Abstract
The most relevant results of the vibration-based investigations performed on a historic masonry tower in Italy namely the Santa Maria a Vico bell-tower is here presented. The first part of the study involves preliminary full-scale ambient vibration measurements in operational conditions and dynamics-based finite element (FE) modelling. At first, a manual tuning of the uncertain parameters of the model was carried out to adjust material properties, soil-structure interaction and constraining effect of the neighbouring structures. Then, based on the sensitivity analysis, only the most sensitive parameters were chosen as updating parameters. Finally, a model updating technique based on a sensitivity-based method was used to minimise the error between experimental vibration data and numerical response values. To this aim, a residual vector defined as the weighted difference between the measured quantities and calculated quantities was used. The uncertain structural parameters of the FE model were identified by minimising a robust penalty function. The calibrated model was used as an important tool for the seismic assessment of the structure using pushover analysis. Since the assumed value of the masonry compressive strength is the most sensitive parameter of non-linear behaviour, a sensitivity analysis was performed considering reference values in the range of interest. The seismic safety corresponding to increasing levels of the seismic hazard was finally investigated.
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References
Brownjohn JMW (2007) Structural health monitoring of civil infrastructure. Philos Trans A Math Phys Eng Sci 365:589–622
Peeters B, Maeck J, De Roeck G (2001) Vibration-based damage detection in civil engineering: excitation sources and temperature effects. Smart Mater Struct 10(3):518–527
Cunha A, Caetano E (2006) Experimental modal analysis of civil engineering structures. Sound Vibr 6:12–20
Brownjohn JM, De Stefano A, Xu YL, Wenzel H, Aktan AE (2011) Vibration based monitoring of civil infrastructure: challenges and successes. J Civ Struct Health Monit 1(3–4):79–95
Benedettini F, Gentile C (2011) Operational modal testing and FE model tuning of a cable-stayed bridge. Eng Struct 33(6):2063–2073
Cunha A, Caetano E, Delgado R (2001) Dynamic tests on large cable-stayed bridge. J Bridge Eng 6(1):54–62
Ferraioli M, Abruzzese D, Miccoli L, Vari A, Di Lauro G (2010) Structural identification from environmental vibration testing of an asymmetric-plan hospital building in Italy. COST ACTION C26: Urban habitat constructions under catastrophic events—proceedings of the final conference. pp 981–986
Jaishi B, Ren W-X, Zong Z-H, Maskey PN (2003) Dynamic and seismic performance of old multi-tiered temples in Nepal. Eng Struct 25(14):1827–1839
Pau A, Vestroni F (2008) Vibration analysis and dynamic characterization of the Colosseum. Struct Control Health Monit 15(8):1105–1121
Aras F, Krstevska L, Altay G, Tashkov L (2011) Experimental and numerical modal analyses of a historical masonry palace. Constr Build Mater 25(1):81–91
Atamturktur S, Hemez FM, Laman JA (2012) Uncertainty quantification in model verification and validation as applied to large scale historic masonry monuments. Eng Struct 43:221–234
Sánchez-Aparicio LJ, Riveiro B, González-Aguilera D, Ramos LF (2014) The combination of geomatic approaches and operational modal analysis to improve calibration of finite element models: a case of study in Saint Torcato Church (Guimarães, Portugal). Constr Build Mater 70:118–129
Mottershead JE, Link M, Friswell MI (2011) The sensitivity method in finite element model updating: a tutorial. Mech Syst Signal Process 25:2275–2296
Saltelli A, Tarantola S, Campolongo F (2000) Sensitivity analysis as an ingredient of modeling. Stat Sci 15:377–395
Urn MK, Du H (1995) Improved inverse eigensensitivity method for structural analytical model updating. J Vib Acoust 117:192–198. https://doi.org/10.1115/1.2873889
Farhat C, Hemez FM (1993) Updating finite element dynamic models using an element-by-element sensitivity methodology. AIAA J 31:1702–1711
Brownjohn JMW, Xia PQ, Hao H, Xia Y (2001) Civil structure condition assessment by FE model updating: methodology and case studies. Finite Elem Anal Des 37:761–775
Boscato G, Russo S, Ceravolo R, Zanotti Fragonara L (2015) Global sensitivity-based model updating for heritage structures. Comput Aided Civil Infrastruct Eng 30:620–635
Ivorra S, Pallares FJ (2006) Dynamic investigation on a masonry bell tower. Eng Struct 25(5):660–667
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
Peña F, Lourenço PB, Mendes N, Oliveira DV (2010) Numerical models for the seismic assessment of an old masonry tower. Eng Struct 32(5):1466–1478
Foti D, Diaferio M, Giannoccaro NI, Mongelli M (2012) Ambient vibration testing, dynamic identification and model updating of a historic tower. NDT and E Int 47:88–95
Allemang RJ, Brown DL (1982) A correlation coefficient for modal vector analysis. Proceedings of the 1st International Modal Analysis Conference. Orlando USA
Gentile C, Saisi A, Cabboi A (2015) Structural identification of a masonry tower based on operational modal analysis. Int J Archit Herit 9:98–110
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
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
Preciado A (2015) Seismic vulnerability and failure modes simulation of ancient masonry towers by validated virtual finite element models. Eng Fail Anal 57:72–87
Ferraioli M, Miccoli L, Abruzzese D, Mandara A (2017) Dynamic characterisation and seismic assessment of medieval masonry towers. Nat Hazards 86:489–515
Drago G (1929) The royal convent of Santa Maria a Vico (Mary of Assumption and its Sanctuary of S. Maria a Vico/short historical notes of the priest Gaetano Drago oblate of Maria Im), Tipografia Pontificia degli Artigianelli, Naples
Instruments National (2003) LabVIEW measurements manual. National Instruments, Austin
Bendat JS, Piersol AG (1993) Engineering applications of correlation and spectral analysis. Wiley Interscience, New York
LUSAS Finite Element System (2012) Lusas theory manual. FEA Ltd, UK
Allemang RJ, Brown DL (1982) A correlation coefficient for modal vector analysis. In: 1st international modal analysis conference (IMAC), Orlando, FL
Bakir PG, Reynders E, De Roeck G (2007) Sensitivity-based finite element model updating using constrained optimization with a trust region algorithm. J Sound Vib 305:211–225
NTC (2008) Norme Tecniche per le Costruzioni. DM del 14 gennaio 2008. Gazzetta Ufficiale 29 – Istruzioni per l’applicazione delle « Nuove norme tecniche per le costruzioni » . Circolare del 2 febbraio 2009. Gazzetta Ufficiale 47. Ministero per le Infrastrutture e Trasporti (Italian Building Code. Ministerial decree of Jan 14th, 2008. Official gazette 29 - Guidelines for the application of the new Building Code. Document of Feb 2nd, 2009. Official gazette 47. Ministry of Infrastructure and Transport) Rome
Eurocode CEN (2004) 8: Design of structures for earthquake resistance. Part 3: Assessment and retrofitting of buildings (EN 1998-1: 2004). European Committee for Normalization, Brussels
Zucchini A, Lourenço PB (2007) Mechanics of masonry in compression: results from a homogenisation approach. Comput Struct 85:193–204
Cerioni R, Brighenti R, Donida G (1995) Use of incompatible displacement modes in a finite element model to analyze the dynamic behavior of unreinforced masonry panels. Comput Struct 57:47–57
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 25:4308–4324
DPCM (2011) Valutazione e riduzione del rischio sismico del patrimonio culturale con riferimento alle norme tecniche per le costruzioni di cui al DM 14 gennaio 2008. Presidenza del Consiglio dei Ministri (Assessment and reduction of seismic risk of cultural heritage in relation to the Building Code included in the Ministerial decree of January 14th, 2008. Presidency of the Council of Ministers) Rome
Ferraioli M (2015) Case study of seismic performance assessment of irregular RC buildings: hospital structure of Avezzano (L’Aquila, Italy). Earthq Eng Eng Vib 14:141–156
Ferraioli M (2010) Inelastic torsional response of an asymmetric-plan hospital building in Italy. COST ACTION C26: urban habitat constructions under catastrophic events—proceedings of the final conference. pp 365–370
ATC (1996) Seismic evaluation and retrofit of concrete buildings. Report ATC-40. Applied Technology Council, Redwood City
Fajfar P (1999) Capacity spectrum method based on inelastic demand spectra. Earthq Eng Struct D 28:979–993
Eurocode CEN (2004) 8: Design of structures for earthquake resistance. Part 3: Assessment and retrofitting of buildings (EN 1998-1: 2004). European Committee for Normalization, Brussels
Acknowledgements
The authors wish to express their gratitude to Mr. Pasquale Crisci, Mr. Gennaro Di Lauro, Mr. Salvatore Froncillo and Mr. Alessandro Vari for their important support in the on-site measurements carried out on the tower. Mr. Massimo Romita is also acknowledged for designing and customizing the analogue filter inside the conditioner signal for the accelerometer.
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Ferraioli, M., Miccoli, L. & Abruzzese, D. Dynamic characterisation of a historic bell-tower using a sensitivity-based technique for model tuning. J Civil Struct Health Monit 8, 253–269 (2018). https://doi.org/10.1007/s13349-018-0272-9
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DOI: https://doi.org/10.1007/s13349-018-0272-9