Classifying linear and nonlinear structural damage using frequency domain ARX models

Structural Health Monitoring

Volumn 1, Issue 2, 2002, Pages 185-202

  Adams, Douglas E ^a   Farrar, Charles R ^b  

^a Purdue University   (United States)

^b LOS ALAMOS NATIONAL LABORATORY   (United States)

Author keywords

Damage detection; Frequency domain system ID; Nonlinear dynamics

Indexed keywords

EID: 0242503369     PISSN: 14759217     EISSN: None     Source Type: Journal    
DOI: 10.1177/1475921702001002005     Document Type: Article

References (35)

1. Chong, K.P., Carino, N.J. and Washer, G. (2001). Health monitoring of civil infrastructures. In: Kundu, T. (ed.), Proceedings of the SPIE International Symposium on NDE for Advanced Nondestructive Evaluation for Structural and Biological Health Monitoring, Vol. 4335, pp. xiii-xxviii.
2. Vandiver, T.L. (September 1997). Health monitoring of U.S. Army Missile Systems. Proceedings of the International Workshop on Structural Health Monitoring, pp. 191-196, Stanford, CA.
3. Galea, S.C., Powlesland, I.G., Moss, S.D., Konak, M.J., van der Velden, S.P. and Baker, A. A. (2001). Development of structural health monitoring systems for composite bonded repairs on aircraft structures. Proceedings of the SPIE 8th International Symposium on Smart Structures and Materials.
4. Baker, T.E. (September 1999). Condition monitoring innovations for U.S. Army Rotorcraft. Proceedings of the 2nd International Workshop on Structural Health Monitoring, pp. xix-xxix, Stanford, CA.
5. Wu, F. and Chang, F.K. (2001). Built-in active sensing diagnostic system for civil infrastructures. Proceedings of the SPIE 8th International Symposium on Smart Structures and Materials.
6. Teshigawara, M., Isoda, H., Kashima, T. and Tadashi, I. Modeling and measurement for health monitoring of an existing SRC 8-story building. Proceedings of the SPIE 8th International Symposium on Smart Structures and Materials.
7. Sikorsky, C.S. (2001). Health monitoring of the kings stormwater channel bridge. Proceedings of the SPIE 8th International Symposium on Smart Structures and Materials.
8. Farrar, C.R., Baker, W.E., Bell, T.M., Cone, K.M., Darling, T.W., Duffey, T.A., Eklund, A. and Migliori, A. (1994). Dynamic characterization and damage detection in the 1-40 bridge over the rio grane, Los Alamos National Laboratory Report, LA-12767-MS.
9. Kondo, I. and Hamamoto, T. (1994). Local damage detection of flexible offshore platforms using ambient vibration measurements. Proceedings of 4th International Offshore and Polar Engineering Conference, Vol. 4, pp. 400-407.
10. Kim, H.M. and Bartkowicz, T.J. (1993). Damage detection and health monitoring of large space structures. Journal of Sound and Vibration, 27(6), 12-17.
11. Aktan, H.M., Yaman, I.O. and Staton, J.F. Monitoring durability of new concrete bridge decks. Proceedings of the SPIE 6th International Symposium on NDE for Health Monitoring and Diagnostics.
12. Finlayson, R.D., Schaafasma, D.T., Miller, R.K., Finkel, P.E. and Shepherd, B. (2001). Continuous health monitoring of graphite epoxy motorcases (GEM). In: Kundu T. (ed.), Proceedings of the SPIE International Symposium on NDE for Advanced Nondestructive Evaluation for Structural and Biological Health Monitoring, Vol. 4335, pp. 155-166.
13. Feng, M.Q., Kim, D.K., Sheng, L.H., Kim, Y.J. and Fiji, L.M. (2000). Instrumentation of bridges for long-term performance monitoring. Proceedings of the SPIE 6th International Symposium on NDE for Health Monitoring and Diagnostics.
14. Adams, D.E., Brown, R.L. and Schiefer, M. (December 2001). Smart Transducers for Structural Health Monitoring. The International Conference on Smart Technology Demonstrators and Devices, Edinburgh, Scotland.
15. Adams, D.E. and Allemang, R.J. (2001). Discrete frequency models: A new approach to temporal analysis. ASME Journal of Vibration and Acoustics, 123, 98-103.
16. Adams, D.E. (2002). Frequency domain ARX models and multi-harmonic FRF estimators for non-linear dynamic systems. Journal of Sound and Vibration, 250(5), 935-950.
17. Adams, D.E. and Allemang, R.J. (2001). Residual frequency autocorrelation as an indicator of non-linearity. International Journal of Non-Linear Mechanics, 36, 1197-1211.
18. Doebling, S.W., Farrar, C.R., Prime, M.B. and Shevitz, D.W. (1996). Damage identification and health monitoring of structural and mechanical systems from changes in their vibration characteristics: a literature review. Los Alamos Report LA-13070-MS.
19. McMaster, R.C. (1963). Nondestructive Testing Handbook. Vol. II, pp. 36.1-42.74. Ronald Press, New York, NY.
20. Doherty, J.E. (1987). In: Kobayashi, A. (ed.), Nondestructive Evaluation, Vol. II, Chapter 12, pp. 555-586. Society for Experimental Mechanics, Prentice Hall, Englewood Cliffs, NJ.
21. Prime, M.B. (1996). Linear and nonlinear methods for detecting cracks in beams. Proceedings of the 14th International Modal Analysis Conference. Dearborn, MI.
22. Hunter, N.F. (1999). Bilinear system characterization from nonlinear time series analysis. Proceedings of the 17th International Modal Analysis Conference. Orlando, FL.
23. Nichols, J.M., Virgin, L.N., Todd, M.D. and Pecora, L.M. (2001). Damage assessment using local attractor variance. Proceedings of the SPIE 8th International Symposium on Smart Structures and Materials.
24. Farrar, C.R., Doebling, S.W. and Nix, D.A. (1999). Vibration-based structural damage identification. The Royal Society, Philosophical Transactions: Mathematical, Physical and Engineering Sciences.
25. Sohn, H., Farrar, C.R., Hunter, N. and Worden, K. (2001). Applying the LANL statistical pattern recognition paradigm for structural health monitoring to data from a surface-effect fast patrol boat, Los Alamos Report LA-13761-MS.
26. Bedrosian, E. and Rice, S.O. (1971). The output properties of volterra systems driven by harmonic and gaussian inputs. Proceedings of the IEEE, Vol. 59, pp. 1688-1707.
27. Storer, D.M. and Tomlinson, G.R. (1993). Recent developments in the measurement and interpretation of higher order transfer functions from non-linear structures. Mechanical Systems and Signal Processing, 7(2), 173-189.
28. Nikias, C.L. and Petropulu, A.P. (1993). Higher-order Spectra Analysis: A Nonlinear Signal Processing Framework. PTR Prentice-Hall, Inc.
29. Collis, W.B., White, P.R. and Hammond, J.K. (1998). Higher-order spectra: the bispectrum and trispectrum. Mechanical Systems and Signal Processing, 12(3), 375-394.
30. Vinh, T. and Liu, H. (October 1992). Nonlinear structural dynamics by nonparametric method. Identificazione Strutturale. Seriate, Bergamo.
31. Chen, S. and Billings, S.A. (1989). Representations of nonlinear systems: The NARMAX model. International Journal of Control, 49(3), 1012-1032.
32. Worden, K. (October 1992). Characterization of non-linear systems using time data. Identificazione Strutturale. Seriate, Bergamo.
33. Bendat, J.S. (1998). Nonlinear Systems Techniques and Applications. John Wiley & Sons, New York, NY.
34. Hamming, R.W. (1989). Digital filters, 3rd edn. Dover Publications, Inc., Mineola, NY.
35. Johnson, T.J. and Adams, D.E. (2002). Dynamic transmissibility as a differential indicator of structural damage. ASME Journal of Vibration and Acoustics, (in press).