Abstract
High-damping response spectra are essential tools for the assessment and design methods based on the equivalent elastic structure concept. They are also often used for the analysis and design of structures with seismic isolation or energy dissipation systems. Many formulations of the reduction factors have been proposed and included in seismic codes to estimate high-damping response spectra from their 5% damping representation. They are reviewed in the present paper. The accuracy of each of them in estimating the maximum elastic response of structures with viscous damping ratios greater than 5% is assessed by comparing exact and approximate displacement response spectra for three different damping levels, namely 10, 20 and 30%, respectively. The comparison is referred to more than 120 ground motion records, relevant to earthquakes with magnitude between 6 and 8, epicentral distance ranging from 1 to 100 km and Peak Ground Accelerations (PGA’s) greater than 0.1 g. The comparison between exact and approximate response spectra is carried out for both single earthquakes and groups of earthquakes with similar magnitude and epicentral distance. The drawbacks of using the same damping reduction factor to estimate both maximum displacement response and design seismic forces are also addressed.
Similar content being viewed by others
References
Ashour SA (1987) Elastic seismic response of buildings with supplemental damping. Ph.D. Thesis, Department of Civil Engineering, Michigan University
ATC-40 (1996) Seismic evaluation and retrofit of concrete buildings. Applied Technology Council, Redwood City, CA
Bommer JJ, Mendis R (2005) Scaling of spectral displacement ordinates with damping ratios. Earthquake Eng Struct Dynam 34: 145–165. doi:10.1002/eqe.414
Bommer JJ, Elnashai AS, Weir AG (2000) Compatible acceleration and displacement spectra for seismic design codes. In: Proceedings of the 12th world conference on earthquake engineering, Auckland
Caltrans (2006) California Department of Transportation, Seismic Design Criteria, ver. 1.4., Sacramento, California
Chopra AK (1995) Dynamics of structures. Prentice Hall International Inc, London
Constantinou MC, Soong TT, Dargush GF (1998) Passive energy dissipation systems for structural design and retrofit. MCEER, State University of New York at Buffalo
DM Infrastrutture 14.01.2008 (2008) Approval of the new technical standards for constructions (in Italian). GU n. 29 4-2-2008- Suppl. Ordinario n. 30, Roma
Eurocode 8 (1994). Design provisions for earthquake resistance of structures. Part 1: General rules—Seismic actions and general requirements for structures. European pre-norm ENV 1998-1, CEN, Brussels
Eurocode 8 (2004) Design of structures for earthquake resistance, Part 1: General rules, seismic actions and rules for buildings. EN 2004-1-1, CEN, Brussels
FEMA-273 (1997) NEHRP guidelines for the seismic rehabilitation of buildings. Fed. Emergency Management Agency, Washington DC
FEMA-356 (2000) NEHRP prestandard and commentary for the seismic rehabilitation of buildings. Federal Emergency Management Agency, Washington D.C
Gulkan P, Sozen M (1974) Inelastic response of reinforced concrete structures to earthquake ground motions. ACI J 71: 604–610
IBC (2000) International Building Code. International Conference of Building Officials, Whittier, CA
JPN (2001) Ministry of vehicle, infrastructure and transport. Guidelines for calculation procedure and technical standard on seismically isolated structures (in Japanese). Building Center of Japan
Kawashima K, Aizawa K (1986) Modification of earthquake response spectra with respect to damping ratio. Proc. 3rd US National Conference on Earthquake Engineering, Charleston, South Caroline, vol. II
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. doi:10.1016/j.engstruct.2006.06.006
Lin Y, Chang KC (2003) A study on damping reduction factor for buildings under earthquake ground motion. J Struct Eng (ASCE) 129(2): 206–214
Lin YY, Miranda E, Chang KC (2005) Evaluation of damping reduction factors for estimating elastic response of structures with high-damping. Earthquake Eng Struct Dynam 34(9): 375–388
Naeim F, Kelly JM (1999) Design of seismic isolated structures. Wiley, Chichester, UK
Naeim F, Kircher CA (2001) On the damping adjustment factors for earthquake response spectra. Struct Des Tall Build 10: 361–369. doi:10.1002/tal.180
Newmark NM, Hall WJ (1973) Seismic design criteria for nuclear reactor facilities. Report No. 46, Building Practices for Disaster Mitigation, National Bureau of Standards, US Department of Commerce
Newmark NM, Hall WJ (1982) Earthquake spectra and design EERI monograph series. Earth Eng Research Inst, Oakland, CA
NEHRP (2000) Recomended provisions for seismic regulations for newbuildings and other structures. Federal Emergency Management Agency, Washington, DC
OPCM 3274 (2003) Ordinanza del Presidente del Consiglio dei Ministri n° 3274, Primi elementi in materia di criteri generali per la classificazione sismica del territorio nazionale e di normative tecniche per le costruzioni in zona sismica, Roma
Priestley MJN (2003) Myths and fallacies in earthquake engineering, revisited. IUSS Press, Pavia (Italy)
Ramirez OM, Constantinou MC, Whittaker AS, Kircher CA, Chrysostomou CZ (2002) Elastic and inelastic seismic response of buildings with damping systems. Earthq Spectra 18(3): 531–547. doi:10.1193/1.1509762
Shibata A, Sozen M (1976) Substitute-structure method for seismic design in RC. J Struct Div 102: 1–18
SSN (1998) Presidenza del Consiglio Superiore dei LL.PP.—Servizio Tecnico Centrale, Linee guida italiane per la progettazione, esecuzione e collaudo di strutture isolate dal sisma, Roma
Tolis SV, Faccioli E (1999) Displacement design spectra. J Earthquake Eng 3: 107–125. doi:10.1142/S1363246999000065
UBC (1994) Uniform Building Code. International Conference of Building Officials, Whittier, CA
UBC (1997) Uniform Building Code. International Conference of Building Officials, Whittier, CA
Wu JP, Hanson RD (1989) Inelastic response spectra with high-damping. J Struct Div 115(6): 1412–1431
Zhou F, Wenguang, L, Xu Z (2003) State of the art on applications, R&D and design rules for seismic isolation in China. In: Proc. 8th world seminar on seismic isolation, energy dissipation and active vibration control of structures, Yerevan, Armenia, 2003
Author information
Authors and Affiliations
Corresponding author
Rights and permissions
About this article
Cite this article
Cardone, D., Dolce, M. & Rivelli, M. Evaluation of reduction factors for high-damping design response spectra. Bull Earthquake Eng 7, 273–291 (2009). https://doi.org/10.1007/s10518-008-9097-y
Received:
Accepted:
Published:
Issue Date:
DOI: https://doi.org/10.1007/s10518-008-9097-y