Uncertainties in the Seismic Assessment of Historical Masonry Buildings

Seismic assessments of historical masonry buildings are affected by several sources of epistemic uncertainty. These are mainly the material and the modelling parameters and the displacement capacity of the elements. Additional sources of uncertainty lie in the non-linear connections, such as wall-to...

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Main Authors: Igor Tomić, Francesco Vanin, Katrin Beyer
Format: Article
Language:English
Published: MDPI AG 2021-03-01
Series:Applied Sciences
Subjects:
Online Access:https://www.mdpi.com/2076-3417/11/5/2280
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author Igor Tomić
Francesco Vanin
Katrin Beyer
author_facet Igor Tomić
Francesco Vanin
Katrin Beyer
author_sort Igor Tomić
collection DOAJ
description Seismic assessments of historical masonry buildings are affected by several sources of epistemic uncertainty. These are mainly the material and the modelling parameters and the displacement capacity of the elements. Additional sources of uncertainty lie in the non-linear connections, such as wall-to-wall and floor-to-wall connections. Latin Hypercube Sampling was performed to create 400 sets of 11 material and modelling parameters. The proposed approach is applied to historical stone masonry buildings with timber floors, which are modelled by an equivalent frame approach using a newly developed macroelement accounting for both in-plane and out-of-plane failure. Each building is modelled first with out-of-plane behaviour enabled and non-linear connections, and then with out-of-plane behaviour disabled and rigid connections. For each model and set of parameters, incremental dynamic analyses are performed until building failure and seismic fragility curves derived. The key material and modelling parameters influencing the performance of the buildings are determined based on the peak ground acceleration at failure, type of failure and failure location. This study finds that the predicted PGA at failure and the failure mode and location is as sensitive to the properties of the non-linear connections as to the material and displacement capacity parameters, indicating that analyses must account for this uncertainty to accurately assess the in-plane and out-of-plane failure modes of historical masonry buildings. It also shows that modelling the out-of-plane behaviour produces a significant impact on the seismic fragility curves.
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spelling doaj.art-1fb4248ab4524f9eaa8bef89e0cd329f2023-12-03T12:32:42ZengMDPI AGApplied Sciences2076-34172021-03-01115228010.3390/app11052280Uncertainties in the Seismic Assessment of Historical Masonry BuildingsIgor Tomić0Francesco Vanin1Katrin Beyer2École Polytechnique Fédérale de Lausanne (EPFL), School of Architecture, Civil and Environmental Engineering (ENAC), Earthquake Engineering and Structural Dynamics Laboratory (EESD), 1015 Lausanne, SwitzerlandÉcole Polytechnique Fédérale de Lausanne (EPFL), School of Architecture, Civil and Environmental Engineering (ENAC), Earthquake Engineering and Structural Dynamics Laboratory (EESD), 1015 Lausanne, SwitzerlandÉcole Polytechnique Fédérale de Lausanne (EPFL), School of Architecture, Civil and Environmental Engineering (ENAC), Earthquake Engineering and Structural Dynamics Laboratory (EESD), 1015 Lausanne, SwitzerlandSeismic assessments of historical masonry buildings are affected by several sources of epistemic uncertainty. These are mainly the material and the modelling parameters and the displacement capacity of the elements. Additional sources of uncertainty lie in the non-linear connections, such as wall-to-wall and floor-to-wall connections. Latin Hypercube Sampling was performed to create 400 sets of 11 material and modelling parameters. The proposed approach is applied to historical stone masonry buildings with timber floors, which are modelled by an equivalent frame approach using a newly developed macroelement accounting for both in-plane and out-of-plane failure. Each building is modelled first with out-of-plane behaviour enabled and non-linear connections, and then with out-of-plane behaviour disabled and rigid connections. For each model and set of parameters, incremental dynamic analyses are performed until building failure and seismic fragility curves derived. The key material and modelling parameters influencing the performance of the buildings are determined based on the peak ground acceleration at failure, type of failure and failure location. This study finds that the predicted PGA at failure and the failure mode and location is as sensitive to the properties of the non-linear connections as to the material and displacement capacity parameters, indicating that analyses must account for this uncertainty to accurately assess the in-plane and out-of-plane failure modes of historical masonry buildings. It also shows that modelling the out-of-plane behaviour produces a significant impact on the seismic fragility curves.https://www.mdpi.com/2076-3417/11/5/2280stone masonryseismic assessmentequivalent frame modelsuncertainty analysisLatin hypercube samplingincremental dynamic analysis
spellingShingle Igor Tomić
Francesco Vanin
Katrin Beyer
Uncertainties in the Seismic Assessment of Historical Masonry Buildings
Applied Sciences
stone masonry
seismic assessment
equivalent frame models
uncertainty analysis
Latin hypercube sampling
incremental dynamic analysis
title Uncertainties in the Seismic Assessment of Historical Masonry Buildings
title_full Uncertainties in the Seismic Assessment of Historical Masonry Buildings
title_fullStr Uncertainties in the Seismic Assessment of Historical Masonry Buildings
title_full_unstemmed Uncertainties in the Seismic Assessment of Historical Masonry Buildings
title_short Uncertainties in the Seismic Assessment of Historical Masonry Buildings
title_sort uncertainties in the seismic assessment of historical masonry buildings
topic stone masonry
seismic assessment
equivalent frame models
uncertainty analysis
Latin hypercube sampling
incremental dynamic analysis
url https://www.mdpi.com/2076-3417/11/5/2280
work_keys_str_mv AT igortomic uncertaintiesintheseismicassessmentofhistoricalmasonrybuildings
AT francescovanin uncertaintiesintheseismicassessmentofhistoricalmasonrybuildings
AT katrinbeyer uncertaintiesintheseismicassessmentofhistoricalmasonrybuildings