Numerical solutions for optimal double-mass dynamic vibration absorbers attached to a damped primary system

Because double-mass dynamic vibration absorbers (DVAs) are superior to single-mass DVAs in terms of their vibration suppression performance and robustness, they have been increasingly studied recently. The optimization of double-mass DVAs is much more difficult than that of single-mass DVAs. However...

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Autores principales:	Toshihiko ASAMI, Keisuke YAMADA
Formato:	article
Lenguaje:	EN
Publicado:	The Japan Society of Mechanical Engineers 2020
Materias:	vibration optimal design double-mass dynamic vibration absorbers h∞ optimization criterion h2 optimization criterion stability maximization criterion damped primary system Mechanical engineering and machinery TJ1-1570
Acceso en línea:	https://doaj.org/article/6aed39c8b04b42e58eb994633da9b923
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spelling	oai:doaj.org-article:6aed39c8b04b42e58eb994633da9b9232021-11-29T05:53:24ZNumerical solutions for optimal double-mass dynamic vibration absorbers attached to a damped primary system2187-974510.1299/mej.19-00051https://doaj.org/article/6aed39c8b04b42e58eb994633da9b9232020-02-01T00:00:00Zhttps://www.jstage.jst.go.jp/article/mej/7/2/7_19-00051/_pdf/-char/enhttps://doaj.org/toc/2187-9745Because double-mass dynamic vibration absorbers (DVAs) are superior to single-mass DVAs in terms of their vibration suppression performance and robustness, they have been increasingly studied recently. The optimization of double-mass DVAs is much more difficult than that of single-mass DVAs. However, recently, the ability of formula manipulation solvers typified by Mathematica has greatly improved, and exact algebraic solutions have been obtained for double-mass DVAs. The optimal solution for a double-mass DVA attached to a damped primary system has been reported in the form of an exact algebraic solution in a previous report. That paper reported the algebraic optimal solutions for a series-type double-mass DVA for the compliance and mobility transfer functions of the primary system successfully obtained by applying three different optimization criteria: H∞ optimization, H2 optimization, and stability maximization. In the present article, the numerical solutions to optimization problems for double-mass DVAs that cannot be algebraically solved are presented. There are two types of double-mass DVAs: series- and parallel-type DVAs. When applying the three optimization criteria mentioned above to each of them, there exist a total of 22 different optimal solutions because there are three transfer functions— the compliance, mobility, and accelerance transfer functions—that are typically used to describe the absolute response of the primary system. Of these 22 solutions, 10 solutions for the compliance transfer function are introduced in this article.Toshihiko ASAMIKeisuke YAMADAThe Japan Society of Mechanical Engineersarticlevibrationoptimal designdouble-mass dynamic vibration absorbersh∞ optimization criterionh2 optimization criterionstability maximization criteriondamped primary systemMechanical engineering and machineryTJ1-1570ENMechanical Engineering Journal, Vol 7, Iss 2, Pp 19-00051-19-00051 (2020)
institution	DOAJ
collection	DOAJ
language	EN
topic	vibration optimal design double-mass dynamic vibration absorbers h∞ optimization criterion h2 optimization criterion stability maximization criterion damped primary system Mechanical engineering and machinery TJ1-1570
spellingShingle	vibration optimal design double-mass dynamic vibration absorbers h∞ optimization criterion h2 optimization criterion stability maximization criterion damped primary system Mechanical engineering and machinery TJ1-1570 Toshihiko ASAMI Keisuke YAMADA Numerical solutions for optimal double-mass dynamic vibration absorbers attached to a damped primary system
description	Because double-mass dynamic vibration absorbers (DVAs) are superior to single-mass DVAs in terms of their vibration suppression performance and robustness, they have been increasingly studied recently. The optimization of double-mass DVAs is much more difficult than that of single-mass DVAs. However, recently, the ability of formula manipulation solvers typified by Mathematica has greatly improved, and exact algebraic solutions have been obtained for double-mass DVAs. The optimal solution for a double-mass DVA attached to a damped primary system has been reported in the form of an exact algebraic solution in a previous report. That paper reported the algebraic optimal solutions for a series-type double-mass DVA for the compliance and mobility transfer functions of the primary system successfully obtained by applying three different optimization criteria: H∞ optimization, H2 optimization, and stability maximization. In the present article, the numerical solutions to optimization problems for double-mass DVAs that cannot be algebraically solved are presented. There are two types of double-mass DVAs: series- and parallel-type DVAs. When applying the three optimization criteria mentioned above to each of them, there exist a total of 22 different optimal solutions because there are three transfer functions— the compliance, mobility, and accelerance transfer functions—that are typically used to describe the absolute response of the primary system. Of these 22 solutions, 10 solutions for the compliance transfer function are introduced in this article.
format	article
author	Toshihiko ASAMI Keisuke YAMADA
author_facet	Toshihiko ASAMI Keisuke YAMADA
author_sort	Toshihiko ASAMI
title	Numerical solutions for optimal double-mass dynamic vibration absorbers attached to a damped primary system
title_short	Numerical solutions for optimal double-mass dynamic vibration absorbers attached to a damped primary system
title_full	Numerical solutions for optimal double-mass dynamic vibration absorbers attached to a damped primary system
title_fullStr	Numerical solutions for optimal double-mass dynamic vibration absorbers attached to a damped primary system
title_full_unstemmed	Numerical solutions for optimal double-mass dynamic vibration absorbers attached to a damped primary system
title_sort	numerical solutions for optimal double-mass dynamic vibration absorbers attached to a damped primary system
publisher	The Japan Society of Mechanical Engineers
publishDate	2020
url	https://doaj.org/article/6aed39c8b04b42e58eb994633da9b923
work_keys_str_mv	AT toshihikoasami numericalsolutionsforoptimaldoublemassdynamicvibrationabsorbersattachedtoadampedprimarysystem AT keisukeyamada numericalsolutionsforoptimaldoublemassdynamicvibrationabsorbersattachedtoadampedprimarysystem
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Numerical solutions for optimal double-mass dynamic vibration absorbers attached to a damped primary system

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