CN105548364B - The high-order nonlinear parameter characterization method of thermal barrier coating bond strength - Google Patents
The high-order nonlinear parameter characterization method of thermal barrier coating bond strength Download PDFInfo
- Publication number
- CN105548364B CN105548364B CN201510916595.XA CN201510916595A CN105548364B CN 105548364 B CN105548364 B CN 105548364B CN 201510916595 A CN201510916595 A CN 201510916595A CN 105548364 B CN105548364 B CN 105548364B
- Authority
- CN
- China
- Prior art keywords
- coating
- wave
- longitudinal wave
- order
- nonlinear
- Prior art date
- Legal status (The legal status is an assumption and is not a legal conclusion. Google has not performed a legal analysis and makes no representation as to the accuracy of the status listed.)
- Active
Links
Classifications
-
- G—PHYSICS
- G01—MEASURING; TESTING
- G01N—INVESTIGATING OR ANALYSING MATERIALS BY DETERMINING THEIR CHEMICAL OR PHYSICAL PROPERTIES
- G01N29/00—Investigating 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
- G01N29/04—Analysing solids
- G01N29/12—Analysing solids by measuring frequency or resonance of acoustic waves
-
- G—PHYSICS
- G01—MEASURING; TESTING
- G01N—INVESTIGATING OR ANALYSING MATERIALS BY DETERMINING THEIR CHEMICAL OR PHYSICAL PROPERTIES
- G01N2291/00—Indexing codes associated with group G01N29/00
- G01N2291/02—Indexing codes associated with the analysed material
- G01N2291/023—Solids
- G01N2291/0231—Composite or layered materials
Landscapes
- Physics & Mathematics (AREA)
- Acoustics & Sound (AREA)
- Health & Medical Sciences (AREA)
- Life Sciences & Earth Sciences (AREA)
- Chemical & Material Sciences (AREA)
- Analytical Chemistry (AREA)
- Biochemistry (AREA)
- General Health & Medical Sciences (AREA)
- General Physics & Mathematics (AREA)
- Immunology (AREA)
- Pathology (AREA)
- Investigating Or Analyzing Materials By The Use Of Ultrasonic Waves (AREA)
Abstract
The object of the present invention is to provide a kind of transmission-type longitudinal wave high-order nonlinear parameter characterization method of anchoring strength of coating, the bond strength for detecting coating has a wide range of applications in fields such as aerospaces.The present invention anchoring strength of coating transmission-type longitudinal wave high-order nonlinear parameter characterization method include：The parameter of pumping signal is determined according to the propagation distance of transmission-type longitudinal wave and the measured material velocity of sound.High-power ultrasonic transmitting-receiving instrument emits burst signal, is incident in thermal barrier coating using transmission-type longitudinal wave, and longitudinal wave interacts at the combination interface of coating and matrix, generates higher hamonic wave signal.In experimentation, nonlinear parameter of the record coating under different conditions compares with standard curve, predicts the bond strength of coating.
Description
One, technical field
The invention belongs to ultrasonic non-destructive inspection techniques and anchoring strength of coating field, and in particular to thermal barrier coating bond strength
Transmission-type longitudinal wave limited amplitude method, be the bond strength of a utilization multiple nonlinear parameters detection coatings.
Two, background technology
Thermal barrier coating bond strength longitudinal wave high-order nonlinear parameter characterization method is a kind of thermal barrier coating combination of detection in real time
The ultrasonic non-destructive inspection techniques of intensity.During ultrasonic propagation, the interaction of sound wave and combination interface causes ultrasound
Phenomena such as scattering or reflection of wave, harmonic signal is produced, so that sound wave is occurred non-linear.This method the fields such as aerospace all
It is widely used, if the fatigue damage of aircraft engine turbine detects, the detection of the fatigue damages such as wheel hub of automobile or train,
And the detection of the mechanical components such as axis and connector envelope.
Thermal barrier coating bond strength longitudinal wave high-order nonlinear parameter characterization method uses the ultrasound that frequency range is 1MHz-20MHz
Wave, detection receive signal fundamental voltage amplitude and higher hamonic wave amplitude, second order nonlinear coefficient and third-order nonlinear optical coefficient etc. all with heat
The bond strength of barrier coating changes and the trend of variation.
Recent studies indicate that the bonding interface situation between the damage and coating and basis material of face coat and ultrasound
The nonlinear effect of signal is closely related.With the production of the bonding interface damage inside face coat and between coating and basis material
Raw and develop, for the ultrasonic wave of single-frequency when propagating, non-linear due to material will generate high-frequency harmonic, i.e., 2 times, 3 times etc.
The high-order harmonic wave of integer multiple frequency.Researcher is mostly ground using second order classics nonlinear factor in the application of nonlinear theory at present
Study carefully sound wave non-linear phenomena, in 1755, Euler proposed the concept of nonlinear acoustics, Lagrange (1760), Stokes
(1848) and Rayleigh (1910) etc. has studied nonlinear acoustics theory.The apparent nonlinear method using Lamb wave of Deng is to layer
Shape solid structure surface nature is characterized.Guo Yi using the second harmonic technology to solid propellant rocket interface bond quality into
Row ultrasonic nonodestruction evaluation, tax state is double to evaluate coating for metal surfaces damage using non-linear ultrasonic, and only a few studies person makes
The second nonlinear that elastic impulse wave is propagated in the medium with third-order nonlinear optical coefficient, Koen E-A Van Den Abeele
With high-order nonlinear phenomenon and second order nonlinear coefficient and Higher-order nonlinear coefficient to the earlier damage of assessment material,
M.Amura and Yan Hongjuan evaluates the fatigue life of metal material using second order and third-order nonlinear optical coefficient, Gang Ren
It is analyzed Deng the relationship to the ultrasonic second order and third-order nonlinear optical coefficient in measurement process.Generally speaking non-linear at present super
Sound theoretical research concentrates on nonlinear wave equations, and nonlinear wave equations only derive second order nonlinear coefficient, there is no
To the derivation of Higher-order nonlinear coefficient, especially not yet find using third-order non-linear ultrasound examination to anchoring strength of coating
The patent and document characterized, for this problem, it is proposed that same using second order nonlinear coefficient and third-order nonlinear optical coefficient
When the bond strength of coating is evaluated, have very important significance to the research of anchoring strength of coating tool.
Three, invention content
It is an object of the present invention to provide a kind of longitudinal wave high-order nonlinear characterizing methods of thermal barrier coating bond strength, for online
Detect high-order nonlinear ultrasound parameter variation tendency in thermal barrier coating bond strength experimentation.
The characterizing method of longitudinal wave high-order nonlinear parameter of the thermal barrier coating bond strength of the present invention includes：It is non-using ultrasound
Linear system receives and dispatches instrument transmitting and received ultrasonic signal, is incident on ultrasonic wave using transmission-type longitudinal wave limited amplitude method principle
In thermal barrier coating test specimen, longitudinal wave produces higher harmonic component with interaction at the combination interface of thermal barrier coating and matrix, profit
With the size of higher hamonic wave amplitude and second order, the detection of third-order non-linear ultrasound coefficient and characterization anchoring strength of coating.
Four, it illustrates
Fig. 1 anchoring strength of coating detection method flow charts；
Fig. 2 transmission-type longitudinal wave limited amplitude method principles.
Five, specific implementation mode
Fig. 1 is anchoring strength of coating non-linear ultrasonic detecting system schematic diagram, and each section is thermal barrier coating test specimen, ultrasonic wave
Energy converter, high-power ultrasonic transmitting-receiving instrument, computer, oscillograph.Pumping signal week is determined according to the thickness of tested coating and matrix
Issue, frequency and amplitude etc..Thermal barrier coating is mounted on the position as where in Fig. 1, energy converter is mounted on Fig. 1 energy converters position
It sets, connected nonlinearity ultrasonic testing system.
In Fig. 2 when ultrasonic wave is in coating and the propagation of matrix combination interface, caused by the anharmonicity of potential energy between atomic force
The primary stress of non-linear non-individual body and the relationship of strain are represented by：
In formula, βn(n=1,2,3) it is nonlinear factor.
In order to explain the generation of harmonic wave, it is assumed that incidence wave is a list frequency ultrasonic longitudinal wave, after sound wave penetrates test specimen, another
End is received energy converter reception.If ignoring decaying, one-dimensional wave equation is：
In formula, ρ is Media density, and x is propagation distance, and t is the time, and u is in medium positioned at the displacement of particle at x.Simultaneous
(1), (2) formula using the relationship of particle displacement and strain, and is ignored the higher order term in (1) formula more than three ranks, is obtained one-dimensional non-
Linear ultrasonic fluctuates equation
In formula, c is the velocity of wave in medium.
Approximate solution is obtained using perturbation method.U (x, t) is transformed into a series of power series：
U (x, t)=u0(x,t)+xu1(x,t)+···+xnun(x,t) (4)
Using perturbation method, and it is a small amount of more than three high-order to ignore during solution exponent number, can obtain the approximation of (3)
Solution：
Fundamental wave A can be obtained from formula (5)1With the amplitude of second harmonic, triple-frequency harmonics：
A1=A (6)
Nonlinear factor β can be derived from by formula (7)1For
Formula (8) can obtain nonlinear factor β2For
The difference of thermal barrier coating bond strength can influence secondary, triple-frequency harmonics generation efficiency in transmission signal, and by formula
(9) distortion degree of waveform when and (10) obtained nonlinear factor reflects ultrasonic wave across material and its combination interface.Cause
Non-linear ultrasonic detection technique can be applied to the detection of thermal insulation layer construction interface bond strength by this.
Claims (7)
1. a kind of longitudinal wave high-order nonlinear parameter characterization method of anchoring strength of coating, it is characterised in that：Use high frequency ultrasound
It receives and dispatches instrument and generates impulse wave string signal, the ultrasonic longitudinal wave energy converter that excitation centre frequency is f uses the ultrasound that centre frequency is 2f
Longitudinal wave energy converter receives acoustic signals, draws the relation curve of the nonlinear parameter and practical bond strength of different coating, is used for
Detect the bond strength of coating；
Ultrasonic wave is incident in thermal barrier coating test specimen using transmission-type longitudinal wave limited amplitude method principle, longitudinal wave and thermal barrier coating and
Interaction generates higher harmonic component at the combination interface of matrix, super using higher hamonic wave amplitude and second order, third-order non-linear
Sonic system number detects the size with characterization anchoring strength of coating；
The primary stress of non-linear non-individual body and the relationship of strain is caused to be expressed as by the anharmonicity of potential energy between atomic force：
In formula, β n (n=1,2,3) are nonlinear factor；
Then one-dimensional wave equation is：
In formula, ρ is Media density, and x is propagation distance, and t is the time, and u is in medium positioned at the displacement of particle at x；Simultaneous (1),
(2) formula using the relationship of particle displacement and strain, and ignores the higher order term in (1) formula more than three ranks, obtains one-dimensional nonlinear
Ultrasonic wave equation：
In formula, c is the velocity of wave in medium；
Approximate solution is obtained using perturbation method, u (x, t) is transformed into a series of power series：
U (x, t)=u0(x,t)+xu1(x,t)+···+xnun(x,t) (4)
Using perturbation method, and it is a small amount of more than three high-order to ignore during solution exponent number, obtains the approximate solution of (3)：
Fundamental wave A can be obtained from formula (5)1With the amplitude of second harmonic, triple-frequency harmonics：
A1=A (6)
Nonlinear factor β can be derived from by formula (7)1For：
Formula (8) can obtain nonlinear factor β2For：
2. the longitudinal wave high-order nonlinear parameter characterization method of anchoring strength of coating according to claim 1, it is characterised in that：
Non-linear anharmonicity, the crystal grain mainly due to atomic force potential energy of coating misplaces, fine damage, including：It is silent crackle, microcosmic
Delamination crack, pseudocaustics method, bond strength, contact interface and precipitated phase；When ultrasonic wave is in coating and two kinds of different mediums of substrate
Junction when propagating variation cause the non-linear of ultrasonic wave, that is, receive in signal and the ingredient of higher hamonic wave occur, therefore
Utilize the size of ultrasound non-linear parameter characterization anchoring strength of coating.
3. the longitudinal wave high-order nonlinear parameter characterization method of anchoring strength of coating according to claim 1, feature exist
In：Using high frequency ultrasound transmitting-receiving instrument transmitting and reception signal, using train of pulse as pumping signal, quantity and the sound wave of train of pulse exist
The tested propagation distance torn open in material is related with speed.
4. the longitudinal wave high-order nonlinear parameter characterization method of anchoring strength of coating according to claim 1, feature exist
In：The wave distortion generated in coating and substrate combination interface are propagated using ultrasonic pulse signal string obtains nonlinear system
Number uses transmission-type longitudinal wave limited amplitude method to the non-linear ultrasonic effect of the bond strength of coating.
5. the longitudinal wave high-order nonlinear parameter characterization method of anchoring strength of coating according to claim 1, it is characterised in that：
Docking receives acoustic signals and carries out spectrum analysis, obtains the fundamental wave and high-order harmonic wave amplitude for receiving signal, calculates higher hamonic wave and base
Amplitude Ration and second order, the third-order nonlinear optical coefficient of wave.
6. the longitudinal wave high-order nonlinear parameter characterization method of anchoring strength of coating according to claim 1, it is characterised in that：
Stretching experiment is carried out to test specimen using cupping machine, non-linear ultrasonic system detectio is used after tensile stress is fixed per minor tick
The bond strength state of coating, obtain higher hamonic wave and fundamental voltage amplitude ratio, second order nonlinear coefficient and third-order nonlinear optical coefficient with
The variation tendency of anchoring strength of coating.
7. the longitudinal wave high-order nonlinear parameter characterization method of anchoring strength of coating according to claim 1, it is characterised in that：
Using second order nonlinear coefficient and third-order nonlinear optical coefficient with the variation tendency of anchoring strength of coating, to nonlinear factor and combine
Intensity carry out data fitting, obtain fitting function, under conditions of non-destructive testing when measure nonlinear factor can to combine
Intensity carries out quantitative predication.
Priority Applications (1)
| Application Number | Priority Date | Filing Date | Title |
|---|---|---|---|
| CN201510916595.XA CN105548364B (en) | 2015-12-10 | 2015-12-10 | The high-order nonlinear parameter characterization method of thermal barrier coating bond strength |
Applications Claiming Priority (1)
| Application Number | Priority Date | Filing Date | Title |
|---|---|---|---|
| CN201510916595.XA CN105548364B (en) | 2015-12-10 | 2015-12-10 | The high-order nonlinear parameter characterization method of thermal barrier coating bond strength |
Publications (2)
| Publication Number | Publication Date |
|---|---|
| CN105548364A CN105548364A (en) | 2016-05-04 |
| CN105548364B true CN105548364B (en) | 2018-11-02 |
Family
ID=55827697
Family Applications (1)
| Application Number | Title | Priority Date | Filing Date |
|---|---|---|---|
| CN201510916595.XA Active CN105548364B (en) | 2015-12-10 | 2015-12-10 | The high-order nonlinear parameter characterization method of thermal barrier coating bond strength |
Country Status (1)
| Country | Link |
|---|---|
| CN (1) | CN105548364B (en) |
Families Citing this family (7)
| Publication number | Priority date | Publication date | Assignee | Title |
|---|---|---|---|---|
| CN106226398B (en) * | 2016-07-28 | 2019-09-13 | 洛阳轴承研究所有限公司 | A kind of lossless detection method of PDC composite sheet faying face quality |
| CN108169330B (en) * | 2018-03-07 | 2020-09-11 | 哈尔滨工业大学深圳研究生院 | Device and method for nondestructive testing of axial stress of concrete member based on nonlinear ultrasonic harmonic method |
| CN109283079B (en) * | 2018-09-25 | 2020-10-09 | 华东交通大学 | Method for measuring and calculating rock attenuation coefficient and nonlinear coefficient |
| CN109507294A (en) * | 2018-11-16 | 2019-03-22 | 东北大学 | A kind of thermal barrier coating water logging supersonic damage-free detection method |
| CN109738518B (en) * | 2019-01-03 | 2020-07-28 | 厦门大学 | Method and device for evaluating heat treatment effect of material through nonlinear electromagnetic ultrasonic resonance |
| JP7420344B2 (en) * | 2019-09-02 | 2024-01-23 | 三菱重工業株式会社 | Adhesive layer evaluation system and adhesive layer evaluation method |
| CN110726772B (en) * | 2019-11-13 | 2021-04-30 | 大连理工大学 | Method for nondestructive measurement of coating interface bonding strength by ultrasonic bulk wave phase spectrum |
Citations (3)
| Publication number | Priority date | Publication date | Assignee | Title |
|---|---|---|---|---|
| CN101082602A (en) * | 2007-07-16 | 2007-12-05 | 北京交通大学 | Method for measuring material acoustics non-linear coefficient using rayleigh surface wave |
| CN101949894A (en) * | 2010-08-16 | 2011-01-19 | 南京大学 | Method for detecting interface contact strength by double frequency ultrasound |
| CN104359977A (en) * | 2014-10-22 | 2015-02-18 | 北京理工大学 | Acoustic surface wave high-order nonlinear parameter representation method for bending fatigue state of metal plate |
Family Cites Families (2)
| Publication number | Priority date | Publication date | Assignee | Title |
|---|---|---|---|---|
| US6566072B1 (en) * | 1995-05-31 | 2003-05-20 | Washington University | Mammaglobin, a secreted mammary-specific breast cancer protein |
| US10775351B2 (en) * | 2014-05-28 | 2020-09-15 | Industry-University Cooperation Foundation Of Hanyang University | Apparatus for assessing degradation and estimating strength by using ultrasound and method for assessing degradation and estimating strength using the same |
-
2015
- 2015-12-10 CN CN201510916595.XA patent/CN105548364B/en active Active
Patent Citations (3)
| Publication number | Priority date | Publication date | Assignee | Title |
|---|---|---|---|---|
| CN101082602A (en) * | 2007-07-16 | 2007-12-05 | 北京交通大学 | Method for measuring material acoustics non-linear coefficient using rayleigh surface wave |
| CN101949894A (en) * | 2010-08-16 | 2011-01-19 | 南京大学 | Method for detecting interface contact strength by double frequency ultrasound |
| CN104359977A (en) * | 2014-10-22 | 2015-02-18 | 北京理工大学 | Acoustic surface wave high-order nonlinear parameter representation method for bending fatigue state of metal plate |
Also Published As
| Publication number | Publication date |
|---|---|
| CN105548364A (en) | 2016-05-04 |
Similar Documents
| Publication | Publication Date | Title |
|---|---|---|
| CN105548364B (en) | The high-order nonlinear parameter characterization method of thermal barrier coating bond strength | |
| CN105372330A (en) | Non-linear Lamb wave frequency mixing method for detecting microcrack in plate | |
| WO2020232687A1 (en) | Method for detecting damage by using carrier modulated nonlinear ultrasonic guided-waves | |
| CN101813669B (en) | Method for identifying plate defect and damage based on nonlinear acoustics and time reversal principle | |
| CN101949894B (en) | Method for detecting interface contact strength by double frequency ultrasound | |
| CN108872393B (en) | Nonlinear ultrasonic frequency mixing method for detecting structural fatigue crack direction | |
| CN104359977A (en) | Acoustic surface wave high-order nonlinear parameter representation method for bending fatigue state of metal plate | |
| CN102426192A (en) | Method of applying Rayleigh waves in non-linear ultrasonic evaluation of surface damage of metal material | |
| CN101813667A (en) | Method for detecting early-stage mechanical property degradation of material by utilizing nolinear rayleigh wave | |
| Zhu et al. | Nonlinear ultrasonic detection of partially closed cracks in metal plates using static component of lamb waves | |
| Wang et al. | A modal decomposition imaging algorithm for ultrasonic detection of delamination defects in carbon fiber composite plates using air-coupled Lamb waves | |
| Wang et al. | Evaluation of the matrix crack number in carbon fiber reinforced plastics using linear and nonlinear acousto-ultrasonic detections | |
| Liu et al. | Measurement method of bolt hole assembly stress based on the combination of ultrasonic longitudinal and transverse waves | |
| Chen et al. | Nonlinear lamb wave imaging method for testing Barely Visible Impact Damage of CFRP laminates | |
| CN104458913B (en) | Nonlinear guide wave evaluation method and nonlinear guide wave evaluation device of material performance degradation | |
| Li et al. | Cumulative second harmonic generation of ultrasonic guided waves propagation in tube-like structure | |
| Shi et al. | An online stress monitoring strategy based on Wigner–Ville time–frequency energy extraction of single-frequency dual mode Lamb waves | |
| Zhu et al. | Detection of nonlinear Lamb wave using a PVDF comb transducer | |
| Drewry et al. | One-dimensional time-domain finite-element modelling of nonlinear wave propagation for non-destructive evaluation | |
| Ju et al. | A non-collinear mixing technique to measure the acoustic nonlinearity parameter of an adhesive bond from one side of the sample | |
| Draudvilienė et al. | Validation of dispersion curve reconstruction techniques for the A0 and S0 modes of Lamb waves | |
| Ranjbar Naserabadi et al. | Ultrasonic high frequency lamb waves for evaluation of plate structures | |
| CN201653989U (en) | System for testing early mechanical property degradation of material by utilizing non-linear Rayleigh waves | |
| Wu et al. | Evaluation of early-stage fatigue damage in metal plates using quasi-static components of low-frequency lamb waves | |
| CN114062506B (en) | Air coupling ultrasonic damage imaging system based on non-collinear frequency mixing technology and imaging method thereof |
Legal Events
| Date | Code | Title | Description |
|---|---|---|---|
| C06 | Publication | ||
| PB01 | Publication | ||
| C10 | Entry into substantive examination | ||
| SE01 | Entry into force of request for substantive examination | ||
| GR01 | Patent grant | ||
| GR01 | Patent grant |