RBF-based meshless method for large deflection of thin plates

Mahmoud Naffa; Husain J. Al-Gahtani

doi:10.1016/j.enganabound.2006.10.002

RBF-based meshless method for large deflection of thin plates

Mahmoud Naffa
, Husain J. Al-Gahtani^*

^*Corresponding author for this work

Department of Civil and Environmental Engineering

Research output: Contribution to journal › Article › peer-review

45 Scopus citations

Abstract

A simple, yet accurate, meshless method for the solution of thin plates undergoing large deflections is presented. The solution is based on the use of fifth order polynomial radial basis function to build an approximation for the solution of two coupled nonlinear differential equations governing the finite deflection of thin plates. The resulted nonlinear algebraic equations are solved using an incremental-iterative procedure. The accuracy and efficiency of the method is verified through several numerical examples.

Original language	English
Pages (from-to)	311-317
Number of pages	7
Journal	Engineering Analysis with Boundary Elements
Volume	31
Issue number	4
DOIs	https://doi.org/10.1016/j.enganabound.2006.10.002
State	Published - Apr 2007

Keywords

Finite deflection
Meshless
Plate
RBF

ASJC Scopus subject areas

Analysis
General Engineering
Computational Mathematics
Applied Mathematics

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10.1016/j.enganabound.2006.10.002

Cite this

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title = "RBF-based meshless method for large deflection of thin plates",

abstract = "A simple, yet accurate, meshless method for the solution of thin plates undergoing large deflections is presented. The solution is based on the use of fifth order polynomial radial basis function to build an approximation for the solution of two coupled nonlinear differential equations governing the finite deflection of thin plates. The resulted nonlinear algebraic equations are solved using an incremental-iterative procedure. The accuracy and efficiency of the method is verified through several numerical examples.",

keywords = "Finite deflection, Meshless, Plate, RBF",

author = "Mahmoud Naffa and Al-Gahtani, \{Husain J.\}",

year = "2007",

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doi = "10.1016/j.enganabound.2006.10.002",

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AU - Naffa, Mahmoud

AU - Al-Gahtani, Husain J.

PY - 2007/4

Y1 - 2007/4

N2 - A simple, yet accurate, meshless method for the solution of thin plates undergoing large deflections is presented. The solution is based on the use of fifth order polynomial radial basis function to build an approximation for the solution of two coupled nonlinear differential equations governing the finite deflection of thin plates. The resulted nonlinear algebraic equations are solved using an incremental-iterative procedure. The accuracy and efficiency of the method is verified through several numerical examples.

AB - A simple, yet accurate, meshless method for the solution of thin plates undergoing large deflections is presented. The solution is based on the use of fifth order polynomial radial basis function to build an approximation for the solution of two coupled nonlinear differential equations governing the finite deflection of thin plates. The resulted nonlinear algebraic equations are solved using an incremental-iterative procedure. The accuracy and efficiency of the method is verified through several numerical examples.

KW - Finite deflection

KW - Meshless

KW - Plate

KW - RBF

UR - https://www.scopus.com/pages/publications/33847011666

U2 - 10.1016/j.enganabound.2006.10.002

DO - 10.1016/j.enganabound.2006.10.002

M3 - Article

AN - SCOPUS:33847011666

SN - 0955-7997

VL - 31

SP - 311

EP - 317

JO - Engineering Analysis with Boundary Elements

JF - Engineering Analysis with Boundary Elements

IS - 4

ER -

RBF-based meshless method for large deflection of thin plates

Abstract

Keywords

ASJC Scopus subject areas

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