Symmetric Galerkin boundary element method in elastodynamic analysis

The present research aims to implement the Symmetric Galerkin Boundary Element Method (SGBEM) for 2-dimensional elastodynamic problems. The SGBEM employs both the displacement integral equation and the traction integral equation which lead to a matrix equation with completely symmetric coefficients....

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Main Author: Yuan, Weifeng.
Other Authors: Zhao, Zhiye
Format: Theses and Dissertations
Language:English
Published: 2008
Subjects:
Online Access:http://hdl.handle.net/10356/12158
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Institution: Nanyang Technological University
Language: English
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spelling sg-ntu-dr.10356-121582023-03-03T19:35:32Z Symmetric Galerkin boundary element method in elastodynamic analysis Yuan, Weifeng. Zhao, Zhiye School of Civil and Environmental Engineering DRNTU::Engineering::Mathematics and analysis The present research aims to implement the Symmetric Galerkin Boundary Element Method (SGBEM) for 2-dimensional elastodynamic problems. The SGBEM employs both the displacement integral equation and the traction integral equation which lead to a matrix equation with completely symmetric coefficients. This research focuses the effective techniques in dealing with the strong and hypersingular integrals embedded in the SGBEM formulations. To achieve this goal, two versions of the SGBEM implementation are developed where different formulations are derived and various new schemes are proposed. Doctor of Philosophy (CEE) 2008-09-25T06:38:44Z 2008-09-25T06:38:44Z 2003 2003 Thesis http://hdl.handle.net/10356/12158 en Nanyang Technological University 148 p. application/pdf
institution Nanyang Technological University
building NTU Library
continent Asia
country Singapore
Singapore
content_provider NTU Library
collection DR-NTU
language English
topic DRNTU::Engineering::Mathematics and analysis
spellingShingle DRNTU::Engineering::Mathematics and analysis
Yuan, Weifeng.
Symmetric Galerkin boundary element method in elastodynamic analysis
description The present research aims to implement the Symmetric Galerkin Boundary Element Method (SGBEM) for 2-dimensional elastodynamic problems. The SGBEM employs both the displacement integral equation and the traction integral equation which lead to a matrix equation with completely symmetric coefficients. This research focuses the effective techniques in dealing with the strong and hypersingular integrals embedded in the SGBEM formulations. To achieve this goal, two versions of the SGBEM implementation are developed where different formulations are derived and various new schemes are proposed.
author2 Zhao, Zhiye
author_facet Zhao, Zhiye
Yuan, Weifeng.
format Theses and Dissertations
author Yuan, Weifeng.
author_sort Yuan, Weifeng.
title Symmetric Galerkin boundary element method in elastodynamic analysis
title_short Symmetric Galerkin boundary element method in elastodynamic analysis
title_full Symmetric Galerkin boundary element method in elastodynamic analysis
title_fullStr Symmetric Galerkin boundary element method in elastodynamic analysis
title_full_unstemmed Symmetric Galerkin boundary element method in elastodynamic analysis
title_sort symmetric galerkin boundary element method in elastodynamic analysis
publishDate 2008
url http://hdl.handle.net/10356/12158
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