Analysis of a plane stress wave by the moving least squares method

A meshless method based on the moving least squares approximation is applied to stress wave propagation analysis. Two kinds of node meshes, the randomly generated mesh and the regular mesh are used. The nearest neighbours’ problem is developed from a triangulation that satisfies minimum edges length...

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Bibliographic Details
Main Author: Wojciech Dornowski
Format: Article
Language:English
Published: Wojskowa Akademia Techniczna, Redakcja Wydawnictw WAT, ul. gen. S. Kaliskiego 2, 00-908 Warszawa 2014-08-01
Series:Biuletyn Wojskowej Akademii Technicznej
Subjects:
Online Access:http://biuletynwat.pl/icid/1117107
Description
Summary:A meshless method based on the moving least squares approximation is applied to stress wave propagation analysis. Two kinds of node meshes, the randomly generated mesh and the regular mesh are used. The nearest neighbours’ problem is developed from a triangulation that satisfies minimum edges length conditions. It is found that this method of neighbours’ choice significantly improves the solution accuracy. The reflection of stress waves from the free edge is modelled using fictitious nodes (outside the plate). The comparison with the finite difference results also demonstrated the accuracy of the proposed approach.[b]Keywords[/b]: civil engineering, meshless method, moving least squares method, elastic waves
ISSN:1234-5865