A BEM formulation based on Reissner's theory to perform simple bending analysis of plates reinforced by rectangular beams

Nenhuma Miniatura disponível

Data

2008-10-01

Autores

Fernandes, Gabriela R. [UNESP]
Konda, Danilo H. [UNESP]

Título da Revista

ISSN da Revista

Título de Volume

Editor

Springer

Resumo

In this work, the plate bending formulation of the boundary element method (BEM), based on the Reissner's hypothesis, is extended to the analysis of plates reinforced by rectangular beams. This composed structure is modelled by a zoned plate, being the beams represented by narrow sub-regions with larger thickness. The integral equations are derived by applying the weighted residual method to each sub-region, and summing them to get the equation for the whole plate. Equilibrium and compatibility conditions are automatically imposed by the integral equations, which treat this composed structure as a single body. In order to decrease the number of degrees of freedom, some approximations are considered for both displacements and tractions along the beam width. The accuracy of the proposed model is illustrated by simple examples whose exact solution are known as well as by more complex examples whose numerical results are compared with a well-known finite element code.

Descrição

Palavras-chave

plate bending, boundary elements, stiffened plates, building floor structures

Como citar

Computational Mechanics. New York: Springer, v. 42, n. 5, p. 671-683, 2008.