DOI QR코드

DOI QR Code

Inverse Perturbation Method and Sensor Location for Structural Damage Detection

구조물의 손상탐지를 위한 역섭동법과 센서위치의 선정

  • Published : 2003.04.01

Abstract

In the present work, a nonlinear inverse perturbation method which has been used in the structural optimization, is adopted so as to identify the structural damages. Unlike the structural optimization, a larger number of constrained equations than the number of unknown parameters are often required detect structural damage. Therefore, nonlinear least squares method is utilized to solve the problem. Because only a limited number of sensors are available I real situation of damage detection, the determination of sensor location becomes one of the most important issues. Hence, this work concentrates on the issue of sensor placement in the framework of nonlinear inverse perturbation method, and the performances of various methodologies concerning to sensor placement are compared with each other. The comparisons show tat the successive elimination method gets good performance for sensor placement. From the several numerical studies, it is confirmed that the inverse perturbation method, combined with the successive elimination method, is very promising in structural damage detection.

본 연구는 최적설계에 사용되는 역섭동법을 구조물의 손상탐지에 적용하였다. 이 방법은 손상의 위치를 정확하게 탐지하기 위하여 미지수보다 많은 수의 구속조건이 필요하므로, 최적설계와는 달리 비선형 회소자승법을 수치기법에 사용한다. 한편 손상탐지의 경우, 모든 자유도의 응답이 측정가능한 것은 아니며 제한된 수의 센서에서 부분적인 진동모드만 측정할 수 있다. 이처럼 부분적인 정보를 사용하여, 손상진단을 성공적으로 수행하기 위해서는 사용될 센서의 수와 위치를 결정하는 연구가 매우 중요한다. 본 논문에서는 센서의 개수가 결정되었을 때, 손상탐지에 적합한 센서 위치의 선정방법에 관하여 연구하였다. 이러한 연구의 결과로 순차적 소거법이 역섭동법을 이용한 손상탐지에 가장 적합한 센서위치의 선정방법임을 수치 예에서 확인하였다.

Keywords

References

  1. Baruch, M. and Itzhack, I. Y. B., "Optical Weighted Orthogonalization of Measured Modes," AIAA Journal, 1978, pp.346-351.
  2. Chen, J. C. and Garba, J. A., "On-Orbit Damage Assessment for Large Space Structures," AIAA Journal, 1988, pp.1119-1126.
  3. Smith and Beattie, C. A., "Model Correlation and Damage Location for Large Space Truss Structures: Secant Method Development and Evaluation," NASA Report, 1991, NASA-CR-188102.
  4. Zimmerman, D. C. and Kaouk, M., "Structural Damage Detection Using a Minimum Rank Update Theory," J. of Vibration and Acoustics Transactions of the ASME, Vol. 116, 1994, pp.222-230. https://doi.org/10.1115/1.2930416
  5. Kim, K. O. W. J Anderson, R. E. Sandstrom, "Nonlinear inverse Perturbation Method in Dynamic Analysis," AIAA Journal, Vol. 21, No. 9, 1983, pp.1310-1316. https://doi.org/10.2514/3.8245
  6. 최영재, "구조동역학적 역해석 문제에서 시스템 축소 및 주자유도 선정", 박사학위논문, 인하대학교, 2001.
  7. Guyan, R. J., "Reduction of Stiffness and Mass Matrices," AIAA Journal, Vol. 3, No. 2, 1965, p.380. https://doi.org/10.2514/3.2874
  8. Shah, V. N. and Raymund, M., "Analytical Selection of Masters for the Reduced Eigenvalue problem," International J. for Numerical Method in Engineering, Vol. 18, No. 1, 1982, pp.89-98. https://doi.org/10.1002/nme.1620180108
  9. Penny, J. E. T., Friswell, M. I. and Garvey, S. D., "Automatic Choice of Measurement Locations for Dynamic Testing," AIAA Journal, Vol. 32, No. 2, 1994, pp.407-414. https://doi.org/10.2514/3.11998
  10. Papadopoulos, M. and Garcia, E., "Sensor Placement Methodologies for Dynamic Testing," AIAA Journal, Vol. 36, No. 2, 1998, pp.256-263. https://doi.org/10.2514/2.7509
  11. Kidder, R. L., "Reduction of Structural Frequency Equations," AIAA Journal, Vol. 11, June 1973, p.892. https://doi.org/10.2514/3.6852
  12. Flax, A. H.. "Comment on 'Ruduction of Structural Frequency Equations'," AIAA Journal, Vol. 13, May 1975, pp.701-702. https://doi.org/10.2514/3.49797
  13. Kidder, R. L., "Reply by Author to A. H. Flax," AIAA Journal, Vol. 13, May 1975, p.702. https://doi.org/10.2514/3.49798
  14. Kim, K. O., Yoo, H. S. and Choi, Y. J., "Optimal Sensor Placement for dynamic testing of Large Structures," 42nd AIAA SDM Conference, Seattle, April, 2001, AIAA01-1232.
  15. Kim, K. O. and Choi, Y. J., "Energy Method for Selection fo Degrees of Freedom in condensations," AIAA Journal, Vol. 38, No. 7, 2000, pp.1253-1259. https://doi.org/10.2514/2.1095
  16. Kammer, D. C., "Sensor Placement for On-Orbit Modal Identification and Correlation of Large Space Structures," Journal of Guidance, Control, and Dynamic, Vol. 14, No. 2, 1991, pp.251-259. https://doi.org/10.2514/3.20635