Abstract
Resonance period is a key parameter in the seismic design of a structure, thus dynamic parameters of buildings in Beirut (Lebanon) were investigated based on ambient vibration method for risk and vulnerability assessment. Lebanon is facing high seismic hazard due to its major faults, combined to a high seismic risk caused by dense urbanization in addition to the lack of a seismic design code implementation. For this study, ambient vibration recordings have been performed on 330 RC buildings, period parameters extracted and statistically analyzed to identify correlations with physical building parameters (height, horizontal dimensions, age) and site characteristics (rock sites or soft sites). The study shows that (1) the building height or number of floors (N) is the primary statistically robust parameter for the estimation of the fundamental period T; (2) the correlation between T and N is linear and site dependent: T ≈ N/23 for rock sites and N/18 for soft sites; (3) the measured damping is inversely proportional to the period: the taller the building the lower is the damping; (4) a significant overestimation of the period exists in current building codes. However part of the large discrepancy with building code recommendations may be due to the very low level of loading.
Similar content being viewed by others
References
Al-Nimry H, Resheidat M, Al-Jamal M (2014) Ambient vibration testing of low and medium rise infilled RC frame buildings in Jordan. Soil Dyn Earthq Eng 59:21–29
ANR libris. Isterre.fr/annuaire/pages-web-du- personnel/christophe-voisin/article/projet-libris, 2010–2014
Applied Technology Council (1978) Tentative provisions for the development of seismic regulations for buildings. Report No. ATC3-06, Applied Technology Council, Palo Alto, CA
Asten MW (1978) Geological control on the three-component spectra of rayleigh-wave microseisms. Bull Seismol Soc Am 68(6):1623–1636
Asten M, Henstridge J (1984) Array estimators and the use of microseisms for reconnaissance of sedimentary basins. Geophysics 49(11):1828–1837
Bard P-Y, Afra H, Argoul P (1992) Dynamic behaviour of buildings: experimental results from strong motion data. In Recent advances in earthquake engineering and structural dynamics, ouest editions, pp 441–478
Bonnefoy-Claudet S, Cotton F, Bard P-Y (2006) The nature of noise wavefield and its applications for site effects studies: a literature review. Earth Sci Rev 79(3):205–227
Boutin C, Ibraim E, Hans S, Roussillon P (2001) Etude expérimentale sur bâtiments réels. Rapport définitif, AFPS/MATE
Brax M (2013) Aléa et microzonage sismiques à Beyrouth. PhD thesis, Université Joseph-Fourier-Grenoble I
Brazee RJ, Cloud WK (1984) United States Earthquakes, 1956, open-file report 84-956
Building Standard Law of Japan (BSLJ) (2011) The Building Center of Japan, The Building Standard Law of Japan on CD-ROM, August 2011
Carder DS (1937) Observed vibrations of bridges. Bull Seismol Soc Am 27(4):267–303
Caughey T, Stumpf H (1961) Transient response of a dynamic system under random excitation. J Appl Mech 28(4):563–566
Celebi M (1996) Comparison of damping in buildings under low-amplitude and strong motions. J Wind Eng Ind Aerodyn 59(2):309–323
Chatelain J-L, Guéguen P, Guillier B, Frechet J, Bondoux F, Sarrault J, Sulpice P, Neuville J-M (2000) CityShark: a user-friendly instrument dedicated to ambient noise (microtremor) recording for site and building response studies. Seismol Res Lett 71(6):698–703
Chiauzzi L, Masi A, Mucciarelli M, Cassidy J, Kutyn K, Traber J, Ventura C, Yao F (2012) Estimate of fundamental period of reinforced concrete buildings: code provisions vs. experimental measures in Victoria and Vancouver (BC, Canada). In: Proceedings of the 15th world conference on earthquake engineering, paper reference, vol 3033
Clinton JF, Bradford SC, Heaton TH, Favela J (2006) The observed wander of the natural frequencies in a structure. Bull Seismol Soc Am 96(1):237–257
Cornou C, Brax M, Salloum N, Rahhal ME, Harakeh F, Harb J et al. (2014). Shear-wave velocity structure and correlation with n-spt values in different geological formations in Beirut, Lebanon. In: Second European conference on earthquake engineering and seismology
Crowley H, Pinho R (2004) Period-height relationship for existing European reinforced concrete buildings. J Earthquake Eng 8(spec01):93–119
Crowley H, Pinho R (2010) Revisiting Eurocode 8 formulae for periods of vibration and their employment in linear seismic analysis. Earthquake Eng Struct Dynam 39(2):223–235
Daëron M, Klinger Y, Tapponnier P, Elias A, Jacques E, Sursock A (2007) 12,000-year-long record of 10 to 13 paleoearthquakes on the Yammouneh fault, Levant Fault System, Lebanon©. Bull Seismol Soc Am 97(3):749–771
Ditommaso R, Vona M, Gallipoli M, Mucciarelli M (2013) Evaluation and considerations about fundamental periods of damaged reinforced concrete buildings. Nat Hazards Earth Syst Sci 13(7):1903–1912
Dubertret L (1945) Géologie du site de Beyrouth avec carte géologique au 1/20.000, 1945
Dunand F (2005) Pertinence du bruit de fond sismique pour la caractérisation dynamique et l’aide au diagnostic sismique des structures de génie civil. PhD thesis, Université Joseph-Fourier-Grenoble I
Dunand F, Bard P-Y, Chatelain J, Guéguen P, Vassail T, Farsi M (2002) Damping and frequency from randomdec method applied to in situ measurements of ambient vibrations. Evidence for effective soil structure interaction. In: 12th European conference on earthquake engineering, London
Dunand F, Ait Meziane Y, Guéguen P, Chatelain J-L, Guillier B, Ben Salem R, Hadid M, Hellel M, Kiboua A, Laouami N (2004) Utilisation du bruit de fond pour l’analyse des dommages des bâtiments de Boumerdes suite au séisme du 21 mai 2003. Mémoires du Service Géologique de l’Algérie, 12:177–191
Elias A, Tapponnier P, Singh SC, King GC, Briais A, Daëron M, Carton H, Sursock A, Jacques E, Jomaa R (2007) Active thrusting offshore Mount Lebanon: source of the tsunamigenic ad 551 Beirut–Tripoli earthquake. Geology 35(8):755–758
Enomoto T, Navarro M, Sánchez F, Vidal F, Seo K, Luzón F, García J, Martín J, Romacho M (1999) Evaluación del comportamiento de los edificios en Almería mediante el análisis del ruido ambiental. 1a Asamblea Hispano-Lusa. Aguadulce, Almería, Spain
Enomoto T, Schmitz M, Abeki N, Masaki K, Navarro M, Rocavado V, Sanchez A (2000) Seismic risk assessment using soil dynamics in Caracas. Venezuela. 12th WCEE, CD-ROM
Espinoza F (1999) Determinación de características dinámicas de estructuras. PhD thesis, Universidad Politécnica de Catalunya
Eurocode 8 (2004) Design of structures for earthquake resistance—part 1: general rules, seismic actions and rules for buildings, European Committee for Standardization (CEN), EN 1998-1. www.eurocodes.jrc.eceuropa.eu/. Last accessed Feb 2016
Fardis MN, Carvalho E, Alnashai A, Faccioli E, Pinto P, Plumier A (2009) Designers’ guide to EN 1998-1 and 1998-5. Eurocode 8: design provisions for earthquake resistant structures. Thomas Telford Limited, London
Farrar CR, Doebling SW, Nix DA (2001) Vibration-based structural damage identification. Philos Trans R Soc Lond Ser A Math Phys Eng Sci 359(1778):131–149
Farsi MN (1996) Identification des structures de Génie Civil à partir de leurs réponses vibratoires et vulnérabilité du bâti existant. PhD thesis, Springer, Netherlands
Farsi MN, Bard P-Y (2004) Estimation des périodes propres de bâtiments et vulnérabilité du bâti existant dans l’agglomération de Grenoble. Revue Française de Génie Civil 8(2–3):149–179
Farsi MN, Guillier B, Chatelain J-L, Zermout S-A (2009) Retrofitting and strengthening evaluation from stiffness variations of a damaged building from ambient vibration recordings. In: Increasing seismic safety by combining engineering technologies and seismological data. Springer, pp 227–238
FEMA (1999) HAZUS 99 – Earthquake loss estimation methodology. Technical Manual, Federal Emergency Management Agency, Washington, DC
Gallipoli MR, Mucciarelli M, Vona M (2009) Empirical estimate of fundamental frequencies and damping for Italian buildings. Earthquake Eng Struct Dynam 38(8):973–988
Gallipoli M, Mucciarelli M, Šket-Motnikar B, Zupanćić P, Gosar A, Prevolnik S, Herak M, Stipčević J, Herak D, Milutinović Z (2010) Empirical estimates of dynamic parameters on a large set of European buildings. Bull Earthq Eng 8(3):593–607
Gates W, Foth V (1978) Building period correlation. Report to the applied technology council, Palo Alto
Gilles D, McClure G (2008) Development of a period database for buildings in Montreal using ambient vibrations. In: Proceedings of the 14th world conference on earthquake engineering
Gomez F, Meghraoui M, Darkal AN, Hijazi F, Mouty M, Suleiman Y, Sbeinati R, Darawcheh R, Al-Ghazzi R, Barazangi M (2003) Holocene faulting and earthquake recurrence along the Serghaya branch of the dead sea fault system in Syria and Lebanon. Geophys J Int 153(3):658–674
Guéguen P (2000) Interaction sismique entre le sol et le bâti: de l’Interaction Structure-Sol-Structure à l’Interaction Site-Ville. PhD thesis, Thèse, Université Joseph Fourier, Grenoble
Guillier B, Atakan K, Chatelain JL, Havskov J, Ohrnberger M, Cara F, Duval AM, Zacharopoulos S, Teves-Costa P, SESAME Team (2008) Influence of instruments on the H/V spectral ratios of ambient vibrations. Bull Earthq Eng 6(1):3–31
Guillier B, Chatelain J-L, Tavera H, Perfettini H, Ochoa A, Herrera B (2014) Establishing empirical period formula for RC buildings in Lima, Peru: evidence for the impact of both the 1974 Lima earthquake and the application of the peruvian seismic code on high-rise buildings. Seismol Res Lett 85(6):1308–1315
Guler K, Yuksel E, Kocak A (2008) Estimation of the fundamental vibration period of existing RC buildings in turkey utilizing ambient vibration records. J Earthquake Eng 12(S2):140–150
Gutenberg B (1958) Microseisms. Adv Geophys 5:53–92
Haghshenas E, Bard P-Y, Theodulidis N, Team SW et al (2008) Empirical evaluation of microtremor h/v spectral ratio. Bull Earthq Eng 6(1):75–108
Harb J (2003) Risks of liquefaction in the greater Beirut area. In: Culligan PJ, Einstein HH, Whittle AJ (eds) Soil rock America 2003, 12th Panamerican conference on soil mechanics and geotechnical engineering and 39th U.S. Rock mechanics symposium. VGE, vol 1
Hatzigeorgiou GD, Kanapitsas G (2013) Evaluation of fundamental period of low-rise and mid-rise reinforced concrete buildings. Earthquake Eng Struct Dynam 42(11):1599–1616
Herak M, Herak D (2009) Recent measurements of ambient vibrations in free-field and in buildings in Croatia. In: Coupled site and soil–structure interaction effects with application to seismic risk mitigation. Springer, Netherlands, pp 293–304
Hong L-L, Hwang W-L (2000) Empirical formula for fundamental vibration periods of reinforced concrete buildings in Taiwan. Earthquake Eng Struct Dynam 29:327–337
Housner GW, Brady AG (1963) Natural periods of vibration of buildings. J Eng Mech Div 89(4):31–68
Irie Y, Nakamura K (2000) Dynamic characteristics of an RC building of five stories based on microtremor measurements and earthquake observations. In: 12th world conference of earthquake engineering (WCEE), Auckland, Australia
Khair K, Karakaisis G, Papadimitriou E (2000) Seismic zonation of the Dead Sea transform fault area. Ann Geophys 43(1):61–79
Kobayashi H, Midorikawa S, Tanzawa H, Matsubara M (1987) Development of portable measurement system for ambient vibration test of building. J Struct Constr Eng Trans Arch Inst of Jpn 378:48–56
Kobayashi H, Vidal F, Feriche D, Samano T, Alguacil G (1996) Evaluation of dynamic behaviour of building structures with microtremors for seismic microzonation mapping. In: The 11th WCEE, Acapulco, Mexico
Konno K, Ohmachi T (1998) Ground-motion characteristics estimated from spectral ratio between horizontal and vertical components of microtremor. Bull Seismol Soc Am 88(1):228–241
Lachet C, Bard P-Y (1994) Numerical and theoretical investigations on the possibilities and limitations of Nakamura’s technique. J Phys Earth 42(5):377–397
Lagomarsino S (1993) Forecast models for damping and vibration periods of buildings. J Wind Eng Ind Aerodyn 48(2):221–239
Lagomarsino S, Giovinazzi S (2006) Macroseismic and mechanical models for the vulnerability and damage assessment of current buildings. Bull Earthq Eng 4(4):415–443
Lebanese Decree 14293 (2005) Requirements and conditions for buildings, installations, and elevators for the protection against fires and earthquakes. http://www.doingbusiness.org/law-library/lebanon
Lebanese Decree 646 (2004) The Official Gazette, No. 66, 12007–12034. http://www.lp.gov.lb/Temp/Files/663b0c63-4584-4654-894b-ee73c0cc9f98.doc. Last accessed Feb 2016
Lee L-H, Chang K-K, Chun Y-S (2000) Experimental formula for the fundamental period of RC buildings with shear-wall dominant systems. Struct Des Tall Build 9(4):295–307
Luco J, Trifunac M, Wong H (1987) On the apparent change in dynamic behavior of a nine-story reinforced concrete building. Bull Seismol Soc Am 77(6):1961–1983
McVerry GH, Beck JL (1983) Structural identification of JPL building 180 using optimally synchronized earthquake records. Report No EERL 83-01, Pasadena, California
Meli R, Faccioli E, Murià-Vila D, Quaas R, Paolucci R (1998) A study of site effects and seismic response of an instrumented building in Mexico City. J Earthquake Eng 2(01):89–111
Messele H, Tadese K (2002) The study of seismic behaviour buildings located on different site in Addis Ababa (Ethiopia) by using microtremors and analytical procedure. Joint study on microtremors and seismic microzonation in earthquake countries. In: Workshop to exchange research information, Hakone-Gora, Kanagawa, Japan
Michel C (2007) Vulnérabilité Sismique de l’échelle du bâtiment à celle de la ville-Apport des techniques expérimentales in situ-Application à Grenoble. PhD thesis, Université Joseph-Fourier-Grenoble I
Michel C, Guéguen P (2010) Time–frequency analysis of small frequency variations in civil engineering structures under weak and strong motions using a reassignment method. Struct Health Monit 9(2):159–171
Michel C, Guéguen P, Lestuzzi P, Bard P-Y (2010) Comparison between seismic vulnerability models and experimental dynamic properties of existing buildings in France. Bull Earthq Eng 8(6):1295–1307
Midorikawa S, Jigyodan KK (1990) Ambient vibration tests of buildings in Santiago and Vinã del Mar. Departamento de Ingeniería Estructural, Pontificia Universidad Católica de Chile
Mikael A, Guéguen P, Bard P-Y, Roux P, Langlais M (2013) The analysis of long-term frequency and damping wandering in buildings using the random decrement technique. Bull Seismol Soc Am 103(1):236–246
Milutinovic ZV, Trendafiloski GS (2003) Wp4: vulnerability of current buildings. RISK-UE project of the EC: an advanced approach to earthquake risk scenarios with applications to different European towns
Mucciarelli M, Gallipoli MR (2001) A critical review of 10 years of microtremor HVSR technique. Boll Geof Teor Appl 42(3–4):255–266
Mucciarelli M, Masi A, Gallipoli MR, Harabaglia P, Vona M, Ponzo F, Dolce M (2004) Analysis of RC building dynamic response and soil-building resonance based on data recorded during a damaging earthquake (Molise, Italy, 2002). Bull Seismol Soc Am 94(5):1943–1953
Nakamura Y (1989) A method for dynamic characteristics estimation of subsurface using microtremor on the ground surface. Railw Tech Res Inst Q Rep 30(1):25–33
National building code of Canada (NBCC) (2005). http://www.nrc-cnrc.gc.ca. Last accessed February 2016
Navarro M, Oliveira CS (2004) Evaluation of dynamic characteristics of reinforced concrete buildings in the city of Lisbon. In: Proceedings of the 4th assembly of the Portuguese–Spanish of geodesy and geophysics, Figueira da Foz, Portugal
Navarro M, Sánchez F, Feriche M, Vidal F, Enomoto T, Iwatate T, Matsuda I, Maeda T (2002) Statistical estimation for dynamic characteristics of existing buildings in Granada, Spain, using microtremors. Struct Dyn Eurodyn 1:807–812
Navarro M, Vidal F, Enomoto T, Alcalá F, Sánchez F, Abeki N (2007) Analysis of site effects weightiness on RC building seismic response. The Adra (Spain) example. Earthquake Eng Struct Dynam 36:1363–1383
Oliveira CS (2004) Actualizaçaõ das bases-de-dados sobre frequências próprias de estruturas de edifícios, pontes, viadutos e passagens de peões a partir de medições expeditas in situ. In: 5th Portuguese conference on earthquake engineering, University of Minho, Guimarães (in Portuguese)
Oliveira CS, Navarro M (2010) Fundamental periods of vibration of RC buildings in Portugal from in situ experimental and numerical techniques. Bull Earthq Eng 8(3):609–642
Pan T-C, Goh KS, Megawati K (2014) Empirical relationships between natural vibration period and height of buildings in Singapore. Earthquake Eng Struct Dynam 43(3):449–465
Priestley M, Calvi G, Kowalsky M (2007) Direct displacement-based seismic design of structures. In: 2007 NZSEE conference
PS92 (1995) Règles de construction parasismique, DTU règles
RPA88 (1988) Règles parasismiques algériennes. Régulation of Algerian Seismic Code, Publication OPU, Algiers,
Ruppert H (1969) Beyrouth, une ville d’Orient marquée par l’Occident. Number 21. Centre d’Etudes de et Recherches sur le Moyen- Orient Contemporain
Salameh C, Mariscal A, Harb J, Bard P-Y, Guillier B, Cornou C, Voisin C (2014) Dynamic properties of Beirut buildings: instrumental results from ambient vibrations. In: 2nd European conference of earthquake engineering and seismology
Salloum N, Jongmans D, Cornou C, Massih DYA, Chehade FH, Voisin C, Mariscal A (2014) The shear wave velocity structure of the heterogeneous alluvial plain of Beirut (Lebanon): combined analysis of geophysical and geotechnical data. Geophys J Int 199(2):894–913
Sanchez F, Navarro M, García J, Enomoto T, Vidal F (2002) Evaluation of seismic effects on buildings structures using microtremor measurements and simulation response. Struct Dyn Eurodyn 2002(2):1003–1008
Satake N, Yokota H (1996) Evaluation of vibration properties of high-rise steel buildings using data of vibration tests and earthquake observations. J Wind Eng Ind Aerodyn 59(2):265–282
Satake N, Suda K-I, Arakawa T, Sasaki A, Tamura Y (2003) Damping evaluation using full-scale data of buildings in Japan. J Struct Eng 129(4):470–477
SIA (2003) Swiss code, actions on structures. Swiss Society of Engineers and Architects
Todorovska MI (2009a) Seismic interferometry of a soil-structure interaction model with coupled horizontal and rocking response. Bull Seismol Soc Am 99(2A):611–625
Todorovska MI (2009b) Soil-structure system identification of millikan library north–south response during four earthquakes (1970–2002): what caused the observed wandering of the system frequencies? Bull Seismol Soc Am 99(2A):626–635
Trifunac MD (1972) Comparisons between ambient and forced vibration experiments. Earthquake Eng Struct Dynam 1(2):133–150
Ulm F, Clément J, Argoul P (1993) Coefficient de comportement: approche chute de fréquence. In: 3ème Colloque National AFPS, vol 2, pp 49–56
Uniform Building Code (UBC) (1997) International conference of building officials, USA
Vidal F, Navarro M, Aranda C, Enomoto T (2014) Changes in dynamic characteristics of Lorca RC buildings from pre-and post-earthquake ambient vibration data. Bull Earthq Eng 12(5):2095–2110
Warnitchai P (2004) Development of seismic design requirements for buildings in Bangkok against the effects of distant large earthquakes. In: Proceedings of the 13th world conference on earthquake engineering, Vancouver
Wathelet M (2008) An improved neighborhood algorithm: parameter conditions and dynamic scaling. Geophys Res Lett. doi:10.1029/2008GL033256
Acknowledgments
This work has been supported by the Libris research program (ANR RiskNat 2009-006) in collaboration between the laboratories ISTerre (Grenoble, France), Lebanese Geophysical Research Center (CRG), Saint-Joseph University of Beirut, Notre Dame University-Louaizé NDU, IPGP, EDYTEM, CETE, and is partially funded by IRD (Institut de Recherche pour le Développement). The authors would like to thank the municipalities of Jdeideh and Bourj Hammoud for their help in the access to the buildings, Jocelyne Gérard, Rita Zaarour and Nada Saliba for making use of the building inventory database and the Labex OSUG@2020 for financial support.
Author information
Authors and Affiliations
Corresponding author
Rights and permissions
About this article
Cite this article
Salameh, C., Guillier, B., Harb, J. et al. Seismic response of Beirut (Lebanon) buildings: instrumental results from ambient vibrations. Bull Earthquake Eng 14, 2705–2730 (2016). https://doi.org/10.1007/s10518-016-9920-9
Received:
Accepted:
Published:
Issue Date:
DOI: https://doi.org/10.1007/s10518-016-9920-9