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Application of Inverse Finite Element Method to Shape Sensing of Curved Beams

Curved beam, plate, and shell finite elements are commonly used in the finite element modeling of a wide range of civil and mechanical engineering structures. In civil engineering, curved elements are used to model tunnels, arch bridges, pipelines, and domes. Such structures provide a more efficient...

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Autores principales: Savino, Pierclaudio, Tondolo, Francesco, Gherlone, Marco, Tessler, Alexander
Formato: Online Artículo Texto
Lenguaje:English
Publicado: MDPI 2020
Materias:
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC7762547/
https://www.ncbi.nlm.nih.gov/pubmed/33302401
http://dx.doi.org/10.3390/s20247012
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author Savino, Pierclaudio
Tondolo, Francesco
Gherlone, Marco
Tessler, Alexander
author_facet Savino, Pierclaudio
Tondolo, Francesco
Gherlone, Marco
Tessler, Alexander
author_sort Savino, Pierclaudio
collection PubMed
description Curved beam, plate, and shell finite elements are commonly used in the finite element modeling of a wide range of civil and mechanical engineering structures. In civil engineering, curved elements are used to model tunnels, arch bridges, pipelines, and domes. Such structures provide a more efficient load transfer than their straight/flat counterparts due to the additional strength provided by their curved geometry. The load transfer is characterized by the bending, shear, and membrane actions. In this paper, a higher-order curved inverse beam element is developed for the inverse Finite Element Method (iFEM), which is aimed at reconstructing the deformed structural shapes based on real-time, in situ strain measurements. The proposed two-node inverse beam element is based on the quintic-degree polynomial shape functions that interpolate the kinematic variables. The element is C(2) continuous and has rapid convergence characteristics. To assess the element predictive capabilities, several circular arch structures subjected to static loading are analyzed, under the assumption of linear elasticity and isotropic material behavior. Comparisons between direct FEM and iFEM results are presented. It is demonstrated that the present inverse beam finite element is both efficient and accurate, requiring only a few element subdivisions to reconstruct an accurate displacement field of shallow and deep curved beams.
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spelling pubmed-77625472020-12-26 Application of Inverse Finite Element Method to Shape Sensing of Curved Beams Savino, Pierclaudio Tondolo, Francesco Gherlone, Marco Tessler, Alexander Sensors (Basel) Article Curved beam, plate, and shell finite elements are commonly used in the finite element modeling of a wide range of civil and mechanical engineering structures. In civil engineering, curved elements are used to model tunnels, arch bridges, pipelines, and domes. Such structures provide a more efficient load transfer than their straight/flat counterparts due to the additional strength provided by their curved geometry. The load transfer is characterized by the bending, shear, and membrane actions. In this paper, a higher-order curved inverse beam element is developed for the inverse Finite Element Method (iFEM), which is aimed at reconstructing the deformed structural shapes based on real-time, in situ strain measurements. The proposed two-node inverse beam element is based on the quintic-degree polynomial shape functions that interpolate the kinematic variables. The element is C(2) continuous and has rapid convergence characteristics. To assess the element predictive capabilities, several circular arch structures subjected to static loading are analyzed, under the assumption of linear elasticity and isotropic material behavior. Comparisons between direct FEM and iFEM results are presented. It is demonstrated that the present inverse beam finite element is both efficient and accurate, requiring only a few element subdivisions to reconstruct an accurate displacement field of shallow and deep curved beams. MDPI 2020-12-08 /pmc/articles/PMC7762547/ /pubmed/33302401 http://dx.doi.org/10.3390/s20247012 Text en © 2020 by the authors. Licensee MDPI, Basel, Switzerland. This article is an open access article distributed under the terms and conditions of the Creative Commons Attribution (CC BY) license (http://creativecommons.org/licenses/by/4.0/).
spellingShingle Article
Savino, Pierclaudio
Tondolo, Francesco
Gherlone, Marco
Tessler, Alexander
Application of Inverse Finite Element Method to Shape Sensing of Curved Beams
title Application of Inverse Finite Element Method to Shape Sensing of Curved Beams
title_full Application of Inverse Finite Element Method to Shape Sensing of Curved Beams
title_fullStr Application of Inverse Finite Element Method to Shape Sensing of Curved Beams
title_full_unstemmed Application of Inverse Finite Element Method to Shape Sensing of Curved Beams
title_short Application of Inverse Finite Element Method to Shape Sensing of Curved Beams
title_sort application of inverse finite element method to shape sensing of curved beams
topic Article
url https://www.ncbi.nlm.nih.gov/pmc/articles/PMC7762547/
https://www.ncbi.nlm.nih.gov/pubmed/33302401
http://dx.doi.org/10.3390/s20247012
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