Radial point interpolation method (RPIM) for timoshenko beam

Differential equations are usually derived to describe the physical phenomena in engineering system. To solve these differential equations, numerical techniques such as Finite Element Method and Meshfree are adopted. This project emphasizes on the formulation of Timoshenko beam using radial point in...

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Main Author:	Kalary, Firdaus Abdol
Format:	Thesis
Published:	2014
Subjects:	QC Physics
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spelling	my-utm-ep.422002020-08-17T02:37:52Z Radial point interpolation method (RPIM) for timoshenko beam 2014 Kalary, Firdaus Abdol QC Physics Differential equations are usually derived to describe the physical phenomena in engineering system. To solve these differential equations, numerical techniques such as Finite Element Method and Meshfree are adopted. This project emphasizes on the formulation of Timoshenko beam using radial point interpolation method (RPIM) which is then compared against finite element formulation. Timoshenko beam theory takes into consideration the transverse shear deformation which is ignored in the Euler-Bernoulli beam theory. Shear deformation effect is not negligible if the thickness of a beam becomes larger, so it is in the interest of this study to investigate the deformation of deep beam using RPIM formulation. Convergence study against FEM is conducted to asses the performance of RPIM. It has been found that the convergence to RPIM is comparable to FEM 2014 Thesis http://eprints.utm.my/id/eprint/42200/ http://dms.library.utm.my:8080/vital/access/manager/Repository/vital:78879 masters Universiti Teknologi Malaysia, Faculty of Civil Engineering Faculty of Civil Engineering
institution	Universiti Teknologi Malaysia
collection	UTM Institutional Repository
topic	QC Physics
spellingShingle	QC Physics Kalary, Firdaus Abdol Radial point interpolation method (RPIM) for timoshenko beam
description	Differential equations are usually derived to describe the physical phenomena in engineering system. To solve these differential equations, numerical techniques such as Finite Element Method and Meshfree are adopted. This project emphasizes on the formulation of Timoshenko beam using radial point interpolation method (RPIM) which is then compared against finite element formulation. Timoshenko beam theory takes into consideration the transverse shear deformation which is ignored in the Euler-Bernoulli beam theory. Shear deformation effect is not negligible if the thickness of a beam becomes larger, so it is in the interest of this study to investigate the deformation of deep beam using RPIM formulation. Convergence study against FEM is conducted to asses the performance of RPIM. It has been found that the convergence to RPIM is comparable to FEM
format	Thesis
qualification_level	Master's degree
author	Kalary, Firdaus Abdol
author_facet	Kalary, Firdaus Abdol
author_sort	Kalary, Firdaus Abdol
title	Radial point interpolation method (RPIM) for timoshenko beam
title_short	Radial point interpolation method (RPIM) for timoshenko beam
title_full	Radial point interpolation method (RPIM) for timoshenko beam
title_fullStr	Radial point interpolation method (RPIM) for timoshenko beam
title_full_unstemmed	Radial point interpolation method (RPIM) for timoshenko beam
title_sort	radial point interpolation method (rpim) for timoshenko beam
granting_institution	Universiti Teknologi Malaysia, Faculty of Civil Engineering
granting_department	Faculty of Civil Engineering
publishDate	2014
_version_	1747816714140123136

Radial point interpolation method (RPIM) for timoshenko beam

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