Linear optimization method for layout of unconstrained damping materials with negligible effect on eigenmode

Damping materials are sometimes employed to reduce vibrations. In vehicles, weight reduction and a high damping effect are required to reduce environmental impacts. Many studies have been conducted to determine an optimal topological layout with a high damping effect under a limited amount of dampin...

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Autores principales:	Seita INOZUME, Tatsuhito AIHARA
Formato:	article
Lenguaje:	EN
Publicado:	The Japan Society of Mechanical Engineers 2020
Materias:	topology optimization damping material loss factor modal strain energy method finite element method Mechanical engineering and machinery TJ1-1570
Acceso en línea:	https://doaj.org/article/0b94f93f616746f5894bd699114ad264
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spelling	oai:doaj.org-article:0b94f93f616746f5894bd699114ad2642021-11-29T06:02:35ZLinear optimization method for layout of unconstrained damping materials with negligible effect on eigenmode2187-974510.1299/mej.20-00121https://doaj.org/article/0b94f93f616746f5894bd699114ad2642020-10-01T00:00:00Zhttps://www.jstage.jst.go.jp/article/mej/7/6/7_20-00121/_pdf/-char/enhttps://doaj.org/toc/2187-9745Damping materials are sometimes employed to reduce vibrations. In vehicles, weight reduction and a high damping effect are required to reduce environmental impacts. Many studies have been conducted to determine an optimal topological layout with a high damping effect under a limited amount of damping material. However, many methods require finite element analysis to be performed several times owing to the nonlinearity of the objective function. In addition, if there exists a problem with the optimal shape, it is necessary to use a filter or change the penalty parameter and perform optimization again. Therefore, this study proposes a method to linearize optimization problems to reduce the number of finite element analysis procedures required, under the assumption that the layout of the damping material does not affect the eigenmode when the base structure is damped via unconstrained layer damping treatment. Several numerical examples are provided to demonstrate the effectiveness of proposed method. The verification results show that the optimal layout and loss factor of the proposed and conventional methods were similar for a large-scale finite element analysis model. Moreover, this study proposes an optimality evaluation method using the modal assurance criterion. As long as the assumption holds true, the proposed method can significantly improve the time efficiency when repeating optimization under different conditions.Seita INOZUMETatsuhito AIHARAThe Japan Society of Mechanical Engineersarticletopology optimizationdamping materialloss factormodal strain energy methodfinite element methodMechanical engineering and machineryTJ1-1570ENMechanical Engineering Journal, Vol 7, Iss 6, Pp 20-00121-20-00121 (2020)
institution	DOAJ
collection	DOAJ
language	EN
topic	topology optimization damping material loss factor modal strain energy method finite element method Mechanical engineering and machinery TJ1-1570
spellingShingle	topology optimization damping material loss factor modal strain energy method finite element method Mechanical engineering and machinery TJ1-1570 Seita INOZUME Tatsuhito AIHARA Linear optimization method for layout of unconstrained damping materials with negligible effect on eigenmode
description	Damping materials are sometimes employed to reduce vibrations. In vehicles, weight reduction and a high damping effect are required to reduce environmental impacts. Many studies have been conducted to determine an optimal topological layout with a high damping effect under a limited amount of damping material. However, many methods require finite element analysis to be performed several times owing to the nonlinearity of the objective function. In addition, if there exists a problem with the optimal shape, it is necessary to use a filter or change the penalty parameter and perform optimization again. Therefore, this study proposes a method to linearize optimization problems to reduce the number of finite element analysis procedures required, under the assumption that the layout of the damping material does not affect the eigenmode when the base structure is damped via unconstrained layer damping treatment. Several numerical examples are provided to demonstrate the effectiveness of proposed method. The verification results show that the optimal layout and loss factor of the proposed and conventional methods were similar for a large-scale finite element analysis model. Moreover, this study proposes an optimality evaluation method using the modal assurance criterion. As long as the assumption holds true, the proposed method can significantly improve the time efficiency when repeating optimization under different conditions.
format	article
author	Seita INOZUME Tatsuhito AIHARA
author_facet	Seita INOZUME Tatsuhito AIHARA
author_sort	Seita INOZUME
title	Linear optimization method for layout of unconstrained damping materials with negligible effect on eigenmode
title_short	Linear optimization method for layout of unconstrained damping materials with negligible effect on eigenmode
title_full	Linear optimization method for layout of unconstrained damping materials with negligible effect on eigenmode
title_fullStr	Linear optimization method for layout of unconstrained damping materials with negligible effect on eigenmode
title_full_unstemmed	Linear optimization method for layout of unconstrained damping materials with negligible effect on eigenmode
title_sort	linear optimization method for layout of unconstrained damping materials with negligible effect on eigenmode
publisher	The Japan Society of Mechanical Engineers
publishDate	2020
url	https://doaj.org/article/0b94f93f616746f5894bd699114ad264
work_keys_str_mv	AT seitainozume linearoptimizationmethodforlayoutofunconstraineddampingmaterialswithnegligibleeffectoneigenmode AT tatsuhitoaihara linearoptimizationmethodforlayoutofunconstraineddampingmaterialswithnegligibleeffectoneigenmode
_version_	1718407567955197952

Linear optimization method for layout of unconstrained damping materials with negligible effect on eigenmode

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