Abstract

Identifying and quantifying the potential causes of damages to a construction and evaluating its current stability have become an imperative task in today’s world. However, the existence of variables, unknown conditions and a complex geometry hinder such work, by hampering the numerical results that simulate its behavior. Of the mentioned variables, the following can be highlighted: (i) the lack of historical information; (ii) the mechanical properties of the material; (iii) the initial geometry and (iv) the interaction with other structures. Within the field of remote sensors, the laser scanner and photogrammetric systems have become especially valuable for construction analysis. Such sensors are capable of providing highly accurate and dense geometrical data with which to assess a building’s condition. It is also remarkable, that the latter provide valuable radiometric data with which to identify the properties of the materials, and also evaluate and monitor crack patterns. Motivated by this, the present article investigates the potential offered by the combined use of photogrammetric techniques (DIC and SfM), as well as geometrical (NURBs and Hausdorff distance) and numerical strategies (FEM) to assess the origin of the damage (through an estimation of the initial conditions) and give an evaluation of the current stability (considering the deformation and the damage).

Highlights

  • The conservation of built heritage is today considered a fundamental aspect of modern society

  • In order to confirm the feasibility of the proposed geometrical strategies (GHms, LHms and Non-Uniform Rational B-Splines (NURBs) modelling), they are applied to a case study: the dome of the church of San Lorenzo in Sejas de Aliste (Zamora, Spain)

  • The article is organized as follows: Section 1 consists of an introduction and brief state of the art, Section 2 describes the different image-based techniques that were employed; Section 3 is made up of the description of the construction, the current deformation, damage, and the numerical aspect through the Finite Element Method (FEM); Section 4 describes two robustness indices based on geometrical discrepancies, a manual calibration of the model and a complementary strategy to evaluate the current stability of the construction; and Section 5 shows the conclusions

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Summary

Introduction

The conservation of built heritage is today considered a fundamental aspect of modern society. The large number of involved variables, as well as interaction with other structures, conditions the results It is in the field of built constructions where remote sensors and especially photogrammetric and laser scanner systems have proven great worth for their analysis [3,8,9,10]. In order to confirm the feasibility of the proposed geometrical strategies (GHms , LHms and NURBs modelling), they are applied to a case study: the dome of the church of San Lorenzo in Sejas de Aliste (Zamora, Spain) This construction, built in brick masonry, has suffered severe structural damages, shown through significant deformation, cracking and plastic hinges that reduce its bearing capacity. The article is organized as follows: Section 1 consists of an introduction and brief state of the art, Section 2 describes the different image-based techniques that were employed; Section 3 is made up of the description of the construction, the current deformation, damage, and the numerical aspect through the FEM; Section 4 describes two robustness indices based on geometrical discrepancies, a manual calibration of the model and a complementary strategy to evaluate the current stability of the construction (considering the complex geometry and the presented cracking); and Section 5 shows the conclusions

Image Based Approaches
Image-Based Modelling
San Lorenzo
Present Damage and Deformation
Numerical
Global and Local
Graphical distribution of of thethedifferent symmetricalHausdorff
54 Node Displacement
Conclusions

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