A local radial basis functions-Finite differences technique for the analysis of composite plates

• Tipo: Artigo em Revista Científica Internacional
• Data: 2011

Autores

Roque, CMC (Autor) FEUP; Cunha, D (Autor) Outra; Shu, C (Autor) Outra; Ferreira, AJM (Autor) FEUP

Revista

Título: Engineering Analysis with Boundary Elements

Vol. 35

Páginas: 363-374

ISSN: 0955-7997

Editora: Elsevier

Indexação

ISI Web of Knowledge - 34 Citações

Scopus - 48 Citações

Classificação Científica

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

Outras Informações

ID Authenticus: P-002-TVX

DOI: 10.1016/j.enganabound.2010.09.012

Abstract (EN): Radial basis functions are a very accurate means of solving interpolation and partial differential equations problems. The global radial basis functions collocation technique produces ill-conditioning matrices when using multiquadrics, making the choice of the shape parameter a crucial issue. The use of local numerical schemes, such as finite differences produces much better conditioned matrices. However, finite difference schemes are limited to special grids. For scattered points, a combination of finite differences and radial basis functions would be a possible solution. In this paper, we use a higher-order shear deformation plate theory and a radial basis function-finite difference technique for predicting the static behavior of thin and thick composite plates. Through numerical experiments on square and L-shaped plates, the accuracy and efficiency of this collocation technique is demonstrated, and the numerical accuracy and convergence are thoughtfully examined. This technique shows great potential to solve large engineering problems without the issue of ill-conditioning.

Idioma: Inglês

Tipo (Avaliação Docente): Científica

Nº de páginas: 12