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Structural damage detection through longitudinal wave propagation using spectral finite element method

  • Kumar, K. Varun (Department of Civil Engineering, Amrita School of Engineering, Coimbatore, Amrita Vishwa Vidyapeetham, Amrita University) ;
  • Saravanan, T. Jothi (Advanced Seismic Testing and Research Laboratory, CSIR-Structural Engineering Research Centre) ;
  • Sreekala, R. (Advanced Seismic Testing and Research Laboratory, CSIR-Structural Engineering Research Centre) ;
  • Gopalakrishnan, N. (Advanced Seismic Testing and Research Laboratory, CSIR-Structural Engineering Research Centre) ;
  • Mini, K.M. (Department of Civil Engineering, Amrita School of Engineering, Coimbatore, Amrita Vishwa Vidyapeetham, Amrita University)
  • Received : 2016.05.24
  • Accepted : 2016.09.30
  • Published : 2017.01.25

Abstract

This paper investigates the damage identification of the concrete pile element through axial wave propagation technique using computational and experimental studies. Now-a-days, concrete pile foundations are often common in all engineering structures and their safety is significant for preventing the failure. Damage detection and estimation in a sub-structure is challenging as the visual picture of the sub-structure and its condition is not well known and the state of the structure or foundation can be inferred only through its static and dynamic response. The concept of wave propagation involves dynamic impedance and whenever a wave encounters a changing impedance (due to loss of stiffness), a reflecting wave is generated with the total strain energy forked as reflected as well as refracted portions. Among many frequency domain methods, the Spectral Finite Element method (SFEM) has been found suitable for analysis of wave propagation in real engineering structures as the formulation is based on dynamic equilibrium under harmonic steady state excitation. The feasibility of the axial wave propagation technique is studied through numerical simulations using Elementary rod theory and higher order Love rod theory under SFEM and ABAQUS dynamic explicit analysis with experimental validation exercise. Towards simulating the damage scenario in a pile element, dis-continuity (impedance mismatch) is induced by varying its cross-sectional area along its length. Both experimental and computational investigations are performed under pulse-echo and pitch-catch configuration methods. Analytical and experimental results are in good agreement.

Keywords

References

  1. Ai, D., Zhu, H. and Luo, H. (2016), "Sensitivity of embedded active PZT sensor for concrete structural impact damage detection", Constr. Build. Mater., 111, 348-357. https://doi.org/10.1016/j.conbuildmat.2016.02.094
  2. Akbas, S.D. (2014a), "Wave propagation analysis of edge cracked circular beams under impact force", PloS one, 9(6), e100496. https://doi.org/10.1371/journal.pone.0100496
  3. Akbas, S.D. (2014b), "Wave propagation analysis of edge cracked beams resting on elastic foundation", Int. J. Eng. Appl. Sci. (IJEAS), 6(1), 40-52.
  4. Akbas, S.D. (2016), "Wave propagation in edge cracked functionally graded beams under impact force", J. Vib. Control, 22(10), 2443-2457. https://doi.org/10.1177/1077546314547531
  5. Bahrami, A. and Teimourian, A. (2015), "Nonlocal scale effects on buckling, vibration and wave reflection in nanobeams via wave propagation approach", Compos. Struct., 134, 1061-1075. https://doi.org/10.1016/j.compstruct.2015.09.007
  6. Barbieri, E., Cammarano, A., De Rosa, S. and Franco, F. (2009), "Waveguides of a composite plate by using the spectral finite element approach", J. Vib. Control, 15, 347-367. https://doi.org/10.1177/1077546307087455
  7. Bently, D.E. and Hatch, C.T. (2003), Fundamentals of Rotating Machinery Diagnostics, ASME Press, New York, NY, USA.
  8. Bityurin, A.A. and Manzhosov, V.K. (2009), "Waves induced by the longitudinal impact of a rod against a steeped rod in contact with a rigid barrier", J. Appl. Math. Mech., 73, 162-168. https://doi.org/10.1016/j.jappmathmech.2009.04.006
  9. Doyle, J.F. (1997), Wave Propagation in Structures: Spectral Analysis Using Fast Discrete Fourier Transforms, Springer, New York, NY, USA.
  10. Eltaher, M.A., Khater, M.E. and Emam, S.A. (2016), "A review on nonlocal elastic models for bending, buckling, vibrations, and wave propagation of nanoscale beams", Appl. Math. Model, 40(5), 4109-4128. https://doi.org/10.1016/j.apm.2015.11.026
  11. Farrar, C.R. and Lieven, N.A.J. (2007), "Damage prognosis: the future of structural health monitoring", Phil. Trans. R. Soc., 365(1851), 623-632. https://doi.org/10.1098/rsta.2006.1927
  12. Farrar, C.R. and Worden, K. (2007), "An introduction to structural health monitoring", Phil. Trans. R. Soc., 365(1851), 303-315. https://doi.org/10.1098/rsta.2006.1928
  13. Feng, Q., Kong, Q. and Song, G. (2016), "Damage detection of concrete piles subject to typical damage types based on stress wave measurement using embedded smart aggregates transducers", Measurement, 88, 345-352. https://doi.org/10.1016/j.measurement.2016.01.042
  14. Frikha, A., Treyssede, F. and Cartraud, P. (2011), "Effect of axial load on the propagation of elastic waves in helical beams", Wave Motion, 48(1), 83-92. https://doi.org/10.1016/j.wavemoti.2010.08.001
  15. Gan, C., Wei, Y. and Yang, S. (2014), "Longitudinal wave propagation in a rod with variable cross-section", J. Sound Vib., 333(2), 434-445. https://doi.org/10.1016/j.jsv.2013.09.010
  16. Gan, C., Wei, Y. and Yang, S. (2016), "Longitudinal wave propagation in a multi-step rod with variable cross-section", J. Vib. Control, 22(3), 837-852. https://doi.org/10.1177/1077546314531806
  17. Gopalakrishnan, S. (2000), "A deep rod finite element for structural dynamics and wave propagation problems", Int. J. Numer. Meth. Eng., 48(5), 731-744. https://doi.org/10.1002/(SICI)1097-0207(20000620)48:5<731::AID-NME901>3.0.CO;2-#
  18. Gopalakrishnan, S. and Doyle, J.F. (1994), "Wave propagation in connected wave guides of varying cross section", J. Sound Vib., 175(3), 347-363. https://doi.org/10.1006/jsvi.1994.1333
  19. Gopalakrishnan, S. and Doyle, J.F. (1995), "Spectral super-elements for wave propagation in structures with local non uniformities", Comput. Method Appl. M., 121(1-4), 77-90. https://doi.org/10.1016/0045-7825(94)00686-H
  20. Guo, S. and Yang, S. (2012), "Wave motions in non-uniform one-dimensional waveguides", J. Vib. Control, 18(1), 92-100. https://doi.org/10.1177/1077546311399948
  21. He, W.Y. and Zhu, S. (2015), "Adaptive-scale damage detection strategy for plate structures based on wavelet finite element model", Struct. Eng. Mech., Int. J., 54(2), 239-256. https://doi.org/10.12989/sem.2015.54.2.239
  22. He, W.Y., Zhu, S. and Ren, W.X. (2014), "A wavelet finite element-based adaptive-scale damage detection strategy", Smart Struct. Syst., Int. J., 14(3), 285-305. https://doi.org/10.12989/sss.2014.14.3.285
  23. Hibbitt, H., Karlsson, B. and Sorensen, P. (2011), "Abaqus analysis user's manual version 6.10", Dassault Systemes Simulia Corp.: Providence, RI, USA.
  24. Kisa, M. and Gurel, M.A. (2007), "Free vibration analysis of uniform and stepped cracked beams with circular cross sections", Int. J. Eng. Sci., 45(2), 364-380. https://doi.org/10.1016/j.ijengsci.2007.03.014
  25. Kocaturk, T., Eskin, A. and Akbas, S.D. (2011), "Wave propagation in a piecewise homogenous cantilever beam under impact force", Int. J. Phys. Sci., 6(16), 3867-3874.
  26. Krawczuk, M. (2002), "Application of spectral beam finite element with a crack and iterative search technique for damage detection", Finite Elem. Anal. Des., 38(6), 537-548. https://doi.org/10.1016/S0168-874X(01)00084-1
  27. Krawczuk, M., Palacz, M. and Ostachowicz, W. (2003), "The dynamic analysis of a cracked Timoshenko beam by the spectral element method", J. Sound Vib., 264(5), 1139-1153. https://doi.org/10.1016/S0022-460X(02)01387-1
  28. Krawczuk, M., Grabowska, J. and Palacz, M. (2006), "Longitudinal wave propagation. Part I-Comparison of rod theories", J. Sound Vib., 295(3), 461-478. https://doi.org/10.1016/j.jsv.2005.12.048
  29. Lakshmanan, N., Raghuprasad, B.K., Gopalakrishnan, N., Sathishkumar, K. and Murthy, S.G.N. (2010), "Detection of contiguous and distributed damage through contours of equal frequency change", J. Sound Vib., 329(9), 1310-1331. https://doi.org/10.1016/j.jsv.2009.11.006
  30. Lee, S.K., Mace, B.R. and Brennan, M.J. (2007), "Wave propagation, reflection and transmission in nonuniform one-dimensional waveguides", J. Sound Vib., 304(1), 31-49. https://doi.org/10.1016/j.jsv.2007.01.039
  31. Liu, K., Li, X. and Sun X. (1997), "A numerical method for axisymmetric wave propagation problem of anisotropic solids", Comput. Methods Appl. Mech. Engrg., 145(1-2), 109-116. https://doi.org/10.1016/S0045-7825(96)01204-2
  32. Mahapatra, D.R. and Gopalakrishnan, S. (2003), "A spectral finite element model for analysis of axial-flexural-shear coupled wave propagation in laminated composite beams", Comput. Struct., 59(1), 67-88. https://doi.org/10.1016/S0263-8223(02)00228-3
  33. Ostachowicz, W. (2008), "Damage detection of structures using spectral finite element method", Comput. Struct., 86(3), 454-462. https://doi.org/10.1016/j.compstruc.2007.02.004
  34. Ostachowicz, W., Krawczuk, M., Zak, A. and Kudela, P. (2006), "Damage detection in elements of structures by the elastic wave propagation method", Compt. Asst. Mech. Eng. Sci., 13, 109-124.
  35. Palacz, M. and Krawczuk, M. (2002), "Analysis of longitudinal wave propagation in a cracked rod by the spectral element method", Comput. Struct., 80(24), 1809-1816. https://doi.org/10.1016/S0045-7949(02)00219-5
  36. Palacz, M., Krawczuk, M. and Ostachowicz, W. (2005a), "The spectral finite element model for analysis of flexural-shear coupled wave propagation: Part 1: Laminated multilayer composite beam", Compos. Struct., 68(1), 37-44. https://doi.org/10.1016/j.compstruct.2004.02.012
  37. Palacz, M., Krawczuk, M. and Ostachowicz, W. (2005b), "The spectral finite element model for analysis of flexural-shear coupled wave propagation. Part 2: Delaminated multilayer composite beam", Compos. Struct., 68(1), 45-51. https://doi.org/10.1016/j.compstruct.2004.02.013
  38. Rao, G.V.R., Davis, T.T., Sreekala, R., Gopalakrishnan, N., Iyer, N.R. and Lakshmanan, N. (2015), "Damage identification through wave propagation and vibration based methodology for an axial structural element", J. Vib. Eng. Tech., 3(4), 383-399.
  39. Saravanan, T.J. Gopalakrishnan, N. and Rao, N.P. (2015a), "Damage detection in structural element through propagating waves using radially weighted and factored RMS", Measurement, 73, 520-538. https://doi.org/10.1016/j.measurement.2015.06.015
  40. Saravanan, T.J., Rao, N.P. and Gopalakrishnan, N. (2015b), "Experimental and numerical investigation on longitudinal wave propagation in rod with structural discontinuity", J. Struct. Eng. (India), 42(1), 1-7.
  41. Saravanan, T.J., Gopalakrishnan, N. and Rao, N.P. (2016), "Detection of damage through coupled axial-flexural wave interactions in a sagged rod using the spectral finite element method", J. Vib. Control. DOI: 10.1177/1077546316630855
  42. Shull, P.J. (2002), Non-Destructive Evaluation Theory, Techniques, and Applications, Marcel Dekker Inc., New York, NY, USA.
  43. Tian, J., Li, Z. and Su, X. (2003), "Crack detection in beams by wavelet analysis of transient flexural waves", J. Sound Vib., 261(4), 715-727. https://doi.org/10.1016/S0022-460X(02)01001-5
  44. Worden, K. and Dulieu-Barton, J.M. (2004), "An overview of intelligent fault detection in systems and structures", Int. J. Struct. Health Monit., 3(1), 85-98. https://doi.org/10.1177/1475921704041866
  45. Wu, Z.J. and Li, F.M. (2014), "Spectral element method and its application in analyzing the vibration band gap properties of two-dimensional square lattices", J. Vib. Control. DOI: 10.1177/1077546314531805
  46. Yang, Z., Radzienski, M., Kudela, P. and Ostachowicz, W. (2016), "Two-dimensional modal curvature estimation via Fourier spectral method for damage detection", Compos. Struct., 148, 155-167. https://doi.org/10.1016/j.compstruct.2016.04.001
  47. Zak, A. and Krawczuk, M. (2011), "Certain numerical issues of wave propagation modelling in rods by the spectral finite element method", Finite Elem. Anal. Des., 47(9), 1036-1046. https://doi.org/10.1016/j.finel.2011.03.019

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