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Goodness dispersion curves for ultrasonic guided wave based SHM: a sample problem in corrosion monitoring

Published online by Cambridge University Press:  03 February 2016

H. Gao
Affiliation:
[email protected], Research and Development, Innerspec Technologies, Lynchburg, Viginia, USA
J. L. Rose
Affiliation:
[email protected], Department of Engineering Science and Mechanics, Penn State University, Pennsylvania, USA

Abstract

Ultrasonic guided wave techniques have great potential for structural health monitoring applications. Appropriate mode and frequency selection is the basis for achieving optimised damage monitoring performance. In this paper, several important guided wave mode attributes are introduced in addition to the commonly used phase velocity and group velocity dispersion curves while using the general corrosion problem as an example. We first derive a simple and generic wave excitability function based on the theory of normal mode expansion and the reciprocity theorem. A sensitivity dispersion curve is formulated based on the group velocity dispersion curve. Both excitability and sensitivity dispersion curves are verified with finite element simulations. Finally, a goodness dispersion curve concept is introduced to evaluate the tradeoffs between multiple mode selection objectives based on the wave velocity, excitability and sensitivity.

Type
Research Article
Copyright
Copyright © Royal Aeronautical Society 2010 

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References

1. Achenbach, J. D., Wave Propagation in Elastic Solids, Amsterdam, North-Holland, 1973.Google Scholar
2. Auld, B.A., Acoustic Fields and Waves in Solids, 1990, Malabar, Florida, USA, Krieger Publishing Company,Google Scholar
3. Banerjee, S., Prosser, W. and Mal, A.K., Calculation of the response of a composite plate to localized dynamic surface loads using a new wave number integral method, ASME J Applied Mechanics, 2005, 72, pp 1824.10.1115/1.1828064Google Scholar
4. Chimenti, D.E., Guided waves in plates and their use in material characterization, Appl Mech Rev, 50, (5), 1997, pp 247284.10.1115/1.3101707Google Scholar
5. Ditri, J.J. and Rose, J.L., Excitation of Guided Elastic Wave Modes in Hollow Cylinders by Applied Surface Tractions, J Appied Physics, 72, (7), 1992, pp 25892597.10.1063/1.351558Google Scholar
6. Ditri, J.J. and Rose, J.L., Excitation of guided waves in generally anisotropic layers using finite source, ASME J Applied Mechanics, 1994, 61, (2), pp 330338.10.1115/1.2901449Google Scholar
7. Gavric, L., Computation of propagating waves in free rail using finite element techniques, J Sound and Vibration, 1995, 185, pp 531543.Google Scholar
8. Gao, H. and Rose, J.L., Multifeature optimization of guided wave modes for structural health monitoring of composites, Materials Evaluation, 2007, 65, (10), pp 10351041.Google Scholar
9. Gao, H., Ultrasonic Guided Wave Mechanics for Composite Material Structural Health Monitoring, Engineering Science and Mechanics. University Park, The Pennsylvania State University, PhD dissertation, 2007.Google Scholar
10. Ghosh, T., Kundu, T. and Karpur, P., Efficient use of Lamb modes for detecting defects in large plates, Ultrasonics, 1998, 36, pp 791801.10.1016/S0041-624X(98)00012-2Google Scholar
11. Giurgiutiu, V., Tuned lamb wave excitation and detection with Piezoelectric wafer active sensors for structural health monitoring. J Intelligent Material Systems and Structures, 16, 2005, pp 291305.Google Scholar
12. Graff, K., Elastic Waves in Solids, New York, USA, Oxford University Press, 1973.Google Scholar
13. Haskell, N.A., Dispersion of surface waves in multilayered media. Bull Seismol Soc Am, 43, pp 1734, 1953.10.1785/BSSA0430010017Google Scholar
14. Hayashi, T., Song, W.J. and Rose, J.L., Guided wave dispersion curves for a bar with an arbitrary cross-section, a rod and rail example, Ultrasonics, 2003, 41, pp 175183.Google Scholar
15. Hosten, B. and Castaings, M., Transfer matrix of multilayered absorbing and anisotropic media. Measurements and simulations of ultrasonic wave propagation through composite materials. J Acoust Soc Am, 94, (3), pp 14881495.Google Scholar
16. Huang, K.H. and Dong, S.B., Propagating waves and edge vibrations in anisotropic composite cylinders, J Sound and Vibration, 1984, 96, (3), pp 363379.10.1016/0022-460X(84)90363-8Google Scholar
17. Knopoff, L., Matrix method for elastic wave problems, Bull Seismol Soc Am, 1964, 54, pp 431438.10.1785/BSSA0540010431Google Scholar
18. Kundu, T and Mal, A.K., Elastic waves in multilayered solid due to a dislocation source, Wave Motion, 1985, 7, (5), pp 459471.10.1016/0165-2125(85)90020-4Google Scholar
19. Kundu, T., Maji, A., Ghosh, T. and Maslov, K., detection of kissing bonds by Lamb waves, Ultrasonics, 1998, 35, pp 573580.Google Scholar
20. Lagasse, P.E., Higher-order finite element analysis of topographic guides supporting elastic surface waves, J Acoustic Soc Am, 1973, 53, (4), pp 114128.Google Scholar
21. Lamb, H., Waves in elastic plates. Proc Roy Soc A, 93, 1917, pp 114128.Google Scholar
22. Lin, M. and Chang, F.K., The manufacturing of composite structures with a built-in network of piezoceramics, Composite Science and Technology, 2002, 62, pp 919939.Google Scholar
23. Love, A.E.H., Some Problems of Geodynamics, Cambridge University Press, 1911.Google Scholar
24. Lowe, M.J.S., Matrix techniques for modeling ultrasonic waves in multilayered media. IEEE Transactions on Ultrasonics, Ferroelectrics, and Frequency Control, 1995, 42, (2), pp 525541.Google Scholar
25. Matt, H. and Bartoli, I., et al, Ultrasonic guided wave monitoring of composite wing skin-to-spar bonded joints in aerospace structures. J Acoust Soc Am, 2005, 118, (4), pp 22402252.Google Scholar
26. Nayfeh, A.H., Wave propagation in layered anisotropic media. Amsterdam, Lausanne, New York, Oxford, Shannon, Tokyo, Elsevier.Google Scholar
27. Raghavan, A. and Cesnik, C.E.S., Finite-dimensional pieozoelectric transducer modeling for guided wave based structural health monitoring. Smart Materials and Structures, 2005, 14, pp 14481461.10.1088/0964-1726/14/6/037Google Scholar
28. Rayleigh, L., On waves propagating along the plane surface of an elastic solid. Proc London Math. Soc, 17, 1885, pp 411.10.1112/plms/s1-17.1.4Google Scholar
29. Rokhlin, S.I. and Wang, L., Ultrasonic waves in layered anisotropic media: characterization of multidirectional composites, Int J Solids and Structures, 2002, 39, pp 55295545.10.1016/S0020-7683(02)00500-0Google Scholar
30. Rose, J.L., Ultrasonic Waves in Solid Media, Cambridge University Press, Cambridge, UK, 1999.Google Scholar
31. Thomson, W.T., Transmission of elastic waves through a stratified solid material, J Applied Physics, 1950, 21, pp 8993.Google Scholar
32. Wilcox, P.D. and Lowe, M.J.S., et al Mode and transducer selection for long range Lamb wave inspection, J Intelligent Material Systems and Structures, 2001, 12, pp 553565.10.1177/10453890122145348Google Scholar