , C , R , D ) According to Normalized Relation f 11 B &prime; = ACf 11 B T X - ACf 11 B T X &OverBar; &sigma; ACf 11 B T X Process, obtain normalization accumulation of fatigue damage information f 11B'; The mean value of fatigue damage information the standard deviation that represents accumulation of fatigue damage information;
The first data space (12A) third aspect is to normalization accumulation of fatigue damage information f 11B' according to the first projection relation f 12A=f 11B' * P acarry out projection, obtain the first score matrix f 12A=(t a1, t a2, t a3, t a4, t a5).
3. according to claim 1ly based on PCA and TDF, AZ31 magnesium alloy is carried out to the recognition system of Fatigue Damage States, it is characterized in that:
The second data space (12B) first aspect is to the fatigue damage information receiving carry out place acquisition time T xaccumulated process in section, obtains accumulating rear fatigue damage information ACf 11 B T X = ( e , A , C , R , D ) ;
The second data space (12B) second aspect is to accumulating rear fatigue damage information ACf 11 B T X = ( e , A , C , R , D ) According to Normalized Relation f 11 B &prime; = ACf 11 B T X - ACf 11 B T X &OverBar; &sigma; ACf 11 B T X Process, obtain normalization accumulation of fatigue damage information f 11B'; The mean value of fatigue damage information the standard deviation that represents accumulation of fatigue damage information;
The second data space (12B) third aspect is to normalization accumulation of fatigue damage information f 11B' according to the second projection relation f 12B=f 11B' * P bcarry out projection, obtain the second score matrix f 12B=(t b1, t b2, t b3, t b4, t b5).
4. according to claim 1ly based on PCA and TDF, AZ31 magnesium alloy is carried out to the recognition system of Fatigue Damage States, it is characterized in that:
The first injury tolerance Sign module (12C) first aspect is to the crackle stability types fatigue damage information receiving carry out place acquisition time T xaccumulated process in section, obtains accumulating rear fatigue damage information ACf ST T X = ( e , A , C , R , D ) ;
The first injury tolerance Sign module (12C) second aspect is to accumulating rear fatigue damage information ACf ST T X = ( e , A , C , R , D ) According to Normalized Relation f ST &prime; = ACf ST T X - ACf ST T X &OverBar; &sigma; ACf ST T X Process, obtain crackle stability types normalization accumulation of fatigue damage information f sT'; The mean value of crackle stability types accumulation of fatigue damage information the standard deviation that represents crackle stability types accumulation of fatigue damage information;
First injury tolerance Sign module (12C) third aspect is to crackle stability types normalization accumulation of fatigue damage information f sT' carry out principal component analysis (PCA), obtain the eigenmatrix P of the first data space a=(p a1, p a2, p a3, p a4, p a5); p a1the proper vector of the 1st dimension in the first data space; p a2the proper vector of the 2nd dimension in the first data space; p a3the proper vector of the 3rd dimension in the first data space; p a4the proper vector of the 4th dimension in the first data space; p a5the proper vector of the 5th dimension in the first data space;
The first injury tolerance Sign module (12C) fourth aspect is to normalization accumulation of fatigue damage information f sT' according to the 3rd projection relation Pf 12C=f sT' * P acarry out projection, obtain the 3rd score matrix Pf 12C=(Pt a1, Pt a2, Pt a3, Pt a4, Pt a5); Pt a1the score vector that represents training sample the 1st dimension in the first data space of crackle stability types; Pt a2the score vector that represents training sample the 2nd dimension in the first data space of crackle stability types; Pt a3the score vector that represents training sample the 3rd dimension in the first data space of crackle stability types; Pt a4the score vector that represents training sample the 4th dimension in the first data space of crackle stability types; Pt a5the score vector that represents training sample the 5th dimension in the first data space of crackle stability types;
The first injury tolerance Sign module (12C) the 5th aspect is by the 3rd score matrix Pf 12A=(Pt a1, Pt a2, Pt a3, Pt a4, Pt a5) as the input layer information of RBF neural network, and set the output layer information of RBF neural network O ID , tr = 1 0 0 1 , Start RBF neural metwork training, obtain the first injury tolerance sign model M a;
The output layer information of RBF neural network O ID , tr = 1 0 0 1 In [1 0] represent that training sample is the identity code that fatigue crack stablize extended mode, [0 1] expression training sample is the identity code of fatigue crack unstable propagation state;
The first injury tolerance Sign module (12C) the 6th aspect adopts M ato the first score matrix f 12A=(t a1, t a2, t a3, t a4, t a5) process, obtain the first injury tolerance parameter f 12C=[f iD, a(A 1) f iD, a(A 2)].
5. according to claim 1ly based on PCA and TDF, AZ31 magnesium alloy is carried out to the recognition system of Fatigue Damage States, it is characterized in that:
The second injury tolerance Sign module (12D) first aspect is to the bursting type fatigue damage information receiving carry out place acquisition time T xaccumulated process in section, obtains accumulating rear fatigue damage information ACf UT T X = ( e , A , C , R , D ) ;
The first injury tolerance Sign module (12D) second aspect is to accumulating rear fatigue damage information ACf UT T X = ( e , A , C , R , D ) According to Normalized Relation f UT &prime; = ACf UT T X - ACf UT T X &OverBar; &sigma; ACf UT T X Process, obtain bursting type normalization accumulation of fatigue damage information f uT'; The mean value of fatigue damage information the standard deviation that represents bursting type accumulation of fatigue damage information;
Second injury tolerance Sign module (12D) third aspect is to bursting type normalization accumulation of fatigue damage information f uT' carry out principal component analysis (PCA), obtain the eigenmatrix P of the second data space b=(p b1, p b2, p b3, p b4, p b5); p b1the proper vector of the 1st dimension in the second data space; p b2the proper vector of the 2nd dimension in the second data space; p b3the proper vector of the 3rd dimension in the second data space; p b4the proper vector of the 4th dimension in the second data space; p b5the proper vector of the 5th dimension in the second data space;
The second injury tolerance Sign module (12D) fourth aspect is to bursting type normalization accumulation of fatigue damage information f uT' according to the 4th projection relation Pf 12D=f uT' * P bcarry out projection, obtain the 4th score matrix Pf 12D=(Pt b1, Pt b2, Pt b3, Pt b4, Pt b5); Pt b1the score vector that represents training sample the 1st dimension in the second data space of bursting type; Pt b2the score vector that represents training sample the 2nd dimension in the second data space of bursting type; Pt b3the score vector that represents training sample the 3rd dimension in the second data space of bursting type; Pt b4the score vector that represents training sample the 4th dimension in the second data space of bursting type; Pt b5the score vector that represents training sample the 5th dimension in the second data space of bursting type;
The second injury tolerance Sign module (12D) the 5th aspect is by the 4th score matrix Pf 12D=(Pt b1, Pt b2, Pt b3, Pt b4, Pt b5) as the input layer information of RBF neural network, and set the output layer information of RBF neural network O ID , tr = 1 0 0 1 , Start RBF neural metwork training, obtain the first injury tolerance sign model M b;
The output layer information of RBF neural network O ID , tr = 1 0 0 1 In [1 0] represent that training sample is the identity code that fatigue crack stablize extended mode, [0 1] expression training sample is the identity code of fatigue crack unstable propagation state;
The second injury tolerance Sign module (12D) the 6th aspect adopts M bto the second score matrix f 12B=(t b1, t b2, t b3, t b4, t b5) process, obtain the second injury tolerance parameter f 12D=[f iD, b(A 1) f iD, b(A 2)].
6. according to claim 1ly based on PCA and TDF, AZ31 magnesium alloy is carried out to the recognition system of Fatigue Damage States, it is characterized in that:
D-S Evidence Combination Methods module (12E) first aspect is to the f receiving 12C=[f iD, a(A 1) f iD, a(A 2)] and f 12D=[f iD, b(A 1) f iD, b(A 2)] according to node related coefficient O ID , i ( A j ) = | f ID , a ( A 1 ) - 1 | | f ID , a ( A 1 ) - 1 | + | f ID , a ( A 2 ) - 1 | | f ID , a ( A 2 ) - 1 | | f ID , a ( A 1 ) - 1 | + | f ID , a ( A 2 ) - 1 | | f ID , b ( A 1 ) - 1 | | f ID , b ( A 1 ) - 1 | + | f ID , b ( A 2 ) - 1 | | f ID , b ( A 2 ) - 1 | | f ID , b ( A 1 ) - 1 | + | f ID , b ( A 2 ) - 1 | Process, obtain treating diagnostic sample in the first data space and the second data space with the related coefficient Q of each node iD, i(A j);
D-S Evidence Combination Methods module (12E) second aspect is by basic probability assignment function m ID , i ( A j ) = Q ID , i ( A j ) &Sigma; j = 1 N c Q ID , i ( A j ) + N s &times; ( 1 - R i ) &times; ( 1 - &alpha; i &beta; i ) Each node j (j=1,2) is carried out to basic probability assignment, obtain treating diagnostic sample in the first data space and the second data space with the basic probability assignment value m of each node iD, i(A j);
D-S Evidence Combination Methods module (12E) third aspect is used D-S evidence the first syntagmatic treat diagnostic sample and carry out data fusion with the basic probability assignment value of each node in two data spaces, obtain one-level data fusion value m iD(B j);
α wherein i=max{Q iD, i(A j) represent to treat diagnostic sample code be in the data space of i (i=a, b) with the maximum correlation coefficient of node; represent code be in the data space of i (i=a, b) with the apportioning cost of node related coefficient; represent that code is the safety factor of the data space of i (i=a, b); N in the present invention cfor node number, N sfor data space number, be 2; m iD, i(A j) represent that transducer that code is ID receives treat diagnostic sample code be in the data space of i (i=a, b) with the basic probability assignment value of node j (j=1,2); m iD(B j) represent that transducer that code is ID is in the one-level data fusion value of node j (j=1,2).
CN201210371209.XA 2012-09-29 2012-09-29 System for recognition of fatigue damage state of AZ31 magnesium alloy based on PCA (principal component analysis) and TDF (tactical data fusion) Expired - Fee Related CN102879473B (en)

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