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On the role played by the openings on the first frequency of historic masonry towers

  • S.I.: 10th IMC conference
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A Correction to this article was published on 13 June 2019

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Abstract

The manuscript provides a wide database for historic masonry towers collecting their modal, mechanical and geometrical features. This large amount of data was collected according to a literature review, then summing up as many as 56 different case studies. The collected data was then used to identify the main physical parameters influencing the modal behaviour of slender masonry towers, including the openings on the façades. After a critical discussion of the data reported in the database, the existing empirical or semi-empirical formulations available for the estimation of the first natural frequency of such structural typology are first evaluated. Subsequently the effects of the openings, as revealed through the analysis of the experimental results reported in the database, are discussed by comparison with a simple but effective numerical model. Despite the difficulties to quantify the effect of the openings along the height of the tower on the main frequency due to a cross-contribution of mass and stiffness, a simple but effective formulation is proposed which is able to account for this parameter.

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  • 13 June 2019

    The mistake to be corrected is the one named “1” in the attached pdf (i.e. to add the subscript ”,e” to the symbol “f1” at the beginning of the second row of Table 8).

References

  • Abruzzese D, Vari A (2004) Vulnerabilità sismica di torri medievali in muratura. In: Proceedings of XI ANIDIS conference. Genova (Italy)

  • ASCE/SEI 7-10 Minimum Design Loads for Buildings and Other Structures. https://doi.org/10.1061/9780784412916

  • Augenti N, Parisi F (2010) Learning from construction failures due to the 2009 L’Aquila, Italy, Earthquake. J Perform Constr Facil 24:536–555. https://doi.org/10.1061/(ASCE)CF.1943-5509.0000122

    Article  Google Scholar 

  • Azzara RM, De Roeck G, Girardi M et al (2018) The influence of environmental parameters on the dynamic behaviour of the San Frediano bell tower in Lucca. Eng Struct 156:175–187. https://doi.org/10.1016/j.engstruct.2017.10.045

    Article  Google Scholar 

  • Bartoli G, Betti M, Giordano S (2013) In situ static and dynamic investigations on the “Torre Grossa” masonry tower. Eng Struct 52:718–733. https://doi.org/10.1016/j.engstruct.2013.01.030

    Article  Google Scholar 

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

    Article  Google Scholar 

  • Bartoli G, Betti M, Marra AM, Monchetti S (2017) Semiempirical formulations for estimating the main frequency of slender masonry towers. J Perform Constr Facil 31:04017025. https://doi.org/10.1061/(ASCE)CF.1943-5509.0001017

    Article  Google Scholar 

  • Bassoli E, Vincenzi L, Bovo M, Mazzotti C (2015) Dynamic identification of an ancient masonry bell tower using a MEMS-based acquisition system. In: Proceedings of the IEEE workshop on environmental, energy, and structural monitoring systems, EESMS, Trento, Italy, pp 226–231

  • Bassoli E, Vincenzi L, D’Altri AM et al (2018) Ambient vibration-based finite element model updating of an earthquake-damaged masonry tower. Struct Control Heal Monit. https://doi.org/10.1002/stc.2150

    Article  Google Scholar 

  • Bayraktar A, Türker T, Sevim B et al (2009) Modal parameter identification of Hagia Sophia bell-tower via ambient vibration test. J Nondestruct Eval 28:37–47

    Article  Google Scholar 

  • Bonato P, Ceravolo R, De Stefano A, Molinari F (2000) Cross-time frequency techniques for the identification of masonry buildings. Mech Syst Signal Process 14:91–109

    Article  Google Scholar 

  • Bongiovanni G, Clemente P, Buffarini G (2000) Analysis of the seismic response of a damaged masonry bell tower. In: Proceedings of the 12th world conference on earthquake engineering, Auckland, New Zealand

  • Borri A, Sisti R, Castori G, et al (2017) Analisi del comportamento di alcuni edifici di culto in Valnerina a seguito del sisma del 2016. In: Proceedings of the XVII ANIDIS conference, Pistoia, Italy

  • Boschi S, Galano L, Vignoli A (2019) Mechanical characterisation of Tuscany masonry typologies by in situ tests. Bull Earthq Eng 17:413–438. https://doi.org/10.1007/s10518-018-0451-4

    Article  Google Scholar 

  • Cantieni R (2014) One year monitoring of a historic bell tower. In: Proceedings in the 9th international conference on structural dynamics, EURODYN, Porto, Portugal

  • Carone AS, Foti D, Giannoccaro NI, Nobile R (2013) Non-desctructive characterization and dynamic identification of an hisotrical bell tower. In: Proceedings in the 4th international conference on integrity, reliability and failure, Funchal, Portugal, pp 1–16

  • Casciati S, Al-Saleh R (2010) Dynamic behavior of a masonry civic belfry under operational conditions. Acta Mech 215:211–224. https://doi.org/10.1007/s00707-010-0343-4

    Article  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. https://doi.org/10.1016/j.engstruct.2012.11.033

    Article  Google Scholar 

  • Castellacci I, Spinelli P, Vignoli A, Galano L (2007) Caratterizzazione dinamica del campanile della pieve di San Cresci a Macioli nei pressi di Pratolino, comune di Vaglia, e progetto di miglioramento sismico. Boll degli Ing 10:21–23

    Google Scholar 

  • Ceriotti M, Mottola L, Picco GP et al (2009) Monitoring heritage buildings with wireless sensor networks: the Torre Aquila deployment. Int Conf Inf Process Sens Networks 2009:277–288. https://doi.org/10.1145/1602165.1602191

    Article  Google Scholar 

  • Ceroni F, Pecce M, Manfredi G (2009) Seismic assessment of the bell tower of santa maria del carmine: problems and Solutions. J Earthq Eng 14:30–56. https://doi.org/10.1080/13632460902988968

    Article  Google Scholar 

  • Clementi F, Pierdicca A, Formisano A et al (2017) Numerical model upgrading of a historical masonry building damaged during the 2016 Italian earthquakes. J Civ Struct Health Monit 7:703–717. https://doi.org/10.1007/s13349-017-0253-4

    Article  Google Scholar 

  • Clementi F, Pierdicca A, Milani G, et al (2018) Numerical model upgrading of ancient bell towers monitored with a wired sensors network. In: Proceedings of the 10th IMC—international masonry conference, 9–11 July 2018, Milano, Italy

  • Colapietro D, Fiore A, Netti A, et al (2013) Dynamic identification and evaluation of the seismic safety of a masonry bell tower in the south of Italy. In: Proceedings in the 4th ECCOMAS thematic conference on computational methods in structural dynamics and earthquake engineering, Kos Island, Greece, pp 12–14

  • Cosenza E, Iervolino I (2007) Case study: seismic retrofitting of a medieval bell tower with FRP. J Compos Constr 11:319–327

    Article  Google Scholar 

  • Crowley H, Pinho R (2010) Revisiting Eurocode 8 formulae for periods of vibration and their employment in linear seismic analysis. Earthq Eng Struct Dyn 39:223–235. https://doi.org/10.1002/eqe.949

    Article  Google Scholar 

  • Diaferio M, Foti D, Giannocaro NI (2014) Non-destructive characterization and identification of the modal parameters of an old masonry tower. In: Proceedings of the IEEE workshop on environmental, energy and structural monitoring systems, Naples, Italy, pp 57–62

  • Diaferio M, Foti D, Potenza F (2018) Prediction of the fundamental frequencies and modal shapes of historic masonry towers by empirical equations based on experimental data. Eng Struct. https://doi.org/10.1016/j.engstruct.2017.11.061

    Article  Google Scholar 

  • DPCM (2011) Direttiva del Presidente del Consiglio dei Ministri per la valutazione e riduzione del rischio sismico del patrimonio culturale con riferimento alle norme techinche per le costruzioni di cui al decreto del Ministero delle infrastrutture e dei trasporti de. G.U. 26/2/2011, No. 47 (In Italian)

  • Eurocode 8 (1998) Design provisions for earthquake resistance of structures. Part 1–4: General rules—Strengthening and repair of buildings. ENV 1998-1-4: 1996. CEN, Brussels

  • Faccio P, Podestà S, Saetta A (2010) Venezia, Campanile della Chiesa di Sant’Antonio, Esempio 5. In: Linee Guida per la valutazione e riduzione del rischio sismico del patrimonio culturale allineate alle nuove Norme tecniche per le costruzioni (d.m. 14 gennaio 2008), (In Italian)

  • Ferraioli M, Mandara A, Miccoli L (2011) Dynamic identification and seismic safety of masonry bell towers. In: Proceedings in the XIV ANIDIS conference, Bari Italy

  • Ferraioli M, Miccoli L, Abruzzese D (2018) Dynamic characterisation of a historic bell-tower using a sensitivity-based technique for model tuning. J Civ Struct Heal Monit 8:253–269. https://doi.org/10.1007/s13349-018-0272-9

    Article  Google Scholar 

  • Fumagalli F, Liberatore D, Monti G, Sorrentino L (2017) Building features of Accumuli and Amatrice in a Pre-Earthquake survey. In: Proceedings in the XVII ANIDIS conference, Pistoia, Italy

  • Gentile C, Saisi A (2007) Ambient vibration testing of historic masonry towers for structural identification and damage assessment. Constr Build Mater 21:1311–1321. https://doi.org/10.1016/j.conbuildmat.2006.01.007

    Article  Google Scholar 

  • Gentile C, Saisi A (2013) Operational modal testing of historic structures at different levels of excitation. Constr Build Mater 48:1273–1285. https://doi.org/10.1016/j.conbuildmat.2013.01.013

    Article  Google Scholar 

  • Gentile C, Saisi A (2014) Dynamic testing of masonry towers using the microwave interferometry. Key Eng Mater 628:198–203. https://doi.org/10.4028/www.scientific.net/KEM.628.198

    Article  Google Scholar 

  • Goel RK, Chopra AK (1997) Period formulas for moment-resisting frame buildings. J Struct Eng 123:1454–1461

    Article  Google Scholar 

  • Ivorra S, Cervera JR (2001) Analysis of the dynamic actions when bells are swinging on the bell tower of Bonreposi Mirambell Church (Valencia, Spain). In: Proceedings of the 3rd international seminar historical constructions, Guimarães, Portugal

  • Ivorra S, Pallarés FJ (2006) Dynamic investigations on a masonry bell tower. Eng Struct 28:660–667. https://doi.org/10.1016/j.engstruct.2005.09.019

    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 12:287–293. https://doi.org/10.1260/136943309788251641

    Article  Google Scholar 

  • Ivorra S, Pallarés FJ, Adam JM, Tomás R (2010) An evaluation of the incidence of soil subsidence on the dynamic behaviour of a Gothic bell tower. Eng Struct 32:2318–2325. https://doi.org/10.1016/j.engstruct.2010.04.007

    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 30:3468–3477. https://doi.org/10.1016/j.engstruct.2008.06.001

    Article  Google Scholar 

  • Kohan PH, Nallim LG, Gea SB (2011) Dynamic characterization of beam type structures: analytical, numerical and experimental applications. Appl Acoust 72:975–981. https://doi.org/10.1016/j.apacoust.2011.06.007

    Article  Google Scholar 

  • Lancellotta R, Sabia D (2015) Identification technique for soil-structure analysis of the ghirlandina tower. Int J Archit Herit 9:391–407. https://doi.org/10.1080/15583058.2013.793438

    Article  Google Scholar 

  • Milani G, Casolo S, Naliato A, Tralli A (2012) Seismic assessment of a medieval masonry tower in northern Italy by limit, nonlinear static, and full dynamic analyses. Int J Archit Herit 6:489–524. https://doi.org/10.1080/15583058.2011.588987

    Article  Google Scholar 

  • Najafgholipour MA, Maheri MR, Darvishi H, Dehghan SM (2019) A semi-analytical formulation for estimating the fundamental vibration frequency of historical masonry towers. Bull Earthq Eng 1–19. https://doi.org/10.1007/s10518-018-00552-6

  • NTC Norme Tecniche per le Costruzioni (2008) D.M. del ministero delle infrastrutture e dei trasporti del 14/01/2008. Nuove norme tecniche per le costruzioni. G.U. 04/02/2008, No. 29 (In Italian)

  • NTC Norme Tecniche per le Costruzioni (2018) D.M. del ministero delle infrastrutture e dei trasporti del 17/01/2018. Aggiornamento delle “Norme tecniche per le costruzioni.” G.U. 20/02/2018, No. 42 (In Italian)

  • Pieraccini M, Fratini M, Dei D, Atzeni C (2009) Structural testing of historical heritage site towers by microwave remote sensing. J Cult Herit 10:174–182. https://doi.org/10.1016/j.culher.2008.09.006

    Article  Google Scholar 

  • Pieraccini M, Dei D, Mecatti D, Parrini F (2013) Dynamic testing of historic towers using an interferometric radar from an unstable measurement position. J Nondestruct Eval 32:398–404. https://doi.org/10.1007/s10921-013-0193-9

    Article  Google Scholar 

  • Pieraccini M, Dei D, Betti M et al (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 15:275–282. https://doi.org/10.1016/j.culher.2013.07.006

    Article  Google Scholar 

  • Rainieri C, Fabbrocino G (2012) Estimating the elastic period of masonry towers. In: Conference proceedings of the society for experimental mechanics series, pp 243–248

  • Ramos LF, Marques L, Lourenço PB et al (2010) Monitoring historical masonry structures with operational modal analysis: two case studies. Mech Syst Signal Process 24:1291–1305. https://doi.org/10.1016/j.ymssp.2010.01.011

    Article  Google Scholar 

  • Ribilotta E, Clementi F, Pellegrino M, et al (2018) Monitoring cultural heritage buildings: The San Ciriaco bell tower in Ancona. In: Proceedings of the 14th ICCMSE—international conference of computational methods in sciences and engineering, 14–18 March 2018, Thessaloniki, Greece

  • 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 32:353–360. https://doi.org/10.1016/j.engstruct.2009.08.002

    Article  Google Scholar 

  • Saisi A, Gentile C, Ruccolo A (2016) Pre-diagnostic prompt investigation and static monitoring of a historic bell-tower. Constr Build Mater 122:833–844. https://doi.org/10.1016/j.conbuildmat.2016.04.016

    Article  Google Scholar 

  • Saisi A, Gentile C, Ruccolo A (2018) Continuous monitoring of a challenging heritage tower in Monza, Italy. J Civ Struct Heal Monit 8:77–90. https://doi.org/10.1007/s13349-017-0260-5

    Article  Google Scholar 

  • Shakya M, Varum H, Vicente R, Costa A (2016) Empirical formulation for estimating the fundamental frequency of slender masonry structures. Int J Archit Herit 10:55–66. https://doi.org/10.1080/15583058.2014.951796

    Article  Google Scholar 

  • Ubertini F, Cavalagli N, Kita A, Comanducci G (2018) Assessment of a monumental masonry bell-tower after 2016 central Italy seismic sequence by long-term SHM. Bull Earthq Eng 16:775–801. https://doi.org/10.1007/s10518-017-0222-7

    Article  Google Scholar 

  • Valluzzi MR, Porto FDA, Casarin F, Monteforte N (2009) A contribution to the characterization of masonry typologies by using sonic waves investigations Résumé Keywords Masonry and building typologies. In: Proceedings of NDTCE conference on non-destructuve testing in civil engineering, Nantes, France

  • Vignoli A, Boschi S, Modena C, Cescatti E (2016) In-situ mechanical characterization of existing masonry typologies: A research project in Italy finalized to update the structural code. In: Proceedings of the 16th international brick and block masonry conference, Padua, Italy

  • Zanotti Fragonara L, Boscato G, Ceravolo R et al (2017) Dynamic investigation on the Mirandola bell tower in post-earthquake scenarios. Bull Earthq Eng 15:313–337. https://doi.org/10.1007/s10518-016-9970-z

    Article  Google Scholar 

  • Zonta D, Pozzi M (2015) The remarkable story of Portogruaro Civic Tower’ s probabilistic health monitoring. Struct Monit Maint 2:301–318

    Google Scholar 

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  1. Department of Civil and Environmental Engineering, University of Florence, 50139, Florence, Italy

    Gianni Bartoli, Michele Betti, Antonino Maria Marra & Silvia Monchetti

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  1. Gianni Bartoli
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  2. Michele Betti
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Correspondence to Michele Betti.

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Bartoli, G., Betti, M., Marra, A.M. et al. On the role played by the openings on the first frequency of historic masonry towers. Bull Earthquake Eng 18, 427–451 (2020). https://doi.org/10.1007/s10518-019-00662-9

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