Reformulation of Frequency Based Substructuring Method Considering Elastic Joints According to Sherman-Morrison-Woodbury Formula

The frequency based substructuring method considering elastic joints (FBSM-CEJ) is reformulated according to Sherman-Morrison-Woodbury Formula (SMWF) in this paper, the derivation process of which is more concise and the order of the matrix that requires inversion in the corresponding derivation res...

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Autores principales:	Jiangpan Chen, Yi Liu, Weiwen Zhang, Yan Liu*, Dong Wang, Limin Sun
Formato:	article
Lenguaje:	EN
Publicado:	Faculty of Mechanical Engineering in Slavonski Brod, Faculty of Electrical Engineering in Osijek, Faculty of Civil Engineering in Osijek 2021
Materias:	elastic joints frequency based substructuring method frequency response function Sherman-Morrison-Woodbury Formula spatial beam element Engineering (General). Civil engineering (General) TA1-2040
Acceso en línea:	https://doaj.org/article/49689fc0322e4367a12eab61b1dbdcb4
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id	oai:doaj.org-article:49689fc0322e4367a12eab61b1dbdcb4
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spelling	oai:doaj.org-article:49689fc0322e4367a12eab61b1dbdcb42021-11-07T00:36:09ZReformulation of Frequency Based Substructuring Method Considering Elastic Joints According to Sherman-Morrison-Woodbury Formula1330-36511848-6339https://doaj.org/article/49689fc0322e4367a12eab61b1dbdcb42021-01-01T00:00:00Zhttps://hrcak.srce.hr/file/383614https://doaj.org/toc/1330-3651https://doaj.org/toc/1848-6339The frequency based substructuring method considering elastic joints (FBSM-CEJ) is reformulated according to Sherman-Morrison-Woodbury Formula (SMWF) in this paper, the derivation process of which is more concise and the order of the matrix that requires inversion in the corresponding derivation result is lower comparing to the existing FBSM-CEJ. Meanwhile, the reformulated FBSM-CEJ possesses more applicability and operability that can be used to directly and efficiently calculate the frequency response function (FRF) matrix of complex structure no matter the impedance matrix of the elastic joints is singular or not. Last but not least, via using none-mass spatial beam element to simulate the dynamic properties of elastic joints, the performance of the reformulated FBSM-CEJ is verified through numerical simulation. All the achievements obtained from this work will provide a theoretical basis for analysing the dynamic properties of a complex structure considering elastic joints.Jiangpan ChenYi LiuWeiwen ZhangYan Liu*Dong WangLimin SunFaculty of Mechanical Engineering in Slavonski Brod, Faculty of Electrical Engineering in Osijek, Faculty of Civil Engineering in Osijek articleelastic jointsfrequency based substructuring methodfrequency response functionSherman-Morrison-Woodbury Formulaspatial beam elementEngineering (General). Civil engineering (General)TA1-2040ENTehnički Vjesnik, Vol 28, Iss 6, Pp 1983-1988 (2021)
institution	DOAJ
collection	DOAJ
language	EN
topic	elastic joints frequency based substructuring method frequency response function Sherman-Morrison-Woodbury Formula spatial beam element Engineering (General). Civil engineering (General) TA1-2040
spellingShingle	elastic joints frequency based substructuring method frequency response function Sherman-Morrison-Woodbury Formula spatial beam element Engineering (General). Civil engineering (General) TA1-2040 Jiangpan Chen Yi Liu Weiwen Zhang Yan Liu* Dong Wang Limin Sun Reformulation of Frequency Based Substructuring Method Considering Elastic Joints According to Sherman-Morrison-Woodbury Formula
description	The frequency based substructuring method considering elastic joints (FBSM-CEJ) is reformulated according to Sherman-Morrison-Woodbury Formula (SMWF) in this paper, the derivation process of which is more concise and the order of the matrix that requires inversion in the corresponding derivation result is lower comparing to the existing FBSM-CEJ. Meanwhile, the reformulated FBSM-CEJ possesses more applicability and operability that can be used to directly and efficiently calculate the frequency response function (FRF) matrix of complex structure no matter the impedance matrix of the elastic joints is singular or not. Last but not least, via using none-mass spatial beam element to simulate the dynamic properties of elastic joints, the performance of the reformulated FBSM-CEJ is verified through numerical simulation. All the achievements obtained from this work will provide a theoretical basis for analysing the dynamic properties of a complex structure considering elastic joints.
format	article
author	Jiangpan Chen Yi Liu Weiwen Zhang Yan Liu* Dong Wang Limin Sun
author_facet	Jiangpan Chen Yi Liu Weiwen Zhang Yan Liu* Dong Wang Limin Sun
author_sort	Jiangpan Chen
title	Reformulation of Frequency Based Substructuring Method Considering Elastic Joints According to Sherman-Morrison-Woodbury Formula
title_short	Reformulation of Frequency Based Substructuring Method Considering Elastic Joints According to Sherman-Morrison-Woodbury Formula
title_full	Reformulation of Frequency Based Substructuring Method Considering Elastic Joints According to Sherman-Morrison-Woodbury Formula
title_fullStr	Reformulation of Frequency Based Substructuring Method Considering Elastic Joints According to Sherman-Morrison-Woodbury Formula
title_full_unstemmed	Reformulation of Frequency Based Substructuring Method Considering Elastic Joints According to Sherman-Morrison-Woodbury Formula
title_sort	reformulation of frequency based substructuring method considering elastic joints according to sherman-morrison-woodbury formula
publisher	Faculty of Mechanical Engineering in Slavonski Brod, Faculty of Electrical Engineering in Osijek, Faculty of Civil Engineering in Osijek
publishDate	2021
url	https://doaj.org/article/49689fc0322e4367a12eab61b1dbdcb4
work_keys_str_mv	AT jiangpanchen reformulationoffrequencybasedsubstructuringmethodconsideringelasticjointsaccordingtoshermanmorrisonwoodburyformula AT yiliu reformulationoffrequencybasedsubstructuringmethodconsideringelasticjointsaccordingtoshermanmorrisonwoodburyformula AT weiwenzhang reformulationoffrequencybasedsubstructuringmethodconsideringelasticjointsaccordingtoshermanmorrisonwoodburyformula AT yanliu reformulationoffrequencybasedsubstructuringmethodconsideringelasticjointsaccordingtoshermanmorrisonwoodburyformula AT dongwang reformulationoffrequencybasedsubstructuringmethodconsideringelasticjointsaccordingtoshermanmorrisonwoodburyformula AT liminsun reformulationoffrequencybasedsubstructuringmethodconsideringelasticjointsaccordingtoshermanmorrisonwoodburyformula
_version_	1718443608103714816

Reformulation of Frequency Based Substructuring Method Considering Elastic Joints According to Sherman-Morrison-Woodbury Formula

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