RBF-Based Meshless Method for Large Deflection of Elastic Thin Rectangular Plates with Boundary Conditions Involving Free Edges-Reference-Cited by-同舟云学术

RBF-Based Meshless Method for Large Deflection of Elastic Thin Rectangular Plates with Boundary Conditions Involving Free Edges

Published:2016 Issue: Volume:2016 Page:1-10
ISSN:1024-123X
Container-title:Mathematical Problems in Engineering
language:en
Short-container-title:Mathematical Problems in Engineering

Author:

Hussein Al-Tholaia Mohammed M.¹,Al-Gahtani Husain Jubran¹

Affiliation:

1. Civil & Environmental Engineering Department, King Fahd University of Petroleum & Minerals (KFUPM), Dhahran 31261, Saudi Arabia

Abstract

An RBF-based meshless method is presented for the analysis of thin plates undergoing large deflection. The method is based on collocation with the multiquadric radial basis function (MQ-RBF). In the proposed method, the resulting coupled nonlinear equations are solved using an incremental-iterative procedure. The accuracy and efficiency of the method are verified through several numerical examples. The inclusion of the free edge boundary condition proves that this method is accurate and efficient in handling such complex boundary value problems.

Funder

King Fahd University of Petroleum and Minerals

Publisher

Hindawi Limited

Subject

General Engineering,General Mathematics

Link

http://downloads.hindawi.com/journals/mpe/2016/6489375.pdf

Reference31 articles.

1. Efficient large deflection analysis of rectangular plates with general transverse form of displacement

2. Large deflections of rectangular plates with transverse edges remaining straight

3. A Novel Technique in the Solution of Axisymmetric Large Deflection Analysis of a Circular Plate

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