CN105954358B - A kind of small defect location detection method of supersonic guide-wave that TR is combined with Duffing systems - Google Patents

A kind of small defect location detection method of supersonic guide-wave that TR is combined with Duffing systems Download PDF

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CN105954358B
CN105954358B CN201610288539.0A CN201610288539A CN105954358B CN 105954358 B CN105954358 B CN 105954358B CN 201610288539 A CN201610288539 A CN 201610288539A CN 105954358 B CN105954358 B CN 105954358B
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signal
wave
supersonic guide
pipeline
small
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CN105954358A (en
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王强
谷涛
谷小红
范昕炜
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China Jiliang University
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    • GPHYSICS
    • G01MEASURING; TESTING
    • G01NINVESTIGATING OR ANALYSING MATERIALS BY DETERMINING THEIR CHEMICAL OR PHYSICAL PROPERTIES
    • G01N29/00Investigating or analysing materials by the use of ultrasonic, sonic or infrasonic waves; Visualisation of the interior of objects by transmitting ultrasonic or sonic waves through the object
    • G01N29/04Analysing solids
    • G01N29/07Analysing solids by measuring propagation velocity or propagation time of acoustic waves

Abstract

The invention discloses the small defect location detection methods of supersonic guide-wave that a kind of TR is combined with Duffing systems, belong to nondestructive testing signal analysis field, steps are as follows:In the end face excitation ultrasound guided wave signals of pipeline, make all positions of supersonic guide-wave traversal pipeline;Other end near excitation end receives supersonic guide-wave echo-signal and records the time history curve propagated in supersonic guide-wave pipeline;Supersonic guide-wave echo-signal is detected and is analyzed using modified Du Fen chaos systems, extract and identifies the small defect information being submerged in noise;Secondary excitation is carried out again after the obtained signal with small defect information is carried out time reversal;Receive reverse signal.The present invention can be good at inhibiting noise, obtain small defect small-signal, accurately identify the detection efficiency that the small defective locations in pipeline improve defect, reduce maintenance cost, the range of ultrasonic guided wave detecting can effectively be extended, the sensitivity of the detection of faint crack defect is improved, there is actual engineering application value.

Description

A kind of small defect location detection of supersonic guide-wave that TR is combined with Duffing systems Method
Technical field
The present invention relates to the guided wave signal analyzing methods based on time delay, belong to nondestructive testing signal analysis field, tool Body is related to a kind of small defect location detection method of supersonic guide-wave that TR (time reversal) is combined with Duffing (Du Fen) system.
Background technology
Ultrasonic guided wave detection technology is the new technology of long-distance pipe detection developed in recent years.With traditional detection Technology is compared, and has detecting distance remote, and detection efficiency is high, and detection speed is fast, and detection range is big, detectable to carry clad, bury The complex working conditions such as ground, the pipeline of complex environment, the advantages that on-line checking can be carried out.
By pipeline medium, pipe temperature, frequency dispersion and multimode in Guided wave own propagation are gone back in the influence of the factors such as pipeline material The influence of state strongly limits the detection result of guided wave.Noise level, defect size, detecting distance all shadows to a certain extent Ring the sensitivity of ultrasonic guided wave detecting.For long range Wavelet Detection, what echo necessarily showed as under strong noise background weak leads Wave signal.Du Fen chaos systems have initial value sensitivity, if being input to weak signal as the initial value of chaos system in system, from Weak signal can be effectively identified in the response of chaos system, and can reduce signal-noise ratio threshold, improve detection sensitivity.But not yet There is self-focusing defect.Time-reversal focusing method can improve signal focus effect, effective position defective locations, but not Signal noise can be effectively reduced.
Invention content
The purpose of the present invention is to solve current supersonic guide-wave pipe detection small imperfections signals can not by external interference A kind of the problem of determining the location information of small defect, it is proposed that small defect of supersonic guide-wave that time reversal is combined with Duffing system Position finding and detection method.
The purpose of the present invention is achieved through the following technical solutions:A kind of TR is combined super with Duffing systems The small defect location detection method of guided Waves, this method comprises the following steps:
(1) the ultrasonic guided wave signals S=f sin (wt) modulated through Hanning windows, excitation are excited in the end face A of pipeline Pipe modes guided wave makes all positions of supersonic guide-wave traversal pipeline;
(2) the receiving terminal B near excitation end receives supersonic guide-wave echo-signal and records and propagated in supersonic guide-wave pipeline Time history curve, wherein supersonic guide-wave echo-signal includes and edge echo signal, noise signal and is submerged in noise Small flaw indication;
(3) supersonic guide-wave echo-signal is detected and is analyzed using modified Du Fen chaos systems, extracted and identify The small defect information being submerged in noise obtains the shear crack defect situation of entire pipeline;Specifically include following sub-step:
(3.1) echo-signal that step (2) receives is input to modified Du Fen chaos systems;Duffing equation can describe For:
x"+cx'-x3+x5=F cos (wt) (1)
In formula:C is damping ratio ,-x3+x5For the nonlinear resilience item of system;F cos (wt) are interior driving force amplitude, w It is identical as the angular frequency of signal to be detected in step (1) for driving force angular frequency;It is mixed that echo-signal is input to modified Du Fen After ignorant system, obtain:
x"+cx'-x3+x5=F cos (wt)+f sin (wt) (2)
(3.2) maximum Lyapunov exponent is calculated, λ is denoted as,
At the t=0 moment, with p0Centered on, with | | δ p (p0, t) | | ellipsoid is done for radius, | | δ p (p0, t) | | it is t moment Half axial length.Effective identification that chaos is carried out by the symbol of λ, when λ is more than 0, system is in chaos state, that is, recognizes pipe Small flaw indication in road;When λ is less than 0, system enters periodic state, i.e., does not recognize small flaw indication.The size of λ is fixed Amount indicates the power of chaotic characteristic, by the state of the positive negative judgement system of λ, and utilizes the chaotic characteristic of representative system The strong and weak identification for carrying out the weak guided wave signals under very noisy;
(4) the weak guided wave signals S* recognized by Du Fen chaos systems is subjected to time-reversal focusing;
The excitation of the ends A generates signal to be detected, and B terminations receive response signal V of the structure under drivingPB(r, w), response letter It number can be write as:
VPB(r, w)=S*(w)KPA(w)KPB(w)G(r,w) (3)
Wherein KPA(w), KPB(w) it is respectively A, the electromechanical coupling factor of B, G is the frequency response transmission function of structure;
The data-signal received to B terminations carries out time reversal processing, and according to signal processing theory, signal is in time-frequency domain Relationship often, the expression formula for then obtaining reverse signal are altogether:
(5) guided wave signals after time reversal processing are encouraged again at the ends B
(6) reverse rotation detection signal is received at the ends A, extracts accurate small flaw indication information;The structure that A terminations receive is rung Induction signal VPA(r, w) is:
Wherein KPAB(w) it is KPA(w) and KPB(w) product,Multiply for conjugate complex number Product is real, even positive function, its Fourier transformation is in-phase stacking in time zero, it follows that main peak peak value.In pipeline Middle frequency response function is:
Wherein, Li, Ti, FiAxial symmetry longitudinal wave, axisymmetric torsion wave, asymmetric modes wave, a (r, w), k, c are indicated respectively L, T, signal amplitude, wave number and the spread speed of F waves are indicated respectively;When there are L, when F patterns, the reversion received is terminated in A by T Detect signal VPAIt can be write as:
Implementing Fourier transformation to above-mentioned signal can obtain:
The beneficial effects of the invention are as follows:TR is combined the progress small defect of supersonic guide-wave with Duffing systems and determined by the present invention Position detection, the method for the present invention can be good at inhibiting noise, obtain small defect small-signal, accurately identify the small defect in pipeline The detection efficiency of defect is improved in position, reduces maintenance cost, can effectively extend the range of ultrasonic guided wave detecting, improve faint crackle The sensitivity of the detection of defect has actual engineering application value.
Description of the drawings
Fig. 1 is the flow chart of the method for the present invention.
Specific implementation mode
Invention is further described in detail in the following with reference to the drawings and specific embodiments.
As shown in Figure 1, the small defect location inspection of supersonic guide-wave that a kind of TR provided by the invention is combined with Duffing systems Survey method, this method comprises the following steps:
(1) the ultrasonic guided wave signals S=f sin (wt) modulated through Hanning windows, excitation are excited in the end face A of pipeline Pipe modes guided wave, commonly uses L (0,2) mode, and T (0,1) mode makes all of supersonic guide-wave traversal pipeline as signal to be detected Position;
(2) near excitation end (according to the difference at detection scene, the distance at the ends AB is also different, generally 10 meters or so) Receiving terminal B receives supersonic guide-wave echo-signal and records the time history curve propagated in supersonic guide-wave pipeline, and wherein ultrasound is led Wave echo-signal includes edge echo signal, noise signal and the small flaw indication being submerged in noise;
(3) supersonic guide-wave echo-signal is detected and is analyzed using modified Du Fen chaos systems, extracted and identify The small defect information being submerged in noise obtains the shear crack defect situation of entire pipeline;Specifically include following sub-step:
(3.1) echo-signal that step (2) receives is input to modified Du Fen chaos systems;Duffing equation can describe For:
x"+cx'-x3+x5=F cos (wt) (1)
In formula:C is damping ratio ,-x3+x5For the nonlinear resilience item of system;F cos (wt) are interior driving force amplitude, w It is identical as the angular frequency of signal to be detected in step (1) for driving force angular frequency;It is mixed that echo-signal is input to modified Du Fen After ignorant system, obtain:
x"+cx'-x3+x5=F cos (wt)+f sin (wt) (2)
(3.2) maximum Lyapunov exponent is calculated, λ is denoted as,
At the t=0 moment, with p0Centered on, with | | δ p (p0, t) | | ellipsoid is done for radius, | | δ p (p0, t) | | it is t moment Half axial length.Effective identification that chaos is carried out by the symbol of λ, when λ is more than 0, system is in chaos state, that is, recognizes pipe Small flaw indication in road;When λ is less than 0, system enters periodic state, i.e., does not recognize small flaw indication.The size of λ is fixed Amount indicates the power of chaotic characteristic, by the state of the positive negative judgement system of λ, and utilizes the chaotic characteristic of representative system The strong and weak identification for carrying out the weak guided wave signals under very noisy;
(4) the weak guided wave signals S* recognized by Du Fen chaos systems is subjected to time-reversal focusing;
The excitation of the ends A generates signal to be detected, and B terminations receive response signal V of the structure under drivingPB(r, w), response letter It number can be write as:
VPB(r, w)=S*(w)KPA(w)KPB(w)G(r,w) (3)
Wherein KPA(w), KPB(w) it is respectively A, the electromechanical coupling factor of B, G is the frequency response transmission function of structure;
The data-signal received to B terminations carries out time reversal processing, and according to signal processing theory, signal is in time-frequency domain Relationship often, the expression formula for then obtaining reverse signal are altogether:
(5) guided wave signals after time reversal processing are encouraged again at the ends B
According to Acoustic Wave Propagation principle of reciprocity, the structure determining to A end sensors (exciter), the ends B actuator (receiver), Sensor and actuator can be with reciprocity, and frequency response transmission function having the same.
(6) reverse rotation detection signal is received at the ends A, extracts accurate small flaw indication information;The structure that A terminations receive is rung Induction signal VPA(r, w) is:
Wherein KPAB(w) it is KPA(w) and KPB(w) product,Multiply for conjugate complex number Product is real, even positive function, its Fourier transformation is in-phase stacking in time zero, it follows that main peak peak value.In pipeline Middle frequency response function is:
Wherein, Li, Ti, FiAxial symmetry longitudinal wave, axisymmetric torsion wave, asymmetric modes wave, a (r, w), k, c are indicated respectively L, T, signal amplitude, wave number and the spread speed of F waves are indicated respectively;When there are L, when F patterns, the reversion received is terminated in A by T Detect signal VPAIt can be write as:
Implementing Fourier transformation to above-mentioned signal can obtain:
Above-described embodiment is used for illustrating the present invention, rather than limits the invention, the present invention spirit and In scope of the claims, to any modifications and changes that the present invention makes, protection scope of the present invention is both fallen within.

Claims (1)

1. the small defect location detection method of supersonic guide-wave that a kind of TR is combined with Duffing systems, which is characterized in that this method Include the following steps:
(1) the ultrasonic guided wave signals S=f sin (wt) modulated through Hanning windows are excited in the end face A of pipeline, excites pipeline Mode guided wave makes all positions of supersonic guide-wave traversal pipeline;
(2) excite the receiving terminal B near end receive supersonic guide-wave echo-signal and record propagate in supersonic guide-wave pipeline when Between course curve, wherein supersonic guide-wave echo-signal include edge echo signal, noise signal and be submerged in noise it is small lack Fall into signal;
(3) supersonic guide-wave echo-signal is detected and is analyzed using modified Du Fen chaos systems, extracted and identify and flood Small defect information in noise obtains the shear crack defect situation of entire pipeline;Specifically include following sub-step:
(3.1) echo-signal that step (2) receives is input to modified Du Fen chaos systems;Duffing equation can be described as:
x"+cx'-x3+x5=F cos (wt) (1)
In formula:C is damping ratio ,-x3+x5For the nonlinear resilience item of system;F cos (wt) are interior driving force amplitude, and w is plan Power angular frequency is identical as the angular frequency of signal to be detected in step (1);Echo-signal is input to modified Du Fen chaos system After system, obtain:
x"+cx'-x3+x5=F cos (wt)+f sin (wt) (2)
(3.2) maximum Lyapunov exponent is calculated, λ is denoted as,
At the t=0 moment, with p0Centered on, with | | δ p (p0, t) | | ellipsoid is done for radius, | | δ p (p0, t) | | it is the half of t moment Axial length;Effective identification that chaos is carried out by the symbol of λ, when λ is more than 0, system is in chaos state, that is, recognizes in pipeline Small flaw indication;When λ is less than 0, system enters periodic state, i.e., does not recognize small flaw indication;The size of λ is quantitatively marked Will the power of chaotic characteristic, by the state of the positive negative judgement system of λ, and utilizes the strong of the chaotic characteristic of representative system The identification of weak guided wave signals under weak carry out very noisy;
(4) the weak guided wave signals S* recognized by Du Fen chaos systems is subjected to time-reversal focusing;
The excitation of the ends A generates signal to be detected, and B terminations receive response signal V of the structure under drivingPB(r, w), which can To be write as:
VPB(r, w)=S*(w)KPA(w)KPB(w)G(r,w) (3)
Wherein KPA(w), KPB(w) it is respectively A, the electromechanical coupling factor of B, G is the frequency response transmission function of structure;
The data-signal received to B terminations carries out time reversal processing, and according to signal processing theory, signal is to be total to often in time-frequency domain Relationship, the expression formula for then obtaining reverse signal is:
(5) guided wave signals after time reversal processing are encouraged again at the ends B
(6) reverse rotation detection signal is received at the ends A, extracts accurate small flaw indication information;The structural response letter that A terminations receive Number VPA(r, w) is:
Wherein KPAB(w) it is KPA(w) and KPB(w) product,For conjugate complex number product, it is Real, even positive function, its Fourier transformation is in-phase stacking in time zero, it follows that main peak peak value;Frequency in the duct Rate receptance function is:
Wherein, Li, Ti, FiAxial symmetry longitudinal wave, axisymmetric torsion wave, asymmetric modes wave, a (r, w), k, c difference are indicated respectively Indicate L, T, signal amplitude, wave number and the spread speed of F waves;When there are L, when F patterns, the measurement of converse rotation received is terminated in A by T Signal VPAIt can be write as:
Implementing Fourier transformation to above-mentioned signal can obtain:
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