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A numerical study on seismic risk assessment of historic masonry towers: a case study in San Gimignano

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Abstract

After a brief introduction on the research project RiSEM (Seismic Risk of Monumental Buildings), the paper discusses on the seismic assessment of historic masonry towers according to the Italian “Guidelines for the assessment and mitigation of the seismic risk of the cultural heritage” that identifies an analysis methodology based on three different levels of evaluation, according to an increased knowledge of the structure. The RiSEM project aimed at developing and testing innovative and expeditious methodologies (i.e. either without or with a minimal direct contact with the masonry building) to evaluate all the main structural features of the monumental buildings required for the assessment of their seismic safety. As a relevant case study the “Town of Fine Towers”, San Gimignano (Italy), listed under the UNESCO World Cultural Heritage Sites, was selected. The paper summarizes the analyses performed on one of the San Gimignano towers: the Coppi-Campatelli one. The seismic vulnerability of the tower was evaluated with reference to the above guidelines, and the paper reports and critically compares the results obtained for the three levels of evaluation there defined: LV1 (analysis at territorial level), LV2 (local analysis) and LV3 (global analysis).

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References

  • Anthoine A, Pegon P (1996) Numerical analysis and modelling of the damage and softening of brick masonry. In: Bull JW (ed) Numerical analysis and modelling of composite materials. Springer, New York, pp 152–184

    Chapter  Google Scholar 

  • Anzani A, Binda L, Carpinteri A, Invernizzi S, Lacidogna G (2010) A multilevel approach for the damage assessment of historic masonry towers. J Cult Herit 11(4):459–470

    Article  Google Scholar 

  • ATC 40 (1996) Seismic evaluation and retrofit of concrete building. Applied Technology Council, Redwood City

  • Bartoli G, Betti M (2011a) Il progetto RiSEM: rischio sismico negli edifici monumentali. In: Workshop on design for rehabilitation of masonry structures, Firenze, 10–11 Nov 2011, pp 221–230 (in Italian)

  • Bartoli G, Betti M (2011b) The RISEM project: seismic risk of monumental buildings. In: Proceedings of the 5th International Congress “Science and Technology for the Safeguard of Cultural Heritage in the Mediterranean Basin”, vol II, Istanbul, Turkey, 22–25 Nov 2011, pp 169–176

  • Bartoli G, Betti M, Spinelli P, Tordini B (2006) An ‘innovative’ procedure for assessing the seismic capacity of historical tall buildings: the ‘Torre Grossa’ masonry tower. In: Proceeding of the V international conference on structural analysis of historical constructions, SAHC 2006, New Delhi, 6–8 November, pp 929–937

  • Bartoli G, Betti M, Biagini P, Borghini A, Caccetta C, Ciavattone A, Del Monte E, Facchini L, Marra AM, Orlando M, Ortolani B, Salvatori L, Spinelli P, Vignoli A (2011) Analisi pushover di una parete in muratura: modellazioni a confronto. In: Workshop on design for rehabilitation of masonry structures, Firenze, 10–11 Nov 2011, pp 432–445 (in Italian)

  • Bartoli G, Betti M, Giordano S (2013) In situ static and dynamic investigations on the “Torre Grossa” masonry tower. Eng Struct 52:718–733

    Article  Google Scholar 

  • Bartoloni V, Borghini G, Mennucci A (2003) San Gimignano. Contributi per una nuova storia. Arti Grafiche Nencini, Certaldo (in Italian)

    Google Scholar 

  • Bernardeschi K, Padovani C, Pasquinelli G (2004) Numerical modelling of the structural behaviour of Buti’s bell tower. J Cult Herit 5:371–378

    Article  Google Scholar 

  • Betti M, Vignoli A (2011) Numerical assessment of the static and seismic behaviour of the Basilica of Santa Maria all’Impruneta (Italy). Constr Build Mater 25(12):4308–4324

    Article  Google Scholar 

  • Betti M, Bartoli G, Corazzi R, Kovačević V (2012). Strumenti Open Source per l’ingegneria strutturale. Modellazione meccanica non lineare di edifici in muratura. Bollettino degli Ingegneri, Collegio Ingegneri della Toscana, LX(12), pp 3–15 (in Italian)

  • Betti M, Galano L, Vignoli A (2014) Comparative analysis on the seismic behaviour of unreinforced masonry buildings with flexible diaphragms. Eng Struct 2014(61):195–208

    Article  Google Scholar 

  • Binda L, Zanzi L, Lualdi M, Condoleo P (2005) The use of georadar to assess damage to a masonry bell tower in Cremona, Italy. NDT and E Int 38(3):171–179

    Article  Google Scholar 

  • Carpinteri A, Invernizzi S, Lacidogna G (2006) Numerical assessment of three medieval masonry towers subjected to different loading conditions. Mason Int 19:65–76

    Google Scholar 

  • Casolo S (1998) A three dimensional model for vulnerability analyses of slender masonry Medieval towers. J Earthq Eng 2(4):487–512

    Google Scholar 

  • Casolo S, Milani G, Uva G, Alessandri C (2013) Comparative seismic vulnerability analysis on ten masonry towers in the coastal Po Valley in Italy. Eng Struct 49:465–490

    Article  Google Scholar 

  • Code_Aster, Open Source—general FEA software. www.code-aster.org

  • D’Ambrisi A, Mariani V, Mezzi M (2012) Seismic assessment of a historical masonry tower with nonlinear static and dynamic analyses tuned on ambient vibration tests. Eng Struct 36:210–219

    Article  Google Scholar 

  • Donati R (1975) San Gimignano. Città dalle belle torri. Edizioni Plurigraf, Narni (in Italian)

    Google Scholar 

  • DPCM2011 (2011) Direttiva del Presidente del Consiglio dei Ministri per la valutazione e riduzione del rischio sismico del patrimonio culturale con riferimento alle NTC 2008. G. U. n. 47 del 26.02.2011 (in Italian)

  • EUROCODE 8 (2002) Design of structures for earthquake resistance of structures. CEN, European Committee of standardisation, Brussels

  • Facchini L, Betti M (2014) An efficient Bouc & Wen approach for seismic analysis of masonry tower. Fract Struct Integr 29:139–149

    Google Scholar 

  • Facchini L, Betti M (2015) Simplified seismic analysis of disordered masonry towers. ASCE-ASME J Risk Uncertain Eng Syst Part A Civ Eng. doi:10.1061/AJRUA6.0000856

    Google Scholar 

  • Fajfar P, Gaspersic P (1996) The N2 method for the seismic damage analysis of RC buildings. Earthq Eng Struct Dyn 25:31–46

    Article  Google Scholar 

  • FEMA 273 (1997) Guidelines for seismic rehabilitation of buildings. Building Seismic Safety Council, Federal Emergency Management Agency, Washington

  • Fusco E, Penna A, Prota A, Galasco A, Manfredi G (2008) Seismic assessment of historical natural stone masonry buildings through non-linear analysis. In: Proceedings of the 14th world conference on earthquake engineering, 12–17 Oct 2008, Beijing, China

  • Gentile C, Saisi A (2007) Ambient vibration testing of historic masonry towers for structural identification and damage assessment. Constr Build Mater 21(6):1311–1321

    Article  Google Scholar 

  • Ginovart JL, Costa A, Fortuny G (2013) Assessment and restoration of a masonry dome in the cathedral of Tortosa enclosure. In: Proceedings of the XIII International Congress “Structural Studies, Repairs and Maintenance of Heritage Architecture”, Coruna, Spain, 13–15 July 2015. doi:10.2495/STR130331

  • Girardi M, Padovani C, Pagni A, Pasquinelli G (2010) Numerical modeling of masonry towers: the case study of the Rognosa Tower in San Gimignano. In: Zingoni A (ed) Proceedings of the fourth international conference on structural engineering, mechanics and computation. CRC Press/Balkema, AK Leiden, pp 993–996

  • Heyman J (1995) The stone skeleton. CUP, Cambridge

    Book  Google Scholar 

  • Ivorra S, Pallares FJ (2006) Dynamic investigations on a masonry bell tower. Eng Struct 28(5):660–667

    Article  Google Scholar 

  • Ivorra S, Pallarés FJ, Adam JM (2009) Experimental and numerical results from the seismic study of a masonry bell tower. Adv Struct Eng 12(2):287–293

    Article  Google Scholar 

  • Ivorra S, Pallares FJ, Adam JA, Tomas T (2010) An evaluation of the incidence of soil subsidence on the dynamic behaviour of a Gothic bell tower. Eng Struct 32(8):2318–2325

    Article  Google Scholar 

  • Júlio ENBS, da Silva Rebelo CA, Dias-da-Costa DASG (2008) Structural assessment of the tower of the University of Coimbra by modal identification. Eng Struct 30(12):3468–3477

    Article  Google Scholar 

  • Lagomarsino S (2011) Valutazione della sicurezza sismica del patrimonio architettonico in muratura. In: Atti del XIV Congresso Nazionale L’Ingegneria Sismica in Italia, Bari, 18–22 Sept 2011 (in Italian)

  • Lucchesi M, Pintucchi B (2007) A numerical model for non-linear dynamic analysis of slender masonry structures. Eur J Mech A Solids 26(1):88–105

    Article  Google Scholar 

  • Mazars JM (1984) Application de la Mécanique de l’endommagementaucomportement non linéaire et à la rupturedubéton de structure. Thèse de Doctorat d’état, Univ. Paris VI

  • Mazars JM, Pijaudier-Cabot G (1989) Continuum damage theory. Application to concrete. J Eng Mech 115(2):345–365

    Article  Google Scholar 

  • Milani G, Casolo S, Naliato A, Tralli A (2012) Seismic assessment of a medieval masonry tower in Northern Italy by limit, non-linear static and full dynamic analyses. Int J Archit Herit 6(5):489–524

    Article  Google Scholar 

  • Miranda E, Bertero VV (1994) Evaluation of strength reduction factor for earthquake resistant design. Earthq Spectra 10:357–379

    Article  Google Scholar 

  • NTC 2008 (2008) Nuove Norme Tecniche per le Costruzioni, G.U. n. 29, 4 Febbraio 2008, S.O. n. 30. D.M. del Ministero delle Infrastrutture e dei Trasporti 14 Gennaio 2008 (in Italian)

  • NTC-Instructions (2009) Istruzioni per l’applicazione delle “Nuove norme tecniche per le costruzioni” di cui al D.M. del 14/01/2008, G.U. n. 47, 26 Febbraio 2009, S.O. n. 27. Circolare del Ministero delle Infrastrutture 2 Febbraio 2009 (in Italian)

  • Parenti R, Mennucci A, Arrighetti A (2011) Palazzo e Torre Campatelli in San Gimignano. Analisi Storica Dell’edificio, Fondo Ambiente Italiano (FAI), Milan (in Italian)

    Google Scholar 

  • Peña F, Lourenço PB, Mendez N, Oliveira D (2010) Numerical models for the seismic assessment of an old masonry tower. Eng Struct 32:1466–1478

    Article  Google Scholar 

  • Pieraccini M, Dei D, Betti M, Bartoli G, Tucci G, Guardini N (2014) Dynamic identification of historic masonry towers through an expeditious and no-contact approach: application to the “Torre del Mangia” in Siena (Italy). J Cult Herit 15(3):275–282

    Article  Google Scholar 

  • Rainieri C, Fabbrocino G (2011) Il periodo elastico delle torri in muratura: correlazioni empiriche per la previsione. In: XIV Congresso Nazionale L’Ingegneria Sismica in Italia, Bari, 18–22 Sept 2011 (in Italian)

  • Ramos LF, Marques L, Lourenço PB, De Roeck G, Campos-Costa A, Roque J (2010) Monitoring historical masonry structures with operational modal analysis: two case studies. Mech Syst Signal Process 24(5):1291–1305

    Article  Google Scholar 

  • Russo G, Bergamo O, Damiani L, Lugato D (2010) Experimental analysis of the Saint Andrea Masonry Bell Tower in Venice. A new method for the determination of Tower Global Young’s Modulus E. Eng Struct 32(2):353–360

    Article  Google Scholar 

  • Sepe V, Speranza E, Viskovic A (2008) A method for large-scale vulnerability assessment of historic tower. Struct Control Health Monit 15(3):389–415

    Article  Google Scholar 

  • Vidic T, Fajfar P, Fischinger M (1994) Consistent inelastic design spectra: strength and displacement. Earthq Eng Struct Dyn 23:502–521

    Article  Google Scholar 

Download references

Acknowledgments

The authors kindly acknowledge the Region of Tuscany that financially supported the research (theme PAR FAS 2007–2013—CIPE n°166/2007—line 1.1.a.3: Science and Technology for the preservation and enhancement of cultural heritage).

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Correspondence to Michele Betti.

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Bartoli, G., Betti, M. & Vignoli, A. A numerical study on seismic risk assessment of historic masonry towers: a case study in San Gimignano. Bull Earthquake Eng 14, 1475–1518 (2016). https://doi.org/10.1007/s10518-016-9892-9

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  • DOI: https://doi.org/10.1007/s10518-016-9892-9

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