Abstract
The damping modification factor (DMF) has been extensively used in earthquake engineering to describe the variation of structural responses due to varied damping ratios. It is known that DMFs are dependent not only on structural dynamic properties but also on characteristics of ground motions. DMFs regulated in current seismic codes are generally developed based on far-fault ground motions and are inappropriately used in structural design where pulse-like near-fault ground motions are involved. In this paper, statistical investigation of the DMF is performed based on 50 carefully selected pulse-like near-fault ground motions. It is observed that DMFs for pulse-like ground motions exhibit significant dependence on the pulse period T p in a specific period range. If the period of the structure in response is close to the pulse period, the DMF attains the same level as that derived from far-fault ground motions; as the period of the structure is considerably larger or smaller than the pulse period T p , the response reduction effect by the increased damping ratio is generally small, except for large earthquakes with long pulse periods, which exhibit significant reduction of response for structures with periods smaller than T p . Based on the statistical results of DMFs, the empirical formulas for estimating DMFs for displacement, velocity and acceleration spectra are proposed, the effect of structural period, pulse period and damping ratio are considered in the formulas, and the formulas are designed to satisfy the specific reliability requirement in the period range of 0.1 < T/T p < 1, which is of engineering interest.
Similar content being viewed by others
References
Alavi B, Krawinkler H (2000) Effects of near-fault ground motions on frame structures. Technical report 138, John A Blume Earthquake Engineering Center, Stanford University, Stanford, CA
Alavi B, Krawinkler H (2004) Behavior of moment-resisting frame structures subjected to near-fault ground motions. Earthq Eng Struct Dyn 33(6):687–706
Anderson JC, Bertero VV, Bertero RD (1999) Performance improvement of long period building structures subjected to severe pulse-type ground motions. Technical report PEER-1999/09, Pacific Earthquake Engineering Research Center, University of California, Berkeley
Baker JW (2007) Quantitative classification of near-fault ground motions using wavelet analysis. Bull Seismol Soc Am 97(5):1486–1501
Bommer JJ, Mendis R (2005) Scaling of spectral displacement ordinates with damping ratios. Earthq Eng Struct Dyn 34:145–165
Cardone D, Dolce M, Rivelli M (2009) Evaluation of reduction factors for high-damping design response spectra. Bull Earthq Eng 7:273–291
Chinese Code for seismic design of buildings (GB50011, 2010), MOHURD (Ministry of Housing and Urban-Rural Development of the People’s Republic of China). China Architecture and Building Press, Beijing
Chopra A (2006) Dynamics of structures: theory and applications to earthquake engineering, 2nd edn. Prentice-Hall, Englewood Cliffs
Eurocode8 (European Committee for Standardization, 2004) design of structures for earthquake resistance. Part 1: general rules—seismic actions and general requirements for structures
FEMA 273 (1997) NEHRP guidelines for the seismic rehabilitation of buildings.’ Federal Emergency Management Agency, Washington, DC
Hao AM, Zhou DY, Li YM et al (2011) Effects of moment magnitude, site conditions and closest distance on damping modification factors. Soil Dyn Earthq Eng 31:1232–1247
Hatzigeorgiou GD (2010) Damping modification factors for SDOF systems subjected to near-fault, far-fault and artificial earthquakes. Earthq Eng Struct Dyn 39:1239–1258
Heaton TH, Hall JF, Wald DJ, Halling MW (1995) Response of high-rise and base-isolated buildings to a hypothetical mw 7.0 blind thrust earthquake. Science 267(5195):206–211
Housner GW (1956) Limit design of structures to resist earthquakes. In: Proceedings of the 1st World Conference on Earthquake Engineering, Earthquake Engineering Research Institute, Oakland, CA, vol 5, pp 1–13
Hubbard DT, Mavroeidis GP (2011a) Damping coefficients for near-fault ground motion response spectra. Soil Dyn Earthq Eng 31:401–417
Hubbard DT, Mavroeidis GP (2011b) Authors’ reply to discussion by G.D. Hatzigeorgiou and G.A. Papagiannopoulos of ‘‘Damping coefficients for near-fault ground motion response spectra’. Soil Dyn Earthq Eng 31:725–728
Kasai K, Ito H, Watanabe A (2003) Peak response prediction rule for a SDOF elasto-plastic system based on equivalent linearization technique. J Struct Constr Eng 571:53–62
Khoshnoudian F, Ahmadi E, Azad AI (2014) Damping coefficients for soil-structure systems and evaluation of FEMA440 subjected to pulse-like near-fault earthquakes. Soil Dyn Earthq Eng 61–62:124–134
Lin YY (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 29:682–693
Lin YY, Chang KC (2003) Study on damping reduction factor for buildings under earthquake ground motions. J Struct Eng 129(2):206–214
Lin YY, Chang KC (2004) Effects of site classes on damping reduction factors. J Struct Eng 130(11):1667–1675
Lin YY, Miranda E, Chan KC (2005) Evaluation of damping reduction factors for estimating elastic response of structures with high damping. Earthq Eng Struct Dyn 34(9):375–388
Makris N (1997) Rigidity–plasticity–viscosity: can electrorheological dampers protect base isolated structures from near-source ground motions. Earthq Eng Struct Dyn 26(5):571–592
Mavroeidis GP, Papageorgiou AS (2003) A mathematical representation of near-fault ground motions. Bull Seismol Soc Am 93(3):1099–1131
Mavroeidis GP, Dong G, Papageorgiou AS (2004) Near-fault ground motions, and the response of elastic and inelastic single-degree-of-freedom (SDOF) systems. Earthq Eng Struct Dyn 33:1023–1049
NEHRP 2000 (2000) Recommended provisions for seismic regulations for new buildings. Federal Emergency Management Agency, Washington, DC
Pavlou EA, Constantinou MC (2004) Response of elastic and inelastic structures with damping systems to near-field and soft-soil ground motions. Eng Struct 26:1212–1230
PEER (Pacific Earthquake Engineering Research Institute 2010) Technical report for the PEER ground motion database web application
Priestley MJN (2003) Myths and fallacies in earthquake engineering, revisited. IUSS Press, University of Pavia, Italy
Rupakhety R, Sigurdsson SU, Papageorgiou AS et al (2011) Quantification of ground-motion parameters and response spectra in the near-fault region. Bull Earthq Eng 9:893–930
Stafford PJ, Mendis R, Bommer J (2008) Dependence of damping correction factors for response spectra on duration and numbers of cycles. J Struct Eng SCE 134(8):1364–1373
Uniform Building Code (UBC) (1997) Uniform building code. International Conference Building Officials, Whittier, CA
Zhao YG, Ono T (2000) Third-moment standardization for structural reliability analysis. J Struct Eng 126(6):724–732
Acknowledgments
The reviewers of this manuscript are gratefully acknowledged for their very constructive comments and suggestions, so that the quality of this manuscript has been improved greatly. PEER and Prof. Baker (2007) are gratefully acknowledged for providing open access to a strong motion database and pulse identification program, respectively. Prof. Yangang Zhao of Kanagawa University is acknowledged for his helpful suggestion and comment on the calculation of reliability based on moment method. The financial support of the National Natural Science Foundation of China (Grant No. 51208405) and the Open Foundation of National Engineering Laboratory for High Speed Railway Construction (No. HSR2013021) are also gratefully acknowledged.
Author information
Authors and Affiliations
Corresponding author
Rights and permissions
About this article
Cite this article
Pu, W., Kasai, K., Kabando, E.K. et al. Evaluation of the damping modification factor for structures subjected to near-fault ground motions. Bull Earthquake Eng 14, 1519–1544 (2016). https://doi.org/10.1007/s10518-016-9885-8
Received:
Accepted:
Published:
Issue Date:
DOI: https://doi.org/10.1007/s10518-016-9885-8