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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Format: | Article |
Language: | zho |
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Editorial Office of Journal of Mechanical Strength
2016-01-01
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Series: | Jixie qiangdu |
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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. |
first_indexed | 2024-03-12T20:47:23Z |
format | Article |
id | doaj.art-ad75f6605001496e809fc00127826d28 |
institution | Directory Open Access Journal |
issn | 1001-9669 |
language | zho |
last_indexed | 2024-03-12T20:47:23Z |
publishDate | 2016-01-01 |
publisher | Editorial Office of Journal of Mechanical Strength |
record_format | Article |
series | Jixie qiangdu |
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 |
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