DOI QR코드

DOI QR Code

Using spectrum-compatible ground motions for deriving damping modification factors

  • Mohamed Hesham Mansour (Structures & Metallic Constructions Research Institute, Housing & Building National Research Center)
  • 투고 : 2025.05.02
  • 심사 : 2025.07.10
  • 발행 : 2025.10.25

초록

Damping modification factor (DMF) is utilized in seismic design codes for computing high damping response spectra from their 5%-damped counterpart. These high damped response spectra are used for designing buildings with base isolation and supplemental damping devices. The current research aims at investigating DMFs derived from spectrum-compatible ground motions. Two ground motion datasets were selected and scaled from the PEER database using the two types of spectra in the current Egyptian code as target spectra. DMFs were derived using the two ground motion datasets and represented by empirical equation with suitable coefficients for each dataset. The resulting DMFs were compared to Eurocode 8 (EC8) expression and previous studies. The mean exact DMFs for dataset (1) at periods between 1.5 and 3 s had very good agreement with EC8. For dataset (1) and at damping ratio of 10%, the empirical equation had excellent matching with previous expression derived from moderate earthquakes in Egypt. The results of this study have also assured that by decrease in magnitude of earthquake, the resulting values of DMF exhibit higher tendency to approach unity at longer periods. The approach of using spectrum-compatible ground motions to derive DMFs showed a reasonable efficiency and may be useful if local strong motion records are scarce.

키워드

참고문헌

  1. Ashour, S.A. (1987), "Elastic seismic response of buildings with supplemental damping", Ph.D. Dissertation, Michigan University, Ann Arbor, MI, USA.
  2. Bantis, J. and Miranda, E. (2025), "Effect of damping on response spectral ordinates of ground motions recorded on soft soils in the San Francisco Bay Area", Soil. Dyn. Earthq. Eng., 196, 109449. https://doi.org/10.1016/j.soildyn.2025.109449.
  3. Benahmed, B. (2018), "Formulation of damping reduction factor for the Algerian seismic code", Asian J. Civil Eng., 19, 375-385. https://doi.org/10.1007/s42107-018-0023-6.
  4. Benahmed, B. and Hamoutenne, M. (2018), "Use of the artificial neural networks to estimate the DRF for Eurocode 8", Period. Polytech. Civil Eng., 62(2), 470-479. https://doi.org/10.3311/PPci.8139.
  5. Bommer, J.J., Elnashai, A.S. and Weir, A.G. (2000), "Compatible acceleration and displacement spectra for seismic design codes", Proceedings of the 12th World Conference on Earthquake Engineering, Auckland, New Zealand, January-February.
  6. Dávalos, H., Miranda, E., Bantis, J. and Cruz, C. (2022), "Response spectral damping modification factors for structures built on soft soils", Soil. Dyn. Earthq. Eng., 154, 107153. https://doi.org/10.1016/j.soildyn.2022.107153.
  7. ECP201 (2012), The Egyptian Code for Calculation of Loads on Structures, Housing and Building National Research Center, Giza, Egypt.
  8. Eurocode 8 (2004), Design of Structures for Earthquake Resistance, Part 1: General Rules, Seismic Actions and Rules for Buildings, European Committee for Standardization, Brussels, Belgium.
  9. Fernandez-Davila, V.I. and Mendo, A.R. (2020), "Damping modification factors for the design of seismic isolation systems in Peru", Earthq. Spectra, 36(4), 1-28. https://doi.org/10.1177/8755293020926189.
  10. Hao, A., Zhou, D., Li, Y. and Zhang, H. (2011), "Effects of moment magnitude, site conditions and closest distance on damping modification factors", Soil Dyn. Earthq. Eng., 31(9), 1232-1247. https://doi.org/10.1016/j.soildyn.2011.05.002.
  11. IBC 2000 (2000), International Building Code, International Conference of Building Officials, Whittier, CA, USA.
  12. Kawashima, K. and Aizawa, K. (1986), "Modification of earthquake response spectra with respect to damping ratio", Proceedings of the 3rd US National Conference on Earthquake Engineering, Charleston, South Carolina, August.
  13. Lin, Y.Y. (2007), "Statistical study on damping modification factors adopted in Taiwan's seismic isolation design code by using the 21 September 1999 Chi-Chi earthquake, Taiwan", Eng. Struct., 29(5), 682-693. https://doi.org/10.1016/j.engstruct.2006.06.006.
  14. Lin, Y.Y. and Chang, K.C. (2003), "Study on damping reduction factor for buildings under earthquake ground motions", ASCE J. Struct. Eng., 129(2), 206-214. https://doi.org/10.1061/(ASCE)0733-9445(2003)129:2(206).
  15. Mansour, M.H., Hussein, M.M., Akl, A.Y. and Abd El-Aal, A.K. (2020), "Derivation of damping modification factor using Egyptian seismic records", J. Eng. Appl. Sci., 67(4), 885-903.
  16. Merter, O. and Ucar, T. (2024), "Input energy spectrum damping modification factors", Earthq. Struct., 26(3), 219-228. https://doi.org/10.12989/eas.2024.26.3.219.
  17. NEHRP 2003 (2003), Recommended Provisions for Seismic Regulations for New Buildings and Other Structures, Federal Emergency Management Agency, Washington D.C., USA.
  18. NEHRP 94 (1994), Recommended Provisions for Seismic Regulations for New Buildings and Other Structures, Federal Emergency Management Agency, Washington D.C., USA.
  19. NEHRP 97 (1997), Recommended Provisions for Seismic Regulations for New Buildings and Other Structures, Federal Emergency Management Agency, Washington D.C., USA.
  20. Newmark, N.M. and Hall, W.J. (1982), "Earthquake spectra and design EERI monograph series", Earthquake Engineering Research Institute, Oakland, CA, USA.
  21. PEER (2024), Pacific Earthquake Engineering Research Center Strong Ground Motion Database; Pacific Earthquake Engineering Research Center, University of California, Berkeley, CA, USA. https://ngawest2.berkeley.edu/
  22. Ramirez, O.M., Constantinou, M.C., Whittaker, A.S., Kircher, C.A. and Chrysostomou, C.Z. (2002), "Elastic and inelastic seismic response of buildings with damping systems", Earthq. Spectra, 18(3), 531-547. https://doi.org/10.1193/1.1509762.
  23. Stafford, P.J., Mendis, R. and Bommer, J.J. (2008), "Dependence of damping correction factors for response spectra on duration and numbers of cycles", J. Struct. Eng., 134(8), 1364-1373. https://doi.org/10.1061/(ASCE)0733-9445(2008)134:8(1364).
  24. Tolis, S.V. and Faccioli, E. (1999), "Displacement design spectra", J. Earthq. Eng., 3(1), 107-125. https://doi.org/10.1080/13632469909350342.
  25. UBC 94 (1994), Uniform Building Code, International Conference of Building Officials, Whittier, CA, USA.
  26. UBC 97 (1997), Uniform Building Code, International Conference of Building Officials, Whittier, CA, USA.
  27. Wu, J.P. and Hanson, R.D. (1989), "Study of inelastic response spectra with high-damping", J. Struct. Eng., 115(6), 1412-1431. https://doi.org/10.1061/(ASCE)0733-9445(1989)115:6(1412).
  28. Zhang, H. and Zhao, Y.G. (2022), "Damping modification factor of acceleration response spectrum considering seismological effects", J. Earthq. Eng., 26(16), 8359-8382. https://doi.org/10.1080/13632469.2021.1991521.
  29. Zhang, H., Deng, J. and Zhao, Y.G. (2023), "Damping modification factor of pseudo-acceleration spectrum considering influences of magnitude, distance and site conditions", Earthq. Struct., 25(5), 325-342. https://doi.org/10.12989/eas.2023.25.5.325.