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Numerical Modelling of Historical Masonry Structures with the Finite Element Code NOSA-ITACA

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Mathematical Modeling in Cultural Heritage (MACH 2021)

Part of the book series: Springer INdAM Series ((SINDAMS,volume 55))

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Abstract

This chapter presents the finite element code NOSA-ITACA for static and modal analyses of masonry structures of architectural interest. NOSA-ITACA adopts the constitutive equation of masonry-like materials, which considers masonry a nonlinear elastic material with zero tensile strength. The capability of modelling restoration and consolidation operations makes the code a helpful tool for maintaining historical buildings. In recent years, long-term vibration monitoring turned out to be an effective non-destructive technique to investigate the dynamic behaviour and check the health status of historical buildings. Changes in their dynamic properties, such as natural frequencies, can represent effective damage indicators. The latest NOSA-ITACA developments are oriented towards structural health monitoring. The availability of the experimental modal properties of a structure makes it possible to calibrate its finite element model via model updating procedures. In particular, the unknown structure’s characteristics, such as materials’ properties and boundary conditions, can be determined by solving a minimum problem whose objective function is expressed as the discrepancy between experimental frequencies and mode shapes and their numerical counterparts. Several case studies are presented to show the main features of NOSA-ITACA and its effectiveness in the conservation of architectural heritage.

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Notes

  1. 1.

    A body is a regular region of the three-dimensional Euclidean space having boundary \(\partial \mathcal {B}\), with outward unit normal \(\mathbf {n}\) [17].

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Acknowledgements

The development of NOSA-ITACA has been partially funded by the Region of Tuscany within the framework of projects NOSA-ITACA (PAR-FAS 2011-2013) and MOSCARDO (FAR-FAS 2016-2018). This financial support is gratefully acknowledged.

Author information

Authors and Affiliations

  1. Institute of Information Science and Technologies “A. Faedo”, ISTI–CNR, Pisa, Italy

    Maria Girardi, Cristina Padovani, Daniele Pellegrini, Margherita Porcelli & Leonardo Robol

  2. Department of Mathematics, University of Bologna, Bologna, Italy

    Margherita Porcelli

  3. Department of Mathematics, University of Pisa, Pisa, Italy

    Leonardo Robol

Authors
  1. Maria Girardi
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  2. Cristina Padovani
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  3. Daniele Pellegrini
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  4. Margherita Porcelli
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  5. Leonardo Robol
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Corresponding author

Correspondence to Cristina Padovani .

Editor information

Editors and Affiliations

  1. Istituto per le Applicazioni del Calcolo "Mauro Picone" (IAC), Consiglio Nazionale delle Ricerche (CNR), Roma, Italy

    Gabriella Bretti

  2. Dipartimento di Matematica, Università degli Studi di Milano, Milano, Italy

    Cecilia Cavaterra

  3. Dipartimento di Architettura, Università degli Studi di Sassari, Alghero, Sassari, Italy

    Margherita Solci

  4. Institute of Applied Mathematics and Information Technologies (IMATI), Consiglio Nazionale delle Ricerche (CNR), Genova, Italy

    Michela Spagnuolo

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Girardi, M., Padovani, C., Pellegrini, D., Porcelli, M., Robol, L. (2023). Numerical Modelling of Historical Masonry Structures with the Finite Element Code NOSA-ITACA. In: Bretti, G., Cavaterra, C., Solci, M., Spagnuolo, M. (eds) Mathematical Modeling in Cultural Heritage. MACH 2021. Springer INdAM Series, vol 55. Springer, Singapore. https://doi.org/10.1007/978-981-99-3679-3_9

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