The behavior of higher order mode shape derivatives in damaged, beam-like structures

Journal of Sound and Vibration

Volumn 309, Issue 3-5, 2008, Pages 426-464

  Whalen, Timothy M ^a  

^a PURDUE UNIVERSITY   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

COMPUTER SIMULATION; DERIVATIVES; NUMERICAL METHODS; PARAMETER ESTIMATION; VIBRATION ANALYSIS;

DERIVATIVE DISCONTINUITIES; FORMAL APPROXIMATIONS; GLOBAL SETTING;

DAMAGE DETECTION;

EID: 35748932343     PISSN: 0022460X     EISSN: 10958568     Source Type: Journal    
DOI: 10.1016/j.jsv.2007.07.054     Document Type: Article

References (31)

1. S.W. Doebling, C.R. Farrar, M.B. Prime, D.W. Shevitz, Damage identification and health monitoring of structural and mechanical systems from changes in their vibration characteristics: a literature review, Report LA-13070-MS, Los Alamos National Laboratory, Los Alamos, NM, 1996.
2. H. Sohn, C.R. Farrar, F.M. Hemez, D.D. Shunk, D.W. Stinemates, B.R. Nadler, A review of structural health monitoring literature: 1996-2001, Report LA-13976-MS, Los Alamos National Laboratory, Los Alamos, NM, 2003.
3. Abdel Wahab M.M., and De Roeck G. Damage detection in bridges using modal curvatures: application to a real damage scenario. Journal of Sound and Vibration 226 (1999) 217-235
4. M.I. Friswell, J.E.T. Penney, Is damage location using vibration measurements practical? EUROMECH 365 International Workshop: DAMAS 97, Structural Damage Assessment using Advanced Signal Processing Procedures, Sheffield, UK, June/July 1997, pp. 351-362.
5. Biswas M., Pandey A.K., and Bluni S. Modified chain-code computer vision techniques for interrogation of vibration signatures for structural fault detection. Journal of Sound and Vibration 175 (1994) 89-104
6. Cawley P., and Adams R.D. The location of defects in structures from measurements of natural frequencies. Journal of Strain Analysis 4 (1979) 49-57
7. W.M. West, Illustration of the use of modal assurance criterion to detect structural changes in an orbiter test specimen, Proceedings of the Fourth International Modal Analysis Conference, February 3-6 1986, Los Angeles, CA, pp. 1-6.
8. Yuen M.M.F. A numerical study of the eigenparameters of a damaged cantilever. Journal of Sound and Vibration 103 (1985) 301-310
9. Pandey A.K., Biswas M., and Samman M.M. Damage detection from changes in curvature mode shapes. Journal of Sound and Vibration 145 (1991) 321-332
10. N. Stubbs, J.-T. Kim, K. Topole, An efficient and robust algorithm for damage localization in offshore platforms, Proceedings of the ASCE Tenth Structures Congress, April 13-15, 1992, San Antonio, TX, pp. 543-546.
11. S.S. Law, P. Waldron, C. Taylor, Damage detection of a reinforced concrete bridge deck using the frequency response function, Proceedings of the 10th International Modal Analysis Conference, February 3-7 1992, San Diego, CA, pp. 772-778.
12. F. Huang, S. Gu, Application of higher order cumulants to structure fault diagnosis, Proceedings of the 11th International Modal Analysis Conference, February 1-4 1993, Kissimmee, FL, pp. 1237-1240.
13. Safak E. New directions in seismic monitoring of multi-story buildings. In: Chang F.-K. (Ed). Structural Health Monitoring, Current Status and Perspectives (1997), Technomic Publishing, Lancaster, PA 418-430
14. K.T. Feroz, S.O. Oyadiji, Damage assessment of slotted bars using auto-correlation technique. Structural Damage Assessment Using Advanced Signal Processing Procedures, Proceedings of DAMAS '97, Sheffield, UK, June/July 1997, pp. 337-348.
15. P.J. Jacob, M.J. Desforges, A.D. Ball, Analysis of suitable wavelet coefficients for identification of the simulated failure of composite materials, Structural Damage Assessment Using Advanced Signal Processing Procedures, Proceedings of DAMAS '97, Sheffield, UK, June/July 1997, pp. 31-40.
16. C. Modena, D. Sonda, D. Zonta, Damage localization in reinforced concrete structures by using damping measurements, Damage Assessment of Structures, Proceedings of the International Conference on Damage Assessment of Structures (DAMAS '99), Dublin, Ireland, June 1999, pp. 132-141.
17. Vincent H.T., Hu S.-L.J., and Hou Z. Damage detection using empirical mode decomposition method and a comparison with wavelet analysis. In: Chang F.-K. (Ed). Structural Health Monitoring 2000 (1999), Technomic Publishing, Lancaster, PA 891-900
18. H. Sohn, C.R. Farrar, Statistical process control and projection techniques for damage detection, European COST F3 Conference on System Identification and Structural Health Monitoring, Madrid, Spain, June 2000, pp. 105-114.
19. Abdo M.A.-B., and Hori M. A numerical study of structural damage detection using changes in the rotation of mode shapes. Journal of Sound and Vibration 251 (2002) 227-239
20. J.F. Gauthier, The Higher Order Derivative Discontinuity Method for Nondestructive Evaluation and Rating of Bridges, PhD Thesis, Purdue University, West Lafayette, IN, 2005.
21. Meirovitch L. Analytical Methods in Vibrations (1967), Macmillan, New York
22. Yavari A., Sarkani S., and Moyer Jr. E.T. On applications of generalized functions to beam bending problems. International Journal of Solids and Structures 37 (2000) 5675-5705
23. Biondi B., and Caddemi S. Closed form solutions of Euler-Bernoulli beams with singularities. International Journal of Solids and Structures 42 (2005) 3027-3044
24. Christides S., and Barr A.D.S. One-dimensional theory of cracked Bernoulli-Euler beams. International Journal of Mechanical Sciences 26 (1984) 639-648
25. Shen M.-H.H., and Pierre C. Natural modes of Bernoulli-Euler beams with symmetric cracks. Journal of Sound and Vibration 138 (1990) 115-134
26. Chondros T.G. The continuous crack flexibility model for crack identification. Fatigue and Fracture in Engineering Materials and Structures 24 (2001) 643-650
27. Carneiro S.H.S., and Inman D.J. Continuous model for the transverse vibration of cracked Timoshenko beams. Journal of Vibration and Acoustics 124 (2002) 310-320
28. Abdel Wahab M.M., De Roeck G., and Peeters B. Parameterization of damage in reinforced concrete structures using model updating. Journal of Sound and Vibration 228 (1999) 717-730
29. Sinha J.K., Friswell M.I., and Edwards S. Simplified models for the location of cracks in beam structures using measured vibration data. Journal of Sound and Vibration 251 (2002) 13-38
30. Blevins R.D. Formulas for Natural Frequency and Mode Shape (2001), Krieger, Malabar, FL
31. J.F. Gauthier, T.M. Whalen, T.M., J. Liu, Experimental validation of the higher order derivative discontinuity method for damage identification, Journal of Structural Control and Health Monitoring (2007), in press, doi:10.1002/stc.210.