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

• Type: Article in International Scientific Journal
• Date: 2014

Authors

Moreira, S (Author) Other; Belinha, J (Author) FEUP; Dinis, LMJS (Author) Other; Natal Jorge, RMN (Author) Other

Journal

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

Vol. 30

Pages: 108-120

ISSN: 0213-1315

Publisher: Scipedia S.L

Indexing

ISI Web of Knowledge - 12 Citations

Scopus - 33 Citations

Scientific classification

FOS: Engineering and technology > Other engineering and technologies

Other information

Authenticus ID: 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.

Language: Spanish

Type (Professor's evaluation): Scientific

No. of pages: 13