Numerical analysis of historical masonry domes: A study of St. Peter’s Basilica dome

Jasieńko, Jerzy; Raszczuk, Krzysztof; Kleszcz, Kajetan; Frąckiewicz, Piotr

doi:10.1016/j.istruc.2021.01.082

Cited by 17 publications

(11 citation statements)

References 14 publications

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“…The robust performance of the arch roofs of the old masonry domes demonstrated the need for structural integrity (see Figure 4 a). As a result, masonry domes should always be investigated numerically and experimentally in order to obtain enhanced performance maintenance [ 30 ].…”

Section: Seismic Behaviour Of the Structures In Bam Earthquakementioning

confidence: 99%

Application of Shape Memory Alloys in Retrofitting of Masonry and Heritage Structures Based on Their Vulnerability Revealed in the Bam 2003 Earthquake

et al. 2021

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For decades, one of the most critical considerations of civil engineers has been the construction of structures that can sufficiently resist earthquakes. However, in many parts of the globe, ancient and contemporary buildings were constructed without regard for engineering; thus, there is a rising necessity to adapt existing structures to avoid accidents and preserve historical artefacts. There are various techniques for retrofitting a masonry structure, including foundation isolations, the use of Fibre-Reinforced Plastics (FRPs), shotcrete, etc. One innovative technique is the use of Shape Memory Alloys (SMAs), which improve structures by exhibiting high strength, good re-centring capabilities, self-repair, etc. One recent disastrous earthquake that happened in the city of Bam, Iran, (with a large proportion of masonry buildings) in 2003, with over 45,000 casualties, is analysed to discover the primary causes of the structural failure of buildings and its ancient citadel. It is followed by introducing the basic properties of SMAs and their applications in retrofitting masonry buildings. The outcomes of preceding implementations of SMAs in retrofitting of masonry buildings are then employed to present two comprehensive schemes as well as an implementation algorithm for strengthening masonry structures using SMA-based devices.

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Section: Seismic Behaviour Of the Structures In Bam Earthquakementioning

confidence: 99%

Application of Shape Memory Alloys in Retrofitting of Masonry and Heritage Structures Based on Their Vulnerability Revealed in the Bam 2003 Earthquake

et al. 2021

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“…A three-dimensional numerical model based on the Finite Element (FE) method and following a macro-modelling approach was assumed. Such choice is supported by an extensive literature that used FE model to numerical assess masonry structures in general, and domes in particular (Gabriele Milani, et al 2019;Scacco, Milani, and Lourenço 2020;Jasieńko, et al 2021;Fanning, and Boothby 2001;Bacigalupo, Brencich, and Gambarotta 2013;Bartoli, Betti, and Borri 2015;Cavalagli, and Gusella 2014).…”

Section: Framework and Objectivesmentioning

confidence: 99%

“…Several works exist, but an advanced numerical simulation aimed at the structural assessment of the St. Peter's dome is still lacking. Recent work by Jasieńko et al tried to cope with the latter (Jasieńko, et al 2021), in which an elasto-plastic three-dimensional numerical model of the dome and drum was developed. However, only the non-strengthened configuration was considered, which does not represent the current state (strengthened with six iron rings) of the dome.…”

Section: Introductionmentioning

confidence: 99%

Real-time Structural Stability of Domes through Limit Analysis: Application to St. Peter’s Dome

Funari

Silva

Mousavian

et al. 2021

International Journal of Architectural Heritage

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Real-time structural stability of domes through limit analysis: application to St. Peter's domeA digital tool is presented and made available for the rapid structural assessment of historic masonry domes. It is especially suited for masonry domes that present long meridian cracks; ergo partitioned slices governed by a pushing failure mode.The proposed procedure considers a Heyman's no-tension mechanical model that has been implemented within a user-friendly visual programming environment.The numerical approach includes parametric modelling of the failure mechanism that allows exploring the domain of solutions using the kinematic theorem of limit analysis. A heuristic search method is subsequently adopted to refine the geometry of the collapse mechanism and to compute the value of the horizontal trust. Validation of the results has been achieved considering St. Peter's dome.As reported in the literature, the behaviour of this dome shifted from a rigid shelltypestiffened by hoop stressestowards a pushing type of dome partitioned by long meridian cracks. Unlike time-consuming and advanced methods of analysis, the present procedure allows the users to perform a structural assessment of a historic masonry dome in few seconds and offers the possibility of including: (i) the dome's drum in the analysis, if applicable; and (ii) rings as strengthening measure, whose number, position (dome or drum) and material (capacity) are user-defined. The goal is to make the tool easily and freely at the disposal of students, researchers, and structural engineers.

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“…In some studies, the quasi-brittle behavior of the materials from which the domes are constructed is also taken into account; cf. [11,12]. Domes are characterized by a very advantageous area-to-volume ratio, hence being attractive from the point of view of sustainability; this is why their thermal properties are the subject of intensive studies [13,14].…”

Section: Introductionmentioning

confidence: 99%

In-Depth Verification of a Numerical Model for an Axisymmetric RC Dome

2021

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The designers of civil engineering structures often have to face the problem of the reliability of complex computational analyses performed most often with the Finite Element Method (FEM). Any assessment of reliability of such analyses is difficult and can only be approximate. The present paper puts forward a new method of verification and validation of the structural analyses upon an illustrative example of a dome strengthened by circumferential ribs along the upper and lower edges. Four computational systems were used, namely Abaqus, Autodesk Robot, Dlubal RFEM, and FEAS. Different models were also analyzed—two-dimensional (2D) and three-dimensional (3D) ones using continuum, bar, and shell finite elements. The results of the static (with two kinds of load—self-weight and load distributed along the upper ring) and modal analyses are presented. A detailed comparison between the systems’ and models’ predictions was made. In general, the spatial models predicted a less stiff behavior of the analyzed dome than the planar models. The good agreement between different models and systems was obtained for the first natural frequency with axisymmetric eigenmodes (except from the Autodesk Robot system). The presented approach to the verification of complex shell–bar models can be effectively applied by structural designers.

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Numerical analysis of historical masonry domes: A study of St. Peter’s Basilica dome

Cited by 17 publications

References 14 publications

Application of Shape Memory Alloys in Retrofitting of Masonry and Heritage Structures Based on Their Vulnerability Revealed in the Bam 2003 Earthquake

Application of Shape Memory Alloys in Retrofitting of Masonry and Heritage Structures Based on Their Vulnerability Revealed in the Bam 2003 Earthquake

Real-time Structural Stability of Domes through Limit Analysis: Application to St. Peter’s Dome

In-Depth Verification of a Numerical Model for an Axisymmetric RC Dome

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