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Advisor(s)
Abstract(s)
Os modelos a ser analisados pelo Método de Elementos Finitos são cada vez mais
complexos e, nos tempos que correm, seria impensável realizar tais análises sem um apoio
computorizado. Existe para esta finalidade uma vasta gama de programas que permitem
realizar tarefas que passam pelo desenho de estruturas, análise estática de cargas, análise
dinâmica e vibrações, visualização do comportamento físico (deformações) em tempo real,
que permitem a otimização da estrutura.
Sob o pretexto de permitir a qualquer utilizador uma análise de estruturas simples com o
Método dos Elementos Finitos, surge esta tese, onde se irá criar de raiz um programa com
interface gráfica no ambiente MATLAB® para análise de estruturas simples com dois tipos
de elemento finito, triangular de deformação constante e quadrangular de deformação
linear.
O software desenvolvido, verificado por comparação com um software comercial dedicado
para o efeito, efetua malhagem com elementos bidimensionais triangulares e quadriláteros
e resolve modelos arbitrados pelo Método de Elementos Finitos, representando estes
resultados visualmente e em formato tabular.
Models analized by the Finite Element Method are increasingly complex and, nowadays, it would be unthinkable to do such analyses without digital computer support. With this purpose, a vast array of programs is available that enable conducting tasks including structural design, static and dynamic loading and vibration analysis, visualization of the deformed shape in real time,which allows the optimization of the structure. With the idea of allowing any user to perform a simple structural analysis with the Finite Element Method in mind, this thesis is proposed to create a graphical interface in the MATLAB® environment to study such structures with two types of finite element, constant strain triangle and linear strain quadrilateral. The developed software, verified by comparison with a dedicated software for this analysis, meshes the models with bidimensional triangular and quadrilateral elements, solving them using the Finite Element Method, with a visual and table representation.
Models analized by the Finite Element Method are increasingly complex and, nowadays, it would be unthinkable to do such analyses without digital computer support. With this purpose, a vast array of programs is available that enable conducting tasks including structural design, static and dynamic loading and vibration analysis, visualization of the deformed shape in real time,which allows the optimization of the structure. With the idea of allowing any user to perform a simple structural analysis with the Finite Element Method in mind, this thesis is proposed to create a graphical interface in the MATLAB® environment to study such structures with two types of finite element, constant strain triangle and linear strain quadrilateral. The developed software, verified by comparison with a dedicated software for this analysis, meshes the models with bidimensional triangular and quadrilateral elements, solving them using the Finite Element Method, with a visual and table representation.
Description
Keywords
EPT EPD Estado plano de tensão Estado plano de deformação Método Elementos finitos Placas finas MATLAB® ABAQUS® Interface gráfica Comparação PS PE Plain stress Plane strain Method Finite elements Thin plates Código Code Graphical interface Comparison