DOI QR코드

DOI QR Code

Analysis of Dispersion Characteristics of Guided Waves in Rails

레일 초음파의 분산 특성 해석

  • Kang, Bu-Byoung (Dept. of Fire and Disaster Protection Engineering, Woosong Univ.)
  • 강부병 (우송대학교 소방방재학과)
  • Received : 2011.04.13
  • Accepted : 2011.06.15
  • Published : 2011.10.01

Abstract

Guided ultrasonic waves propagating over long distances within a short period provide a fast long-range inspection method. However, structures with arbitrary cross-sections, such as rails, have complicated dispersion characteristics that make analysis of the ultrasonic signal difficult. Therefore, an understanding of the characteristics of the propagating waves in rails is important for the creation of a reliable and practical inspection system using guided waves. In particular, it is necessary to investigate the dispersion characteristics of the guided waves. This paper introduces a method for the calculation of the dispersion curves of KS60 rails by adopting a SAFE method, and discusses the possibility of using guided waves as a technique for rail inspection.

짧은 시간에 장거리를 전파하는 유도 초음파의 특성을 이용하면 빠르게 넓은 영역의 검사가 가능하다. 그러나 레일의 경우와 같이 단면이 단순하지 않고 임의의 형상을 갖는 구조물의 경우 초음파 전달시 발생하는 분산 특성이나 다수의 모드의 발생으로 초음파 신호의 분석에 어려움을 겪는다. 따라서 실용적인 유도 초음파 검사 시스템을 개발하기 위해서는 먼저 레일내를 전파하여 전달되는 초음파의 거동특성을 이해하여야 한다. 특히 레일내를 전파하는 초음파의 분산특성은 필수적으로 확인되어야 할 특성이다. 본논문에서는 SAFE법을 활용하여 KS60 레일내를 전파하는 초음파의 분산곡선을 구하는 방법을 소개하고 유도초음파를 활용한 레일 검사의 가능성에 대하여 살펴보았다.

Keywords

References

  1. Sawley, K. and Reiff, R., 2000, Rail Failure Assessment for the Office of the Rail Regulator, Report No. P-00-070 Produced by Transportation Technology Center, Inc., Pueblo, Colorado, USA.
  2. Wilcox, P. D., Pavlakovic, B. N., Evans, M. J., Vine, K. A., Cawley, P., Lowe, M. J. S. and Alleyne, D. N., 2003, "Long Range Inspection of Rail Using Guided Waves," in Review of Progress in Quantitative NDE, edited by D. O. Thomson and D. E. Chimenti, Plenum Press, New York, Vol. 22, pp. 236-243.
  3. Alleyne, D. N. and Cawley, P., 1992, "Optimisation of Lamb Wave Inspection Techniques," NDT and E International, Vol. 25, pp. 11-22. https://doi.org/10.1016/0963-8695(92)90003-Y
  4. Wilcox, P. D., Evans, M. J., Diligent, O., Lowe, M. J. S. and Cawley, P., 2002, "Dispersion and Excitability of Guided Acoustic Waves in Isotropic Beams with Arbitrary Cross Section," in Review of Progress in Quantitative NDE, edited by D. O. Thomson and D. E. Chimenti, Plenum Press, New York, Vol. 21, pp. 203-210.
  5. Pavlakovic, B. and Lowe, M., 2003, Disperse User's Manual, Imperial College London, London, UK.
  6. Lagasse, P.E., 1973, "Higher-Order Finite Element Analysis of Topographic Guides Supporting Elastic Surface Waves," Journal of the Acoustical Society of America, Vol. 53, pp. 1116-1122. https://doi.org/10.1121/1.1913432
  7. Aalami, B., 1973, "Waves in Prismatic Guides of Arbitrary Cross Section," Journal of Applied Mechanics, Vol. 40, pp. 1067-1072. https://doi.org/10.1115/1.3423127
  8. Gavric, L., 1994, "Finite Element Computation of Dispersion Properties of Thin-Walled Waveguides," Journal of Sound and Vibration, Vol. 173 pp. 113-124. https://doi.org/10.1006/jsvi.1994.1221
  9. Gavric, L., 1995, "Computation of Propagating Waves in Free Rail Using a Finite Element Technique," Journal of Sound and Vibration, Vol. 185 pp. 531-543. https://doi.org/10.1006/jsvi.1995.0398
  10. Wilcox, P., Evans, M., Diligent, O., Lowe, M.J.S. and Cawley, P., 2002, "Dispersion and Excitability of Guided Acoustic Waves in Isotropic Beams with Arbitrary Cross Section," Review of Progress in Quantitative NDE, Vol. 21, pp. 203-210.
  11. Volovoi, V.V., Hodges, D.H., Berdichevsky, V.L. and Sutyrin, V.G., 1998, "Dynamic Dispersion Curves for Non-Homogeneous, Anisotropic Beams with Cross-Section of Arbitrary Geometry," Journal of Sound and Vibration, Vol. 215, pp. 1101-. https://doi.org/10.1006/jsvi.1998.1682
  12. Hayashi, T., Song, W.J. and Rose, J.L., 2003, "Guided Wave Dispersion Curves for a Bar with an Arbitrary Cross-Section, a Rod and Rail Example," Ultrasonics, Vol.41, pp. 175-183. https://doi.org/10.1016/S0041-624X(03)00097-0
  13. Wu, T.X. and Thompson, D.J., 1999, "Analysis of Lateral Vibration Behavior of Railway Track at High Frequencies Using a Continuously Supported Multiple Beam Model," Journal of the Acoustic Society of America, Vol. 106, pp. 1369-1376. https://doi.org/10.1121/1.427171
  14. Wu, T.X. and Thompson, D.J., 1999, "A Double Timoshenko Beam Model for Vertical Vibration Analysis of Railway Track at High Frequencies," Journal of Sound and Vibration, Vol. 224, pp. 329-348. https://doi.org/10.1006/jsvi.1999.2171
  15. Wilcox, P., Evans, M., Pavlakovic, B., Alleyne, D., Vine, K., Cawley, P. and Lowe, M.J.S., 2003, "Guided Wave Testing of Rail," Insight-NDT & Condition Monitoring, Vol. 45, pp. 413-420. https://doi.org/10.1784/insi.45.6.413.52892
  16. COMSOL, User's Guide and Introduction (Version 3.3 by COMSOL AB 2007, http://www.comsol.com/, Most Recently Viewed 30th September 2010).
  17. Predoi, M. V., Castaings, M., Hosten, B. and Bacon, C., 2007, "Wave Propagation Along Transversely Periodic Structures," J. Acoust. Soc. Am., Vol. 121, pp. 1935-1944. https://doi.org/10.1121/1.2534256