Prediction of the fundamental frequencies and modal shapes of historic masonry towers by empirical equations based on experimental data

Diaferio, Mariella; Foti, Dora; Potenza, Francesco

doi:10.1016/j.engstruct.2017.11.061

Cited by 47 publications

(27 citation statements)

References 25 publications

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“…They are not specific for ancient masonry churches that should require adequate formulas due to their particular structural typology. A similar approach, for instance, may be found in the recent studied of Shakya et al (2016); Bartoli et al (2017); Diaferio et al (2018); and Sarhosis et al (2018) where appropriate empirical and semiempirical formulations for predicting the main frequency of slender masonry towers have been proposed.…”

Section: Estimation Of Main Modal Frequency With Existing National Comentioning

confidence: 96%

Simplified Formulations for Estimating the Main Frequencies of Ancient Masonry Churches

López

D’Amato

Ramos

et al. 2019

Front. Built Environ.

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This paper proposes simplified formulations for estimating the main frequencies of ancient masonry churches. The formulations are derived starting from the results of numerical analyses with finite elements models, whose geometric parameters are assigned in accordance with specific relationships established on a set of 50 existing churches. The so-obtained formulations are also compared with the results of a series of experimental dynamic identification tests chosen from literature. Finally, starting from these experimental results, through numerical regressions, formulas for predicting the main frequencies of ancient masonry churches are proposed, too.

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Section: Estimation Of Main Modal Frequency With Existing National Comentioning

confidence: 96%

Simplified Formulations for Estimating the Main Frequencies of Ancient Masonry Churches

López

D’Amato

Ramos

et al. 2019

Front. Built Environ.

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“…This parameter is usually unknown; however, under the assumption that the restraint offered by lateral buildings can be modelled as fixed restraints along a certain portion of the tower with unknown height, the uncertainties related to the lateral restraint condition can be represented through the PDF of the length of the laterally unrestrained part of the tower. By indicating with effective height (h) the height of the unrestrained part of the tower [34][35][36], a schematic representation of this parameter is given in figure 4 for both the main directions of the tower. To account for the uncertainties related to the effectiveness of the restraint conditions introduced by the surrounding structures, a PDF was selected to represent the initial hypotheses about the effective height.…”

Section: (Iii) Lateral Restraint Conditionmentioning

confidence: 99%

“…The scientific literature has already shown the key role played by the masonry elastic modulus and the effective height in the identification of the dynamic behaviour of non-isolated masonry towers [34,35]. This suggests, when the experimental data of the natural periods are collected, that the application of the BMu framework can consider the vector θ as composed by the elastic modulus, E, and the effective height of the tower, h. The Bayesian paradigm is here employed to update the PDF of the component of the vector.…”

Section: (A) Bayesian Model Updatingmentioning

confidence: 99%

A Bayesian model updating framework for robust seismic fragility analysis of non-isolated historic masonry towers

Bartoli

Betti

Marra

et al. 2019

Phil. Trans. R. Soc. A.

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Seismic assessment of existing masonry structures requires a numerical model able to both reproduce their nonlinear behaviour and account for the different sources of uncertainties; the latter have to be dealt with since the unavoidable lack of knowledge on the input parameters (material properties, geometry, boundary conditions, etc.) has a relevant effect on the reliability of the seismic response provided by the numerical approaches. The steadily increasing necessity of combining different sources of information/knowledge makes the Bayesian approach an appealing technique, not yet fully investigated for historic masonry constructions. In fact, while the Bayesian paradigm is currently employed to solve inverse problems in several sectors of the structural engineering domain, only a few studies pay attention to its effectiveness for parameter identification on historic masonry structures. This study combines a Bayesian framework with probabilistic structural analyses: starting from the Bayesian finite element model updating by using experimental data it provides the definition of robust seismic fragility curves for non-isolated masonry towers. A comparison between this method and the standard deterministic approach illustrates its benefits. This article is part of the theme issue ‘Environmental loading of heritage structures’.

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“…A first step in this direction is the definition of an accurate numerical model of the structure in its actual conditions, including the identification of possible damages. To this respect, the identification of modal properties, as natural frequencies, modal damping coefficients and mode shapes in a linear elastic structure can be used to verify the correspondence of a Finite Element (FE) model of the structure to its real behaviour, updating the numerical model on the base of experimental tests (D'Ambrisi et al 2012;Diaferio et al 2015Diaferio et al , 2018Gentile and Saisi 2010;Potenza et al 2015;Ivorra et al 2016;Antonacci et al 2012;Sepe et al 2005aSepe et al , b, 2017Valente et al 2016;Bedon et al 2016). Moreover, the experimental modal analysis techniques are able to highlight some peculiarities of the structural response that are usually neglected or that are difficult to be evaluated in the design process (as the influence of the non-structural elements on the dynamical response of the building, the presence of inhomogeneities, etc.…”

Section: Introductionmentioning

confidence: 99%

Modal identification of localised damage in beams and trusses: experimental and numerical results

Diaferio

Sepe

Bellizzotti³

2019

Int J Adv Struct Eng

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The paper discusses the possibility of detecting local damages in complex structures typical of civil engineering, as multispan beams and trusses. Namely, it describes a procedure to identify localised cracks in structures in the elastic range of behaviour using only the values of natural frequencies in the intact configuration and in the damaged one evaluated by means of dynamic tests. The error minimisation procedure described in the paper selects the solution within a set of finite element models that simulate a range of positions and levels of damage, by identifying the damaged configuration as the one whose modal frequencies minimise the least-square difference with the measured data. The accuracy of the method is first investigated by applying it to the damage detection of a two-span steel beam, whose modal frequencies were obtained by means of experimental tests. To explore the accuracy of the proposed procedure, numerically simulated data with random noise were also generated for several positions and levels of damage and for different values of the random noise. The procedure was then extended, by means of numerical simulations, to the case of a beam with two localised damages. Finally, the procedure proposed for multispan beams is adapted to the damage identification of plane truss structures.

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Prediction of the fundamental frequencies and modal shapes of historic masonry towers by empirical equations based on experimental data

Cited by 47 publications

References 25 publications

Simplified Formulations for Estimating the Main Frequencies of Ancient Masonry Churches

Simplified Formulations for Estimating the Main Frequencies of Ancient Masonry Churches

A Bayesian model updating framework for robust seismic fragility analysis of non-isolated historic masonry towers

Modal identification of localised damage in beams and trusses: experimental and numerical results

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