Analysis of thick plates by local radial basis functions-finite differences method

• Type: Article in International Scientific Journal
• Date: 2012

Authors

Roque, CMC (Author) FEUP; Rodrigues, JD (Author) FEUP; Ferreira, AJM (Author) FEUP

Journal

Title: Meccanica

Vol. 47 No. 5

Pages: 1157-1171

ISSN: 0025-6455

Publisher: Springer Nature

Indexing

ISI Web of Knowledge - 10 Citations

Scopus - 13 Citations

Scientific classification

FOS: Engineering and technology > Mechanical engineering

Other information

Authenticus ID: P-002-9TJ

DOI: 10.1007/s11012-011-9501-6

Abstract (EN): Although global collocation with radial basis functions proved to be a very accurate means of solving interpolation and partial differential equations problems, ill-conditioned matrices are produced, making the choice of the shape parameter a crucial issue. The use of local numerical schemes, such as finite differences produces better conditioned matrices. For scattered points, a combination of finite differences and radial basis functions avoids the limitation of finite differences to be used on special grids. In this paper, we use a higher-order shear and normal deformation plate theory and a radial basis function-finite difference technique for predicting the static behavior of thick 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.

Language: English

Type (Professor's evaluation): Scientific

No. of pages: 15