IMPROVED FINITE ELEMENT TRANSFER MATRIX METHOD OF PLANE BEAM ELEMENTS USING THE ABSOLUTE NODAL COORDINATE FORMULATION

For the dynamics problems of flexible beams with large overall motion,nonlinear element dynamic equations are established,adopting the absolute nodal coordinate formulation( ANCF). Since the relationship of generalized accelerations and generalized forces is linear in the equations,a new absolute no...

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Main Authors: QIAN ShuangLin, HE Bin, YAO LiKe, NI ChunHai, LV JianDong
Format: Article
Language:zho
Published: Editorial Office of Journal of Mechanical Strength 2016-01-01
Series:Jixie qiangdu
Subjects:
Online Access:http://www.jxqd.net.cn/thesisDetails#10.16579/j.issn.1001.9669.2016.03.027
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author QIAN ShuangLin
HE Bin
YAO LiKe
NI ChunHai
LV JianDong
author_facet QIAN ShuangLin
HE Bin
YAO LiKe
NI ChunHai
LV JianDong
author_sort QIAN ShuangLin
collection DOAJ
description For the dynamics problems of flexible beams with large overall motion,nonlinear element dynamic equations are established,adopting the absolute nodal coordinate formulation( ANCF). Since the relationship of generalized accelerations and generalized forces is linear in the equations,a new absolute nodal acceleration finite element transfer matrix method( TMM) for plane beam is proposed,combining the idea of TMM. Compared with traditional finite element transfer matrix method,transfer matrixes of the proposed method are derived without time-integration methods. Here ordinary differential equation numerical methods can be applied conveniently. Finally,the method is verified correct by an example,the beam with large overall motion and small deformation.
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spelling doaj.art-ad75f6605001496e809fc00127826d282023-08-01T07:42:21ZzhoEditorial Office of Journal of Mechanical StrengthJixie qiangdu1001-96692016-01-013857557930595269IMPROVED FINITE ELEMENT TRANSFER MATRIX METHOD OF PLANE BEAM ELEMENTS USING THE ABSOLUTE NODAL COORDINATE FORMULATIONQIAN ShuangLinHE BinYAO LiKeNI ChunHaiLV JianDongFor the dynamics problems of flexible beams with large overall motion,nonlinear element dynamic equations are established,adopting the absolute nodal coordinate formulation( ANCF). Since the relationship of generalized accelerations and generalized forces is linear in the equations,a new absolute nodal acceleration finite element transfer matrix method( TMM) for plane beam is proposed,combining the idea of TMM. Compared with traditional finite element transfer matrix method,transfer matrixes of the proposed method are derived without time-integration methods. Here ordinary differential equation numerical methods can be applied conveniently. Finally,the method is verified correct by an example,the beam with large overall motion and small deformation.http://www.jxqd.net.cn/thesisDetails#10.16579/j.issn.1001.9669.2016.03.027Finite element;Transfer matrix;Nonlinear dynamics;Absolute nodal coordinate
spellingShingle QIAN ShuangLin
HE Bin
YAO LiKe
NI ChunHai
LV JianDong
IMPROVED FINITE ELEMENT TRANSFER MATRIX METHOD OF PLANE BEAM ELEMENTS USING THE ABSOLUTE NODAL COORDINATE FORMULATION
Jixie qiangdu
Finite element;Transfer matrix;Nonlinear dynamics;Absolute nodal coordinate
title IMPROVED FINITE ELEMENT TRANSFER MATRIX METHOD OF PLANE BEAM ELEMENTS USING THE ABSOLUTE NODAL COORDINATE FORMULATION
title_full IMPROVED FINITE ELEMENT TRANSFER MATRIX METHOD OF PLANE BEAM ELEMENTS USING THE ABSOLUTE NODAL COORDINATE FORMULATION
title_fullStr IMPROVED FINITE ELEMENT TRANSFER MATRIX METHOD OF PLANE BEAM ELEMENTS USING THE ABSOLUTE NODAL COORDINATE FORMULATION
title_full_unstemmed IMPROVED FINITE ELEMENT TRANSFER MATRIX METHOD OF PLANE BEAM ELEMENTS USING THE ABSOLUTE NODAL COORDINATE FORMULATION
title_short IMPROVED FINITE ELEMENT TRANSFER MATRIX METHOD OF PLANE BEAM ELEMENTS USING THE ABSOLUTE NODAL COORDINATE FORMULATION
title_sort improved finite element transfer matrix method of plane beam elements using the absolute nodal coordinate formulation
topic Finite element;Transfer matrix;Nonlinear dynamics;Absolute nodal coordinate
url http://www.jxqd.net.cn/thesisDetails#10.16579/j.issn.1001.9669.2016.03.027
work_keys_str_mv AT qianshuanglin improvedfiniteelementtransfermatrixmethodofplanebeamelementsusingtheabsolutenodalcoordinateformulation
AT hebin improvedfiniteelementtransfermatrixmethodofplanebeamelementsusingtheabsolutenodalcoordinateformulation
AT yaolike improvedfiniteelementtransfermatrixmethodofplanebeamelementsusingtheabsolutenodalcoordinateformulation
AT nichunhai improvedfiniteelementtransfermatrixmethodofplanebeamelementsusingtheabsolutenodalcoordinateformulation
AT lvjiandong improvedfiniteelementtransfermatrixmethodofplanebeamelementsusingtheabsolutenodalcoordinateformulation