RBF-based meshless method for large deflection of elastic thin plates on nonlinear foundations

Mohammed M. Hussein Al-Tholaia; Husain Jubran Al-Gahtani

doi:10.1016/j.enganabound.2014.10.011

RBF-based meshless method for large deflection of elastic thin plates on nonlinear foundations

Mohammed M. Hussein Al-Tholaia, Husain Jubran Al-Gahtani^*

^*Corresponding author for this work

Department of Civil and Environmental Engineering

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

18 Scopus citations

Abstract

A simple, yet efficient method for the analysis of thin plates resting on nonlinear foundations and undergoing large deflection is presented. The method is based on collocation with the multiquadric radial basis function. In order to address the in-plane edge conditions, two formulations, namely w-F and u-v-w are considered for the movable and immovable edge conditions, respectively. The resulted coupled nonlinear equations for the two cases are solved using an incremental-iterative procedure. Three foundation models are considered, namely Winkler, nonlinear Winkler and Pasternak. The accuracy and efficiency of the method is verified through several numerical examples.

Original language	English
Pages (from-to)	146-155
Number of pages	10
Journal	Engineering Analysis with Boundary Elements
Volume	51
DOIs	https://doi.org/10.1016/j.enganabound.2014.10.011
State	Published - Feb 2015

Bibliographical note

Publisher Copyright:
© 2014 Elsevier Ltd.

Keywords

Immovable edge
Large deflection
Meshless
Movable edge
Nonlinear foundation
Thin plate
Winkler and Pasternak

ASJC Scopus subject areas

Analysis
General Engineering
Computational Mathematics
Applied Mathematics

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10.1016/j.enganabound.2014.10.011

Cite this

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title = "RBF-based meshless method for large deflection of elastic thin plates on nonlinear foundations",

abstract = "A simple, yet efficient method for the analysis of thin plates resting on nonlinear foundations and undergoing large deflection is presented. The method is based on collocation with the multiquadric radial basis function. In order to address the in-plane edge conditions, two formulations, namely w-F and u-v-w are considered for the movable and immovable edge conditions, respectively. The resulted coupled nonlinear equations for the two cases are solved using an incremental-iterative procedure. Three foundation models are considered, namely Winkler, nonlinear Winkler and Pasternak. The accuracy and efficiency of the method is verified through several numerical examples.",

keywords = "Immovable edge, Large deflection, Meshless, Movable edge, Nonlinear foundation, Thin plate, Winkler and Pasternak",

author = "\{Hussein Al-Tholaia\}, \{Mohammed M.\} and \{Jubran Al-Gahtani\}, Husain",

note = "Publisher Copyright: {\textcopyright} 2014 Elsevier Ltd.",

year = "2015",

month = feb,

doi = "10.1016/j.enganabound.2014.10.011",

language = "English",

volume = "51",

pages = "146--155",

journal = "Engineering Analysis with Boundary Elements",

issn = "0955-7997",

}

TY - JOUR

T1 - RBF-based meshless method for large deflection of elastic thin plates on nonlinear foundations

AU - Hussein Al-Tholaia, Mohammed M.

AU - Jubran Al-Gahtani, Husain

PY - 2015/2

Y1 - 2015/2

N2 - A simple, yet efficient method for the analysis of thin plates resting on nonlinear foundations and undergoing large deflection is presented. The method is based on collocation with the multiquadric radial basis function. In order to address the in-plane edge conditions, two formulations, namely w-F and u-v-w are considered for the movable and immovable edge conditions, respectively. The resulted coupled nonlinear equations for the two cases are solved using an incremental-iterative procedure. Three foundation models are considered, namely Winkler, nonlinear Winkler and Pasternak. The accuracy and efficiency of the method is verified through several numerical examples.

AB - A simple, yet efficient method for the analysis of thin plates resting on nonlinear foundations and undergoing large deflection is presented. The method is based on collocation with the multiquadric radial basis function. In order to address the in-plane edge conditions, two formulations, namely w-F and u-v-w are considered for the movable and immovable edge conditions, respectively. The resulted coupled nonlinear equations for the two cases are solved using an incremental-iterative procedure. Three foundation models are considered, namely Winkler, nonlinear Winkler and Pasternak. The accuracy and efficiency of the method is verified through several numerical examples.

KW - Immovable edge

KW - Large deflection

KW - Meshless

KW - Movable edge

KW - Nonlinear foundation

KW - Thin plate

KW - Winkler and Pasternak

UR - https://www.scopus.com/pages/publications/84919398241

U2 - 10.1016/j.enganabound.2014.10.011

DO - 10.1016/j.enganabound.2014.10.011

M3 - Article

AN - SCOPUS:84919398241

SN - 0955-7997

VL - 51

SP - 146

EP - 155

JO - Engineering Analysis with Boundary Elements

JF - Engineering Analysis with Boundary Elements

ER -

RBF-based meshless method for large deflection of elastic thin plates on nonlinear foundations

Abstract

Bibliographical note

Keywords

ASJC Scopus subject areas

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