Forced-Vibration-Based Identification of Stiffness Reduction Distribution in Thin Plates with an Arbitrary Damage Shape

임의의 손상형태를 갖는 박판의 강제진동 기반 강성저하 분포 규명

  • Received : 2007.04.09
  • Published : 2008.01.30

Abstract

This study deals with a method to identify structural damage using the combined finite element method (FEM) and the advanced damage search technique. The novelty of this study is the application of plates with arbitrary damage shapes and their response due to the anomalies in a structure subjected to impact loading. The technique described in this paper may allow us not only to detect the stiffness distribution of the damaged areas but also to find locations and the extent of damage. To demonstrate the feasibility of the method, the algorithm is applied to a steel thin plate structures with an arbitrary damage shape. The results demonstrate the excellencies of the method from the standpoints of computation efficiency as well as its ability to investigate the arbitrary stiffness reductions.

본 연구에서는 유한 요소법과 고도화된 손상 탐지 기법을 결합하여 구조적 손상을 규명하는 방법을 다룬다. 본 연구의 특징은 충격하중을 받는 구조물의 동적 거동 특성을 분석하여 이를 임의의 손상 형태를 갖는 판에 적용한다는 것이다. 이러한 방법은 손상된 부위의 강성 분포를 추정할 뿐만 아니라 손상의 정도도 파악할 수 있는 장점을 갖으며 분할 요소수의 제한을 두지 않는다. 제안된 방법을 검증하기 위하여 본 알고리즘은 임의의 손상을 갖는 박판에 대하여 적용하기 한다. 수치해석 결과로부터 제안된 알고리즘은 수치적 효율성과 함께 임의의 손상 분포를 규명할 수 있음을 보여준다.

Keywords

References

  1. 이상열, "마이크로 유전알고리즘을 이용한 자유진동 박판구조물의 비파괴 손상규명", 한국강구조학회논문집, Vol. 17, 2권, 2005, pp. 173-181
  2. 이상열, 송유섭, 박대효, "임의의 손상형태를 갖는 박판구조물의 동적 데이터로부터 강성저하 분포 추정", 한국구조물진단학회 학술발표대회, 2006
  3. Abu-Lebedh, G. & Benekothal, R. F, "Convergence variability and population sizing in micro-genetic algorithms," Comp.-Aided Civil and Infra. Eng., 14, 1999, pp. 321-334 https://doi.org/10.1111/0885-9507.00151
  4. Bathe.K.J, "The finite element procedures in engineering analysis}, Prentice Hall, Englewood Cliffs," NJ, 1996, pp. 768-785
  5. Carroll. D.L, "Chemical laser modeling with genetic algorithms," AIAA J., 34(2), 1996, pp. 338-346 https://doi.org/10.2514/3.13069
  6. Doebling. S.W & Farrar. C.R & Prime.M.B, "A summary review of vibration-based damage identification methods," Shock Vib. Digest, 30, 1998, pp. 91-105 https://doi.org/10.1177/058310249803000201
  7. Friswell, M.I & Penny. J.E.T & Garvey. S.D, "A combined genetic and eigensensitivity algorithm for the location of damage in structures,"' Comput. Sturct., 69, 1998, pp. 547-556 https://doi.org/10.1016/S0045-7949(98)00125-4
  8. Goldberg.D.E, "Sizing populations for serial and parallel genetic algorithms," Proc., 3rd Conf. Genetic Algori., Fairfax, VA, 5, 1989, pp. 29-37
  9. Gudmudson. P., "The dynamic behaviors of slender structures with cross section Cracks," J. Mech. and Phys. of Solids, 31(4), 1982, pp. 329-345
  10. Krishnakumar. K, "Microgenetic algorithms for stationary and nonstationary function optimization", Proc. SPIE, 1196, pp. 289-296
  11. Lee S. Y. and Wooh S. C., "Detection of Stiffness Reductions in Laminated Composite Plates From Their Dynamic Response Using the Microgenetic Algorithms," Comp. Mech., 36, 2005, pp. 320-330 https://doi.org/10.1007/s00466-005-0669-2
  12. Lee S. Y. and Wooh S. C., "Waveform-Based Identification of Structural Damage Using the Combined Finite Element Method and Microgenetic Algorithms" J. Struct. Eng. ASCE, 31(9), 2005, pp. 1464-1472
  13. Lee S. Y., G. Rus and Park T., "QNDE of Thin Plate Structures Using the Complete Frequency Information from Impact Testing", J. of Structural Engineering and Mechanics, 2007, submitted
  14. Mares C. & Surace C, "An application of genetic algorithms to identify damage in elastic structures," J. Sound Vib., 195, 1996, pp. 195-215 https://doi.org/10.1006/jsvi.1996.0416
  15. Morassi. A & Rollo. M, "Identification of two cracks in a simply supported beam from minimal frequency measurements", Journal of vibration and control, 7(5), 2001, pp. 729-740 https://doi.org/10.1177/107754630100700507
  16. Ruotolo.R & Shifrin.E.I., "Natural frequencies of a beam with arbitrary number of cracks," J. Sound Vib., 223(3), 1999, pp. 409-423
  17. Suh.M.W & Shim.M.B & Kim.M.Y, "Crack identification using hybrid neuro-genetic technique," J. Sound Vib., 238(4), 2000, pp. 617-635 https://doi.org/10.1006/jsvi.2000.3089
  18. Yang. J.C.S & Tsai.T & Pavlin.V & Chen.J & Tsai.W.H, "Structural damage detection by the system identification technique," Shock Vib., 55, 1985, pp. 57-68