Research Article An Investigation of Structural Damage Location Based on Ultrasonic Excitation-Fiber Bragg Grating Detection

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Advances in Acoustics and Vibration Volume 2013, Article ID 525603, 6 pages http://dx.doi.org/10.1155/2013/525603 Research Article An Investigation of Structural Damage Location Based on Ultrasonic Excitation-Fiber Bragg Grating Detection Yuegang Tan, Li Cai, Bei Peng, and Lijun Meng School of Mechanical and Electronic Engineering, Wuhan University of Technology, Wuhan 430070, China Correspondence should be addressed to Li Cai; caili whut@163.com Received 15 March 2013; Accepted 18 August 2013 Academic Editor: K. M. Liew Copyright 2013 Yuegang Tan et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited. With the continuous development of mechanical automation, the structural health monitoring techniques are increasingly high requirements for damage detection. So structural health monitoring (SHM) has been playing a significant role in terms of damage prognostics. The main contribution pursued in this investigation is to establish a detection system based on ultrasonic excitation and fiber Bragg grating sensing, which combines the advantages of the ultrasonic detection and fiber Bragg grating (FBG). Differencing from most common approaches, a new way of damage detection is based on fiber Bragg grating (FBG), which can easily realize distributed detection. The basic characteristics of fiber Bragg grating sensing system are analyzed, and the positioning algorithm of structural damage is derived in theory. On these bases, the detection system was used to analyze damage localization in the aluminum alloy plate of a hole with diameters of 6 mm. Experiments have been carried out to demonstrate that the sensing system was feasible and that the estimation method of the location algorithm was easy to implement. 1. Introduction Recently, structural health monitoring (SHM) has been playing a significant complimentary role in terms of damage prognostics, which has been applied in many fields, especially in aerospace, civil engineering, railway field extensions, and even in the automobile industry. Traditional nondestructive evaluation (NDE) techniques include ultrasonic, eddy current, and magnetic particle. In recent years, SHM using ultrasonic excitation and piezoelectric ceramics network has been extensively studied, while ultrasonic excitation and fiber Bragg grating sensing technology is a new damage detection method [1]. It fully combines ultrasonic advantages, such as focused power, strong sound press, and long propagation length and the characteristic that FBG can easily construct distributed detection network, overcoming the disadvantages of traditional electronic sensors. At present, it has already been detected by related researchers. Such as, Tsuda presented a novel ultrasound sensing system using a fiber Bragg grating (FBG) and broadband light source to damage inspection[2] and measured imparting damage to carbon fiber composite using FBG [3]. Brian Culshaw summarized the interaction mechanisms between ultrasound and fiber sensors and confirms their functional flexibility to detect damage in a sample [4]. Tsuda et al. analyzed ultrasonic sensitivity through an aluminum plate and also evaluated from the response the amplitude of the FBG sensor [5]. Jang et al. used multiplexed fiber Bragg grating (FBG) sensor to study positioning algorithm for composite structures [6, 7]. However, these predicted detections often differ from real damage. Only a few nondestructive testing techniques can be considered sufficiently for smart materials. The method involves the analysis of the transmitted and reflected waves. The presence of damage is identified by contrasting the detected signal with the reference signal. Aiming at the application of FBG sensors in ultrasonic testing, this paper focuses on the use of FBGs as ultrasonic receivers. The intention of the paper is to present a FBG sensing system based on ultrasonic excitation for the board plates. Thestructureofthepaperisasfollows:inSection 2,theFBG sensingsystemisintroducedbriefly,andthenthecharacteristics of the FBG sensing signals under ultrasonic excitation are analyzed, and Section 3 analyzes the damage localization algorithm based on elliptical technology, whose practical implementation is described using an aluminum alloy plate with a hole with diameters of 6 mm in Section 4. Finally, the testing results obtained using this estimation method are given and the paper is concluded in Section 5.

2 Advances in Acoustics and Vibration FBG sensor demodulation device Oscilloscope Photoelectric conversion Broadband coupler Tunable laser source FBG Detector Ultrasonic signal generating device Sheet metal Oscilloscope Ultrasonic excitation device Figure 1: Detection system based on ultrasonic excitation and FBG sensing. 2. Basic Characteristics of the Ultrasonic Excitation and FBG Sensing The strain caused by ultrasonic spreading in the material is small, usually only a few or a dozen microstrains, so it should be ensured that fiber grating demodulation system has a high demodulation speed to realize the measurement of ultrasonic signals. In addition, the optical fiber grating has an axial strain sensitivity, while the ultrasonic energy is focused on the acoustic axis. In the far field region, the sound on the axis of the sound pressure is reduced with the increase of the relative sound-sourcedistance.tothisend,wefirststudythebasic characteristics of ultrasonic excitation and fiber Bragg grating sensing. The objects of study are three different materials (steel, copper, and aluminum) plates. Experimental measurement system is shown in Figure 1, and the signal demodulated method is an adjustable laser edge filter demodulation. The plate s dimensions are all 300 mm 300 mm 2 mm, FBG paste location diagram is shown in Figure 2,FBGtransversely paste and the wavelength is 1305.304 nm. 2.1. Research on Ways of Ultrasonic Excitation and Medium. Experimental object is aluminum plate, which has 15 test points in each plate and is shown in Figure 2. The experimentaldatashouldbesavedindisk,andanalyzedbymatlab software. Then, each test point of the received signal V pp (signal peak-peak) is obtained. The following diagram in Figure3 is the changing curve of ultrasonic intensity on aluminumplatebylamewave.itcanbeobviouslyseenthat V pp decreased significantly with the angle and the distance increasing. It can be seen from Figure 4 that the use of the detectionresultsbylamewaveismorepreferableinultrasonic damage detection. Test points a total of 15 15 cm FBG 300 mm 300mm 2mm 90 60 45 4cm 8cm 12 cm 10 cm 30 Figure 2: Layout of test points and fiber Bragg grating. In the experiment, longitudinal wave forms lame wave by incidentintotheplateatacertainangle.thisprocedureneeds thecooperationofthewedge.themodeoflambwaveisdifferent excited by different angles of the wedge. Therefore, the selection of the longitudinal wave incidence angle is critical, due to the limitations of the experimental conditions, just 30 degrees and 45 degrees have been chosen to this incident to identify a more appropriate incident angle on steel plate. It canbeseenfromfigure 5, when the angle of the incidence is 30, that the sensitivity of the signal is more strong. Therefore, we chose a wedge of 30.Itcanbeobviouslyseenfrom Figure 6 that the relationship of the ultrasonic intensity on different materials is aluminum > steel> copper.

Advances in Acoustics and Vibration 3 280 210 140 70 0 Lame wave 0 30 45 60 90 Angle 4 8 12 Figure 3: Changing curve of ultrasonic intensity on aluminum plate by lame wave. 300 250 Distance FBG 4 cm 250 200 150 100 50 0 8 10 12 Distance Steel plate Copper plate Aluminum plate Different angles and plates Figure 6: Changing curve of ultrasonic intensity on different plates in 30. 200 150 100 50 0 0 30 45 60 90 Angle Lame wave Longitudinal wave Surface wave Figure 4: Changing curve of ultrasonic intensity on aluminum plate by different waves. Figure 7: The waveform without damage. 60 Different wedge angles and plates 50 40 30 20 8 10 12 Distance Figure 8: The waveform with damage. 30 45 Figure 5: Changing curve of ultrasonic intensity on steel plate in different wedge angles. 2.2. The Experimental Analysis on Structure Damage. It can be concluded from the study above that the ultrasonic intensity on aluminum plate is the biggest and lamest wave excitation and that the excitation angle of 30 is the best. When ultrasonic excitation direction coincides with the axial direction of FBG, the FBG of ultrasonic intensity is the strongest, andtheangleisgreatly,weakenedmoreobviously.themore the distance between ultrasonic and FBG, the more signal received by FBG is stronger. Selecting aluminum plate as object, lame wave incidence, theincidenceangleof30, and designing 6 mm diameter holes departing 8 cm from the axis of fiber grating, we can collect the experimental data of the pilot, which is 4 cm distant fromfbgalongtheaxialdirectionoffbg.itcanbefound from Figures 7 and 8, in the condition of the defective and nondefective, the waveform of the received signal is substantially different and a wave packet can be seen obviously. Seeking the V pp average from many experiments, the V pp of the signal is 133.9 mv in the absence of defects, when defective,

4 Advances in Acoustics and Vibration FBG FBG1 FBG2 d i r i2 Damage FBG3 FBG4 Excitation r i1 Damage Figure 11: Signal propagation path. Ultrasonic excitation Figure 9: Experiment schematic of damage detection. Figure 12: The experimental apparatus. S 1 S 2 T P Figure 10: Schematic diagram of ellipse detection algorithm. thefbgofthereceivedultrasonicintensityissignificantly reduced,andthevoltageofv pp is only 44.2 mv. It is suggested that the structure damage detection is feasible by FBG. 3. Damage Location Algorithm The experiment schematic of ultrasonic excitation (FBGs) damage detection system is shown in Figure 9,includingfour distributed optical fiber gratings. Ultrasonic probe generates ultrasonic signal in plate structure. If damage does not exist in the board structure, sensor only receives health waveform from the ultrasonic probe. When damage exists in the board structure, sensor will receive not only health waveform from the ultrasonic probe, but also emitting wave component produced by the damage, surrounding that which we analyze of the received sensing signal and get information about structural damage. Figure 10 demonstrates the schematic ellipse algorithm for structural damage detection, in which three small circles represent three fiber Bragg grating sensors, triangle represents an ultrasonic probe, five-pointed star represents damage. Excitation probe is set as the origin of coordinates, and three sensors are located at S 1, S 2,andS 3.Supposingthat distance from excitation probe to one sensor is d i,thedistance between the spacing of damage and excitation and the spacing of damage and sensor is l i. S 3 According to the definition of the ellipse with excitation probe and a fiber Bragg grating sensor as the focus, damage point lies on the elliptical circumference. It is impossible to determine the damage location only by one ellipse. Therefore, we need more fiber Bragg gratings to draw the second or the third ellipse. The intersection of these ellipses is the damaged position. The basic idea of ellipse algorithm, which has the advantages of simple geometry based on the assumption, is how to determine the delay time of signal transmission from the excitation source to the sensor under the reflection effect of the damage. According to the propagation speed, we can calculate the distance after obtaining the delay time. Elliptic equation is x 2 ai 2 + y2 b 2 i The related parameters are defined as =1, (i = 1, 2, 3). (1) a i = l i 2, b i = ( l 2 i 2 ) ( d 2 i 2 ). (2) Therefore, we need three distance parameters to determine the elliptic equation, the first distance d i is from the excitation source to every sensor, the second distance r i1 is fromtheexcitationsourcetothedamagedposition,andthe third distance r i2 is from the damaged position to the sensor. According to the definition of the ellipse, the distance sum of r i1 plugging r i2 is l i. Figure 11 is signal propagation path. Assumption of t i1 for arrival time of health sensing signals in plate structure and t i2 forarrivaltimeofsensingsignalsindamagedplatestructure, thedelaytimecanbeexpressedas Δt i =t i2 t i1 = r i1 V 0 + r i2 V 1 d i V 0, (i = 1, 2, 3). (3) The related parameter V 0 isthevelocitysignalunder health mode, while V 1 is the velocity signal under damaged mode through the damaged plate structure. Because the parameter V 1 is close to V 0, we can take the same speed parameters in the calculation process.

Advances in Acoustics and Vibration 5 (a) Health waveform (b) Damage waveform Figure 13: The classical waveform diagram. (a) Health waveform (b) Damage waveform Figure 14: The waveform diagram of the special position. 4. Analysis of Damage Detection Based on the Test Data Basedontheaboveresearch,themonitoringsystemofthe ultrasonic damage detector was shown in Figure 12, using ultrasonic flaw detector as the signal generator with sensors basedonfourfbgs,twoofwhichwerearrangedinastraight line spacing of 50 mm with the other two on the other line. Ultrasonic signals from ultrasonic probe about a distance of 100mmfromFBG,weretransmittedtotheplatestructure throughthecouplingagent,andfbgspastedontheboard structure detected by the ultrasonic strain. The center wavelengths of the FBGs were 1303 nm and the center frequency of ultrasonic probe was 1 MHZ with the 30 wedge angle. The demodulation system was to demodulate the FBG reflection wavelength,whichwouldbedisplayedonadigitaloscilloscopedisplayafterthephotoelectricconversionwhichwas adjusted to 10 db. Type of tunable laser source was Santec- TSL-510, photoelectric detector was Thorlabs-PDA-10CS, and digital oscilloscope was RIGOL-DS1102E. Taking one sensor, whose sensing signals were collected, we analyzed propagation velocity and delay time of ultrasonic transmission. In order to establish the elliptic equation, we needed to know the distance d i and the distance l i,which could be calculated according to the time parameters of the output waveform. Typical health waveform obtained by experiment was as shown in Figure 13(a), and damaged waveform was as shown in Figure 13(b) when the hole diameter of damage was 6 mm. According to the comparison of the waveform parameters shown in Figure 13, theelliptic equation was established. Then, the second elliptic equation was established by another sensor using the same method. Then, we would get the intersection of the ellipses, which was the damage position. When ultrasonic acoustic axis and optical fiber grating were laid on a line, waveform under damaged mode had no obvious change compared with waveform under health mode, as shown in Figure 14. So,itwasveryimportant to select the appropriate incentive points of the ultrasonic excitation source. The estimation method of delay time for damage analysis had the advantages of simple principle and convenient operation, but estimation accuracy of time delay was limited because the differential signals amplitude between health signal and damage signal obtained were weak. 5. Conclusion This paper had researched the ultrasonic excitation fiber grating sensing system and proposed the location algorithm based on elliptic technology for damage detection, taking the board structure as the object. Firstly, the basic characteristics of fiber Bragg grating sensing signals under ultrasonic excitation were analyzed with different excitation parameters,

6 Advances in Acoustics and Vibration then the damage location algorithm was studied, which had the advantages of simple operation. Finally, the experimental equipments based on ultrasonic excitation-fiber Bragg grating detection were set up. The experimental phenomenon showed that the estimation method of the location algorithm based on elliptic technology was simple, but the accuracy of location detection was limited due to the change of ultrasonicwavemode.infuturework,wecantrytoreducethe frequency of ultrasound excitation in order to improve the positioning accuracy. Acknowledgment This paper is funded and supported by the National Natural Science Foundation of China under Grant no. 51075313, namely, new principle and method of mechanical damage location detection based on ultrasound excitation and distributed fiber Bragg gratings sensing. References [1] S. Muthumari and A. Singh, Review of various ultrasonic techniques employed in modern industries, Engineering Science and Technology, vol. 3, no. 4, pp. 3078 3085, 2011. [2] H. Tsuda, A Bragg wavelength-insensitive fiber Bragg grating ultrasound sensing system that uses a broadband light and no optical filter, Sensors, vol. 11, no. 7, pp. 6954 6966, 2011. [3] H.Tsuda,N.Toyama,K.Urabe,andJ.Takatsubo, Impactdamage detection in CFRP using fiber Bragg gratings, Smart Materials and Structures,vol.13,no.4,pp.719 724,2004. [4] B. Culshaw, G. Thursby, D. Betz, and B. Sorazu, The detection of ultrasound using fiber-optic sensors, IEEE Sensors Journal, vol.8,no.7,pp.1360 1367,2008. [5] H. Tsuda, K. Kumakura, and S. Ogihara, Ultrasonic sensitivity of strain-insensitive fiber Bragg grating sensors and evaluation of ultrasound-induced strain, Sensors, vol. 10, no. 12, pp. 11248 11258, 2010. [6] B.-W. Jang, S.-O. Park, Y.-G. Lee, C.-G. Kim, and C.-Y. Park, Detection of impact damage in composite structures using high speed FBG interrogator, Advanced Composite Materials, vol.21,no.1,pp.29 44,2012. [7] B.-W. Jang, Y.-G. Lee, J.-H. Kim, Y.-Y. Kim, and C.-G. Kim, Real-time impact identification algorithm for composite structures using fiber Bragg grating sensors, Structural Control and Health Monitoring,vol.19,no.7,pp.580 591,2012.

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