Análise dinâmica de estruturas de barra empregando o método dos elementos finitos com funções de forma B-Splines não uniformes

For a long time, structural engineering has been searching for the improvement of numerical methods and more accurate analysis. Currently the most applied and known numerical method for structural analysis structures is the Finite Element Method. Recently, Bonet et al. (2000) and Coda (2003) present...

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Autor principal: Malaguti, Ana Kelle
Formato: Trabalho de Conclusão de Curso (Graduação)
Publicado em: Universidade Tecnológica Federal do Paraná 2020
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Acesso em linha: http://repositorio.utfpr.edu.br/jspui/handle/1/14435
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Resumo: For a long time, structural engineering has been searching for the improvement of numerical methods and more accurate analysis. Currently the most applied and known numerical method for structural analysis structures is the Finite Element Method. Recently, Bonet et al. (2000) and Coda (2003) presented one formulation based on the nodal positions, so called positional formulation, which is robust and simple to implement. In this paper, the finite element method in positional formulation is used for frames structures analysis considering the effects of geometric nonlinearity and inertial forces. The main purpose is to implementation of non-uniform BSplines as shape functions for the positional formulation. B-Splines, beyond possessing attractive properties, such as positivity, smoothness and local control, are standard CAD functions. Therefore, its use in an efficient program for structural analysis makes easy the integration between design and analysis, reducing time and eliminating errors with mesh generation in the finite element analysis environment.