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Fragility curves for masonry structures submitted to permanent ground displacements and earthquakes

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Abstract

Usually, the vulnerability of structures is treated considering only one single hazard, for example either seismic hazard or ground instability. However, historical monuments, cultural heritage structures or old masonry structures can be affected, over the past centuries of existence, by a succession of different hazards. The objective of this paper was to quantify the changes in the seismic vulnerability of a given structure previously damaged by quasi-static differential settlements. In view of this, a soil-structure model of the masonry building is constructed using TREMURI software by putting springs at the base of the building to account for the soil behaviour. Classical empirical relationships are used for setting the mechanical properties of these foundation springs. The chosen equations are valid for both static and dynamic situations. The soil-structure model is first submitted to differential settlements with maximum magnitudes ranging from 5 to 25 cm. Then, the damaged structures are submitted to a set of time-histories. Fragility curves taking into consideration permanent differential settlements are finally obtained, using a modified regression technique accounting for the presence of residual drift due to the prior static loading.

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References

  • Alcaraz Tarragüel A, Krol B, van Westen C (2012) Analysing the possible impact of landslides and avalanches on cultural heritage in Upper Svaneti, Georgia. J Cult Herit 13(4):453–461. doi:10.1016/j.culher.2012.01.012

    Article  Google Scholar 

  • Ambraseys NN, Douglas J, Sigbjörnsson R, Berge-Thierry C, Suhadolc P, Costa G, Smit PM (2004) Dissemination of European strong-motion data, vol. 2 using strong-motion datascape navigator. CD-ROM collection, engineering and physical Sciences Research Council, UK

  • Bini M, Fornaciari A, Ribolini A, Bianchi A, Sartini S, Coschino F (2010) Medieval phases of settlement at Benabbio castle, Apennine Mountains, Italy: evidence from ground penetrating radar survey. J Archaeol Sci 37:3059–3067

    Article  Google Scholar 

  • Bosiljkov V, Bokan-Bosiljkov V, Strah B, Velkavrh J, Cotič P, Cattari S, Lagomarsino S, Ginanni Corradini R, Piovanello V (2011) Review of innovative techniques for the knowledge of cultural assets, PERPETUATE (EU-FP7 Research Project), Deliverable D6. www.perpetuate.eu/final-results/reports/

  • Bosiljkov V, Kržan M, Gostič S, Cattari S (2013, Submitted) In-situ and laboratory tests for the knowledge of masonry historical constructions: proposal of a testing procedure and reference parameters. Bull Earthq Eng, PERPETUATE special issue

  • Cattari S, Karatzetzou A, DegliAbbati S, Gkoktsi K, Pitilakis D, Negulescu C (2013) Performance based assessment of the Arsenal de Milly of the mediavel city of Rhodes. In: Papadrakakis M, Papadopoulos V, Plevris V (eds) 4th ECCOMAS thematic conference on computational methods in structural dynamics and earthquake engineering, Kos Island, Greece

  • CEN EN 1997-1 (2005) Eurocode 7: geotechnical design, part 1: general rules

  • CEN EN 1998-3 (2005) Eurocode 8: design of structures for earthquake resistance, part 3: strengthening and repair of buildings

  • Chiou B, Darragh R, Gregor N, Silva W (2008) NGA project strong-motion database. Earthq Spectra 24:23–44

    Article  Google Scholar 

  • Cigna F, Del Ventisette C, Gigli G, Menna F, Agili F, Liguori V, Casagli N (2012) Ground instability in the old town of Agrigento (Italy) depicted by on-site investigations and persistent scatterers data. Nat Hazards Earth Syst Sci 12:3589–3603. doi:10.5194/nhess-12-3589-2012

    Article  Google Scholar 

  • Cuadra C, Karkee MB, Tokeshi K (2008) Earthquake risk to Inca’s historical constructions in Machupicchu. Adv Eng Softw 39:336–345

    Article  Google Scholar 

  • De Michele M, Raucoules D, Negulescu C (2011), Surface deformation on the historical centre of the city of Rhodes based on radar interferometric techniques. In: Joint international symposium on deformation monitoring Hong-Kong. http://hal-brgm.archives-ouvertes.fr/hal-00615450

  • Fotopoulou SD, Pitilakis KD (2013) Vulnerability assessment of reinforced concrete buildings subjected to seismically triggered slow-moving earth slides. Landslides 10(5):563–582. doi:10.1007/s10346-012-0345-5

  • Gazetas G (1991) Formulas and charts for impedances of surface and embedded foundations. J Geotech Eng, vol 117, No. 9, Paper No. 26172, pp 1363–1381

  • Gehl P, Douglas J, Seyedi DM (2013) Influence of the number of dynamic analyses on the accuracy of structural response estimates. Earthq Spectra. doi:10.1193/102912EQS320M

    Google Scholar 

  • Gigli G, Mugnai F, Leoni L, Casagli N (2009) Brief communication: “Analysis of deformations in historic urban areas using terrestrial laser scanning”. Nat Hazards Earth Syst Sci 9:1759–1761

    Article  Google Scholar 

  • Gigli G, Frodella W, Mugnai F, Tapete D, Cigna F, Fanti R, Intrieri E, Lombardi L (2012) Instability mechanisms affecting cultural heritage sites in the Maltese Archipelago. Nat Hazards Earth Syst Sci 12:1883–1903

    Article  Google Scholar 

  • Grunthal G (1998) European Macroseismic Scale (EMS-98), vol 15. Centre Européen de Géodynamique et de Séismologie, Luxembourg

    Google Scholar 

  • Lagomarsino S, Modaressi H, Pitilakis K, Bosjlikov V, Calderini C, D’Ayala D, Benouar D, Cattari S (2010) PERPETUATE Project: the proposal of a performance-based approach to earthquake protection of cultural heritage. Adv Mater Res 133–134:1119–1124

    Article  Google Scholar 

  • Lagomarsino S, Cattari S (2013, Submitted) Seismic performance based assessment of cultural heritage masonry structures: PERPETUATE procedure. Bull Earthq Eng, PERPETUATE special issue

  • Lagomarsino S, Penna A, Galasco A, Cattari S (2012) TREMURI program: seismic analyses of 3D masonry buildings, release 2.0, University of Genoa, Italy (mailto: tremuri@gmail.com)

  • Lagomarsino S, Penna A, Galasco A, Cattari S (2013) TREMURI program: an equivalent frame model for the nonlinear seismic analysis of masonry buildings. Eng Struct 56:1787–1799

    Article  Google Scholar 

  • Lemos JV (2007) Discrete element modeling of masonry structures. Int J Arch Herit 1(2):190–213

    Article  Google Scholar 

  • Loli M, Anastasopoulos I, Gazetas G, Cattari S, Degli Abbati S, Lagomarsino S (2012) Response of historic masonry structures to tectonic ground displacements. In: Proceedings of the 14th world conference on earthquake engineering (14WCEE), Beijing, China, October 12–17, 2008

  • Milutinovic Z, Trendafiloski G (2003) WP4: vulnerability of current buildings. Tech rep, Risk-UE: an advanced approach to earthquake risk scenarios with applications to different European towns, European Commission

  • Negulescu C, Foerster E (2010) Parametric studies and quantitative assessment of the vulnerability of a RC frame building exposed to differential settlements. Nat Hazards Earth Syst Sci 10:1781–1792. doi:10.5194/nhess-10-1781-2010

    Article  Google Scholar 

  • Pitilakis K, Sextos A, Manousou-Ntella K, Galazoula I (2007) Restoration of the hospitaller “Arsenal de Milly” in the medieval town of Rhodes. World Scientific Congress: 15 years of restoration works at the Medieval Town of Rhodes, Ministry of Culture

  • Ramos LF, Lourenço PB, Costa AC (2005) Operational modal analysis for damage detection of a masonry construction. In: Proceedings of 1st international operational modal analysis conference, Copenhagen, Denmark, pp 495–502

  • Réveillère A, Gehl P, Seyedi DM, Modaressi H (2012) Development of seismic fragility curves for mainshock-damaged reinforced concrete structures. In: Proceedings 15th world conference of earthquake engineering (WCEE), Lisbon, Portugal

  • Seyedi DM, Gehl P, Douglas J, Davenne L, Mezher N, Ghavamian S (2010) Development of seismic fragility surfaces for reinforced concrete buildings by means of nonlinear time-history analysis. Earthq Eng Struct Dyn 39:91–108. doi:10.1002/eqe.939

    Google Scholar 

  • Syrmakezis CA (2006) Seismic protection of historical structures and monuments. Struct Control Health Monit 13:958–979. doi:10.1002/stc.89

    Article  Google Scholar 

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Acknowledgments

The results presented in this paper have been achieved within the project PERPETUATE (www.perpetuate.eu), co-funded by the European Commission within the Seventh Framework Programme (FP7/2007-2013), under Grant agreement no 244229. The authors wish to thank Dr Serena Cattari and Prof. Sergio Lagomarsino (University of Genoa) for providing the numerical model of the test structure, Dr John Douglas from BRGM for his help in the selection of the ground motion records used in the present study and Prof. Kyriazis Pitilakis (Technical University of Thessaloniki) for providing the plans that have been used by our team for illustrating Fig. 1. The authors are also very grateful to Dr Ken Tokeshi and an anonymous reviewer for their detailed reviews of a previous version of this article, which significantly improved the study.

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Negulescu, C., Ulrich, T., Baills, A. et al. Fragility curves for masonry structures submitted to permanent ground displacements and earthquakes. Nat Hazards 74, 1461–1474 (2014). https://doi.org/10.1007/s11069-014-1253-x

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  • DOI: https://doi.org/10.1007/s11069-014-1253-x

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