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Temporal variation in modal properties of a base-isolated building during an earthquake

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Abstract

Temporal variation of dynamical modal properties of a base-isolated building is investigated using earthquake records in the building. A batch processing least-squares estimation method is applied to segment-wise time-series data. To construct an input-output system, an auto-regressive model with exogenous input (ARX) of second-order including a forgetting coefficient as a weighting coefficient is used for the estimation of modal parameters. The fundamental and second natural frequencies and the damping ratios of the fundamental and second natural modes of the base-isolated building are identified in the time domain. The identified results are consistent with the results obtained from the micro-tremor vibration data, forced-vibration test data and earthquake records in the present base-isolated building in the case of taking into account the amplitude-dependency of the isolators and viscous dampers. It is finally pointed out that several factors, e.g., amplitude dependency of the isolator and damper system and special characteristics of the series-type viscous damper system, may be related complicatedly with the temporal variation in modal properties of the above-mentioned system.

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References

  • Agbabian, M.S., Masri, S.F., Miller, R.K., Caughey, T.K., 1991. System identification approach to detection of structural changes. Journal of Engineering Mechanics, ASCE, 117(2):370–390. [doi:10.1061/(ASCE)0733-9399(1991)117:2(370)]

    Article  Google Scholar 

  • Beck, J.L., Jennings, P.C., 1980. Structural identification using linear models and earthquake records. Earthquake Engineering & Structural Dynamics, 8(2):145–160. [doi:10.1002/eqe.4290080205]

    Article  Google Scholar 

  • Davenport, A.G., Hill-Carroll, P., 1986. Damping in Tall Buildings: Its Variability and Treatment in Design. Proceedings of ASCE Spring Convention, Seattle, USA, p.42–57.

  • Doebling, S.W., Farrar, C.R., Prime, M.B., Shevitz, D.W., 1996. Damage Identification and Health Monitoring of Structural and Mechanical Systems from Changes in Their Vibration Characteristics: A Literature Review. Report No. LA-13070-MS, Los Alamos National Laboratory, NM, USA.

    Google Scholar 

  • Ghanem, R., Shinozuka, M., 1995. Structural-system identification I: Theory. Journal of Engineering Mechanics, ASCE, 121(2):255–264. [doi:10.1061/(ASCE)0733-9399(1995)121:2(255)]

    Article  Google Scholar 

  • Hart, G.C., Vasudevan, R., 1975. Earthquake design of buildings: Damping. Journal of the Structural Division, ASCE, 101(ST1):11–30.

    Google Scholar 

  • Hart, G.C., Yao, J.T.P., 1977. System identification in structural dynamics. Journal of the Engineering Mechanics Division, ASCE, 103(EM6):1089–1104.

    Google Scholar 

  • Herrmann, T., Pradlwarter, H.J., 1998. Two-step identification approach for damped finite element models. Journal of Engineering Mechanics, ASCE, 124(6):639–647. [doi:10.1061/(ASCE)0733-9399(1998)124:6(639)]

    Article  Google Scholar 

  • Hjelmstad, K.D., 1996. On the uniqueness of modal parameter estimation. Journal of Sound and Vibration, 192(2):581–598. [doi:10.1006/jsvi.1996.0205]

    Article  MathSciNet  MATH  Google Scholar 

  • Hjelmstad, K.D., Banan, M.R., Banan, M.R., 1995. On building finite element models of structures from modal response. Earthquake Engineering & Structural Dynamics, 24(1):53–67. [doi:10.1002/eqe.4290240105]

    Article  MATH  Google Scholar 

  • Hoshiya, M., Saito, E., 1984. Structural identification by extended Kalman filter. Journal of Engineering Mechanics, ASCE, 110(12):1757–1770. [doi:10.1061/(ASCE)0733-9399(1984)110:12(1757)]

    Article  Google Scholar 

  • Housner, G., 1997. Special issue, structural control: past, present, and future. Journal of Engineering Mechanics, ASCE, 123(9):897–971. [doi:10.1061/(ASCE)0733-9399(1997)123:9(897)]

    Article  Google Scholar 

  • Inaudi, J.A., Kelly, J.M., 1995. Linear hysteretic damping and the Hilbert transform. Journal of Engineering Mechanics, ASCE, 121(5):626–632. [doi:10.1061/(ASCE)0733-9399(1995)121:5(626)]

    Article  Google Scholar 

  • Kareem, A., Gurley, K., 1996. Damping in structures: Its evaluation and treatment of uncertainty. Journal of Wind Engineering and Industrial Aerodynamics, 59(2–3):131–157. [doi:10.1016/0167-6105(96)00004-9]

    Article  Google Scholar 

  • Kitada, Y., 1998. Identification of nonlinear structural dynamic systems using wavelets. Journal of Engineering Mechanics, ASCE, 124(10):1059–1066.

    Article  Google Scholar 

  • Koh, C.G., See, L.M., Balendra, T., 1991. Estimation of structural parameters in time domain: a substructure approach. Earthquake Engineering & Structural Dynamics, 20(8):787–801. [doi:10.1002/eqe.4290200806]

    Article  Google Scholar 

  • Lus, H., Betti, R., Longman, R.W., 1999. Identification of linear structural systems using earthquake-induced vibration data. Earthquake Engineering & Structural Dynamics, 28(11):1449–1467. [doi:10.1002/(SICI)1096-9845(199911)28:11<1449::AID-EQE881>3.0.CO;2-5]

    Article  Google Scholar 

  • Masri, S.F., Nakamura, M., Chassiakos, A.G., Caughey, T.K., 1996. A neural network approach to the detection of changes in structural parameters. Journal of Engineering Mechanics, ASCE, 122(4):350–360. [doi:10.1061/(ASCE)0733-9399(1996)122:4(350)]

    Article  Google Scholar 

  • Mendel, J.M., 1995. Lessons in Estimation Theory for Signal Processing, Communications, and Control (2nd Ed.). Prentice Hall, New Jersey.

    MATH  Google Scholar 

  • Nakamura, M., Takewaki, I., 2002. System Identification Method for Interstory Stiffness and Damping through Limited Observation: Application to Ambient Vibration and Robustness for Noise. Summaries of Annual Meeting of AIJ, Structure II, p.291–292 (in Japanese).

  • Nakamura, M., Takewaki, I., 2005. Evaluation of Time-variance of Dynamic Properties of a Base-isolated Building during an Earthquake. Summaries of Annual Meeting of AIJ, Structure II, p.675–676 (in Japanese).

  • Nakamura, M., Takewaki, I., Yasui, Y., Uetani, K., 1998. System Identification Method for Interstory Stiffness and Damping through Limited Observation: Application to Ambient Vibration and Robustness for Noise. Summaries of Annual Meeting of AIJ, Structure II, p.291–292 (in Japanese).

  • Nashif, A.D., Jones, D.I.G., Henderson, J.P., 1985. Vibration Damping. John Wiley & Sons, New York.

    Google Scholar 

  • Safak, E., 1989. Adaptive modeling, identification, and control of dynamic structural systems I: Theory. Journal of Engineering Mechanics, ASCE, 115(11):2386–2405. [doi:10.1061/(ASCE)0733-9399(1989)115:11(2386)]

    Article  Google Scholar 

  • Satake, N., Suda, K., Arakawa, T., Sasaki, A, Tamura, Y., 2003. Damping evaluation using full-scale data of buildings in Japan. Journal of Structural Engineering, ASCE, 129(4):470–477. [doi:10.1061/(ASCE)0733-9445(2003)129:4(470)]

    Article  Google Scholar 

  • Shinozuka, M., Ghanem, R., 1995. Structural-system identification II: Experimental verification. Journal of Engineering Mechanics, ASCE, 121(2):265–273. [doi:10.1061/(ASCE)0733-9399(1995)121:2(265)]

    Article  Google Scholar 

  • Stewart, J.P., Conte, J.P., Aiken, I.D., 1999. Observed behavior of seismically isolated buildings. Journal of Structural Engineering, ASCE, 125(9):955–964. [doi:10.1061/(ASCE)0733-9445(1999)125:9(955)]

    Article  Google Scholar 

  • Takewaki, I., Nakamura, M., 2000. Stiffness-damping simultaneous identification using limited earthquake records. Earthquake Engineering and Structural Dynamics, 29(8):1219–1238. [doi:10.1002/1096-9845(200008)29:8<1219::AID-EQE968>3.3.CO;2-O]

    Article  Google Scholar 

  • Takewaki, I., Nakamura, M., 2005. Stiffness-damping simultaneous identification under limited observation. Journal of Engineering Mechanics, ASCE, 131(10):1027–1035. [doi:10.1061/(ASCE)0733-9399(2005)131:10(1027)]

    Article  Google Scholar 

  • Yao, J.T.P., Natke, H.G., 1994. Damage detection and reliability evaluation of existing structures. Structural Safety, 15(1–2):3–16. [doi:10.1016/0167-4730(94)90049-3]

    Article  Google Scholar 

  • Yoshitomi, S., Takewaki, I., 2009. Noise-effect compensation method for physical-parameter system identification under stationary random input. Structural Control and Health Monitoring, 16(3):350–373. [doi:10.1002/stc.263]

    Article  Google Scholar 

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Authors and Affiliations

  1. Department of Urban and Environmental Engineering, Graduate School of Engineering, Kyoto University, Nishikyo, Kyoto, 615-8540, Japan

    Izuru Takewaki

  2. Technical Research Institute, Obayashi Corporation, Tokyo, 204-8558, Japan

    Mitsuru Nakamura

Authors
  1. Izuru Takewaki
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  2. Mitsuru Nakamura
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Correspondence to Izuru Takewaki.

Additional information

Project supported by the Grant-in-Aid for Scientific Research (No. 10650562) from the Ministry of Education, Science, Sports and Culture of Japan, the Grant-in-Aid for Scientific Research (No. 16560496) from the Japan Society for the Promotion of Science, and the Collaboration Project between Kyoto University and Obayashi Corporation (1998–2002), Japan

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Takewaki, I., Nakamura, M. Temporal variation in modal properties of a base-isolated building during an earthquake. J. Zhejiang Univ. Sci. A 11, 1–8 (2010). https://doi.org/10.1631/jzus.A0900462

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  • DOI: https://doi.org/10.1631/jzus.A0900462

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