The application of the time reversal method in pipe-like structures based on finite element method (FEM) is investigated. A steel pipe model measuring 70 mm × 3.5 mm is used to analyze the reflection coefficient of the L(0,2) mode with the time reversal process. Simulation results show that the time reversal array method is beneficial to the improvement of the signal-to-noise ratio of a guided wave inspection system. As the intercepting window is widened, more energy is included in re-emitted signals, which leads to a large reflection coefficient of the L(0,2) mode. In parallel, a circumferential locating method based on the time reversal method is described. The time reversal process used for guided wave inspection leads to the temporal and spatial focusing. When the time reversal signals are re-emitted, the angular profile obtained at the axial location of the defect can be used to determine the circumferential location of the defect. Except for a pipe with one defect, the circumferential locating method has been verified on another pipe model with two defects. Meanwhile, the elements number of the time reversal array has been discussed for enhancing the discrimination of the defect circumferential location.
DENG Fei, WU Bin, HE Cunfu
. Time reversal method for guided wave inspection
in pipes[J]. Frontiers of Mechanical Engineering, 2008
, 3(3)
: 251
-260
.
DOI: 10.1007/s11465-008-0050-1
1. Joseph L Rose A baseline and vision of ultrasonic guided wave inspection potentialJournal of Pressure Vessel Technology 2002 124(8)273282
2. Niethammer M Jacobs L J Qu J et al.Time-frequency representation of Lamb waves usingthe reassigned spectrogramThe Journal ofthe Acoustical Society of America 2000 107(2)1924. doi:10.1121/1.428894
3. Siqueira M H S Gatts C E N et al.The use of ultrasonicguided waves and wavelets analysis in pipe inspectionUltrasonics 2004 41785797. doi:10.1016/j.ultras.2004.02.013
4. Li Jian Joseph L R Angular-profile tuning of guidedwaves in hollow cylinders using a circumferential phased arrayIEEE Transaction on Ultrasonics, Ferroelectrivs,and Frequency Control 2002 49(12)17201729. doi:10.1109/TUFFC.2002.1159849
5. Li Jian Joseph L R Implementing guided wave modecontrol by use of a phased transducer arrayIEEE Transaction on Ultrasonics, Ferroelectrivs, and Frequency Control 2001 48(3)761768. doi:10.1109/58.920708
6. Hayashi T Kawashima K Analysis of flexural mode focusingby a semianalytical finite element methodThe Journal of the Acoustical Society of America 2003 113(3)12411248. doi:10.1121/1.1543931
7. Zhang Li Luo Wei Joseph L R Ultrasonic guided wave focusing beyond welds in a pipeline.Review of quantitative nondestructive evaluation 2006 25877884
8. Davies J Cawley P The application of syntheticallyfocused imaging techniques for high resolution guided wave pipe inspectionReview of Quantitative Nondestructive Evaluation 2007 26681688
9. Wu Bin Deng Fei He Cunfu Li Longtao DefectImaging in a pipe based on guided waves techniquesJournal of Data Acquisition & Processing 2006 21(3)345349(in Chinese)
10. Fink M Timereversal of ultrasonic fields – part I: Basic principlesIEEE Transaction on Ultrasonics, Ferroelectrivs,and Frequency Control 1992 39(5)555566. doi:10.1109/58.156174
11. Wu F Thomas J L Fink M Time reversal of ultrasonic fields – part II: ExperimentalresultsIEEE Transaction on Ultrasonics,Ferroelectrivs, and Frequency Control 1992 39(5)567578. doi:10.1109/58.156175
12. Roux P Roman B Fink M Time-reversal in an ultrasonic waveguide.American Institute of Physics 1997 70(14)18111813
13. Roux P Fink M Time reversal in a waveguide:study of the temporal and spatial focusingThe Journal of the Acoustical Society of America 2000 107(5)24182429. doi:10.1121/1.428628
14. Oestges C Kim A D Papanicolaou G et al.Characterization of space-time focusing in time-reversedrandom fieldsIEEE Transactions on Antennasand Propagation 2005 53(1)283293. doi:10.1109/TAP.2004.836399
15. Kim S Kuperman W A et al.Echo-to-reverberationenhancement using a time reversal mirrorThe Journal of the Acoustical Society of America 2004 115(4)15251531. doi:10.1121/1.1649737
16. Thomas J L Fink M A Ultrasonic beam focusing throughtissue inhomogeneities with a time reversal mirror: application totransskull therapyIEEE Transaction on Ultrasonics,Ferroelectrivs, and Frequency Control 1996 43(6)11221129. doi:10.1109/58.542055
17. Wang C H Rose J T Chang F K A computerized time-reversal method for structural healthmonitoringProceedings of the SPIE –The International Society for Optical Engineering 2003 50464858
18. Ing R K Fink M Time-reversed lamb wavesIEEE Transaction on Ultrasonics, Ferroelectrivs,and Frequency Control 1998 45(4)10321043. doi:10.1109/58.710586
19. Anthony D Puckett M Peterson L A time-reversal mirror in a solid circular waveguide usinga single time-reversal elementThe Journalof the Acoustical Society of America 2003 4(2)3136
20. Puckett A D Peterson M L Fidelity of an analytical time-reversalmirrorReview of Progress of QuantitativeNondestructive Evaluation 2002 21945952
21. Montaldo G Roux P Derode A Negreira C Fink M Generation of very high pressure pulseswith 1-bit time reversal in a solid waveguideThe Journal of the Acoustical Society of America 2001 11028492857. doi:10.1121/1.1413753
22. Li Longtao He Cunfu Wu Bin Research on restraining dispersive characteristics of ultrasonicguided wave in a long pipeJournal of DataAcquisition and Processing (Chinese) 2004 19(3)297301
23. Alleyne D N Lowe M J S Cawley P The reflection of guided waves from circumferential notchesin pipesJournal of Applied Mechanics 1998 65635641. doi:10.1115/1.2789105