Smart Structures and Systems

Techno-Press (테크노프레스)
권호 표지
DOI QR코드

DOI QR Code

The application of modal filters for damage detection

  • Mendrok, Krzysztof (AGH University of Science and Technology, Department of Robotics and Mechatronics) ;
  • Uhl, Tadeusz (AGH University of Science and Technology, Department of Robotics and Mechatronics)
  • Received : 2008.04.10
  • Accepted : 2009.04.20
  • Published : 2010.03.25
⟨ Previous Next ⟩

Abstract

A modal filter is a tool used to extract the modal coordinates of each individual mode from a system's output. This is achieved by mapping the response vector from the physical space to the modal space. It decomposes the system's responses into modal coordinates, and thus, on the output of the filter, the frequency response with only one peak corresponding to the natural frequency to which the filter was tuned can be obtained. As was shown in the paper (Deraemecker and Preumont 2006), structural modification (e.g. a drop in stiffness or mass due to damage) causes the appearance of spurious peaks on the output of the modal filter. A modal filter is, therefore, a great indicator of damage detection, with such advantages as low computational effort due to data reduction, ease of automation and lack of sensitivity to environmental changes. This paper presents the application of modal filters for the detection of stiffness changes. Two experiments were conducted: the first one using the simulation data obtained from the numerical 7DOF model, and the second one on the experimental data from a laboratory stand in 4 states of damage.

Keywords

Acknowledgement

Supported by : Polish Means for Science

References

  1. Agneni, A., Crema, L. and Mastroddi, F. (2000), "Damage detection from truncated frequency response functions", European COST F3 Conf. on System Identification and Structural Health Monitoring, Madrid, Spain, 137-146.
  2. Balis Crema, L. and Mastroddi, F. (1998), "Direct approach to updating and damage detection by using FRF data", Proc. of ISMA23, Noise and Vibration Engineering, Leuven, Belgium.
  3. Bodeux, J.B. and Golinval, J.C. (2000), "ARMAV model technique for system identification and damage detection", European COST F3 Conf. on System Identification and Structural Health Monitoring, Madrid, Spain, 303-312.
  4. Carden, P. and Fanning, P. (2004), "Vibration based condition monitoring: a review", Struct. Health Monit., 3(4), 355-377. https://doi.org/10.1177/1475921704047500
  5. Carrasco, C., Osegueda, R., Ferregut, C. and Grygier, M. (1997), "Localisation and quantification of damage in a space truss model using modal strain energy", Smart Systems for Bridges, Structures, and Highways, Proc. of SPIE, 3043, 181-192.
  6. Deraemaeker, A. and Preumont, A. (2006), "Vibration-based damage detection using large array sensors and spatial filters", Mech. Syst. Signal Pr., 20(7), 1615-1630. https://doi.org/10.1016/j.ymssp.2005.02.010
  7. Doebling, S.W., Farrar, C.R. and Prime, M.B. (1998), "A summary review of vibration-based damage identification methods", Shock Vib. Digest, 30(2), 91-105. https://doi.org/10.1177/058310249803000201
  8. El-Ouafi Bahlous, S., Abdelghani, M., Smaoui, H. and El-Borgi, S. (2007), "Modal filtering and statistical approach to damage detection and diagnosis in structures using ambient vibrations measurements", J. Vib. Control, 13(3), 281-308. https://doi.org/10.1177/1077546307076287
  9. Ettouney, M., Daddazio, R., Hapij, A. and Aly, A. (1999), "Health monitoring of complex structures", Smart Structures and Materials 1999: Industrial and Commercial Applications of Smart Structures Technologies, Proc. of SPIE, 3326, 368-379.
  10. Fritzen, C.P. and Bohle, K. (2000), "Parameter selection strategies in model-based damage detection", SHM 2000, Palo Alto, CA.
  11. Gaul, L. and Hurlebaus, S. (2000), "Wavelet transform to identify the location and force-time history of transient load in a plate", Structural Health Monitoring 2000, Stanford University, Palo Alto, CA, 851-860.
  12. Gawronski, W. and Sawicki, J. (2000), "Structural damage detection using modal norms", J. Sound Vib., 229(1), 194-198. https://doi.org/10.1006/jsvi.1999.2179
  13. Heyns, P.S. (1997), "Structural damage assessment using response-only measurements", Structural Damage Assessment Using Advanced Signal Processing Procedures, Proc. of DAMAS '97, Univ. of Sheffield, UK, 213-223.
  14. Ho, Y.K. and Ewins, D.J. (1999), "Numerical evaluation of damage index", Structural Health Monitoring 2000, Stanford University, Palo Alto, CA, 995-1011.
  15. Kawiecki, G. (2000), "Modal damping measurements for damage detection", European COST F3 Conf. on System Identification and Structural Health Monitoring, Madrid, Spain, 651-658.
  16. Ki-Young, K., Jong-Jae, L., Chung-Bang, Y. and Jeong-Tae, K. (2008), "Damage detection in beam-like structures using deflections obtained by modal flexibility matrices", Smart Struct. Syst., 4(5), 605-628. https://doi.org/10.12989/sss.2008.4.5.605
  17. Lisowski, W. (2006), Automation of Procedures within Experimental Modal Analysis; Selected Issues (in Polish), AGH Publishers, Krakow, Poland.
  18. Lopes, V. Jr., Pereira, J.A. and Inman, D.J. (2000), "Structural FRF acquisition via electric impedance measurement applied to damage location", Proc. of SPIE, 4062, 1549-1555.
  19. Maeck, J., Abdel Wahab, M. and De Roeck, G. (1998), "Damage detection in reinforced concrete structures by dynamic system identification", Proc. of ISMA23, Noise and Vibration Engineering, Leuven, Belgium.
  20. Meirovitch, L. and Baruh, H. (1982), "Control of self-adjoint distributed parameter system", J. Guid. Control Dynam., 8(6), 60-66.
  21. Mendrok, K. and Uhl, T. (2004), "Overview of modal model-based damage detection methods", Proc. of 2004 ISMA, Leuven, Belgium.
  22. Mendrok, K. and Uhl, T. (2006), "Reconstruction of loading forces from response data measured in flight", Proc. of 2006 ISMA, Leuven, Belgium.
  23. Naldi, G. and Venini, P. (1997), "Post-processing singular solutions by the wavelet transform", Structural Damage Assessment Using Advanced Signal Processing Procedures, Proc. of DAMAS '97, Univ. of Sheffield, UK, 109-120.
  24. Peeters, B., Maeck, J. and De Roeck, G. (2000), "Dynamic monitoring of the Z24-Bridge: separating temperature effects from damage", In Proc. of the European COST F3 Conf. on System Identification and Structural Health Monitoring, 377-386, Madrid, Spain.
  25. Ruotolo, R., Sorohan, S. and Surace, C. (2000), "Analysis of behaviour of three-dimensional truss structure", European COST F3 Conf. on System Identification and Structural Health Monitoring, Madrid, Spain, 169-178.
  26. Ruotolo, R. and Surace, C. (1997), "Damage detection using singular value decomposition", Structural Damage Assessment Using Advanced Signal Processing Procedures, Proc. of DAMAS '97, Univ. of Sheffield, UK, 87-96.
  27. Shelley, S.J., Freudinger, L.C. and Allemang, R.J. (1992), "Development of an on-line parameter estimation system using the discrete modal filter", Proc. of the 10th Int. Modal Analysis Conf. (IMAC), San Diego, California, Feb. 3-8, pp. 173-183.
  28. Slater, G.L. and Shelley, S.J. (1993), "Health monitoring of flexible structures using modal filter concepts", Proc. of SPIE, 1917, 997-1008.
  29. Sohn, H. and Law, K.H. (2000), "Extraction of ritz vectors from vibration test data", Structural Health Monitoring 2000, Stanford University, Palo Alto, CA, 840-850.
  30. Uhl, T. (1997), Computer-Aided Identification of Modal Models (in Polish), WNT, Warsaw, Poland.
  31. Wang, M.L., Xu, F.L. and Lloyd, G.M. (2000), "Systematic numerical analysis of damage index method used for bridge diagnostics", Smart Structures and Materials 2000: Smart Systems for Bridges, Structures, and Highways, Proc. of SPIE, Vol. 3988, Newport Beach, CA, 154-164.
  32. Zak, A., Krawczuk, M. and Ostachowicz, W. (1999), "Vibration of a laminated composite plate with closing delamination; structural damage assessment using advanced signal processing procedures", Proc. of DAMAS '99, Dublin, Ireland, pp.17-26.
  33. Zhang, Q., Allemang, R.J. and Brown, D.L. (1990), "Modal filter: concept and applications", Proc. of Int. Modal Analysis Conf., pp. 487-496.
  34. Zimmerman, D.C. (1999), "Looking into the crystal ball: the continued need for multiple viewpoints in damage detection", Damage Assessment of Structures, Proc. of DAMAS 99, Dublin, Ireland, 76-90.

Cited by

  1. Vision-based algorithms for damage detection and localization in structural health monitoring vol.23, pp.1, 2016, https://doi.org/10.1002/stc.1755
  2. Axial Strain Accelerations Approach for Damage Localization in Statically Determinate Truss Structures vol.32, pp.4, 2017, https://doi.org/10.1111/mice.12258
  3. A FRF-based algorithm for damage detection using experimentally collected data vol.2, pp.4, 2015, https://doi.org/10.12989/smm.2015.2.4.399
  4. Operational modal filter and its applications vol.83, pp.4, 2013, https://doi.org/10.1007/s00419-012-0700-y
  5. An application of operational deflection shapes and spatial filtration for damage detection vol.16, pp.6, 2015, https://doi.org/10.12989/sss.2015.16.6.1049
  6. An application of operational modal analysis in modal filtering vol.305, 2011, https://doi.org/10.1088/1742-6596/305/1/012094
  7. SHM System Based on Modal Filtration vol.518, pp.1662-9795, 2012, https://doi.org/10.4028/www.scientific.net/KEM.518.289
  8. Spatial Filter for Operational Deflection Shape Component Filtration vol.569-570, pp.1662-9795, 2013, https://doi.org/10.4028/www.scientific.net/KEM.569-570.868
  9. Damage observability, localization and assessment based on eigenfrequencies and eigenvectors curvatures vol.8, pp.2, 2011, https://doi.org/10.12989/sss.2011.8.2.191
  10. A simple method to detect cracks in beam-like structures vol.9, pp.4, 2010, https://doi.org/10.12989/sss.2012.9.4.335
  11. Control-structure interaction in piezoelectric deformable mirrors for adaptive optics vol.21, pp.6, 2010, https://doi.org/10.12989/sss.2018.21.6.777
  12. Damage Detection in Plates with the Use of Laser-Measured Mode Shapes vol.2020, pp.None, 2010, https://doi.org/10.1155/2020/8858126
  13. A novel feature-based probability of detection assessment and fusion approach for reliability evaluation of vibration-based diagnosis systems vol.19, pp.3, 2010, https://doi.org/10.1177/1475921719856274