The natural neighbour radial point interpolation method: dynamic applications

• Type: Article in International Scientific Journal
• Date: 2009

Authors

Dinis, LMJS (Author) FEUP; Natal M N Jorge (Author) FEUP; Belinha, J (Author) FEUP

Journal

Title: Engineering Computations

Vol. 26

Pages: 911-949

ISSN: 0264-4401

Publisher: Emerald

Indexing

ISI Web of Knowledge - 29 Citations

ISI Web of Science

Scopus - 37 Citations

COMPENDEX

INSPEC

Scientific classification

FOS: Engineering and technology > Other engineering and technologies

Other information

Authenticus ID: P-003-PSW

DOI: 10.1108/02644400910996835

Abstract (EN): Purpose - The purpose of this paper is to extend the natural neighbour radial point interpolation method (NNRPIM) to the dynamic analysis (free vibrations And forced vibrations) of two-dimensional, three-dimensional and bending plate problems. Design/methodology/approach - The NNRPIM shape-function construction is briefly presented, as are the dynamic equations and the mode superposition method is used in the forced vibration analysis. Several benchmark examples of two-dimensional and plate bending problems are solved and compared with the three-dimensional NNRPIM formulation. The obtained results are compared with the available exact solutions and the finite element method (FEM) solutions. Findings - The developed NNRPIM approach is a good alternative to the FEM for the solution of dynamic problems, once the obtained results with the EFGM shows a high similarity with the obtained FEM results and for the majority of the studied examples the NNRPIM, results are more close to the exact solution results. Research limitations/implications - Comparing the FEM and the NNRPIM, the computational cost of the NNRPIM is higher. Originality/value - The paper demonstrates extension of the NNRPIM to the dynamic analysis of two-dimensional, three-dimensional and bending plate problems. The elimination of the shear-locking phenomenon in the NNRPIM plate bending formulation. The various solved examples prove a high convergence rate and accuracy of the NNRPIM.

Language: English

Type (Professor's evaluation): Scientific

No. of pages: 39