Enhancing topology optimisation of elastic structures via mesh adaptation
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Estadístiques de LA Referencia / Recolecta
Inclou dades d'ús des de 2022
Cita com:
hdl:2117/385671
Correu electrònic de l'autor12dani.arayagmail.com
Tipus de documentProjecte Final de Màster Oficial
Data2023-01
Condicions d'accésAccés obert
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Reconeixement-NoComercial-SenseObraDerivada 4.0 Internacional
Abstract
Topology optimization aims to find the best layout of material within a design domain to obtain the best performance, according to specific criteria. In many applications, the objective functional depends on the solution of a partial differential equation (PDE), so these problems may be looked as a PDE-constrained optimization problem of a domain-dependent functional. A method based on a reaction-diffusion equation is presented and applied to the design of a linear elastic structure under a minimum compliance requirement. Topology optimization methods can be sensitive to the discretization of the design space, and suffer from mesh dependency issues. To overcome such drawbacks, this work proposes an anisotropic mesh adaptation technique for the reaction-diffusion based optimization method. Implementing the anisotropic mesh adaptation allows us to deliver a final layout characterized by a smooth contour while significantly reducing the computational cost. Several structural benchmarks are given to demonstrate the validity of the proposed approach. In addition, we perform a sensitivity analysis to some parameters, proving the robustness of the method. We also show that complex designs, characterized by a higher number of inner holes, are feasible with remarkable computational efficiency.
TitulacióMÀSTER UNIVERSITARI EN MATEMÀTICA AVANÇADA I ENGINYERIA MATEMÀTICA (Pla 2010)
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TFM_DanielAraya.pdf | 11,27Mb | Visualitza/Obre |