A Frequency Response Function-Based Damage Identification Method for Cylindrical Shell Structures

  • Lee, U-Sik (Department of Mechanical Engineering, Inha University) ;
  • Jeong, Won-Hee (Department of Mechanical Engineering, Inha University) ;
  • Cho, Joo-Yong (Department of Mechanical Engineering, Inha University)
  • Published : 2004.12.01

Abstract

In this paper, a structural damage identification method (SDIM) is developed for cylindrical shells and the numerically simulated damage identification tests are conducted to study the feasibility of the proposed SDIM. The SDIM is derived from the frequency response function solved from the structural dynamic equations of damaged cylindrical shells. A damage distribution function is used to represent the distribution and magnitudes of the local damages within a cylindrical shell. In contrast with most existing modal parameters-based SDIMs which require the modal parameters measured in both intact and damaged states, the present SDIM requires only the FRF-data measured in the damaged state. By virtue of utilizing FRF-data, one is able to make the inverse problem of damage identification well-posed by choosing as many sets of excitation frequency and FRF measurement point as needed to obtain a sufficient number of equations.

Keywords

References

  1. Adams, R. D., Cawley, P., Pye, C. J. and Stone, B. J., 1978, 'A Vibration Technique for Non-Destructively Assessing the Integrity of Structures,' Journal of Mechanical Engineering Science, Vol. 20, No. 2, pp. 93-100 https://doi.org/10.1243/JMES_JOUR_1978_020_016_02
  2. Banks, H. T., Inman, D. J., Leo, D. J. and Wang, Y., 1996, 'An Experimentally Validated Damage Detection Theory in Smart Structures,' Journal of Sound and Vibration, Vol. 191, No. 5, pp. 859-880 https://doi.org/10.1006/jsvi.1996.0160
  3. Bicanic, N. and Chen, H. P., 1997, 'Damage Identification in Framed Structures Using Natural Frequencies,' International Journal of Numerical Methods in Engineering, Vol. 40, pp. 4451-4468 https://doi.org/10.1002/(SICI)1097-0207(19971215)40:23<4451::AID-NME269>3.0.CO;2-L
  4. Cho, K., Shin, J. and Lee, U., 2002, 'Experimental Verification of the Structural Damage Identification Method Developed for Beam Structures,' Transactions of KSME (A), Vol. 26, No. 12, pp. 2574-2580 https://doi.org/10.3795/KSME-A.2002.26.12.2574
  5. Choudhury, A. R. and He, J., 1996, 'Structural Damage Location Using Expanded Measured Frequency Response Function Data,' Proc. IMAC XIV, pp. 934-942
  6. Hassiotis, S., 2000, 'Identification of Damage Using Natural Frequencies and Markov Parameters,' Computers & Structures, Vol. 74, pp. 365-373 https://doi.org/10.1016/S0045-7949(99)00034-6
  7. Ip, K. H. and Tse, P. C., 2002, 'Locating Damage in Circular Cylindrical Composite Shells Based on Frequency Sensitivities and Mode Shapes,' European Journal of Mechanics A/Solids, Vol. 21, pp. 615-628 https://doi.org/10.1016/S0997-7538(02)01228-7
  8. Lee, U. and Shin, J., 2002, 'A Frequency Response Function-Based Structural Damage Identification Method,' Computers & Structures, Vol. 80, No. 2, pp. 117-132 https://doi.org/10.1016/S0045-7949(01)00170-5
  9. Markus, S., 1988, The Mechanics of Vibrations of Cylindrical Shells, Elsevier Science Publishing Company, New York
  10. Pandey, A. K., Biswas, M. and Samman, M. M., 1991, 'Damage Detection from Changes in Curvature Mode Shapes,' Journal of Sound and Vibration, Vol. 145, No. 2, pp. 321-332 https://doi.org/10.1016/0022-460X(91)90595-B
  11. Royston, T. J., Spohnholtz, T. and Ellingson, W. A., 2000, 'Use of Non-Degeneracy in Nominally Axisymmetric Structures for Fault Detection with Application to Cylindrical Geometries,' Journal of Sound and Vibration, Vol. 230, No. 4, pp. 791-808 https://doi.org/10.1006/jsvi.1999.2653
  12. Roytman, A. B. and Titova, O. A., 2002, 'An Analytical Approach to Determining the Dynamic Characteristics of a Cylindrical Shell with Closing Cracks,' Journal of Sound and Vibration, Vol. 254, No. 2, pp. 379-386 https://doi.org/10.1006/jsvi.2002.5005
  13. Soedel, W., 1993, Vibrations of Shells and Plates, Marcel Decker, Inc., New York
  14. Srinivasan, M. G. and Kot, C. A., 1998, 'Damage Index Algorithm for a Circular Cylindrical Shells,' Journal of Sound and Vibration, Vol. 215, No. 3, pp. 587-591 https://doi.org/10.1006/jsvi.1998.1627
  15. Thyagarajan, S. K., Schulz, M. J. and Pai, P. F., 1998, 'Detecting Structural Damage Using Frequency Response Functions,' Journal of Sound and Vibration, Vol. 210, No. 1, pp. 162-170 https://doi.org/10.1006/jsvi.1997.1308
  16. Wang, Z., Lin, R. M. and Lim, M. K., 1997, 'Structural Damage Detection Using Measured FRF Data,' Computer Methods in Applied Mechanics and Engineering, Vol. 147, pp. 187-197 https://doi.org/10.1016/S0045-7825(97)00013-3