A Quadratic Elasticity Formulation for Dynamic Interacting Structures in Flow

The deformation of slender elastic structures due to the motion of surrounding fluid is a common multiphysics problem encountered in many applications. In this work we detail the development of a numerical model capable of solving such strongly-coupled fluid-structure interaction problems, and analy...

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Autores principales:	Suliman Ridhwaan, Oxtoby Oliver
Formato:	article
Lenguaje:	EN FR
Publicado:	EDP Sciences 2021
Materias:	Engineering (General). Civil engineering (General) TA1-2040
Acceso en línea:	https://doaj.org/article/a43cdb7db5ce46149ad70f1b4251f6bf
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id	oai:doaj.org-article:a43cdb7db5ce46149ad70f1b4251f6bf
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spelling	oai:doaj.org-article:a43cdb7db5ce46149ad70f1b4251f6bf2021-12-02T17:13:35ZA Quadratic Elasticity Formulation for Dynamic Interacting Structures in Flow2261-236X10.1051/matecconf/202134700033https://doaj.org/article/a43cdb7db5ce46149ad70f1b4251f6bf2021-01-01T00:00:00Zhttps://www.matec-conferences.org/articles/matecconf/pdf/2021/16/matecconf_sacam21_00033.pdfhttps://doaj.org/toc/2261-236XThe deformation of slender elastic structures due to the motion of surrounding fluid is a common multiphysics problem encountered in many applications. In this work we detail the development of a numerical model capable of solving such strongly-coupled fluid-structure interaction problems, and analyse the dynamic behaviour of multiple interacting bodies under fluid loading. In most fluid-structure interaction problems the deformation of slender elastic bodies is significant and cannot be described by a purely linear analysis. We present a new formulation to model these larger displacements. By extending the standard modal analysis technique for linear structural analysis, the governing equations and boundary conditions are updated to account for non-linear terms and a new modal formulation with quadratic modes is derived. The quadratic modal approach is tested on standard benchmark problems of increasing complexity and compared with analytical and full non-linear numerical solutions. An analysis of the dynamic interactions between multiple finite plates in various configurations under fluid loading, as well as the effects of the spacing between the structures, is also conducted. Numerical results are compared with theoretical and experimental approaches. The inverted hydrodynamic drafting effect of elastic bodies in an in-line configuration can be confirmed from our numerical simulations.Suliman RidhwaanOxtoby OliverEDP SciencesarticleEngineering (General). Civil engineering (General)TA1-2040ENFRMATEC Web of Conferences, Vol 347, p 00033 (2021)
institution	DOAJ
collection	DOAJ
language	EN FR
topic	Engineering (General). Civil engineering (General) TA1-2040
spellingShingle	Engineering (General). Civil engineering (General) TA1-2040 Suliman Ridhwaan Oxtoby Oliver A Quadratic Elasticity Formulation for Dynamic Interacting Structures in Flow
description	The deformation of slender elastic structures due to the motion of surrounding fluid is a common multiphysics problem encountered in many applications. In this work we detail the development of a numerical model capable of solving such strongly-coupled fluid-structure interaction problems, and analyse the dynamic behaviour of multiple interacting bodies under fluid loading. In most fluid-structure interaction problems the deformation of slender elastic bodies is significant and cannot be described by a purely linear analysis. We present a new formulation to model these larger displacements. By extending the standard modal analysis technique for linear structural analysis, the governing equations and boundary conditions are updated to account for non-linear terms and a new modal formulation with quadratic modes is derived. The quadratic modal approach is tested on standard benchmark problems of increasing complexity and compared with analytical and full non-linear numerical solutions. An analysis of the dynamic interactions between multiple finite plates in various configurations under fluid loading, as well as the effects of the spacing between the structures, is also conducted. Numerical results are compared with theoretical and experimental approaches. The inverted hydrodynamic drafting effect of elastic bodies in an in-line configuration can be confirmed from our numerical simulations.
format	article
author	Suliman Ridhwaan Oxtoby Oliver
author_facet	Suliman Ridhwaan Oxtoby Oliver
author_sort	Suliman Ridhwaan
title	A Quadratic Elasticity Formulation for Dynamic Interacting Structures in Flow
title_short	A Quadratic Elasticity Formulation for Dynamic Interacting Structures in Flow
title_full	A Quadratic Elasticity Formulation for Dynamic Interacting Structures in Flow
title_fullStr	A Quadratic Elasticity Formulation for Dynamic Interacting Structures in Flow
title_full_unstemmed	A Quadratic Elasticity Formulation for Dynamic Interacting Structures in Flow
title_sort	quadratic elasticity formulation for dynamic interacting structures in flow
publisher	EDP Sciences
publishDate	2021
url	https://doaj.org/article/a43cdb7db5ce46149ad70f1b4251f6bf
work_keys_str_mv	AT sulimanridhwaan aquadraticelasticityformulationfordynamicinteractingstructuresinflow AT oxtobyoliver aquadraticelasticityformulationfordynamicinteractingstructuresinflow AT sulimanridhwaan quadraticelasticityformulationfordynamicinteractingstructuresinflow AT oxtobyoliver quadraticelasticityformulationfordynamicinteractingstructuresinflow
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A Quadratic Elasticity Formulation for Dynamic Interacting Structures in Flow

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