Projection-based hyper-reduced order modeling of stress and reaction fields, and application of static condensation for multibody problems
Computational Mechanics' problems are often solved using the Finite Element Method (FEM). The resulting systems of equations may lead to large data and therefore, the solution requires high memory and time to be computed. This situation can be surpassed by applying Reduced Order Modeling (ROM)...
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| Tipo de recurso: | tesis de maestría |
| Fecha de publicación: | 2021 |
| País: | España |
| Institución: | Universitat Politècnica de Catalunya (UPC) |
| Repositorio: | UPCommons. Portal del coneixement obert de la UPC |
| Idioma: | inglés |
| OAI Identifier: | oai:upcommons.upc.edu:2117/358543 |
| Acceso en línea: | https://hdl.handle.net/2117/358543 |
| Access Level: | acceso abierto |
| Palabra clave: | Finite element method Mathematical models Kratos Multiphysics reduced order model hyper-reduced order model static condensation projection-based multibody problem stress reaction Finite Element Method Elements finits, Mètode dels Models matemàtics Àrees temàtiques de la UPC::Matemàtiques i estadística::Anàlisi numèrica::Mètodes numèrics |
| Sumario: | Computational Mechanics' problems are often solved using the Finite Element Method (FEM). The resulting systems of equations may lead to large data and therefore, the solution requires high memory and time to be computed. This situation can be surpassed by applying Reduced Order Modeling (ROM) techniques, allowing the user to capture the system's dominant effects to build a high-fidelity reduced model that gives the possibility to predict and analyze the behaviour of a complex model using low computational resources within a micro time-step. This paper aims to enrich the already implemented Kratos' Rom Application with a reconstruction of the reaction and 2nd Piola Kirkchhoff stress fields. The applied methodology is a projection-based strategy using the Proper Orthogonal Decomposition together with a Gappy Data reconstruction technique. The gappy data comes from building a hyper-reduced order model (HROM). A surrogate model application using static condensation and HROM techniques is proposed to show the possibility of solving multibody systems interfacing Kratos' ROM framework with Mathworks control capabilities in a fast and accurate way. The validation of the applied methodology is given by 3D complex models. |
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