Optimal design of a series-type double-mass hysteretically damped dynamic vibration absorber based on the stability criterion

In most dynamic vibration absorbers (DVAs) used in practical applications, polymeric materials that have both restoring capabilities and damping effects are used instead of coil springs as spring elements. It is known that the damping force for such polymeric materials has hysteretic characteristics...

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Autores principales:	Toshihiko ASAMI, Keisuke YAMADA
Formato:	article
Lenguaje:	EN
Publicado:	The Japan Society of Mechanical Engineers 2021
Materias:	vibration optimal design transient vibration hysteretically damped dynamic vibration absorber series-type double-mass absorber stability maximization criterion damped primary system Mechanical engineering and machinery TJ1-1570
Acceso en línea:	https://doaj.org/article/64486f82ae6a4e1b83407ddb10b70178
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spelling	oai:doaj.org-article:64486f82ae6a4e1b83407ddb10b701782021-11-29T06:07:02ZOptimal design of a series-type double-mass hysteretically damped dynamic vibration absorber based on the stability criterion2187-974510.1299/mej.20-00476https://doaj.org/article/64486f82ae6a4e1b83407ddb10b701782021-06-01T00:00:00Zhttps://www.jstage.jst.go.jp/article/mej/8/3/8_20-00476/_pdf/-char/enhttps://doaj.org/toc/2187-9745In most dynamic vibration absorbers (DVAs) used in practical applications, polymeric materials that have both restoring capabilities and damping effects are used instead of coil springs as spring elements. It is known that the damping force for such polymeric materials has hysteretic characteristics and varies in proportion to the relative displacement rather than the relative velocity between objects. This paper proposes an optimal design formula for a double-mass hysteretically damped DVA with two masses connected in series. For the design of the DVA in this study, the stability maximization criterion, which attenuates the free-vibration response of the primary system in the shortest time, was adopted. It was found that the optimal design expression for installing the series-type double-mass DVA on an undamped primary system can be expressed by a very simple formula. The maximized stability, which determines the speed of vibration convergence, of the double-mass DVA was 1.7 times that of the corresponding single-mass DVA. When there is damping in the primary system, the optimal design condition for the DVA cannot be expressed with such a simple formula, but an equation to calculate it is presented in this paper. The equation can be easily solved numerically, and the results show that the stability of the system is further increased compared to the undamped primary system.Toshihiko ASAMIKeisuke YAMADAThe Japan Society of Mechanical Engineersarticlevibrationoptimal designtransient vibrationhysteretically damped dynamic vibration absorberseries-type double-mass absorberstability maximization criteriondamped primary systemMechanical engineering and machineryTJ1-1570ENMechanical Engineering Journal, Vol 8, Iss 3, Pp 20-00476-20-00476 (2021)
institution	DOAJ
collection	DOAJ
language	EN
topic	vibration optimal design transient vibration hysteretically damped dynamic vibration absorber series-type double-mass absorber stability maximization criterion damped primary system Mechanical engineering and machinery TJ1-1570
spellingShingle	vibration optimal design transient vibration hysteretically damped dynamic vibration absorber series-type double-mass absorber stability maximization criterion damped primary system Mechanical engineering and machinery TJ1-1570 Toshihiko ASAMI Keisuke YAMADA Optimal design of a series-type double-mass hysteretically damped dynamic vibration absorber based on the stability criterion
description	In most dynamic vibration absorbers (DVAs) used in practical applications, polymeric materials that have both restoring capabilities and damping effects are used instead of coil springs as spring elements. It is known that the damping force for such polymeric materials has hysteretic characteristics and varies in proportion to the relative displacement rather than the relative velocity between objects. This paper proposes an optimal design formula for a double-mass hysteretically damped DVA with two masses connected in series. For the design of the DVA in this study, the stability maximization criterion, which attenuates the free-vibration response of the primary system in the shortest time, was adopted. It was found that the optimal design expression for installing the series-type double-mass DVA on an undamped primary system can be expressed by a very simple formula. The maximized stability, which determines the speed of vibration convergence, of the double-mass DVA was 1.7 times that of the corresponding single-mass DVA. When there is damping in the primary system, the optimal design condition for the DVA cannot be expressed with such a simple formula, but an equation to calculate it is presented in this paper. The equation can be easily solved numerically, and the results show that the stability of the system is further increased compared to the undamped primary system.
format	article
author	Toshihiko ASAMI Keisuke YAMADA
author_facet	Toshihiko ASAMI Keisuke YAMADA
author_sort	Toshihiko ASAMI
title	Optimal design of a series-type double-mass hysteretically damped dynamic vibration absorber based on the stability criterion
title_short	Optimal design of a series-type double-mass hysteretically damped dynamic vibration absorber based on the stability criterion
title_full	Optimal design of a series-type double-mass hysteretically damped dynamic vibration absorber based on the stability criterion
title_fullStr	Optimal design of a series-type double-mass hysteretically damped dynamic vibration absorber based on the stability criterion
title_full_unstemmed	Optimal design of a series-type double-mass hysteretically damped dynamic vibration absorber based on the stability criterion
title_sort	optimal design of a series-type double-mass hysteretically damped dynamic vibration absorber based on the stability criterion
publisher	The Japan Society of Mechanical Engineers
publishDate	2021
url	https://doaj.org/article/64486f82ae6a4e1b83407ddb10b70178
work_keys_str_mv	AT toshihikoasami optimaldesignofaseriestypedoublemasshystereticallydampeddynamicvibrationabsorberbasedonthestabilitycriterion AT keisukeyamada optimaldesignofaseriestypedoublemasshystereticallydampeddynamicvibrationabsorberbasedonthestabilitycriterion
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Optimal design of a series-type double-mass hysteretically damped dynamic vibration absorber based on the stability criterion

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