Structural Engineering and Mechanics

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Identification of damage using natural frequencies and system moments

  • Hassiotis, S. (Department of Civil and Environmental Engineering, University of South Florida)
  • Published : 1999.09.25
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Abstract

A method is presented to find the location and magnitude of damage in a structure using data from dynamic tests. The test data include a combination of natural frequency measurements, taken before and after the occurrence of damage, and response measurements taken after damage. An algorithm is developed to identify localized increases in the flexibility of the structural members. Increases in flexibility are attributed to damage. The algorithm uses the sensitivity of the flexibility matrix to changes in the natural frequencies of the structure to identify the damage. A set of under determined equations is solved using an objective function which is derived from measurements of the system moments. Damage ranging from 10 to 60% increase in the flexibility of a member was successfully identified in a 50 d.o.f. structure, using a small number of natural frequency and velocity measurements.

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References

  1. Baruch, M. (1978), "Optimization procedure to correct stiffness and flexibility matrices using vibration tests", AIAA Journal, 16, 1208-1210. https://doi.org/10.2514/3.61032
  2. Beck, J.L. and Katafygiotis, L.S. (1992), "Probabilistic system identification and health monitoring of structures", Proceedings from the Tenth World Conference on Earthquake Engineering, Spain, 7, 3721-3732.
  3. Cawley, P. and Adams, R.D. (1979), "The location of defects in structures from measurements of natural frequencies" , Journal of Strain Analysis, 14, 49-57. https://doi.org/10.1243/03093247V142049
  4. Chen, J.C. and Garba, J.A. (1980), "Analytical model improvement using modal test results", AIAA Journal, 18, 684-690. https://doi.org/10.2514/3.50805
  5. Collins, J.D., Hart, G.C., Hasselman, T.K. and Kennedy, B. (1974), "Statistical identification of structures", AIAA Journal, 12, 185-190. https://doi.org/10.2514/3.49190
  6. Hassiotis, S. and Jeong, G.D. (1993), "Assessment of structural damage from natural frequency measurements" , Computers and Structures, 49(4), 679-691. https://doi.org/10.1016/0045-7949(93)90071-K
  7. Hassiotis, S. and Jeong, G.D. (1995), "Identification of stiffness reductions using natural frequencies" , J. of Engineering Mechanics, 121(10), 1106-1113. https://doi.org/10.1061/(ASCE)0733-9399(1995)121:10(1106)
  8. Hassiotis, S. and Grigoriadis K.M. (1996), "Identification of structural damage" , Proceedings from the 1996 ASCE Structures Congress, Chicago, IL, 15-18 April.
  9. Kabe, A.M. (1985), "Stiffness matrix adjustment using mode data", AIAA Journal, 23, 1431-1436. https://doi.org/10.2514/3.9103
  10. Kaouk, M. and Zimmerman, D.C. (1994), "Structural damage assessment using a generalized minimum rank perturbation theory" , AIAA Journal, 32(4), 836-842. https://doi.org/10.2514/3.12061
  11. Koh, C.G., See, L.M., and Balendra T. (1992), "Damage detection of buildings: Numerical and experimental studies", Journal of Structural Engineering, ASCE, 121(8), 1155-1160.
  12. Kuo, C.P. and Wada, B.K. (1987), "Nonlinear sensitivity coefficients and corrections in system identification", AlAA Journal, 25, 1463-1468. https://doi.org/10.2514/3.9805
  13. Lim, T.W. and Kashangaki, T.A.L. (1994), "Structural damage detection of space truss structures using best achievable eigenvectors", AlAA Journal, 32(5), 1049-1057. https://doi.org/10.2514/3.12093
  14. Lindner, D.K., Twitty, G.B. and Osterman, S. (1993), "Damage detection for composite materials using dynamic response data", Adaptive Structures and Material Systems, ASME, 35, 441-448.
  15. Lin, C.C., Soong, T.T. and Natke, H.G. (1990), "Real-time system identification of degrading structures", Journal of Engineering Mechanics, ASCE, 116, 2258-2274. https://doi.org/10.1061/(ASCE)0733-9399(1990)116:10(2258)
  16. Liu, P.L. (1995), "Identification and damage detection of trusses using modal data", Journal of Structural Engineering, ASCE, 121(4), 599-606. https://doi.org/10.1061/(ASCE)0733-9445(1995)121:4(599)
  17. Pabst, U. and Hagedorn, P. (1993), "On the identification of localized losses of stiffness in structures" , Structural Dynamics of Large Scale and Complex Systems, ASME, 59, 99-103.
  18. Sheinman I. (1993), "Damage detection in framed structures", Technical Note, AIAA Journal, 32(5), 1103-1105.
  19. Smith, S.W. and Beattie, C.A. (1991), "Secant-method adjustment for structural models", AlAA Journal, 29(1), 119-126. https://doi.org/10.2514/3.10553
  20. Stubbs, N., Broome, T.H. and Osegueda, R. (1990), "Nondestructive construction error detection in large space structures", AlAA Journal, 28, 146-152. https://doi.org/10.2514/3.10365

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