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Technical report: solving Biharmonic equation of linear analysis of thin plates by using Finite Difference Method / Nurul Husna Sulaiman and Haziera Mohd Termizi

This report addresses the problem to learn the values of deflection at nodal points of adopted network by solving Biharmonic equation using Finite Difference Method (FDM). Bi­harmonic equation is a fourth order partial differential equation for continuum mechanism of linear elasticity of thin plate....

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Main Authors: Sulaiman, Nurul Husna, Mohd Termizi, Haziera
Format: Student Project
Language:English
Published: 2018
Subjects:
Study and teaching
Equations
Analysis
Online Access:https://ir.uitm.edu.my/id/eprint/110271/1/110271.pdf
https://ir.uitm.edu.my/id/eprint/110271/
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spelling my.uitm.ir.1102712025-02-13T23:50:51Z https://ir.uitm.edu.my/id/eprint/110271/ Technical report: solving Biharmonic equation of linear analysis of thin plates by using Finite Difference Method / Nurul Husna Sulaiman and Haziera Mohd Termizi Sulaiman, Nurul Husna Mohd Termizi, Haziera Study and teaching Equations Analysis This report addresses the problem to learn the values of deflection at nodal points of adopted network by solving Biharmonic equation using Finite Difference Method (FDM). Bi­harmonic equation is a fourth order partial differential equation for continuum mechanism of linear elasticity of thin plate. By varying loads on thin plate, it will give different values of deflection at each nodes. To present these results, the Biharmonic equation is discretized and solved by using FDM. The deflection is calculated at each nodal points by using MATLAB software. It was found that the more loads is placed on thin plate, the higher the values of deflection at each nodes obtained. All these results gained were compared with previously published work for validation. It is concluded that FDM can effectively solved these problems of plate deflection, stress, strain and others. In addition, FDM method can be used to solve more complex problems in accordance to the future problems. 2018 Student Project NonPeerReviewed text en https://ir.uitm.edu.my/id/eprint/110271/1/110271.pdf Technical report: solving Biharmonic equation of linear analysis of thin plates by using Finite Difference Method / Nurul Husna Sulaiman and Haziera Mohd Termizi. (2018) [Student Project] <http://terminalib.uitm.edu.my/110271.pdf> (Unpublished)
institution Universiti Teknologi Mara
building Tun Abdul Razak Library
collection Institutional Repository
continent Asia
country Malaysia
content_provider Universiti Teknologi Mara
content_source UiTM Institutional Repository
url_provider http://ir.uitm.edu.my/
language English
topic Study and teaching
Equations
Analysis
spellingShingle Study and teaching
Equations
Analysis
Sulaiman, Nurul Husna
Mohd Termizi, Haziera
Technical report: solving Biharmonic equation of linear analysis of thin plates by using Finite Difference Method / Nurul Husna Sulaiman and Haziera Mohd Termizi
description This report addresses the problem to learn the values of deflection at nodal points of adopted network by solving Biharmonic equation using Finite Difference Method (FDM). Bi­harmonic equation is a fourth order partial differential equation for continuum mechanism of linear elasticity of thin plate. By varying loads on thin plate, it will give different values of deflection at each nodes. To present these results, the Biharmonic equation is discretized and solved by using FDM. The deflection is calculated at each nodal points by using MATLAB software. It was found that the more loads is placed on thin plate, the higher the values of deflection at each nodes obtained. All these results gained were compared with previously published work for validation. It is concluded that FDM can effectively solved these problems of plate deflection, stress, strain and others. In addition, FDM method can be used to solve more complex problems in accordance to the future problems.
format Student Project
author Sulaiman, Nurul Husna
Mohd Termizi, Haziera
author_facet Sulaiman, Nurul Husna
Mohd Termizi, Haziera
author_sort Sulaiman, Nurul Husna
title Technical report: solving Biharmonic equation of linear analysis of thin plates by using Finite Difference Method / Nurul Husna Sulaiman and Haziera Mohd Termizi
title_short Technical report: solving Biharmonic equation of linear analysis of thin plates by using Finite Difference Method / Nurul Husna Sulaiman and Haziera Mohd Termizi
title_full Technical report: solving Biharmonic equation of linear analysis of thin plates by using Finite Difference Method / Nurul Husna Sulaiman and Haziera Mohd Termizi
title_fullStr Technical report: solving Biharmonic equation of linear analysis of thin plates by using Finite Difference Method / Nurul Husna Sulaiman and Haziera Mohd Termizi
title_full_unstemmed Technical report: solving Biharmonic equation of linear analysis of thin plates by using Finite Difference Method / Nurul Husna Sulaiman and Haziera Mohd Termizi
title_sort technical report: solving biharmonic equation of linear analysis of thin plates by using finite difference method / nurul husna sulaiman and haziera mohd termizi
publishDate 2018
url https://ir.uitm.edu.my/id/eprint/110271/1/110271.pdf
https://ir.uitm.edu.my/id/eprint/110271/
_version_ 1825165171394347008
score 13.239859

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