Abstract
Isolation technique based on small-size double concave curved surface sliders was studied and applied to Michelangelo’s sculptures placed at the “Galleria dell’Accademia” in Florence, Italy. Starting from preliminary results carried out by some of the authors on such kind of devices, the effect of an enhanced calibration of friction parameters was presented and a number of numerical simulations of both experimental tests and real sculptures under different dynamic conditions were carried out. In particular the experimental tests results were analysed and compared with those obtained for the statues subjected to sinusoidal inputs. Then the sculptures in isolated conditions were subjected to a set of generated accelerograms, compatible with the design spectrum characterizing the Florence site and the main results of the analyses are presented and compared with the case of non-isolated systems.
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References
Baggio S, Berto L, Favaretto T, Saetta A (2013) Mitigazione del rischio sismico per beni artistici mobili: un sistema di isolamento sismico. In: Proceedings of XV convegno ANIDIS. L’ingegneria Sismica in Italia, Padova, 30 June–4 July 2013
Berto L, Favaretto T, Saetta A (2011) Seismic vulnerability of art objects: statues of the Galleria dei Prigioni—Galleria dell’accademia of Firenze. In: Proceedings of XIV convegno ANIDIS. L’ingegneria Sismica in Italia, Bari: digilabs, 2011. Atti di: ANIDIS 2011, Bari, 18–22 Settembre
Berto L, Favaretto T, Saetta A, Antonelli F, Lazzarini L (2012) Assessment of seismic vulnerability of art objects: the “Galleria dei Prigioni” sculptures at the Accademia Gallery in Florence. J Cult Herit 13(1):7–21
Berto L, Favaretto T, Saetta A (2013) Seismic risk mitigation technique for art objects: experimental evaluation and numerical modeling of double concave curved surface sliders. Bull Earthq Eng 11(5):1817–1840
Caliò I, Marletta M (2004) On the mitigation of seismic risk of art objects: case studies. In: Proceedings 13th world conference on earthquake engineering, Vancouver (Canada), August 1–6. Paper no. 2828
Constantinou M, Mokha A, Reinhorn A (1990) Teflon bearings in base isolation part II: modeling. J Struct Eng 116(2):455–474
Direttiva PCM. 12 Ottobre 2007 per la valutazione e riduzione del rischio sismico del patrimonio culturale tutelato, S.O. n 25 della G.U. n. 24 del 29 Gennaio 2008, update 9 febbraio 2011
EN 1998-1:2004 Eurocode 8: design of structures for earthquake resistance. Part 1-1: general rules—seismic actions and general requirements for structures
Fenz D, Constantinou M (2006) Behaviour of the double concave friction pendulum bearing. Earthq Eng Struct Dyn Issue 35:1403–1424
Forni M, Martelli A, Indirli M (2003) Seismic isolation and other seismic vibrations control techniques of structures in Europe. In: Proceedings fourth international conference of earthquake engineering and seismology, 12–14 May 2003, Tehran, Islamic Republic of Iran
Iervolino I, Galasso C, Cosenza E (2010) REXEL: computer aided record selection for code-based seismic structural analysis. Bull Earthq Eng 8(2):339–362
Infanti S, Benzoni G, Castellano M (2011) Dynamic testing of double concave curved surface sliders. In: Proceedings 7th world congress on joints, bearings and seismic systems for concrete structures, Las Vegas, Nevada, 2–6 October 2011
Lowry M, Armendariz D, Farra BJ, Podany J (2008) Seismic mount making: a review of the protection of objects in the J. Paul Getty Museum from earthquake damage. In: Advances in the protection of museum collections from earthquake damage, symposium held at the J. Paul Getty Museum at the Villa on 3–4 May 2006. J. Paul Getty Museum Trust, Los Angeles
midas Gen (2007) Ver. 7.4.1 Integrated solution system for buildings and general structures, MIDAS Information Technology, Co., Ltd. http://www.MidasUser.com
Mokha A, Constantinou M, Reinhorn A, Zayas V (1991) Experimental study of friction-pendulum isolation system. J Struct Eng 117(4):1201–1217
Naeim F, Kelly J (1999) Design of seismic isolated structures: from theory to practice. Wiley, New York
NTC2008: Norme Tecniche per le Costruzioni, D.M. 14/1/2008, SO n.30 G.U. n.29 del 4/2/2008
Rhinoceros: modeling tools for designers (2010) Ver. 4 Robert McNeel & Associates. http://www.rhino3d.com
Tsai C, Chiang T, Chen B (2005) Experimental evaluation of piecewise exact solution for predicting seismic responses of spherical sliding type isolated structures. Earthq Eng Struct Dyn 34:1027–1046
Zayas V, Low S, Mahin S (1987) The FPS system: experimental report. Report no. UCB/EERC-87-O1, Earthquake Engineering Research Center, Berkeley, CA
Zayas V, Low S, Bozzo L, Mahin S (1989) Feasibility and performance studies on improving the earthquake resistance of buildings using the friction pendulum system. Report no. UCB/EERC-89-09, Earthquake Engineering Research Center, Berkeley, CA
Acknowledgments
The Authors wish to acknowledge Ing. Andrea Doria for his help in graphical design and modelling and Roberto Scopigno, Head of the Visual Computing Laboratory ISTI-CNR Pisa. Particular thanks to F.I.P., Padova Italy, and San Diego Laboratory for their profitable collaboration in the research. We also would like to thank the “Ministry of Cultural Heritage and Activities” for its financial support.
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Baggio, S., Berto, L., Favaretto, T. et al. Seismic isolation technique of marble sculptures at the Accademia Gallery in Florence: numerical calibration and simulation modelling. Bull Earthquake Eng 13, 2719–2744 (2015). https://doi.org/10.1007/s10518-015-9741-2
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DOI: https://doi.org/10.1007/s10518-015-9741-2