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Master's Dissertation
DOI
10.11606/D.18.2005.tde-30062005-000740
Document
Author
Full name
Gustavo Cabrelli Nirschl
E-mail
Institute/School/College
Knowledge Area
Date of Defense
Published
São Carlos, 2005
Supervisor
Committee
Proenca, Sergio Persival Baroncini (President)
Bernardes, Haroldo de Mayo
Savassi, Walter
Title in Portuguese
Método dos elementos finitos e técnicas de enriquecimento da aproximação aplicados à análise de tubos cilíndricos e cascas esféricas
Keywords in Portuguese
casca esférica
método dos elementos finitos
técnicas de enriquecimento
tubo cilíndrico
Abstract in Portuguese
Sabe-se que o Método dos Elementos Finitos em sua forma convencional é uma ferramenta poderosa no cálculo estrutural moderno. Porém, se o problema apresenta singularidades, como os efeitos de borda tipicamente introduzidos pelos vínculos nas estruturas em casca, a análise pode exigir alto refinamento da malha. Procurando resolver mais eficientemente esse tipo de problema, especificamente em estruturas com simetria de revolução como os tubos cilíndricos e as cascas esféricas, apresentam-se neste trabalho alternativas não convencionais para o emprego do Método dos Elementos Finitos. Dadas as simetrias de forma e carregamento, a abordagem pode ser feita em campo unidimensional. São apresentadas as respostas analíticas, em termos de deslocamentos e esforços, para as estruturas citadas, partindo-se de suas equações diferenciais governantes. Em seguida, as formas fracas correspondentes são resolvidas pelo Método dos Elementos Finitos, incorporando-se alguns tipos de enriquecimento que aproveitam a estrutura deste método. Por fim, são comparados os resultados aproximados entre si e com relação aos analíticos, comprovando o grande potencial das alternativas sugeridas.
Title in English
Finite Element Method and techniques of enrichment of approximation applied to the analysis of cylindrical tubes and spherical shells
Keywords in English
cilindrical tube
finite element method
spherical shell
techniques of enrichment
Abstract in English
It is known that the Finite Element Method in its conventional form is a powerful technique in the modern structural calculus. However, if the problem has singularities, as boundary effects typically introduced by the support into shell structures, the analysis may demand high refinement of the mesh. In order to resolve this type of problem more efficiently, particularly in structures with symmetry of revolution as cylindrical tubes and spherical shells, this dissertation presents non-conventional alternatives for the employment of the Finite Element Method. Due to the form and load symmetry, the treatment can be made in one-dimensional system. The analytical responses, in terms of displacements and efforts, are recovered to the mentioned structures, from their governing differential equations. Next, corresponding weak forms are resolved by the Finite Element Method and some types of enrichment that utilize the structure of this method are incorporated. Finally, the approach results are compared among themselves and with analytical results, proving the great potential of the suggested alternatives
 
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Dissertacao_Nirschl.pdf (829.24 Kbytes)
Publishing Date
2005-07-07
 
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