NURBS e o método isogeométrico
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Data
2016-02-26
Autores
Rocha, Franciane Fracalossi
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Universidade Federal do Espírito Santo
Resumo
The isogeometric method proposes the use of NURBS (Non Uniform Rational Basis Spline) basis of functions for the partial differential equations solutions space, it is inspired by the finite element method. NURBS curves and surfaces are tools used in geometric computational modeling to represent objects. This dissertation deals with the NURBS basis and the NURBS curves and surfaces construction, considering mathematical concepts and emphasizing the main properties. It also presents the NURBS basis application on isogeometric method, detailing the formulation in one and two dimensions. With this, we will approach the Laplace and heat partial differential equations solution through the isogeometric method.
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Análise isogeométrica , Isogeometric analysis , B-splines , NURBS curves , Curvas NURBS , NURBS surfaces , Superfícies NURBS