Numerical approach to modeling flexible body motion with large deformation, displacement and time-varying length

Accurate modeling of a flexible body must take into account motion with large deformation, rotation and time-varying length. Numerical analysis, employing a variable-domain finite element model and the absolute nodal coordinate formulation, has been used to model such motion. Unfortunately, the calc...

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Autores principales:	Masayuki FUJIWARA, Shoichiro TAKEHARA, Yoshiaki TERUMICHI
Formato:	article
Lenguaje:	EN
Publicado:	The Japan Society of Mechanical Engineers 2017
Materias:	flexible multibody dynamics ancf time-varying length multiple timescales fem Mechanical engineering and machinery TJ1-1570
Acceso en línea:	https://doaj.org/article/760d200eadd140d1ab5c9bbc8db05993
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spelling	oai:doaj.org-article:760d200eadd140d1ab5c9bbc8db059932021-11-26T07:06:29ZNumerical approach to modeling flexible body motion with large deformation, displacement and time-varying length2187-974510.1299/mej.17-00030https://doaj.org/article/760d200eadd140d1ab5c9bbc8db059932017-04-01T00:00:00Zhttps://www.jstage.jst.go.jp/article/mej/4/4/4_17-00030/_pdf/-char/enhttps://doaj.org/toc/2187-9745Accurate modeling of a flexible body must take into account motion with large deformation, rotation and time-varying length. Numerical analysis, employing a variable-domain finite element model and the absolute nodal coordinate formulation, has been used to model such motion. Unfortunately, the calculation cost of this approach is very high due to the use of nonlinear finite elements with time-varying length. In order to the reduce calculation cost without sacrificing accuracy, we apply the multiple timescale method to the equation of motion. We define three timescales for the multiple timescale method, and refer to them as Cases 1, 2, and 3. Case 1 is based on longitudinal vibration, Case 2 is based on lateral vibration, and Case 3 is based on motion of the rigid pendulum. We compare these three sets of timescales and evaluate the analysis range for each of the sets. The numerical results show that Case 1 delivers the best accuracy when the velocity of the time-varying length is high, whereas Case 2 delivers the quickest calculation time.Masayuki FUJIWARAShoichiro TAKEHARAYoshiaki TERUMICHIThe Japan Society of Mechanical Engineersarticleflexible multibody dynamicsancftime-varying lengthmultiple timescalesfemMechanical engineering and machineryTJ1-1570ENMechanical Engineering Journal, Vol 4, Iss 4, Pp 17-00030-17-00030 (2017)
institution	DOAJ
collection	DOAJ
language	EN
topic	flexible multibody dynamics ancf time-varying length multiple timescales fem Mechanical engineering and machinery TJ1-1570
spellingShingle	flexible multibody dynamics ancf time-varying length multiple timescales fem Mechanical engineering and machinery TJ1-1570 Masayuki FUJIWARA Shoichiro TAKEHARA Yoshiaki TERUMICHI Numerical approach to modeling flexible body motion with large deformation, displacement and time-varying length
description	Accurate modeling of a flexible body must take into account motion with large deformation, rotation and time-varying length. Numerical analysis, employing a variable-domain finite element model and the absolute nodal coordinate formulation, has been used to model such motion. Unfortunately, the calculation cost of this approach is very high due to the use of nonlinear finite elements with time-varying length. In order to the reduce calculation cost without sacrificing accuracy, we apply the multiple timescale method to the equation of motion. We define three timescales for the multiple timescale method, and refer to them as Cases 1, 2, and 3. Case 1 is based on longitudinal vibration, Case 2 is based on lateral vibration, and Case 3 is based on motion of the rigid pendulum. We compare these three sets of timescales and evaluate the analysis range for each of the sets. The numerical results show that Case 1 delivers the best accuracy when the velocity of the time-varying length is high, whereas Case 2 delivers the quickest calculation time.
format	article
author	Masayuki FUJIWARA Shoichiro TAKEHARA Yoshiaki TERUMICHI
author_facet	Masayuki FUJIWARA Shoichiro TAKEHARA Yoshiaki TERUMICHI
author_sort	Masayuki FUJIWARA
title	Numerical approach to modeling flexible body motion with large deformation, displacement and time-varying length
title_short	Numerical approach to modeling flexible body motion with large deformation, displacement and time-varying length
title_full	Numerical approach to modeling flexible body motion with large deformation, displacement and time-varying length
title_fullStr	Numerical approach to modeling flexible body motion with large deformation, displacement and time-varying length
title_full_unstemmed	Numerical approach to modeling flexible body motion with large deformation, displacement and time-varying length
title_sort	numerical approach to modeling flexible body motion with large deformation, displacement and time-varying length
publisher	The Japan Society of Mechanical Engineers
publishDate	2017
url	https://doaj.org/article/760d200eadd140d1ab5c9bbc8db05993
work_keys_str_mv	AT masayukifujiwara numericalapproachtomodelingflexiblebodymotionwithlargedeformationdisplacementandtimevaryinglength AT shoichirotakehara numericalapproachtomodelingflexiblebodymotionwithlargedeformationdisplacementandtimevaryinglength AT yoshiakiterumichi numericalapproachtomodelingflexiblebodymotionwithlargedeformationdisplacementandtimevaryinglength
_version_	1718409725809262592

Numerical approach to modeling flexible body motion with large deformation, displacement and time-varying length

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