Meshfree formulation of buckling of composite beam with slip

This study concerns with the formulation of Meshfree methods for the buckling analysis of partial interaction of composite beam. Meshfree formulations of Polynomial Interpolation Method (PIM) and Radial Polynomial Interpolation Method (RPIM) have been developed where multi-quadric radial basis funct...

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Main Author:	Harun, Mohd. Hamidi
Format:	Thesis
Language:	English
Published:	2014
Subjects:	TA Engineering (General) Civil engineering (General)
Online Access:	http://eprints.utm.my/id/eprint/48932/25/MohdHamidiHarunMFKA2014.pdf
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id	my-utm-ep.48932
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spelling	my-utm-ep.489322020-07-08T02:43:47Z Meshfree formulation of buckling of composite beam with slip 2014-05 Harun, Mohd. Hamidi TA Engineering (General). Civil engineering (General) This study concerns with the formulation of Meshfree methods for the buckling analysis of partial interaction of composite beam. Meshfree formulations of Polynomial Interpolation Method (PIM) and Radial Polynomial Interpolation Method (RPIM) have been developed where multi-quadric radial basis functions have been used as the interpolation functions. Comparison of the results for the buckling problem against analytical and existing numerical works showed good agreement thus validates the formulation. Parametric studies have been conducted to study the effect of the method’s parameters to the solution accuracy. The effects of support domain and gauss cell were extensively studied for the PIM method. For the RPIM method, parameters used for the parametric study were the support domain, gauss cell, and shape parameter. Once the optimum values of the parameters were obtained, convergence study was carried out to determine the rate of convergence of the Meshfree. It was found that the use of gauss cell proportional to the number of point gives the best convergence rate for the solution of the buckling load. Parametric studies for the analysis of composite beam interaction and geometric ratio have been also conducted for both finite element and Meshfree methods. It was be observed that partial interaction between top and bottom section occurs for some specific connector stiffness values. The effect of geometric ratio, on the other hand, showed that the partial interaction regime for the composite beam reduced as the geometric ratio increased. For all the parametric study conducted, result obtained from PIM and RPIM showed good agreement with converged finite element solution thus indicating the suitability of the Meshfree methods in the study of buckling analysis of composite beam with partial interactions. 2014-05 Thesis http://eprints.utm.my/id/eprint/48932/ http://eprints.utm.my/id/eprint/48932/25/MohdHamidiHarunMFKA2014.pdf application/pdf en public http://dms.library.utm.my:8080/vital/access/manager/Repository/vital:85232 masters Universiti Teknologi Malaysia, Faculty of Civil Engineering Faculty of Civil Engineering
institution	Universiti Teknologi Malaysia
collection	UTM Institutional Repository
language	English
topic	TA Engineering (General) Civil engineering (General)
spellingShingle	TA Engineering (General) Civil engineering (General) Harun, Mohd. Hamidi Meshfree formulation of buckling of composite beam with slip
description	This study concerns with the formulation of Meshfree methods for the buckling analysis of partial interaction of composite beam. Meshfree formulations of Polynomial Interpolation Method (PIM) and Radial Polynomial Interpolation Method (RPIM) have been developed where multi-quadric radial basis functions have been used as the interpolation functions. Comparison of the results for the buckling problem against analytical and existing numerical works showed good agreement thus validates the formulation. Parametric studies have been conducted to study the effect of the method’s parameters to the solution accuracy. The effects of support domain and gauss cell were extensively studied for the PIM method. For the RPIM method, parameters used for the parametric study were the support domain, gauss cell, and shape parameter. Once the optimum values of the parameters were obtained, convergence study was carried out to determine the rate of convergence of the Meshfree. It was found that the use of gauss cell proportional to the number of point gives the best convergence rate for the solution of the buckling load. Parametric studies for the analysis of composite beam interaction and geometric ratio have been also conducted for both finite element and Meshfree methods. It was be observed that partial interaction between top and bottom section occurs for some specific connector stiffness values. The effect of geometric ratio, on the other hand, showed that the partial interaction regime for the composite beam reduced as the geometric ratio increased. For all the parametric study conducted, result obtained from PIM and RPIM showed good agreement with converged finite element solution thus indicating the suitability of the Meshfree methods in the study of buckling analysis of composite beam with partial interactions.
format	Thesis
qualification_level	Master's degree
author	Harun, Mohd. Hamidi
author_facet	Harun, Mohd. Hamidi
author_sort	Harun, Mohd. Hamidi
title	Meshfree formulation of buckling of composite beam with slip
title_short	Meshfree formulation of buckling of composite beam with slip
title_full	Meshfree formulation of buckling of composite beam with slip
title_fullStr	Meshfree formulation of buckling of composite beam with slip
title_full_unstemmed	Meshfree formulation of buckling of composite beam with slip
title_sort	meshfree formulation of buckling of composite beam with slip
granting_institution	Universiti Teknologi Malaysia, Faculty of Civil Engineering
granting_department	Faculty of Civil Engineering
publishDate	2014
url	http://eprints.utm.my/id/eprint/48932/25/MohdHamidiHarunMFKA2014.pdf
_version_	1747817505810808832

Meshfree formulation of buckling of composite beam with slip

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