Journal of the Architectural Institute of Korea Structure & Construction (대한건축학회논문집:구조계)

Architectural Institute of Korea (대한건축학회)
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Mode Decomposition and Output-only System Identification of Lateral-torsionally Coupled Structures Using Independent Component Analysis Method

독립성분분석(ICA)법을 이용한 병진-비틀림 연계된 구조물의 모드분리 및 응답기반 시스템식별

  • 강경수 (동명대학교 건축대학 건축공학과) ;
  • 김홍진 (경북대학교 건축토목공학부) ;
  • 황재승 (전남대학교 건축학부)
  • Received : 2011.10.29
  • Published : 2012.02.25
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Abstract

The response of a lateral-torsionally coupled structure subject to dynamic wind loads can include the response for the along wind direction as well as that of the across and torsional directions. This study aims to propose a procedure to separate the modal responses from the lateral-torsionally coupled structural responses by using the independent component analysis(ICA) method and to effectively estimate the dynamic properties from the separated modal responses. The wind loads for the dynamic analysis of structure are generated from Karman wind speed spectrum for the along wind direction and an empirical overturning moment spectrum for the across wind direction. The kurtosis is introduced as the performance index for the mode separation by ICA. For the verification of the proposed method, a numerical simulation is performed. In the simulation, it is found that the lateral-torsionally coupled modal response can be separated precisely by ICA technique and very closely located modes can be also separated. From the numerical results, it is also shown that the modal properties such as natural frequencies and damping ratios are estimated effectively using the Hilbert transform and curve fitting, respectively. The results in this study show that the proposed method can be very usefully applied to the output-only system identification.

Keywords

Acknowledgement

Supported by : 한국연구재단, 국토해양부

References

  1. 황재승, 이상현, 정란, 제어력 포화를 고려한 병진-비틀림 모드 연계 고층 구조물의 진동제어, 한국 풍공학회 논문집, 제 14권 제 3호, 2010. 12, pp. 127-134
  2. 대한 건축학회, KBC 2009. 기문당.
  3. 김남형, 심교성, 스펙트럼 해석, 과학기술, 2000.
  4. 하영철, 길용식, 김동우, "고층건축물의 풍직각방향 변동풍력 평가를 위한 경험식 제안", 대한건축학회논문집, 제22권, 제2호, pp. 83-90, 2006.
  5. 배진석, 황성권, 김동우, 하영철, "풍하중을 받는 정방형 건축물의 형상비 변화에 따른 풍방향 및 풍직각방향 응답 특성의 비교", 대한건축학회논문집, 제24권, 제10호, pp. 29-36, 2008.
  6. Feeny, B., On Proper Orthogonal Coordinates as Indicators of Modal Activity, Journal of Sound and Vibration, Vol. 25 5, 2002, pp.805-817,
  7. Han, S. and Feeny, B., Application of Proper Orthogonal Decomposition to Structural Vibration Analysis, Mechanical System and Signal Processing, Vol. 17, 2003, pp.989-1001 https://doi.org/10.1006/mssp.2002.1570
  8. 황재승, 김재형, 독립성분분석(ICA)법을 이용한 모드특성 추정에 관한연구, 대한건축학회논문집 구조계, v.27 n.5 (2011- 05)
  9. Lee. T.W., Independent Component Analysis : Theory and Applications, Kluwer Academic Publications, Boston, 1998.
  10. Hyvaerinen A., Karhunen J., and Oja E., Independent Component Analysis, John Wiley & Sons, Inc., New Yor k, 2001.
  11. Roberts S. and Everson.R., Independent Component An alysis : Principles and Practice, Cambridge Univ. 2001.
  12. Hyvaerinen A. and Oja E., Independent Component Anal ysis : Algorithm and Applications, Neural Networks, Vol. 13, No. 4-5, June. 2000, pp.411-430. https://doi.org/10.1016/S0893-6080(00)00026-5
  13. Bell A. J. and Sejnowski T. J. , Edges are Independent Components of Natural Scenes, Advances in Neural Infor mation Processing System 9, MIT Press, 1996.
  14. Michalel Feldman, Hilbert Transform Applications in Mec hanical Vibration, John Wiley & Sons, 2011.