Structural Engineering and Mechanics

  • 제13권2호
  • /
  • Pages.117-134
  • /
  • 2002
  • /
  • 1225-4568(pISSN)
  • /
  • 1598-6217(eISSN)
테크노프레스 (Techno-Press)
권호 표지
DOI QR코드

DOI QR Code

Confidence region of identified parameters and optimal sensor locations based on sensitivity analysis

  • Kurita, Tetsushi (Seismic Engineering Department, Tokyo Electric Power Services Co. Ltd.) ;
  • Matsui, Kunihito (Department of Civil Engineering, Tokyo Denki University)
  • 발행 : 2002.02.25
⟨ 이전 논문 다음 논문 ⟩

초록

This paper presents a computational method for a confidence region of identified parameters which are affected by measurement noise and error contained in prescribed parameters. The method is based on sensitivities of the identified parameters with respect to model parameter error and measurement noise along with the law of error propagation. By conducting numerical experiments on simple models, it is confirmed that the confidence region coincides well with the results of numerical experiments. Furthermore, the optimum arrangement of sensor locations is evaluated when uncertainty exists in prescribed parameters, based on the concept that square sum of coefficients of variations of identified results attains minimum. Good agreement of the theoretical results with those of numerical simulation confirmed validity of the theory.

키워드

참고문헌

  1. Distefano, N., and Pena-Pardo, B. (1976), "System identification of frames under seismic loads", J. the Eng. Mech. Div., ASCE, 102(EM2), 313-330.
  2. Elgamal, A.-W., Zeghal, M., Parra, E., Gunturi, R., Tang, H.T., and Stepp, J.C. (1996), "Identification and modeling of earthquake ground response - I. Site amplification", Soil Dyn. and Earthq. Eng., 15, 499-522. https://doi.org/10.1016/S0267-7261(96)00021-8
  3. Fletcher, R. (1971), "A modified Marquardt subroutine for nonlinear least squares", Harwell Report, AERE-R. 6799.
  4. Hoshiya, M., and Saito, E. (1984), "Structural identification by extended Kalman filter", J. Eng. Mech., ASCE, 110(12), 1757-1770. https://doi.org/10.1061/(ASCE)0733-9399(1984)110:12(1757)
  5. Kiyono, J., Toki, K., and Sato, T. (1991), "Optimum configuration of observation points for geological data processing." (in Japanese) Proc. the 26th Japan National Conference on Soil Mechanics and Foundation Engineering, 195-198.
  6. Koh, C.G., See, L.M., and Balendra, T. (1991), "Estimation of structural parameters in time domain: A substructure approach", Earthq. Eng. and Struct. Dyn., 20, 787-801. https://doi.org/10.1002/eqe.4290200806
  7. Koh, C.G., and See, L.M. (1994), "Identification and uncertainty estimation of structural parameters", J. Eng. Mech., ASCE, 120(6), 1219-1236. https://doi.org/10.1061/(ASCE)0733-9399(1994)120:6(1219)
  8. Matsui, K., and Kurita, T. (1989), "Structural identification from input and output acceleration records", (in Japanese) J. Struct. Eng., JSCE, 35A, 689-698.
  9. Matsui, K., and Kurita, T. (1990), "Sensitivities of parameters due to model errors and measurement noises in structural identification problems", Proc. JSCE, Struct. Eng./Earthq. Eng., 422(I-14), 145-154.
  10. Ott, N., and Meder, H.G. (1970), "The Kalman filter as a prediction error filter." Geophysical Prospecting, 20, 549-560. https://doi.org/10.1111/j.1365-2478.1972.tb00654.x
  11. Tajima, M., and Komaki, K. (1986), Theory and Application of Least Square Method (in Japanese), Toyo-shoten, Tokyo.
  12. Toki, K., Sato, T., and Kiyono, J. (1989), "Identification of structural parameters and input ground motion from response time histories." Proc. JSCE, Struct. Eng./Earthq. Eng., 410(I-12), 243-251.
  13. Udwadia, F.E. (1994), "Methodology for optimum sensor locations for parameter identification in dynamic systems", J. Eng. Mech., ASCE, 120(2), 368-390. https://doi.org/10.1061/(ASCE)0733-9399(1994)120:2(368)
  14. Yoshida, I., and Hoshiya, M. (1994), "Back analysis considering uncertainty of known condition", (in Japanese) J. Struct. Mech. and Earthq. Eng., JSCE, 501(I-29), 213-216.
  15. Zeghal, M., Elgamal, A.-W., and Parra, E. (1996), "Identification and modeling of earthquake ground response - II. Site liquefaction", Soil Dyn. and Earthq. Eng., 15, 523-547. https://doi.org/10.1016/S0267-7261(96)00022-X

피인용 문헌

  1. A robust model-based test planning procedure vol.288, pp.3, 2005, https://doi.org/10.1016/j.jsv.2005.07.007
  2. New forms of extended Kalman filter via transversal linearization and applications to structural system identification vol.196, pp.49-52, 2007, https://doi.org/10.1016/j.cma.2007.07.004