Kriging-based Timoshenko Beam Element for Static and Free Vibration Analyses

Main Authors: Tjong, Wong Foek, Syamsoeyadi, Hidayat
Format: Article PeerReviewed application/pdf
Terbitan: , 2010
Subjects:
Online Access: https://repository.petra.ac.id/16904/1/Publikasi1_00034_1842.pdf
http://puslit2.petra.ac.id/ejournal/index.php/civ/article/view/18107/17999
https://repository.petra.ac.id/16904/
ctrlnum 16904
fullrecord <?xml version="1.0"?> <dc schemaLocation="http://www.openarchives.org/OAI/2.0/oai_dc/ http://www.openarchives.org/OAI/2.0/oai_dc.xsd"><title>Kriging-based Timoshenko Beam Element for Static and Free Vibration Analyses</title><creator>Tjong, Wong Foek</creator><creator>Syamsoeyadi, Hidayat</creator><subject>QA Mathematics</subject><subject>TA Engineering (General). Civil engineering (General)</subject><description>An enhancement of the finite element method using Kriging interpolation (K-FEM) has been recently proposed and applied to solve one- and two- dimensional linear elasticity problems. The key advantage of this innovative method is that the polynomial refinement can be performed without adding nodes or changing the element connectivity. This paper presents the development of the K-FEM for static and free vibration analyses of Timoshenko beams. The transverse displacement and the rotation of the beam are independently approximated using Kriging interpolation. For each element, the interpolation function is constructed from a set of nodes within a prescribed domain of influence comprising the element and its several layers of neighbouring elements. In an attempt to eliminate the shear locking, the selective-reduced integration technique is utilized. The developed beam element is tested to several static and free vibration problems. The results demonstrate the excellent performance of the developed element.</description><date>2010-03-01</date><type>Journal:Article</type><type>PeerReview:PeerReviewed</type><type>File:application/pdf</type><identifier>https://repository.petra.ac.id/16904/1/Publikasi1_00034_1842.pdf</identifier><relation>http://puslit2.petra.ac.id/ejournal/index.php/civ/article/view/18107/17999</relation><identifier>Tjong, Wong Foek and Syamsoeyadi, Hidayat (2010) Kriging-based Timoshenko Beam Element for Static and Free Vibration Analyses. Civil Engineering Dimension, 13 (1). pp. 42-49. ISSN 1410-9530</identifier><relation>https://repository.petra.ac.id/16904/</relation><recordID>16904</recordID></dc>
format Journal:Article
Journal
PeerReview:PeerReviewed
PeerReview
File:application/pdf
File
author Tjong, Wong Foek
Syamsoeyadi, Hidayat
title Kriging-based Timoshenko Beam Element for Static and Free Vibration Analyses
publishDate 2010
topic QA Mathematics
TA Engineering (General). Civil engineering (General)
url https://repository.petra.ac.id/16904/1/Publikasi1_00034_1842.pdf
http://puslit2.petra.ac.id/ejournal/index.php/civ/article/view/18107/17999
https://repository.petra.ac.id/16904/
contents An enhancement of the finite element method using Kriging interpolation (K-FEM) has been recently proposed and applied to solve one- and two- dimensional linear elasticity problems. The key advantage of this innovative method is that the polynomial refinement can be performed without adding nodes or changing the element connectivity. This paper presents the development of the K-FEM for static and free vibration analyses of Timoshenko beams. The transverse displacement and the rotation of the beam are independently approximated using Kriging interpolation. For each element, the interpolation function is constructed from a set of nodes within a prescribed domain of influence comprising the element and its several layers of neighbouring elements. In an attempt to eliminate the shear locking, the selective-reduced integration technique is utilized. The developed beam element is tested to several static and free vibration problems. The results demonstrate the excellent performance of the developed element.
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institution Universitas Kristen Petra Surabaya
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