Earthquakes and Structures

Techno-Press (테크노프레스)
권호 표지
DOI QR코드

DOI QR Code

Equivalent period and damping of SDOF systems for spectral response of the Japanese highway bridges code

  • Received : 2010.12.10
  • Accepted : 2011.04.29
  • Published : 2011.12.25
⟨ Previous Next ⟩

Abstract

In seismic design and structural assessment using the displacement-based approach, real structures are simplified into equivalent single-degree-of-freedom systems with equivalent properties, namely period and damping. In this work, equations for the optimal pair of equivalent properties are derived using statistical procedures on equivalent linearization and defined in terms of the ductility ratio and initial period of vibration. The modified Clough hysteretic model and 30 artificial accelerograms, compatible with the acceleration spectra for firm and soft soils, defined by the Japanese Design Specifications for Highway Bridges are used in the analysis. The results obtained with the proposed equations are verified and their limitations are discussed.

Keywords

References

  1. Bommer, J.J., Elnashai, A.S. and Weir, A.G. (2000), "Compatible acceleration and displacement spectra for seismic codes", Proceedings of the 12th World Conference on Earthquake Engineering, Auckland, New Zealand, February.
  2. Blandon, C.A. and Priestley, M.J.N. (2005), "Equivalent viscous damping equations for direct displacement based design", J. Earthq. Eng., 9(2), 257-278. https://doi.org/10.1142/S1363246905002390
  3. Chopra, A.K. and Goel, R.K. (1999), "Capacity-demand diagram methods for estimating seismic deformation of inelastic structures: SDOF systems", Report PEER-1999/02, Pacific Earthquake Engineering Research Center, University of California, Berkeley, April.
  4. Clough, R.W. and Penzien, J. (2003), Dynamics of structures, Computer and Structures, Inc.
  5. Degee, H., Bento, R. and Massena, B. (2008), "Assessment of existing formulas for equivalent damping to use in direct displacement-based design", Proceedings of the 14th World Conference on Earthquake Engineering, Beijing, China, October.
  6. Dwairi, H.M., Kowalski, M.J. and Nau, J.M. (2006), "Equivalent damping in support of direct displacementbased design", J. Earthq. Eng., 11(4), 515-530.
  7. Goda, K. and Atkinson, G.M. (2010), "Non-iterative equivalent linearization of inelastic SDOF systems for earthquakes in Japan and California", Earthq. Eng. Struct. Dyn., 39, 1219-1238. https://doi.org/10.1002/eqe.990
  8. Gulkan, P. and Sozen, M. (1974), "Inelastic response of reinforced concrete structures to earthquakes motions", ACI J., 71(12), 604-610.
  9. Guyader, A. and Iwan, W.D. (2006), "Determining equivalent linear parameters for use in a capacity spectrum method of analysis", J. Struct. Eng., 132(1), 59-67. https://doi.org/10.1061/(ASCE)0733-9445(2006)132:1(59)
  10. Hamada, M. (2000), "Key concepts for earthquake resistant design of civil engineering structures after the 1995 Hyogoken-nanbu earthquake", Earthquake Resistant Design Codes in Japan, JSCE.
  11. Iwan, W.D. (1980), "Estimating inelastic response spectra from elastic response spectra", Earthq. Eng. Struct. Dyn., 8, 375-388. https://doi.org/10.1002/eqe.4290080407
  12. Jacobsen, L.S. (1930) "Steady forced vibration as influenced by damping", ASME transactions, 5(1), 169-181.
  13. Jacobsen, L.S. (1960), "Damping in composite structures", Proceedings of the 2nd World Conference on Earthquake Engineering, Tokyo, Japan 2, 1029-1044.
  14. Japan Road Association (2002), Seismic design specifications for highway bridges. (in Japanese)
  15. Kowalsky, M.J., Priestley, M.J.N. and MacRae, G. (1994), "Displacement-based design. A methodology for seismic design applied to single degree of freedom reinforced concrete structures", Report SSRP-94/16, Structural Systems Research Project, University of California, San Diego.
  16. Kwan, W. and Billington, S.L. (2003), "Influence of hysteretic behavior on equivalent period and damping of structural systems", J. Struct. Eng., 129(5), 576-585. https://doi.org/10.1061/(ASCE)0733-9445(2003)129:5(576)
  17. Lin, Y.Y. and Miranda, E. (2008), "Noniterative equivalent linear method for evaluation of existing structures", J. Struct. Eng., 134(11), 1685-1695. https://doi.org/10.1061/(ASCE)0733-9445(2008)134:11(1685)
  18. Miranda, E. (2000), "Inelastic displacement ratios for structures on firm sites", J. Struct. Eng., 126, 1150-1159. https://doi.org/10.1061/(ASCE)0733-9445(2000)126:10(1150)
  19. Miranda, E. and Ruiz-Garcia, J. (2002), "Evaluation of approximate methods to estimate maximum inelastic displacement demands", Earthq. Eng. Struct. Dyn., 31(3), 539-560. https://doi.org/10.1002/eqe.143
  20. Newmark, N.M. and Hall, W.J. (1982), Earthquake spectra and design, Earthquake Engineering Research Institute, Berkeley, CA.
  21. Otani, S. (1981), "Hysteresis models of reinforced concrete for earthquake response analysis", J. Fac. Eng., Tokyo University (B) XXXVI(2), 407-441.
  22. Priestley, M.J.N., Calvi, G.M. and Kowalsky, M.J. (2007), Displacement-based seismic design of structures, IUSS Press, Pavia, Italy.
  23. Rosenblueth, E. and Herrera, I. (1964), "On a kind of hysteretic damping", J. Eng. Mech. - ASCE, 90(4), 37-48.
  24. Sanchez-Flores, F. and Igarashi, A. (2010), "A new equation for equivalent period and damping of SDOF systems subjected to near source earthquakes", Proceedings of the Annual Meeting of the JSCE, Sapporo, Japan, September.
  25. Zaharia, R. and Taucer, F. (2008), "Equivalent period and damping for EC8 spectral response of SDOF ringspring hysteretic models", JRC, Scientific and technical Reports EUR 23365 EN-2088.

Cited by

  1. CHARACTERIZATION OF NONLINEAR DYNAMIC AMPLIFICATION EFFECT ASSOCIATED WITH SPREAD FOUNDATIONS USING EQUIVALENT LINEARIZATION TECHNIQUE vol.71, pp.2, 2015, https://doi.org/10.2208/jscejam.71.I_667
  2. Spectral reduction factors evaluation for seismic assessment of frame buildings vol.77, 2014, https://doi.org/10.1016/j.engstruct.2014.07.041