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

  • 제28권8호
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  • Pages.79-86
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  • 2012
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  • 1226-9107(pISSN)
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  • 2384-1788(eISSN)
대한건축학회 (Architectural Institute of Korea)
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독립성분분석(ICA)법을 이용한 모드응답분리의 실험적 검증

Experimental Verification of Mode Decomposition Using Independent Component Analysis Method

  • 투고 : 2012.05.23
  • 발행 : 2012.08.25
⟨ 이전 논문 다음 논문 ⟩

초록

Independent component analysis is one of the linear transformation techniques to separate blind sources from the output signals of system. Recently, the method has been analytically applied for the responses of building structures to obtain the mode shapes and modal responses. The aim of this study is to experimentally verify the feasibility of the blind source separation by ICA method for three storey shear model structure and propose a method to effectively estimate the dynamic properties from the separated modal responses. From the results of experimental verification procedure, it is found that the mode shapes separated by ICA are similar to the mode shapes by the conventional method such as analytic eigen problem or power spectrum method, furthermore, ICA can efficiently and precisely estimate the mode shapes based on the mathematic robustness. In addition, by the proposed method to estimate the dynamic properties in this study, it is shown that the modal properties : natural frequencies and damping ratios of model structure are estimated effectively from the probability distribution function of instantaneous natural frequency determined by Hilbert transform and the differential equation of the output covariance, respectively. Finally, the results in this study also show that the proposed method can be very usefully applied to the output-only system identification.

키워드

과제정보

연구 과제 주관 기관 : 국토해양부, 한국연구재단

참고문헌

  1. 유은종, 김승남, 이현국, 최항, 유한요소모델개선기법을 이용한 골조구조물의 손상탐지, 한국 전산구조공학회 논문집, 제 22권, 제5호(2009.10)
  2. Brincker, R., Zhang, L., and Andersen, P. (2002), ModalId entification of Output-Only Systems Using Frequency Do main Decomposition, Proc. of IMAC18, San antonio, Texa s, USA, pp. 625-630.
  3. Peeters, B., and De Reoeck, G. (1999), Reference-based Stochastic Subspace Identification for Output-Only Modal A nalysis., Mech. Syst. Signal Process., Vol. 13, No. 6, pp. 855-878. https://doi.org/10.1006/mssp.1999.1249
  4. Feeny, B., On Proper Orthogonal Coordinates as Indicators of Modal Activity, Journal of Sound and Vibration, Vol. 255, 2002, pp.805-817, https://doi.org/10.1006/jsvi.2001.4120
  5. 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
  6. 황재승, 김재형, 독립성분분석(ICA)법을 이용한 모드특성 추정에 관한연구, 대한건축학회논문집 구조계, v.27 n.5, 2011.5
  7. 강경수, 김홍진, 황재승, 독립성분분석법을 이용한 병진-비틀림 연계된 구조물의 모드분리 및 응답기반 시스템식별, 대한 건축학회논문집 구조계, v. 28, n.02, 2012.2
  8. Lee. T.W., Independent Component Analysis : Theory and Applications, Kluwer Academic Publications, Boston, 1998.
  9. Hyvaerinen A., Karhunen J., and Oja E., Independent C omponent Analysis, John Wiley & Sons, Inc., New York, 2001.
  10. Hyvaerinen A. and Oja E., Independent Component Analysis : 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
  11. Bell A. J. and Sejnowski T. J. , Edges are Independent Components of Natural Scenes, Advances in Neural Information Processing System 9, MIT Press, 1996.
  12. Roberts S. and Everson.R., Independent Component Analysis : Principles and Practice, Cambridge Univ. 2001.
  13. Gopi. E.S., Algorithm Collections for Digital Signal Processing Applications using MATLAB, Springer, 2007.
  14. Michalel Feldman, Hilbert Transform Applications in Mechanical Vibration, John Wiley & Sons, 2011.