DOI QR코드

DOI QR Code

Damage Detection of Truss Structure based on the Predicted Change of Parameter Matrices

파라미터행렬의 변화량 추정에 근거한 트러스 구조물의 손상탐지

  • Received : 2017.08.08
  • Accepted : 2017.11.18
  • Published : 2018.01.30

Abstract

This work provides the analytical methods to represent the updated form of stiffness or flexibility matrices using the measurements of the first few natural frequencies and the corresponding mode shapes. This study derives the mathematical forms on the variance of stiffness or flexibility matrices to minimize the performance index in the satisfaction of the eigen-function including the residual force depending on the measured data. The proposed methods can be utilized in detecting damage and updating the parameter matrices deviated from the analytical parameter matrices. The validity of the proposed methods is investigated in a numerical experiment of truss structure and the numerical results of stiffness-based and flexibility-based methods are compared. The sensitivity to the external noise is also examined for applying to the practical work.

Keywords

Acknowledgement

Supported by : 한국연구재단, 강원대학교

References

  1. Berman, A., & Nagy, E. J. (1983). Improvement of a large analytical model using test data, AIAA Journal, 21, 1168-1173. https://doi.org/10.2514/3.60140
  2. Caeser, B., & Pete, J. (1987). Direct update of dynamic mathematical models from modal test, AIAA Journal, 25, 1494-1499. https://doi.org/10.2514/3.9810
  3. Di, W., & Law, S. S. (2007). Eigen-parameter decomposition of element matrices for structural damage detection, Engineering Structures, 29, 519-528. https://doi.org/10.1016/j.engstruct.2006.05.019
  4. Li, H., Lu, Z., & Liu, J. (2016). Structural damage identification based on residual force vector and response sensitivity analysis, Journal of Vibration and Control, 22(11), 2759-2770. https://doi.org/10.1177/1077546314549822
  5. Liu, J. K., & Yang, Q. W. (2006). A new structural damage identification method, Journal of Sound and Vibration, 297, 694-703. https://doi.org/10.1016/j.jsv.2006.04.027
  6. Nguyen, K. D., Chan, T.HT., & Thambiratnam, D.P. (2016). Structural damage identification based on change in geometric modal strain energy eigenvalue ratio, Smart Materials and Structures, 25, 075032. https://doi.org/10.1088/0964-1726/25/7/075032
  7. Shadan, F., Khoshnoudian F., & Esfandiari, A. (2016). A frequency response-based structural damage identification using model updating method, Structural Control and Health Monitoring, 23, 286-302. https://doi.org/10.1002/stc.1768
  8. Yang, Q. W. (2010). A new damage identification metho d based on structural flexibility disassembly, Journal of V ibration and Control, 17(7), 1000-1008.
  9. Yang, Q. W., & Liu, J. K. (2007). Structural damage identification based on residual force vector, Journal of Sound and Vibration, 305, 298-307. https://doi.org/10.1016/j.jsv.2007.03.033
  10. Yang, Q. W., & Sun, B. X. (2011). Structural damage identification based on best achievable flexibility change, Applied Mathematical Modelling, 35, 5217-5224. https://doi.org/10.1016/j.apm.2011.04.010