Structural Engineering and Mechanics

Volume 56, Number 4, 2015, pages 605-623

DOI: 10.12989/sem.2015.56.4.605

Analysis of stiffened plates composed by different materials by the boundary element method

Gabriela R. Fernandes and Joao R. Neto

Abstract

A formulation of the boundary element method (BEM) based on Kirchhoff\'s hypothesis to analyse stiffened plates composed by beams and slabs with different materials is proposed. The stiffened plate is modelled by a zoned plate, where different values of thickness, Poisson ration and Young\'s modulus can be defined for each sub-region. The proposed integral representations can be used to analyze the coupled stretching-bending problem, where the membrane effects are taken into account, or to analyze the bending and stretching problems separately. To solve the domain integrals of the integral representation of in-plane displacements, the beams and slabs domains are discretized into cells where the displacements have to be approximated. As the beams cells nodes are adopted coincident to the elements nodes, new independent values arise only in the slabs domain. Some numerical examples are presented and compared to a wellknown finite element code to show the accuracy of the proposed model.

Key Words

plate bending; boundary elements; stiffened plates; membrane effects; stretching problem

Address

Gabriela R. Fernandes and Joao R. Neto: Civil Engineering Department, Federal University of Goias (UFG), CAC, Av. Dr. Lamartine Pinto de Avelar, 1120, Setor Universitario, CEP 75700-000 Catalao, GO, Brazil