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Development of a Nonlinear SI Scheme using Measured Acceleration Increment

측정 가속도 증분을 사용한 비선형 SI 기법의 개발

  • 신수봉 (인하대학교 토목공학과) ;
  • 오성호 ((주)대본엔지니어링 구조팀) ;
  • 최광규 (동아대학교 토목공학과)
  • Published : 2004.12.01

Abstract

A nonlinear time-domain system identification algorithm using measured acceleration data is developed for structural damage assessment. To take account of nonlinear behavior of structural systems, an output error between measured and computed acceleration increments has been defined and a constrained nonlinear optimization problem is solved for optimal structural parameters. The algorithm estimates time-varying properties of stiffness and damping parameters. Nonlinear response of restoring force of a structural system is recovered by using the estimated time-varying structural properties and computed displacement by Newmark-$\beta$ method. In the recovery, no pre-defined model for inelastic behavior has been assumed. In developing the algorithm, noise and incomplete measurement in space and state have been considered. To examine the developed algorithm, numerical simulation and laboratory experimental studies on a three-story shear building have been carried out.

Keywords

nonlinear time-domain SI;output error;acceleration increment;restoring force;noise;incomplete measurement

References

  1. Li, B. 'Reconstruction of linear and nonlinear continuous time system models from input/output data using the Kernel invariance algorithm,' J. of Sound and Vibration, Vol.233, 2000, pp. 877-896 https://doi.org/10.1006/jsvi.1999.2843
  2. Hjelmstad, K.D., Wood, S.L., and Clark,S.J., 'Parameter estimation in complex linear structures,' Report No. SRS 557, UILU-ENG-90-2105, Univer-sity of Illinois at Urbana-Champaign, Illinois, 1990
  3. Lin, C.C., Soong, T.T., and Natke, H.G., 'Real time ssstem identification of degrading stru-ctures,' Journal of Engineering Mechanics, ASCE, Vol.116, No.10, 1989, pp. 2258-2274 https://doi.org/10.1061/(ASCE)0733-9399(1990)116:10(2258)
  4. Lee, H.S., Kim, Y.H., Park, C.J., and Park, H.W., 'A new spatial regularization scheme for the identification of the geometric shape of an inclusion in a finite body,' International Journal for Numerical Methods in Engineering, Vol.46, No.7, 1999, pp. 973-992 https://doi.org/10.1002/(SICI)1097-0207(19991110)46:7<973::AID-NME730>3.0.CO;2-Q
  5. Loh, C.H. and Lin, C.Y., 'Time domain iden-tification of frames under earthquake loadings,' Journal of Engineering Mechanics, ASCE, Vol.126, No.7, 2000, pp. 693-703 https://doi.org/10.1061/(ASCE)0733-9399(2000)126:7(693)
  6. Hjelmstad, K.D., Banan, M.R, and Banan, M.R, 'Time-domain parameter estimation algorithm for structures: I computational aspects; II numeri-cal simulation studies,' J. of Engineering Mechanics, ASCE, Vol.121, No.3, 1995, pp. 424-447 https://doi.org/10.1061/(ASCE)0733-9399(1995)121:3(424)
  7. Shin, S., 'Damage detection and assessment of structural systems from measured response,' Ph.D. Thesis, University of Illinois at Urbana-Champaign, 1994
  8. Hjelmstad, K.D. and Shin, S., 'Crack identi-fication in a cantilever beam from modal response,' Journal of Sound and Vibration, Vol.198, No.5, 1996, pp. 527-545 https://doi.org/10.1006/jsvi.1996.0587
  9. Tiwari, R., 'On-line identification and estimation of nonlinear stiffness parameters of bearings,' J. of Sound and Vibration, Vol.234, No.5, 2000, pp. 906-910 https://doi.org/10.1006/jsvi.1999.2704
  10. Yoshida, I., 'Damage detection using Monte Carlo filter based on non-Gaussian noise,' Proceedings of Nonlinear System Identification and Structural Health Monitoring, DPRl, Kyoto University, 2001, pp. 281-292
  11. Yun, C.B. and Shinozuka, M., 'Identification of nonlinear structural dynamic systems,' Journal of Structural Mechanics, ASCE, Vol.8, No.2, 1980, pp. 187-203 https://doi.org/10.1080/03601218008907359
  12. Yoshida, I. and Sata, T. 'Damage detection of adaptive Monte Carlo filter,' The 5th Korea-Japan Seminar/Workshop on System Identification and Structural Health Monitoring, Dongguk University 2004
  13. 이형진, 김남식, '실측 지진응답을 이용한 지진 손상도 평가 및 소성모형 추정', 한국지진공학회 논문집, Vol.6, 2002, pp. 7-15
  14. Raghavendrachar, M. and Aktan, A.E., 'Flexibility by Multireference Impact Testing for Bridge Diagnostics,' Journal of Structural Engineering, ASCE, Vol.118, No.8, 1992, pp. 2186-2203 https://doi.org/10.1061/(ASCE)0733-9445(1992)118:8(2186)
  15. Shin, S. and Koh, H.M., 'Assessment of bridge deterioration by a system identification method,' Structural Eng. World Congress, T131-3, San Francisco, USA, 1998, 7
  16. Shin, S. and Lee, H.S., 'Estimation of Optimal Damping and Stiffness Parameters from Incom-pletely Measured Acceleration Time History,' The 2nd China-Japan-Korea Joint Symposium on Optimization of Structural and Mechanical Systems (CJK-OSM2), Busan, Korea, 2003, pp. 527-532
  17. 오성호, '측정가속도 응답을 사용한 구조물의 비선형 시간영역 System Identification', 박사학위논문, 동아대학교, 2004