Structural Engineering and Mechanics

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Uncertain-parameter sensitivity of earthquake input energy to base-isolated structure

  • Takewaki, Izuru (Department of Urban and Environmental Engineering, Graduate School of Engineering, Kyoto University)
  • Received : 2004.11.09
  • Accepted : 2005.04.12
  • Published : 2005.06.20
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Abstract

The input energy to a base-isolated (BI) building during an earthquake is considered and formulated in the frequency domain. The frequency-domain approach for input energy computation has some notable advantages over the conventional time-domain approach. Sensitivities of the input energy to the BI building are derived with respect to uncertain parameters in the base-isolation system. It is demonstrated that the input energy can be of a compact form via the frequency integration of the product between the input component (Fourier amplitude spectrum of acceleration) and the structural model component (so-called energy transfer function). With the help of this compact form, it is shown that the formulation of earthquake input energy in the frequency domain is essential for deriving the sensitivities of the input energy to the BI building with respect to uncertain parameters. The sensitivity expressions provide us with information on the most unfavorable combination of the uncertain parameters which leads to the maximum energy input.

Keywords

References

  1. Akiyama, H. (1985), Earthquake Resistant Limit-state Design for Buildings, University of Tokyo Press, Tokyo, Japan
  2. Architectural Institute of Japan (1989), Recommendation for the Design of Base Isolated Buildings
  3. Architectural Institute of Japan (2001), Recommendation for the Design of Base Isolated Buildings
  4. Barbat, A.H., Rodellar, J., Ryan, E.P. and Molinares, N. (1995), 'Active control of nonlinear base-isolated buildings', J. Engng. Mech., ASCE, 121(6), 676-684 https://doi.org/10.1061/(ASCE)0733-9399(1995)121:6(676)
  5. Housner, G.W. (1959), 'Behavior of structures during earthquakes', J. Engng. Mech. Div., ASCE, 85(4), 109-129
  6. Housner, G.W.. and Jennings, P.C. (1977), 'The capacity of extreme earthquake motions to damage structures', 'Structural and geotechnical mechanics' : A volume honoring N.M. Newmark edited by W.J. Hall, 102-116, Prentice-Hall Englewood Cliff, NJ
  7. Kuwamura, H., Kirino, Y. and Akiyama, H. (1994), 'Prediction of earthquake energy input from smoothed Fourier amplitude spectrum', Earthq. Engng. Struct. Dyn., 23, 1125-1137 https://doi.org/10.1002/eqe.4290231007
  8. Lyon, R.H. (1975), Statistical Energy Analysis of Dynamical Systems. The MIT Press, Cambridge, MA
  9. Meirovitch, L. and Stemple, T.J. (1997), 'Nonlinear control of structures in earthquakes', J. Engng. Mech., ASCE, 123(10), 1090-1095 https://doi.org/10.1061/(ASCE)0733-9399(1997)123:10(1090)
  10. Morales, C.A. (2003), 'Transmissibility concept to control base motion in isolated structures', Engng. Struct., 25(10), 1325-1331 https://doi.org/10.1016/S0141-0296(03)00084-1
  11. Naeim, F. and Kelly, J.M. (1999), Design of Seismic Isolated Structures. Wiley: New York
  12. Nakamura, T. and Yamane, T. (1986), 'Optimum design and earthquake-response constrained design for elastic shear buildings', Earthq. Engng. Struct. Dyn., 14, 797-815 https://doi.org/10.1002/eqe.4290140508
  13. Ohi, K., Takanashi, K. and Tanaka, H. (1985), 'A simple method to estimate the statistical parameters of energy input to structures during earthquakes', J. Struct. Construction Engng., AIJ, 347, 47-55 (in Japanese)
  14. Ordaz, M., Huerta, B. and Reinoso, E. (2003), 'Exact computation of input-energy spectra from Fourier amplitude spectra', Earthq. Engng. Struct. Dyn., 32, 597-605 https://doi.org/10.1002/eqe.240
  15. Takewaki, I. (1999), 'Hybrid inverse eigenmode problem for top-linked twin shear building models', Int. J. Mech. Sci., 41(9),1133-1153 https://doi.org/10.1016/S0020-7403(98)00094-0
  16. Takewaki, I. (2000), Dynamic Structural Design: Inverse Problem Approach, WIT press, UK
  17. Takewaki, I. (2004a), 'Bound of earthquake input energy', J. Struct. Engng., ASCE, 130(9), 1289-1297 https://doi.org/10.1061/(ASCE)0733-9445(2004)130:9(1289)
  18. Takewaki, I. (2004b), 'Frequency domain modal analysis of earthquake input energy to highly damped passive control structures', Earthq. Engng. Stntct. Dyn., 33(5), 575-590 https://doi.org/10.1002/eqe.361
  19. Takewaki, I., Nakamura, T. and Arita, Y. (1996), 'A hybrid inverse mode problem for fixed-fixed mass-spring models', J. Vibration and Acoustics, ASME, 118(4), 641-648 https://doi.org/10.1115/1.2888346
  20. Trifunac, M.D., Hao, T.Y. and Todorovska, M.I. (2001), 'On energy flow in earthquake response', Report CE 01-03, July 2001, University of Southern California
  21. Uang, C.M. and Bertero, V.V. (1990), 'Evaluation of seismic energy in structures', Earthq. Engng. Struct. Dyn., 19, 77-90 https://doi.org/10.1002/eqe.4290190108
  22. Yanai, H. (1980), The Inverse of the Triple Diagonal Matrix, Keio University, Tokyo, Japan

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