Desenvolvimento de elementos finitos quadrilaterais subparametricos para analise de placas

AUTOR(ES)
DATA DE PUBLICAÇÃO

1997

RESUMO

A set of quadrilateral subparametrics finite elements for thin and moderately thick plate analysis were developed using the concept of degenerated solids, based on the theory of Mindlin-Reissner. The elements geometry interpolation is done using the quadratic quadrilateral element with eight nodes from Serendipity family. The displacement field is interpolated from a four nodes quadrilateral element through polynomials associated to the nodes and to the interior of the elemento Six different interpolation schemes were used, resulting in six distinct subparametric formulations, using polynomials of first, third and fourth order. Each scheme generates five physical degrees of freedom per node and three nonphysical degrees of freedom associated to each internal polynomial. The stiffness matrix and load vectors are obtained through reduced numerical integration, using (2x2) points of integration in the middle plane of the plate. Computer programs for the formulations were developed using C language. The results for several geometries and boundary conditions were compared to the performance of classical elements and those used by commercial software. The conc1usion is that the formulation developed in this work is attractive due to its simplicity and computational efficiency. Nodal linear polynomials associated with internal fourth degree polynomial had the best performance

ASSUNTO(S)

placas e cascas elasticas engenharia de estruturas metodo dos elementos finitos

ACESSO AO ARTIGO

Documentos Relacionados