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2009 Conference article Restricted
Analytical and numerical methods for the dynamic analysis of slender masonry structures
Girardi M
A comparison is presented between some explicit approximated solutions and the corresponding numerical results regarding the nonlinear oscillations of a slender masonry column, subjected to periodic excitations with variable amplitudes and frequencies

See at: CNR IRIS Restricted | CNR IRIS Restricted


2010 Contribution to conference Restricted
Some explicit solutions to the dynamic problem of masonry pillars
Girardi M
In this paper some explicit solutions to the dynamic problem of a masonry pillar are presented, modelling masonry by means of a homogeneous elastic material with zero tensile strength and infinite compressive strength.

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2009 Other Metadata Only Access
An application of the averaged Lagrangian method to the dynamics of masonry columns
Girardi M

See at: CNR IRIS Restricted


2014 Journal article Open Access OPEN
On the dynamic behaviour of masonry beam-columns: an analytical approach
Girardi M
The paper presents an analytical approach to the study of the transverse vibrations of masonry beam-columns. Starting with the constitutive equation for beams made of a masonry-like material and the averaged Lagrangian of the system, some explicit approximate solutions are found to the problem of free damped periodic oscillations and forced oscillations in the case of primary resonance on the beam's first mode. In particular, a set of equations is obtained that gives the modulation over time of the system's energy and of the fundamental frequency of the beam's response. The analytical results are compared to those obtained via the finite element code NOSA-ITACA, developed at ISTI-CNR.Source: EUROPEAN JOURNAL OF MECHANICS. A, SOLIDS, vol. 45, pp. 174-184
DOI: 10.1016/j.euromechsol.2013.12.005
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See at: CNR IRIS Open Access | ISTI Repository Open Access | ISTI Repository Open Access | www.sciencedirect.com Open Access | European Journal of Mechanics - A/Solids Restricted | CNR IRIS Restricted | CNR IRIS Restricted | CNR IRIS Restricted


2017 Journal article Open Access OPEN
Epistemic uncertainties in structural modeling: a blind benchmark for seismic assessment of slender masonry towers
Bartoli G, Betti M, Biagini P, Borghini A, Ciavattone A, Girardi M, Lancioni G, Marra Am, Ortolani B, Pintucchi B, Salvatori L
The paper reports the results of a blind benchmark developed as a part of the preliminary activity of the research project RiSEM (Italian acronym for Seismic Risk on Monumental Buildings). The benchmark was aimed at comparing the results obtained with different analytical models and/or numerical analysis techniques (variational approach, finite elements, macroelements, equivalent frame, etc.) for the assessment of the nonlinear structural behavior of two cantilever masonry elements with different slenderness. The analyzed elements were characterized by a deliberately simple geometry, and the comparison between the numerical results had a twofold purpose. On the one hand, it aimed at estimating the effects of the epistemic uncertainties that are related to the different models and numerical techniques. On the other hand, it aimed at reaching a proper evaluation of the influence of parameters describing the postelastic behavior of the structural typology analyzed within the research project (specifically, the masonry towers). Both these objectives were necessary to further proceed with the development of simplified numerical models needed for the subsequent risk analysis. For both slendernesses, the results have highlighted a significant dispersion of both the displacement capacity and postpeak softening branch of the capacity curves. In addition, after some elaborations it has been observed that the dispersion of the results is proportional to both the shear-force and displacement level.Source: JOURNAL OF PERFORMANCE OF CONSTRUCTED FACILITIES, vol. 31 (issue 5)
DOI: 10.1061/(asce)cf.1943-5509.0001049
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See at: ascelibrary.org Open Access | CNR IRIS Open Access | ISTI Repository Open Access | Journal of Performance of Constructed Facilities Restricted | CNR IRIS Restricted | CNR IRIS Restricted


2005 Other Open Access OPEN
Metodi perturbativi per lo studio delle vibrazioni flessionali di travi costituite da materiale non resistente a trazione
Girardi M
The thesis concerns the flexural nonlinear oscillations of rectangular cross-sectional masonry columns. A variational approach is proposed to obtain explicitly some approximated solutions by using the averaged Lagrangian of the system. The dynamic equilibrium of the beam is studied for some boundary conditions, for free dumped and undumped oscillations and in the case of primary resonance of the first mode. The peculiar behaviour of masonry, that is generally not able to withstand tensile stresses, is taken into account by means of a masonry - like constitutive equation.

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2015 Journal article Restricted
Editorial of - "Special Issue: Civil-Comp"
Tsompanakis Y, Ivanyi P, Beck At, Beer M, Neves Lfc, Girardi M, Jensen Haj, Marti K, Rizzi Nl, Da Silva Jgs, Taflanidis Aa, Topping Bhv
Source: ADVANCES IN ENGINEERING SOFTWARE (1992), vol. 89, pp. 1-2
DOI: 10.1016/j.advengsoft.2015.08.007
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See at: Advances in Engineering Software Restricted | CNR IRIS Restricted | CNR IRIS Restricted | www.sciencedirect.com Restricted


2021 Journal article Open Access OPEN
The natural frequencies of masonry beams
Girardi M
The present paper aims at analytically evaluating the natural frequencies of cracked slender masonry elements. The problem is dealt with in the framework of linear perturbation, and the small oscillations of the structure are studied under loaded conditions, after the equilibrium for permanent loads has been achieved. A masonry beam element made of no-tension (masonry-like) material is considered, and some explicit expressions of the beam's fundamental frequency as a function of the external loads and the amplitude of imposed deformations are derived. The analytical results are validated via finite-element analysis.Source: ARCHIVE OF APPLIED MECHANICS, pp. 2369-2379
DOI: 10.1007/s00419-021-01887-4
DOI: 10.48550/arxiv.2012.05704
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See at: arXiv.org e-Print Archive Open Access | Archive of Applied Mechanics Open Access | CNR IRIS Open Access | link.springer.com Open Access | ISTI Repository Open Access | Archive of Applied Mechanics Restricted | doi.org Restricted | CNR IRIS Restricted | CNR IRIS Restricted


2010 Journal article Restricted
Free flexural vibrations of masonry beam-colums
Girardi M, Lucchesi M
The paper presents an analytical discussion of the free transverse vibrations of masonry beam-columns, focusing on the role of the material's inability to sustain traction in modifying the dynamic behavior of such structures. In particular, for periodical oscillations, an analytical method is presented for obtaining an explicit relation between the fundamental frequency of the beam and the amplitude of displacements.Source: JOURNAL OF MECHANICS OF MATERIALS AND STRUCTURES, vol. 5 (issue 1), pp. 143-159

See at: CNR IRIS Restricted | CNR IRIS Restricted | pjm.math.berkeley.edu Restricted


2009 Other Restricted
Free flexural vibrations of masonry beam-columns
Girardi M, Lucchesi M
The paper presents an analytical discussion of the free transverse vibrations of masonry beam-columns, focusing on the role of the material's inability to sustain traction in modifying the dynamic behavior of such structures. In particular, for periodical oscillations, an analytical method is presented for obtaining an explicit relation between the fundamental frequency of the beam and the amplitude of displacements.

See at: CNR IRIS Restricted | CNR IRIS Restricted


2012 Conference article Open Access OPEN
Numerical methods for slender masonry structures: a comparative study.
Girardi M, Lucchesi M, Padovani C, Pasquinelli G, Pintucchi B, Zani N
This paper is devoted to comparing two numerical approaches for modelling the dynamic behaviour of masonry structures. It presents the constitutive equation of masonry-like materials with bounded compressive strength and addresses the dynamic problem for both three-dimensional bodies and one-dimensional structures. The numerical methods implemented in the codes NOSA-ITACA and MADY, respectively for three and one-dimensional structures, are outlined. With the aim of comparing the two numerical procedures, a masonry tower with rectangular cross-section is analised. The structure is subjected to its own weight and an accelerogram recorded during a real earthquake. This comparison has emphasised the importance of employing accurate constitutive models when analysing masonry structures.DOI: 10.4203/ccp.99.118
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See at: pdfs.semanticscholar.org Open Access | CNR IRIS Restricted | CNR IRIS Restricted | www.ctresources.info Restricted | www.scopus.com Restricted


2012 Journal article Open Access OPEN
The "SHOWN" platform - Safeguarding architectural heritage using wireless networks
Barsocchi P, Girardi M
Regular surveys of the structure of World Heritage buildings are essential to ensure their conservation. The aging of building materials, long-term ground subsidence, and environmental vibrations are all possible causes of the deterioration of old constructions. The potentially disastrous effects of severe seismic events are an additional factor teaching us the importance of prevention. When the constraints of architectural conservation are very strict, prevention mainly means monitoring.Source: ERCIM NEWS, vol. 90, pp. 52-53

See at: ercim-news.ercim.eu Open Access | CNR IRIS Open Access | CNR IRIS Restricted


2013 Other Restricted
The NOSA-ITACA code for modelling and assessing the structural behaviour of ancient constructions
Girardi M, Padovani C, Pasquinelli G
Recent studies have led to the implementation of the finite element code NOSA, in which masonry is described as a nonlinear elastic material with zero tensile strength and bounded compressive strength. The code has been successfully applied to a number of studies on important historic buildings, such as the Medici Arsenal and the church of San Pietro in Vinculis in Pisa, the bell tower of Buti, the church of Santa Maria Maddalena in Morano Calabro and the Rognosa tower in San Gimignano. With the aim of improving the performance of the NOSA code and equipping it with an interactive graphic tool for pre- and post-processing, the project "Tools for the modelling and assessment of the structural behaviour of ancient constructions" has been conducted by the laboratory of Mechanics of Materials and Structures of ISTI-CNR and a research team from the Department of Civil and Environmental Engineering of the University of Florence. The project, funded by the Region of Tuscany (2011-2013), has led to the development of the NOSA-ITACA code, resulting from integration of the NOSA code and the open source graphic platform SALOME. The NOSA-ITACA code has been used to study the church of San Francesco in Lucca, Italy. The church has been studied under two different conditions: in its actual state and in the presence of reinforcement structures. This case study highlights the important role of mathematical models and numerical tools in assessing the mechanical behaviour of historical masonry buildings in the presence of earthquakes, as well as in planning strengthening operations on such structures.

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2014 Conference article Open Access OPEN
Nonlinear analyses of the medieval "Ponte del Diavolo", Borgo a Mozzano, Italy
De Falco A, Girardi M, Pellegrini D
Structural analyses are particularly difficult to conduct on masonry constructions as a result of the lack of knowledge of the material mechanical properties. However, one well-established peculiar characteristic of masonry is its radically different behavior under tensile and compressive stresses. A suitable constitutive equation has been developed that models masonry as an isotropic elastic non-linear material with zero tensile strength and either infinite or bounded compressive strength. This constitutive equation, which is known as the masonry-like model, has been implemented in the finite element code NOSA-ITACA, which has been successfully applied to the static analysis of several historical masonry buildings as well as the dynamic analysis of masonry pillars, beams and towers. In the work, described in this paper, the Maddalena bridge, known as the "Devil's Bridge" ("Ponte del Diavolo"), on the Serchio river in Borgo a Mozzano, Italy is studied. The paper presents several structural analyses performed using the NOSAITACA code by means of finite element models composed of plane or threedimensional elements. Initially, the structural behavior of the bridge under permanent loads is investigated using non-linear static analysis. Then, a non-linear dynamic analysis is performed using a time-dependent three-dimensional acceleration recorded during the earthquake that occurred in the nearby "Lunigiana" area on the 21 June in 2013. The results are analyzed and the differences between the linear and nonlinear behavior are highlighted.DOI: 10.4203/ccp.106.74
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See at: arXiv.org e-Print Archive Open Access | Journal of Performance of Constructed Facilities Open Access | Archivio della Ricerca - Università di Pisa Open Access | IRIS Cnr Open Access | IRIS Cnr Open Access | IRIS Cnr Open Access | Archivio della Ricerca - Università di Pisa Open Access | IRIS Cnr Open Access | IRIS Cnr Open Access | ISTI Repository Open Access | IRIS Cnr Open Access | Journal of Performance of Constructed Facilities Restricted | Journal of Performance of Constructed Facilities Restricted | Journal of Performance of Constructed Facilities Restricted | Journal of Performance of Constructed Facilities Restricted | doi.org Restricted | Archivio della Ricerca - Università di Pisa Restricted | Archivio della ricerca- Università di Roma La Sapienza Restricted | CNR IRIS Restricted | CNR IRIS Restricted


2015 Other Restricted
Train-induced vibrations on the Maddalena Bridge in Borgo a Mozzano (Italy)
De Falco A, Galletto A, Girardi M, Pellegrini D
This paper deals with the Maddalena Bridge, also known as the "Devil's Bridge", in Borgo a Mozzano (Italy). This particularly fascinating structure was built in the 11th century as a strategic infrastructure for trade routes. Due to the changing needs and new lifestyles of modern society, its importance as a thoroughfare has been progressively lost over the centuries. The construction of a new railroad line in the early 20th century called for demolition of the bridge's right shoulder in order to build the railway embankment and a new arch for the passage of trains. Nowadays, the vibrations of passing convoys are transmitted to the bridge, and current conservation requirements for this national monument require assessments of the interaction effects with the railway infrastructure. This document reports on a vibration measurements campaign aimed at evaluating the effects of train transit in terms of stresses and accelerations on the bridge structure. To this purpose, many acceleration time-histories have been acquired on the railway and bridge both under ambient vibrations and during the passage of convoys. The analysis of the experimental data has also enabled calibration of a finite element model of the bridge. Furthermore, in order to assess the overall stress field in the structure and its dynamic behaviour, several structural analyses have been performed by modelling masonry as a nonlinear elastic material, with zero tensile strength and infinite compressive strength, according to the masonry-like model. In particular, the accelerations recorded on the railway during the transit of a cargo train have been applied to the finite-element model. Dynamic analysis was then performed and the results compared with those actually recorded on the bridge. All analyses have been performed by means of the NOSA-ITACA code (http://www.nosaitaca.it/en), in which the masonry-like model has been implemented. This study provides information on both the dynamic response of the structure and the effects produced by the passage of trains on the adjacent railway tracks.

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2016 Conference article Restricted
Measurement of the vibration response of the medieval Maddalena Bridge (Italy).
Azzara R M, De Falco A, Girardi M, Pellegrini D
Nowadays the structural health monitoring of ancient masonry constructions is a key issue. In this context, one very important approach is the use of wholly nondestructive techniques, such as measurement of the environmental vibrations affecting structures. This paper reports on a vibration measurements campaign performed on the medieval Maddalena Bridge in Borgo a Mozzano, near Lucca, also known as "Ponte del Diavolo" (Devil's Bridge), one of the most fascinating old masonry bridges in Italy. The bridge, built in the 11th century, crosses the Serchio River for about one hundred meters with four circular arcades. The monitoring system has been mainly aimed at evaluating the dynamic response of the bridge to vibrations originating in the adjacent railway and two nearby roads. Analysis of the recorded data via Operational Modal Analysis techniques has furnished the natural frequencies and mode shapes of the structure and the corresponding damping ratios.

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2017 Journal article Open Access OPEN
Ambient vibration recording on the Maddalena Bridge in Borgo a Mozzano (Italy): data analysis
Azzara R M, De Falco A, Girardi M, Pellegrini D
This paper reports on a vibration measurements campaign performed on the medieval Maddalena Bridge, also known as the "Devil's Bridge", in Borgo a Mozzano (Italy), one of the most fascinating in Italy. This 11th century masonry bridge, supported by four circular arcades, crosses the Serchio River for about one hundred meters. Information on the dynamic response of the structure have been obtained through a wholly nondestructive technique, by measuring the environmental vibrations affecting the structures. A monitoring system has been fitted on the external surface of the bridge in order to evaluate its dynamic response to vibrations originating in the adjacent railway and two nearby roads. The natural frequencies and mode shapes of the structure and the corresponding damping ratios have been obtained by analyzing the recorded data using different techniques of Operational Modal Analysis. Lastly, a finite-element model of the bridge has been calibrated to fit the experimental data.Source: ANNALS OF GEOPHYSICS (ONLINE), vol. 60 (issue 4)
DOI: 10.4401/ag-7159
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See at: Annals of Geophysics Open Access | CNR IRIS Open Access | ISTI Repository Open Access | Annals of Geophysics Open Access | Annals of Geophysics Open Access | CNR IRIS Restricted


2020 Journal article Open Access OPEN
Editorial: urban vibrations and their effects upon built heritage: measurements, characterization, and simulations
Palermo M, Baraccani S, Girardi M, Pellegrini D, Azzara Rm
Source: FRONTIERS IN BUILT ENVIRONMENT, vol. 6
DOI: 10.3389/fbuil.2020.588758
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See at: Frontiers in Built Environment Open Access | CNR IRIS Open Access | ISTI Repository Open Access | Frontiers in Built Environment Open Access | www.frontiersin.org Open Access | Frontiers in Built Environment Open Access | CNR IRIS Restricted


2023 Other Unknown
Analisi del collasso di strutture ad arco in muratura: indagini sperimentali su modelli in scala
E. Casassa, (relatori: Barsotti R., Barsi F., Girardi M., Padovani C., Bennati S. )
La tesi vuole analizzare il comportamento sperimentale di modelli in scala di arco sottoposti a carichi pseudostatici incrementali. I modelli degli archi sono ottenuti accostando, a secco, i conci ottenuti attraverso una stampante 3D. L'azione sismica viene simulata come una forza statica d'inerzia, proporzionale alla massa. In questo senso, per applicare un pattern di carichi adeguato è stata prevista la costruzione di una tilting table. I risultati sperimentali, raccolti sottoforma di moltiplicatori dei carichi orizzontali di collasso , vengono successivamente analizzati criticamente confrontandoli con i risultati teorici (trovati attraverso il teorema cinematico) ed i risultati forniti dal software di calcolo NOSA-ITACA.

See at: CNR ExploRA


2008 Conference article Restricted
Static analysis of masonry vaults and domes
Girardi M, Padovani C, Pagni A, Pasquinelli G
We propose a method for studying masonry vaults and domes, with the aim of providing a computational tool that can be used to evaluate the safety of masonry structures, as well as to guide the choice of strengthening operationes. We briefly recall the constitutive equation and the numerical methods used for modeling the mechanical behavior of masonry vaults and domes and implemented in the finite element code NOSA. We then describe the study of an existing vault of historical and architectural importance.

See at: CNR IRIS Restricted | CNR IRIS Restricted