CN109871645A - A kind of Structural Damage Identification based on mutative scale Symbolic time series analysis - Google Patents
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Abstract
The embodiment of the invention discloses a kind of Structural Damage Identifications based on mutative scale Symbolic time series analysis, in conjunction with dummy burst receptance function, in the encoded subsequence obtained using mutative scale Symbolic time series analysis method in pent up the abundant information of structure frequency change rate this principle structural damage situation differentiated.The dummy burst receptance function for calculating structure first, then utilizes proposed mutative scale symbolism method to calculate the frequency of each subsequence, damage criterion ESAM is calculated in this, as probability characteristics vector, whether judging structural damage by the variation of ESAM under different operating conditions.The present invention is capable of the faulted condition of effectively decision structure, and it is more sensitive to the damage of structure, there is stronger environmental excitation robustness.
Description
Technical field
The present invention relates to mutative scale symbolism is based under structural health monitoring technology field more particularly to a kind of environmental excitation
The Structural Damage Identification of time series analysis.
Background technique
Safety of the civil engineering structure in construction and during one's term of military service and the guarantee of people's lives and properties are closely bound up.It is high-rise
The structures such as house, gymnasium, Loads of Long-span Bridges will will cause hardly imaginable consequence in case of serious destruction.So guaranteeing soil
Safety of the timber structure during construction and use is of great significance.Due to material aging, initial designs defect, constructing operation
It is improper, the influence of the maintenance environmental factors such as human factors and earthquake, wind load, traffic, temperature, corrosion such as not in time, structure
Easily there are various damages during building with normal service.In general structure physical characteristic (rigidity, quality,
Damping) often reduced with the generation of structural damage, and then be reflected on the various characteristic parameters of structure.If leaving to damage
Continuous aggravation development will finally cause the collapsing or even destruction of structure.Therefore very it is necessary to implement effectively to engineering structure
Monitoring.The earlier damage that structure is timely and accurately identified by health monitoring takes measures to repair damage, the hair avoided damage to
Exhibition accumulation guarantees that structure is being built and safety during one's term of military service.
Symbolic time series analysis STSA (Symbolic Time Series Analysis) method be it is recent relatively by
A kind of feature extracting method based on statistical analysis of concern.This method is in various fields[1-7]In all obtained answering well
With.STSA method can accurately and effectively extract the characteristic information of original signal, and operation is rapid and simple, have stronger anti-noise energy
Power.The basic thought of this method is the area that original signal is divided into limited quantity using the symbolism method based on Shannon entropy
Between, and different symbols is set and respectively corresponds different sections.It is corresponding that each data for falling in respective bins are converted to section
Symbol.Original time series can be indicated by only several discrete symbols in this way.Xu Mei etc.[8]By introducing STSA points
The Main change feature for analysing the return series of stock index gives the mode for determining and predicting stock yield.By this method
It is applied to and demonstrate,proves in the instance analysis of composite, Shenzhen Stock Exchange at the return series of six stock index such as finger, the results showed that the side STSA
Method can effectively determine and predict stock yield sequence.Hu Shijie etc.[9]A kind of new sign field is proposed based on probability density
Between division methods.This method statisticallys analyze according to probability density first original time series being divided into the equal several areas of probability
Between and it is numbered, initial data is converted into corresponding interval symbol later.It is tired for diagnosing bearing using this method
The exception that occurs in labor experiment, test result show that this method can the more sensitive exception for identifying test model earlier.Base
In discussed above, Symbolic time series analysis method can be from large scale under the premise of retaining initial data effective information
Grab the feature of original time series.This method reduce the dimensions of data, accelerate arithmetic speed.And it significantly reduces
Influence of the noise to entire time series.But this method is mainly used in that Mechanical System Trouble diagnosis, electrocardiosignal is not normal examines
Disconnected, radar emitter signal intrapulse feature extracts and the fields such as financial volatility prediction, and the application in civil engineering structure is also
It is more limited.
Structure causes the environmental excitation generated to have very strong randomness due to the diversity of driving source during one's term of military service, in turn
It will also result in the randomness of system vibration response, this variation because of environmental excitation will to the influence of non-destructive tests result bring
Mutually obscure with change caused by damage.Cause Damage Assessment Method result very big randomness occur, seriously affects structure
Non-destructive tests.Therefore in order to eliminate interference of the environmental excitation of randomness to non-destructive tests result, there has been proposed dummy bursts
This method of receptance function.Dummy burst receptance function can reject the randomness of environmental excitation well, reflect structure itself
Intrinsic feature.Ding Youliang etc. [10] propose to respond letter to the corresponding dummy burst of the Calculation of Vibration Response of two o'clock under environmental excitation
Number, uses wavelet package transforms WPT (Wavelet Packet Transform) each under corresponding states to obtain to it later
The wavelet-packet energy ratio of node, calculates damage criterion based on this.By the way that this method is tested applied to Benchmark
Model demonstrates this method for effective identification of structural damage situation and for the robustness of environmental excitation.Diao etc. is proposed
WPT processing is carried out to dummy burst receptance function, the energy of each node of wavelet packet is calculated later.Using different damage works
Wavelet-packet energy realizes the determination of damage position in conjunction with BP neural network as feature vector at each node under condition.By this
Kind of method is applied to offshore platform test model, the results showed that the validity of this method and the environmental excitation for randomness
Robustness.Xu Gan etc. [12] to retaining wall structure carry out non-destructive tests when introduce dummy burst receptance function, it is carried out later
WAVELET PACKET DECOMPOSITION creates feature band vector spectrum.Two new damage criterions: energy ratio mean square deviation are calculated based on this
With the energy ratio coefficient of variation.Result of study show warning index can accurately determine retaining wall faulted condition and serious journey
Degree.Document 10,11,12 is to carry out dummy burst receptance function with WPT to finish the damage for merging and realizing structure well
Wound identification.
But use above two method under environmental excitation structure carry out non-destructive tests when there are disadvantages to have:
(1) Symbolic time series analysis method recognition result has very strong randomness, can not efficiently identify out and tie
The damage of structure.
(2) method that dummy burst receptance function and wavelet transformation combine can identify the damage of structure well,
But it is less desirable for the earlier damage recognition result of structure.
Summary of the invention
The technical problem to be solved by the embodiment of the invention is that providing a kind of based on mutative scale symbolism time series point
The Structural Damage Identification of analysis.It can solve disadvantages mentioned above.
In order to solve the above-mentioned technical problem, the embodiment of the invention provides one kind based on mutative scale symbolism time series point
The Structural Damage Identification of analysis, comprising the following steps:
S1: dynamic response of the environmental excitation flowering structure under different operating conditions is calculated, amplitude is less than to the power of setting target
The dummy excitation as structure is responded, then by carrying out inverse Fu to the frequency response function Hyu (ω, i, j) two nodes
In leaf transformation obtain the dummy burst receptance function Hyu (t, i, j) of structure
S2: the dummy burst response of structure is subjected to symbolic analysis, the symbolic analysis passes through maximum informational entropy method
Section is divided, so as improvement comentropy determine divide original time series needed for section number and subsequence length
L is spent, different symbols is set and respectively corresponds different sections, each data conversion of respective bins will be fallen in into the corresponding symbol in section
Number；
S3: symbol is extracted using periodic intervals and forms subsequence；
S4: sub-sequences carry out decimal coded and form coded sequence；
S5: the frequency that each subsequence occurs in calculation code sequence forms probability characteristics vector, calculates damage based on this
Hurt index, the faulted condition of structure is determined by the variation of damage front and back damage criterion ESAM.
Further, the step S3 is specifically included: being chosen L data using mutative scale interval and is formed 1 subsequence, becomes
It is divided into a cycle between each symbol time in the digit symbol subsequence of scale interval, wherein the period is using structure single order self-vibration week
Phase then translates a unit backward along symbol sebolic addressing and forms next subsequence, and so on.
Further, the calculation formula of the damage criterion ESAM is as follows:
ESV={ ESVi}={ Iu,i-Id,i}
Wherein ESV is energy spectrum changing value,For the mean value of ESV；Wherein Iu,iAnd Id,iRespectively structure is in lossless work
The frequency that i-th of word occurs in coded sequence under condition and damage regime.
The implementation of the embodiments of the present invention has the following beneficial effects:
1, the coded sequence for the mutative scale space character composition that the present invention obtains is compared to the code sequence that conventional method obtains
Rate of change information between structure frequency rich in for column, so that the present invention is more sensitive to the damage of structure.
2, the present invention is the combination of mutative scale symbolism method and dummy burst receptance function, solves and passes under environmental excitation
The recognition result big ups and downs that system symbolism Time Series Method faces, can not effectively differentiate the problem of damage.The present invention has
Stronger environmental excitation robustness.
3, the present invention damages the early stage of structure for the method for wavelet package transforms combination dummy burst receptance function
Hurt more sensitive.
Detailed description of the invention
Fig. 1 is the schematic diagram of 3DOF chain structure.
Fig. 2 is the corresponding improvement information entropy of different parameters.Fig. 2 horizontal axis indicates the value of word length L, and the longitudinal axis is then to improve letter
Cease the size of entropy.Amount to 3 curves in figure, blue dotted line chooses different word length L corresponding H when representing m=2S, red solid line table
Difference word length L corresponding H when showing m=2S, green chain-dotted line indicates difference word length L corresponding H when m=4S。
Fig. 3 is the ESAM at the corresponding particle 1 of mutative scale symbolism method under difference operating condition.Fig. 3 (a) horizontal axis indicates structure
7 kinds of operating conditions.The longitudinal axis then indicates the size of damage criterion ESAM.Amount to 10 curves in figure and represents 10 mutually independent repetitions
Test.Wherein single curve represents Damage Index corresponding to 7 kinds of single test flowering structure different operating conditions.Shown in Fig. 3 (b)
Curve can be divided into 7 sections, and every section of curve is to repeat to test 10 corresponding damage criterions under the same damage regime of structure.Its
Middle abscissa is divided into 7 kinds of operating conditions that 7 sections respectively correspond model.
Fig. 4 is the ESAM at the corresponding particle 2 of mutative scale symbolism method under difference operating condition.Fig. 4 (a) horizontal axis representative structure
7 kinds of different operating conditions.The longitudinal axis then indicates the numerical value of damage criterion.10 curves in figure represent 10 mutually independent examinations
It tests.Wherein single curve represents ESAM corresponding to each operating condition of single test flowering structure.Curve shown in Fig. 4 (b) can be divided into 7
Section, each section of curve are that structure repeats to test 10 ESAM respectively obtained under same operating.Wherein 7 sections of abscissa point
Each damage regime of other counter structure.
Fig. 5 is the ESAM at the corresponding particle 1 of small wave converting method under difference operating condition.For Fig. 5 (a), horizontal axis table
What is shown is 7 kinds of different faulted conditions.The longitudinal axis then indicates the size of damage criterion ESAM.It is tried by 10 mutually independent repetitions
Test to obtain 10 curves in figure.Wherein single curve represents 7 kinds of single test flowering structure corresponding damage of different operating conditions and refers to
Mark.Curve shown in Fig. 5 (b) can be divided into 7 sections, and each section of curve is to repeat test 10 times under the same damage regime of structure to respectively obtain
Damage criterion.7 sections that wherein abscissa is divided into respectively correspond 7 kinds of different operating conditions of model.
Fig. 6 is the ESAM at the corresponding particle 2 of small wave converting method under difference operating condition.Fig. 6 (a) horizontal axis indicates structural damage
7 kinds of states.The longitudinal axis then indicates the numerical values recited of ESAM.10 curves represent 10 mutually independent repetitions and test in figure.Its
Middle single curve represents Damage Index ESAM corresponding to 7 kinds of single test flowering structure different operating conditions.Song shown in Fig. 6 (b)
Line can be divided into 7 sections, and each section of curve is to repeat to test 10 corresponding damage criterion ESAM under the same damage regime of structure.
Wherein abscissa is divided into 7 kinds of different operating conditions that 7 sections respectively correspond structure.
Fig. 7 is the damage criterion ESAM that two methods respectively obtain at different location.Fig. 7 kind red line represents mutative scale symbol
Number change time series analysis MSTSA (Mutative-scale Symbolic Time Series Analysis) obtained knowledge
Other result.Blue line then indicates the recognition result that WPT is obtained.Fig. 7 (a) indicates the comparison result of two methods at particle 1；Fig. 7
(b) comparison result at particle 2 is then indicated.
Specific embodiment
To make the object, technical solutions and advantages of the present invention clearer, the present invention is made into one below in conjunction with attached drawing
Step ground detailed description.
Embodiment:
The validity of this method is verified with 3DOF chain structure shown in FIG. 1.The fundamental characteristics of structure is as follows: quality
M1=1；M2=1.5；M3=2；Stiffness K1=600；K2=1200；K3=1800；The natural frequency of vibration w of structure1=14.52；w2=
31.05；w3=46.50；The corresponding damping ratio of each rank mode of structure is 0.05, and stable white Gaussian noise is as seismic stimulation
Act on the bottom of structure.Wherein direction vector is E=[111]T, the initial velocity of structure, displacement are zero.Extract each collection
50 seconds response datas at middle quality, wherein sample frequency is 100Hz.The interim Stiffness degradation of specific position is for simulating damage
Wound, as shown in table 1, a total of 7 damage regimes.
1 structural damage operating condition of table
In order to avoid the randomness of recognition result, guarantee the validity of result, independent repeated trials 10 times.It is noticeable
The white Gaussian noise excitation inputted under difference operating condition when being single experiment is all randomly generated different, assesses this with this
Method rejects the effect of environmental excitation and the validity of damage criterion.New random swash so can all be generated under each operating condition
It encourages.In addition one original state is provided at random.Then a kind of mutative scale Symbolic time series analysis method that is based on is in the 3DOF
Specific implementation step on chain structure numerical model are as follows:
The first step obtains structural dynamic response of the structure under different operating conditions first.Particle 3 will be concentrated as a reference point,
Structural response at this is as dummy excitation.Then by being carried out between the frequency response function Hyu (ω, i, j) two nodes
Inverse Fourier transform obtains the VIRFHyu (t, i, j) of structure；
The dummy burst response of structure is carried out symbolic analysis by second step.Wherein symbolism refers to using maximum informational entropy
Method demarcation interval, and then the length for dividing section number m and subsequence that original time series are formed is determined by improvement comentropy
L is arranged different symbols and respectively corresponds different sections.Each data conversion of respective bins will be fallen in into the corresponding symbol in section
Number, such original series have been converted to symbol sebolic addressing.The expression formula for wherein improving comentropy is as follows:
Wherein NobsFor the sum for the word that probability in coded sequence is not zero, wherein Nobs≤nL, nLIt is possible in coded sequence
There is the sum of word.piThe frequency occurred in coded sequence for i-th of subsequence.When the minimum value that improvement information entropy takes
When, corresponding parameter m and L are suitable number of partitions and word length.Dummy burst at structural model particle 1 is rung
Above formula should tentatively be used.Work as m=3 as shown in Figure 2, when L=4, HSValue it is minimum, corresponding symbolism parameter at this time
As optimal parameter.Practical modification information entropy at this time is not minimum value, with the increase of word length L, improves the value of comentropy
It can also reduce, it is contemplated that the capacity of response, when L is too big, the number exponentially grade for occurring different words in coded sequence increases
Add, the probability that different words occur will very little.Increase obtains the calculating error of entropy, can also impact to recognition result.Base
M=3 is selected in considerations above, L=4 is as optimal symbolism parameter.
Third step extracts symbol composition subsequence using periodic intervals.According to determining sub-sequence length L.Using change
It chooses L data and forms 1 subsequence in scale interval.Since the time interval of structural response is 0.01 second, structure nondestructive state
Under the frequency of structure be 2.4Hz, then between when being divided into 39 about a cycle, subsequence mark space take 39；Then along
Symbolism time series translates a unit backward and forms next subsequence, and so on.
4th step carries out decimal coded to symbol subsequence, then each subsequence has been converted to corresponding thereto
Word.Thus symbol sebolic addressing converts and forms coded sequence.
The frequency and composition probability characteristics vector that each subsequence occurs in 5th step, calculation code sequence, based on this
Damage criterion ESAM is calculated, the faulted condition of structure is determined by the variation of damage criterion under different operating conditions；The knowledge obtained by particle 1
Other result is as shown in Figure 3.For Fig. 3 (a), with the continuous reduction of structural top rigidity, obtained by mutative scale symbolism
Damage criterion constantly increasing.The degree of structural damage is more serious, and the value of ESAM gets over the journey that big structure deviates original state
It spends bigger.Show that the damage criterion of particle 1 can be used to effectively determine the different degrees of damage of structure.By Fig. 3 (b) institute
Show, although the damage criterion value obtained under 10 varying environments lower for same operating excitation is fluctuated constantly, fluctuates
Property all very littles.And the ESAM under different operating conditions has the otherness of highly significant.Show the damage criterion at particle 1 to sharp
The variation encouraged is that have stronger robustness.Repeat the above steps to obtain the non-destructive tests at particle 2 as a result, as shown in Figure 4.By
The available above-mentioned same conclusion of Fig. 4.
Comparative example:
Equally using 3DOF chain structure model shown in Fig. 1, pass through WPT method combination dummy burst receptance function
Non-destructive tests are carried out to the model.Using Daubechies30 function as wavelet basis function, the WAVELET PACKET DECOMPOSITION number of plies is 6.?
Corresponding recognition result difference is as illustrated in Figures 5 and 6 at not homologous pints.
The method of wavelet transformation combination dummy burst response equally can be very good to identify structure known to Fig. 5 and Fig. 6
Current faulted condition, and there is stronger robustness for environmental excitation.Compare the identification of two methods at not homologous pints
As a result otherness is as shown in Figure 7.Two methods can effectively identify the current damage shape of structure as shown in Figure 7
State has very strong robustness for environmental excitation.Therefore two methods can efficiently identify out the damage of structure.But
In comparison, MSTSA method is more sensitive to the earlier damage (0 ~ 10% of degree of injury) of structure.And with damage journey
The changing value of the aggravation of degree, damage criterion ESAM is bigger, more sensitive to the damage of structure.When being therefore based on mutative scale symbolism
Between sequence analysis combine the method for dummy burst receptance function for the non-destructive tests of environmental excitation flowering structure be it is a kind of more preferably
Method.
Above disclosed is only a preferred embodiment of the present invention, cannot limit the power of the present invention with this certainly
Sharp range, therefore equivalent changes made in accordance with the claims of the present invention, are still within the scope of the present invention.
Claims (3)
1. a kind of Structural Damage Identification based on mutative scale Symbolic time series analysis, which is characterized in that including following
Step:
S1: dynamic response of the environmental excitation flowering structure under different operating conditions is calculated, amplitude is less than to the dynamic response of setting target
As the dummy excitation of structure, then by carrying out inverse Fourier to the frequency response function Hyu (ω, i, j) two nodes
Transformation obtains the dummy burst receptance function Hyu (t, i, j) of structure
S2: the dummy burst response of structure is subjected to symbolic analysis, the symbolic analysis passes through the area maximum informational entropy Fa Dui
Between divided, and then as improvement comentropy determine divide original time series needed for section number and subsequence length L,
Different symbols is set and respectively corresponds different sections, each data conversion of respective bins will be fallen in into the corresponding symbol in section；
S3: symbol is extracted using periodic intervals and forms subsequence；
S4: sub-sequences carry out decimal coded and form coded sequence；
S5: the frequency that each subsequence occurs in calculation code sequence forms probability characteristics vector, calculates damage based on this and refers to
Mark is determined the faulted condition of structure by the variation of damage front and back damage criterion ESAM.
2. the Structural Damage Identification according to claim 1 based on mutative scale Symbolic time series analysis, special
Sign is that the step S3 is specifically included: choosing L data using mutative scale interval and forms 1 subsequence, mutative scale interval refers to
A cycle is divided into symbol subsequence between each symbol time, wherein the period is using structure single order natural vibration period, then edge
Symbol sebolic addressing translate a unit backward and form next subsequence, and so on.
3. the Structural Damage Identification according to claim 1 or 2 based on mutative scale Symbolic time series analysis,
It is characterized in that, the calculation formula of the damage criterion ESAM is as follows:
ESV={ ESVi}={ | Iu,i-Id,i|}
Wherein ESV is energy spectrum changing value,For the mean value of ESV；Wherein Iu,iAnd Id,iRespectively structure lossless operating condition with
The frequency that i-th of word occurs in coded sequence under damage regime.
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| CN107228772A (en) * | 2017-06-09 | 2017-10-03 | 华中科技大学 | A kind of shield tunnel construction method for estimating damage |
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| CN107228772A (en) * | 2017-06-09 | 2017-10-03 | 华中科技大学 | A kind of shield tunnel construction method for estimating damage |
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