Método dos elementos finitos e técnicas de enriquecimento da aproximação aplicados à análise de tubos cilíndricos e cascas esféricas / Finite Element Method and techniques of enrichment of approximation applied to the analysis of cylindrical tubes and spherical shells
AUTOR(ES)
Gustavo Cabrelli Nirschl
DATA DE PUBLICAÇÃO
2005
RESUMO
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
ASSUNTO(S)
método dos elementos finitos cilindrical tube técnicas de enriquecimento casca esférica tubo cilíndrico spherical shell techniques of enrichment finite element method
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