DOI QR코드

DOI QR Code

Damage assessment of linear structures by a static approach, I: Theory and formulation

  • Tseng, Shih-Shong (Department of Civil Engineering, National Kaohsiung Institute of Technology)
  • Published : 2000.02.25

Abstract

The objective of this research is to propose a new global damage detection parameter, termed as the static defect energy (SDE). This candidate parameter possesses the ability to detect, locate and quantify structural damage. To have a full understanding about this parameter and its applications, the scope of work can be divided into several tasks: theory and formulation, numerical simulation studies, experimental verification and feasibility studies. This paper only deals with the first part of the task. Brief introduction will be given to the dynamic defect energy (DDE) after systematically reviewing the previous works. Process of applying the perturbation method to the oscillatory system to obtain a static expression will be followed. Two implementation methods can be used to obtain SDE equations and the diagrams. Both results are equally good for damage detection.

Keywords

References

  1. Adams, R.D., Walton, D., Fletcroft, J.E. and Short, D. (1975), "Vibration testing as a nondestructive test tool for composite materials", Composite Reliability: ASTM STP 580, Philadelphia, 159-175.
  2. Adams, R.D., Cawley, P., Pye, C.J. and Stone, B.J. (1978), "Vibration technique for nondestructive assessing the integrity of structures", J. Mech. Engr. Sci., 20(2), 93-100. https://doi.org/10.1243/JMES_JOUR_1978_020_016_02
  3. Akgun, M.A., Ju, F.D. and Paez, T.L. (1985), "Transmissibility as a means to diagnose damage in structures", Proceedings of the 3rd Int. Modal Analysis Conference, Orlando.
  4. Akgun, M.A. and Ju, F.D. (1990), "Damage diagnosis in frame structures with a dynamic response", Mech. of Structures and Machines, 18(2), 175-196. https://doi.org/10.1080/08905459008915665
  5. Akgun, M.A. and Ju, F.D. (1987), "Diagnosis of multiple cracks on a beam structure", Int. J. Analytical and Experimental Modal Analysis, 2(4), 149-154.
  6. Allemang, R.J. and Brown, D.L. (1982), "A correlation coefficient for modal vector analysis", Proceedings of the 1st IMAC, Orlando.
  7. Biswas, M., Pandey, A.K. and Samman, M.M. (1991), "Diagnostic experimental spectral/ modal analysis of a highway bridge", Int. J. Analy. and Exp. Modal Analysis, 5(1), 33-42.
  8. Cawley, P. and Adams, R.D. (1979), "The location of defects in structures from measurements of natural frequencies", J. of Strain Analysis, 14(2), 49-57. https://doi.org/10.1243/03093247V142049
  9. Cawley, P. and Adams, R.D. (1979), "Vibration technique for nondestructive testing of fiber-composite structures", J. Composite Materials, 13, 161-175. https://doi.org/10.1177/002199837901300207
  10. Chang, J. and Gu, Y. (1986), "Response of structures to random excitations in time domain", Proceedings of the 4th IMAC, Los Angeles.
  11. Chen, J.C. and Garba, J.A. (1988), "Structural damage assessment using system identification technique", Proceedings of Structural Safety Evaluation Based On System Identification Approaches, Germany.
  12. Coppolino, R.N. and Rubin, S. (1980), "Detectable of structural failures in offshore platforms by ambient vibration monitoring", Proceedings of the 12th Annual Offshore Tech. Conference, Houston, May.
  13. DiPasquede, E. and Ju, J.W. (1990), "Relation between global damage indices and local stiffness degradation", J. Struct. Eng., ASCE, 116(5), 1440-1456. https://doi.org/10.1061/(ASCE)0733-9445(1990)116:5(1440)
  14. Fang, T. and Wang, Z.N. (1986), "Time domain modal analysis of random vibration", Proceedings of the 4th IMAC, Los Angeles.
  15. Feng, W.Q., Zhang, K.Y. and Wu, X.Y. (1989), "Research on the change of modal parameters of a beam resulted from a slot", Proceeding of the 7th Int. Modal Analysis Conference, Las Vegas.
  16. Gudmudson, P. (1982), "Eigenfrequency changes of structures due to crack, notches or other geometrical changes", J. of the Mech. and Physics of Solids, 30(5), 339-352. https://doi.org/10.1016/0022-5096(82)90004-7
  17. Jerry, S.E. and Yao, T.P. (1987), "Damage assessment using response measurements", J. Stru. Eng., ASCE, 113(4), 787-801. https://doi.org/10.1061/(ASCE)0733-9445(1987)113:4(787)
  18. Ju, F.D., Akgun, M.A., Paez, T.L. and Wang, T.E. (1982), "Model method in diagnosis of fracture damage in simple structures", Vol. editors Merchant, H.C. and Geers, T.L., Productive Applications of Mechanical Vibrations, ASME AMD 52, 113-125.
  19. Ju, F.D. (1987), "Model theory of fracture damage diagnosis in structures", Vol. editors Sih G.C., Nisitani, H. and Ishihara, T., Role of Fracture Mechanics in Modern Technology, Amsterdam: Elsevier Science Publishers.
  20. Kenley, R.M. and Dodds, C.J. (1980), "West sole we platform: detection of damage by structural response measurements", Proceedings of the 12th Annual Offshore Tech. Conference, Houston, May.
  21. Leger, P. and Dussault, S. (1992), "Seismic-energy dissipation in mdof structures", J. Stru. Eng., ASCE, 118(5),
  22. Lieven, N.A.J. and Ewins, D.J. (1988), "Spatial correlation of mode shapes, the coordinate modal assurance criterion (COMAC)", Proceedings of the 6th Int. Modal Analysis Conference.
  23. Loland, O. and Dodds, C.J. (1976), "Experiences in developing and operating integrity monitoring system in north sea", Proceeding of the 8th Annual Offshore Technology Conference, Dallas, May.
  24. Mataraja, R. (1980), "Structural integrity monitoring in real seas", Proceedings of the 12th Annual Offshore Tech. Conference, Houston, May.
  25. Pandey, A.K., Biswas, M. and Samman, M.M. (1991), "Damage detection from changes in curvature mode shapes", J. Sound and Vibration, 145(2), 321-332. https://doi.org/10.1016/0022-460X(91)90595-B
  26. Qian, G.L., Gu, S.N. and Jiang, J.S. (1990), "The dynamic behavior and crack detection of a beam with crack", J. Sound and Vibration, 138(2), 233-243. https://doi.org/10.1016/0022-460X(90)90540-G
  27. Rizos, P.F. and Aspragathos, N. (1990), "Identification of crack location and magnitude in cantilever beam from the vibration modes", J. Sound and Vibration, 138(3), 381-388. https://doi.org/10.1016/0022-460X(90)90593-O
  28. Samman, M.M., Biswas, M. and Pandey, A.K. (1991), "Employing pattern recognition for detecting cracks in a bridge model", Int. J. Analytical and Exp. Modal Analysis, 6(1).
  29. Sanders, D.R., Stubbs, N. and Kim, Y.I. (1989), "Global nondestructive damage detection in composite structures", Proc. 7th Int. Modal Annual Conference, 2, 1501-1507, Las Vegas, NV.
  30. Springer, W.T., Lawrence, K.L. and Lawley, T.J. (1982), "Damage assessment based on structural frequency response function", Proceedings of Joint Conference on Exp.l Mechanics, Hawaii.
  31. Stubbs, N. and Osegueda, R. (1990), "Global non-destructive damage evaluation in solids", Int. J. Analytical and Exp. Modal Analysis, 5(2), 67-80.
  32. Stubbs, N. and Osegueda, R. (1990), "Global damage detection in solids: experimental verification", Int. J. Analytical and Experimental Modal Analysis, 5(2), 81-97.
  33. Stubbs, N. and Osegueda, R. (1987), "Global nondestructive evaluation of offshore platforms using modal analysis", Proc. 6th Int. Offshore Mechanics And Arctic Engineering Symposium, II, ASME, New York, 517- 524.
  34. Tsai, T., Yang, J.C.S. and Chen, R.Z. (1985), "Detection of damage in structures by the cross random decrement method", Proceedings of the 3rd Int. Modal Analysis Conference, Orlando, FL., 2, 691-700.
  35. Tseng, S.S. and Saleeb, A.F. (1998), "Defect energy for global damage detection method", J. Chinese Institute of Civil and Hydraulic Engineering, 10(2), 389-396.
  36. Tseng, S.S., Huang, L.J. and Lin, M.C. (1996), "A numerical study of the dynamic responses of a damaged continuous bridge girder", Proceedings of the 1st International Conference on Computing and Information Technology for Architecture, Engineering and Construction, Singapore, 369-376.
  37. Vanhonacker, P. (1980), "Differential and difference sensitivities of natural frequencies and mode shapes of mechanical structures", AIAA J., 18(12), 1511-1514. https://doi.org/10.2514/3.7738
  38. Wolff, T. and Richardson, M. (1989), "Fault detection in structures from changes in their modal parameters", Proc. 7th Int. Modal Analysis Conference, 1, 87-94, Las Vegas, NV.
  39. Yang, J.C.S., Chen, J. and Dagalakis, N.G. (1984), "Damage detection in offshore structures by the random decrement technique", J. Energy Resources Technology, 106, 38-42. https://doi.org/10.1115/1.3231021
  40. Yao, G.C., Chang, K.C. and Lee, G.C. (1992), "Damage diagnosis of steel frames using vibrational signature analysis", ASCE J. Engineering Mechanics, 118(9).
  41. Yuen, M.M.F. (1985), "A numerical study of the eigenparameter of a damaged cantilever", J. Sound And Vibration, 103(3), 301-310. https://doi.org/10.1016/0022-460X(85)90423-7