Efficient GBT displacement-based finite elements for non-linear problems

Rodrigo Gonçalves; Dinar Camotim

Efficient GBT displacement-based finite elements for non-linear problems

DEC - Departamento de Engenharia Civil

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › peer-review

Abstract

This paper addresses computational efficiency aspects of Generalized Beam Theory (GBT) displacement-based finite elements. It is shown that such efficiency can be significantly improved by using cross-section nodal DOFs (instead of deformation modes), since much smaller matrices need to be handled and the element stiffness matrix becomes significantly sparser. In addition, wall thickness variations, including holes, can also be considered. The deformation mode participations, which constitute the trademark of GBT, are recovered through post-processing. For illustrative purposes, several numerical examples, involving linear and non-linear (static) problems, are presented and discussed.

Original language	English
Title of host publication	Proceedings of the Annual Stability Conference Structural Stability Research Council 2017
Publisher	Structural Stability Research Council (SSRC)
Publication status	Published - 1 Jan 2017
Event	Annual Stability Conference Structural Stability Research Council 2017 - San Antonio, United States Duration: 21 Mar 2017 → 24 Mar 2017

Conference

Conference	Annual Stability Conference Structural Stability Research Council 2017
Country/Territory	United States
City	San Antonio
Period	21/03/17 → 24/03/17

Keywords

Computation theory
Computational efficiency
Deformation
Stability
Stiffness matrix

Cite this

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title = "Efficient GBT displacement-based finite elements for non-linear problems",

abstract = "This paper addresses computational efficiency aspects of Generalized Beam Theory (GBT) displacement-based finite elements. It is shown that such efficiency can be significantly improved by using cross-section nodal DOFs (instead of deformation modes), since much smaller matrices need to be handled and the element stiffness matrix becomes significantly sparser. In addition, wall thickness variations, including holes, can also be considered. The deformation mode participations, which constitute the trademark of GBT, are recovered through post-processing. For illustrative purposes, several numerical examples, involving linear and non-linear (static) problems, are presented and discussed.",

keywords = "Computation theory, Computational efficiency, Deformation, Stability, Stiffness matrix",

author = "Rodrigo Gon{\c c}alves and Dinar Camotim",

note = "sem pdf.; Annual Stability Conference Structural Stability Research Council 2017 ; Conference date: 21-03-2017 Through 24-03-2017",

year = "2017",

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AU - Gonçalves, Rodrigo

AU - Camotim, Dinar

N1 - sem pdf.

PY - 2017/1/1

Y1 - 2017/1/1

N2 - This paper addresses computational efficiency aspects of Generalized Beam Theory (GBT) displacement-based finite elements. It is shown that such efficiency can be significantly improved by using cross-section nodal DOFs (instead of deformation modes), since much smaller matrices need to be handled and the element stiffness matrix becomes significantly sparser. In addition, wall thickness variations, including holes, can also be considered. The deformation mode participations, which constitute the trademark of GBT, are recovered through post-processing. For illustrative purposes, several numerical examples, involving linear and non-linear (static) problems, are presented and discussed.

AB - This paper addresses computational efficiency aspects of Generalized Beam Theory (GBT) displacement-based finite elements. It is shown that such efficiency can be significantly improved by using cross-section nodal DOFs (instead of deformation modes), since much smaller matrices need to be handled and the element stiffness matrix becomes significantly sparser. In addition, wall thickness variations, including holes, can also be considered. The deformation mode participations, which constitute the trademark of GBT, are recovered through post-processing. For illustrative purposes, several numerical examples, involving linear and non-linear (static) problems, are presented and discussed.

KW - Computation theory

KW - Computational efficiency

KW - Deformation

KW - Stability

KW - Stiffness matrix

UR - http://www.scopus.com/inward/record.url?scp=85019403244&partnerID=8YFLogxK

M3 - Conference contribution

AN - SCOPUS:85019403244

BT - Proceedings of the Annual Stability Conference Structural Stability Research Council 2017

PB - Structural Stability Research Council (SSRC)

T2 - Annual Stability Conference Structural Stability Research Council 2017

Y2 - 21 March 2017 through 24 March 2017

ER -

Efficient GBT displacement-based finite elements for non-linear problems

Abstract

Conference

Keywords

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