DOI QR코드

DOI QR Code

Numerical Model Updating Based on Univariate Search Method for High Speed Railway Bridges

단변분 탐색법에 기초한 고속철도교량의 수치해석 모델 개선

  • 박동욱 (부산대학교 지진방재연구센터) ;
  • 김남식 (부산대학교 사회환경시스템공학부) ;
  • 김성일 (한국철도기술연구원 첨단인프라연구단 TFT)
  • Received : 2013.04.16
  • Accepted : 2013.10.08
  • Published : 2014.02.01

Abstract

Numerical model became one of most important tools for identifying the state of an existing structure in accordance with development of numerical analysis techniques. A numerical model should be updated based on the measured responses from the existing structure to accurately use the model for identifying the state of the bridge and executing numerical experiments. In this study, a new model updating method based on repetition method without a differential function is introduced and applicability for high speed railway bridge is verified with dynamic stability analysis. A fine measurement based on measurement points roaming method was executed with an wireless measurement system for precise dynamic characteristic analysis. The natural frequencies and mode shapes were estimated by correlation analysis and a mode decomposition technique. An initial numerical model was constructed based on design drawings and the model have been updated in accordance with the introduced model updating method. The results from numerical experiment and field test have been compared for verifying the applicability of the model updating method. And the dynamic stability analysis has been executed to verify the usability of the updated numerical model and the model updating method. It seems that the model updating method can be used for various bridges after evaluation of applicability for other type bridges in further studies.

유한요소 해석 기술의 발달에 따라 수치해석은 실구조물의 상태파악 및 유지관리에 중요한 요소가 되었다. 이러한 유한요소 해석모델을 이용하여 실 구조물의 상태 파악하고 수치 실험을 행하기 위해서는 계측 응답을 바탕으로 수치해석 모델의 개선이 반드시 이루어져야 한다. 본 연구에서는 새롭게 개발된 단변분 탐색법을 기반으로 반복적 개선을 수행하면서도 미분함수를 작성하지 않아도 되는 새로운 수치해석모델 개선기법을 소개하고, 동적안정성 분석을 통하여 고속철도교량에서의 적용성을 검토하였다. 정확한 동특성 분석을 위하여 무선계측시스템과 계측점 이동법을 이용한 세밀한 계측을 실시하고, 상관성 검토 및 모드분해기법을 활용하여 고유진동수와 모드형상을 추정하였다. 설계자료를 바탕으로 구축된 수치해석 초기 모델을 추정된 동특성과 개발된 수치해석 모델 개선 기법을 이용하여 모델 개선을 수행하였으며, 개선된 모델을 이용한 수치 실험 결과와 실 교량에서의 응답과 비교하여 수치해석 모델 개선 기법의 적용성을 검토하였다. 또한, 개선된 모델의 유용성을 검토하기 위하여 고속철도교량의 동적안정성 분석을 실시하여 성공적으로 수행할 수 있었다. 개발된 수치해석 모델 개선기법의 적용성을 추가적으로 검증된다면, 다양한 구조물 및 교량에서 개발된 수치해석 모델 개선기법을 사용할 수 있을 것이다.

Keywords

References

  1. Baruch, M. and Itzhac, Y. (1978). "Optimization weighted orthogonalization of measured modes." AIAA Journal, Vol. 16, No. 14, pp. 346-351. https://doi.org/10.2514/3.60896
  2. Berkooz, G., Holms, P. and Lumley J. (1993). "The proper orthogonal decomposition in the analysis of turbulent flows." Annual Review of Fluid Mechanics, Vol. 25, pp. 539-575. https://doi.org/10.1146/annurev.fl.25.010193.002543
  3. Berman, A. (1979). "Mass matrix correction using an incomplete set of measured models." AIAA Journal, Vol. 17, No. 10, pp. 1147-1148. https://doi.org/10.2514/3.61290
  4. Byun, D. G., Shin, H. M. and Moon, J. G. (2004). Reinforced concrete 7th Edition, Dong-Myung Sa (in Korean).
  5. Caesar, B. and Peter, J. (1987). "Direct updating of dynamic mathematical models from modal testing data." AIAA Journal, Vol. 25, No. II, pp. 1494-1499. https://doi.org/10.2514/3.9810
  6. Chen, J. C. and Graba, J. A. (1980). "Analytical model improvement using modal testing results." AIAA Journal, Vol. 25, No. 11, pp. 1494-1499.
  7. Clough, W. R. and Penzien, J. (1993). Dynamics of structures, McGRAW-HILL, New York, N.Y.
  8. European Rail Research Institute. (2000). Rail bridges for speeds > 200km/h - Final report, European Rail Research Institute, Utrecht, Netherlands.
  9. Ho, D. D., Hong, D. S. and Kim, J. T. (2010). "Nondestructive evaluation of railway bridge by system identification using field vibration measurement." Journal of the Korea Society for Nondestructive Testing, Vol. 30, No. 6, pp. 527-538.
  10. Hoff, C. and Natke, H. G. (1989). "Correction of a finite element model by input-output measurements with application to a radar tower." The International Journal of Analytical and Experimental Modal Analysis, Vol. 4, No. 1, pp. 1-7.
  11. Kabe, A. M. (1985). "Stiffness matrix adjustment using mode data." AIAA Journal, Vol. 23, No. 9, pp. 1431-1436. https://doi.org/10.2514/3.9103
  12. Kim, S. I., Lee, J. H., Lee, P. G. and Kim, C. E. (2010) "Comparison of measured natural frequencies of a railway bridge specimen between different excitation methods." Journal of The Korean Society of Civil Engineers, Vol. 30, No. 6A, pp. 535-542 (in Korean).
  13. Korea Rail Network Authority. (2007). Design guideline for Ho-nam high speed railway, Korea Rail Network Authority, Daejeon, Korea (in Korean).
  14. Park, D. U., Kim, N. S. and Kim, S. I. (2009). "Damping estimation of railway bridges using extended kalman filter." Trans. of the Korean Society for Noise and Vibration Engineering, Vol. 19, No. 3, pp. 294-300 (in Korean). https://doi.org/10.5050/KSNVN.2009.19.3.294
  15. Rao, S. S. (1996). Engineering optimization - Theory and practice, Wiley: Interscience, New York, N.Y.
  16. Tlusty, J. and Ismail, F. (1980) "Dynamic structural identification tasks and methods." Annals of the CIRP, Vol. 29, pp. 251-255. https://doi.org/10.1016/S0007-8506(07)61331-6
  17. Wiberg, J. (2009). Railway bridge response to passing trains Measurements and FE model updating, Ph.D. Dissertation, Kungl Tekniska hogskolan, Lindstedtsvagen, Stockholm, Sweden.