A New Method Applied to the Quadrilateral Membrane Element with Vertex Rigid Rotational Freedom

A New Method Applied to the Quadrilateral Membrane Element with Vertex Rigid Rotational Freedom

In order to improve the performance of the membrane element with vertex rigid rotational freedom, a new method to establish the local Cartesian coordinate system and calculate the derivatives of the shape functions with respect to the local coordinates is introduced in this paper. The membrane eleme...

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Main Authors: Xiaowei Gao, Yunfei Liu, Jun Lv
Format: Article
Language:English
Published: Hindawi Limited 2016-01-01
Series:Mathematical Problems in Engineering
Online Access:http://dx.doi.org/10.1155/2016/1045438
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spelling doaj-39c1277fd3a446dfbcd015493774bb3d2020-11-25T00:44:07ZengHindawi LimitedMathematical Problems in Engineering1024-123X1563-51472016-01-01201610.1155/2016/10454381045438A New Method Applied to the Quadrilateral Membrane Element with Vertex Rigid Rotational FreedomXiaowei Gao0Yunfei Liu1Jun Lv2School of Aeronautics and Astronautics, State Key Laboratory of Structural Analysis for Industrial Equipment, Dalian University of Technology, Dalian 116024, ChinaSchool of Aeronautics and Astronautics, State Key Laboratory of Structural Analysis for Industrial Equipment, Dalian University of Technology, Dalian 116024, ChinaSchool of Aeronautics and Astronautics, State Key Laboratory of Structural Analysis for Industrial Equipment, Dalian University of Technology, Dalian 116024, ChinaIn order to improve the performance of the membrane element with vertex rigid rotational freedom, a new method to establish the local Cartesian coordinate system and calculate the derivatives of the shape functions with respect to the local coordinates is introduced in this paper. The membrane elements with vertex rigid rotational freedom such as GQ12 and GQ12M based on this new method can achieve higher precision results than traditional methods. The numerical results demonstrate that the elements GQ12 and GQ12M with this new method can provide better membrane elements for flat shell elements. Furthermore, this new method presented in this paper offers a new approach for other membrane elements used in flat shell element to improve the computing accuracy.http://dx.doi.org/10.1155/2016/1045438
collection DOAJ
language English
format Article
sources DOAJ
author Xiaowei Gao
Yunfei Liu
Jun Lv
spellingShingle Xiaowei Gao
Yunfei Liu
Jun Lv
A New Method Applied to the Quadrilateral Membrane Element with Vertex Rigid Rotational Freedom
Mathematical Problems in Engineering
author_facet Xiaowei Gao
Yunfei Liu
Jun Lv
author_sort Xiaowei Gao
title A New Method Applied to the Quadrilateral Membrane Element with Vertex Rigid Rotational Freedom
title_short A New Method Applied to the Quadrilateral Membrane Element with Vertex Rigid Rotational Freedom
title_full A New Method Applied to the Quadrilateral Membrane Element with Vertex Rigid Rotational Freedom
title_fullStr A New Method Applied to the Quadrilateral Membrane Element with Vertex Rigid Rotational Freedom
title_full_unstemmed A New Method Applied to the Quadrilateral Membrane Element with Vertex Rigid Rotational Freedom
title_sort new method applied to the quadrilateral membrane element with vertex rigid rotational freedom
publisher Hindawi Limited
series Mathematical Problems in Engineering
issn 1024-123X
1563-5147
publishDate 2016-01-01
description In order to improve the performance of the membrane element with vertex rigid rotational freedom, a new method to establish the local Cartesian coordinate system and calculate the derivatives of the shape functions with respect to the local coordinates is introduced in this paper. The membrane elements with vertex rigid rotational freedom such as GQ12 and GQ12M based on this new method can achieve higher precision results than traditional methods. The numerical results demonstrate that the elements GQ12 and GQ12M with this new method can provide better membrane elements for flat shell elements. Furthermore, this new method presented in this paper offers a new approach for other membrane elements used in flat shell element to improve the computing accuracy.
url http://dx.doi.org/10.1155/2016/1045438
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AT yunfeiliu anewmethodappliedtothequadrilateralmembraneelementwithvertexrigidrotationalfreedom
AT junlv anewmethodappliedtothequadrilateralmembraneelementwithvertexrigidrotationalfreedom
AT xiaoweigao newmethodappliedtothequadrilateralmembraneelementwithvertexrigidrotationalfreedom
AT yunfeiliu newmethodappliedtothequadrilateralmembraneelementwithvertexrigidrotationalfreedom
AT junlv newmethodappliedtothequadrilateralmembraneelementwithvertexrigidrotationalfreedom
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