Analysis of laminated beams using the natural neighbour radial point interpolation method

• Tipo: Artigo em Revista Científica Internacional
• Data: 2014

Autores

Moreira, S (Autor) Outra; Belinha, J (Autor) FEUP; Dinis, LMJS (Autor) Outra; Natal Jorge, RMN (Autor) Outra

Revista

Título: Revista Internacional de Metodos Numericos para Calculo y Diseno en Ingenieria

Vol. 30

Páginas: 108-120

ISSN: 0213-1315

Editora: Scipedia S.L

Indexação

ISI Web of Knowledge - 12 Citações

Scopus - 33 Citações

Classificação Científica

FOS: Ciências da engenharia e tecnologias > Outras ciências da engenharia e tecnologias

Outras Informações

ID Authenticus: P-009-DFF

DOI: 10.1016/j.rimni.2013.02.002

Abstract (EN): In this work, a meshless method, "natural neighbour radial point interpolation method" (NNRPIM), is applied to the one-dimensional analysis of laminated beams, considering the theory of Timoshenko. The NNRPIM combines the mathematical concept of natural neighbours with the radial point interpolation. Voronoi diagrams allows to impose the nodal connectivity and the construction of a background mesh for integration purposes, via influence cells. The construction of the NNRPIM interpolation functions is shown, and, for this, it is used the multiquadratic radial basis function. The generated interpolation functions possess infinite continuity and the delta Kronecker property, which facilitates the enforcement of boundary conditions, since these can be directly imposed, as in the finite element method (FEM). In order to obtain the displacements and the deformation fields, it is considered the Timoshenko theory for beams under transverse efforts. Several numerical examples of isotropic beams and laminated beams are presented in order to demonstrate the convergence and accuracy of the proposed application. The results obtained are compared with analytical solutions available in the literature.

Idioma: Espanhol

Tipo (Avaliação Docente): Científica

Nº de páginas: 13