A quasi-optimal design formula of a parallel-type double-mass dynamic vibration absorber based on the stability criterion

In recent years, many researchers have been attempting to optimize multi-mass dynamic vibration absorbers (DVAs) to improve the performance and robustness. To date, exact design formulas have been obtained for series-type double-mass DVAs, but for parallel-type double-mass DVAs, the optimal solution...

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Autores principales:	Toshihiko ASAMI, Keisuke YAMADA, Natsuki KAWAGUCHI
Formato:	article
Lenguaje:	EN
Publicado:	The Japan Society of Mechanical Engineers 2021
Materias:	vibration optimal design double-mass dynamic vibration absorber parallel-type absorber stability criterion damped primary system triple characteristic root algebraic manipulation Mechanical engineering and machinery TJ1-1570
Acceso en línea:	https://doaj.org/article/740f7654546d4723aabd7c7c411dd693
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id	oai:doaj.org-article:740f7654546d4723aabd7c7c411dd693
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spelling	oai:doaj.org-article:740f7654546d4723aabd7c7c411dd6932021-11-29T06:07:02ZA quasi-optimal design formula of a parallel-type double-mass dynamic vibration absorber based on the stability criterion2187-974510.1299/mej.20-00545https://doaj.org/article/740f7654546d4723aabd7c7c411dd6932021-04-01T00:00:00Zhttps://www.jstage.jst.go.jp/article/mej/8/3/8_20-00545/_pdf/-char/enhttps://doaj.org/toc/2187-9745In recent years, many researchers have been attempting to optimize multi-mass dynamic vibration absorbers (DVAs) to improve the performance and robustness. To date, exact design formulas have been obtained for series-type double-mass DVAs, but for parallel-type double-mass DVAs, the optimal solutions have only been obtained in numerical form. Moreover, the expressions for calculating the numerical solutions were extremely long, making it impossible for the average user to obtain accurate design values. Another problem with the previously published expressions is that their length amplifies the rounding errors under certain calculation conditions, and sometimes makes the calculations impossible. In this paper, we propose an approximate design formula for a parallel-type double-mass DVA that is almost comparable to the exact solution in terms of accuracy. The deterioration rate of the damping performance has been confirmed as less than 0.015% in the typical use range of DVAs (mass ratio with the primary system of less than 0.2).Toshihiko ASAMIKeisuke YAMADANatsuki KAWAGUCHIThe Japan Society of Mechanical Engineersarticlevibrationoptimal designdouble-mass dynamic vibration absorberparallel-type absorberstability criteriondamped primary systemtriple characteristic rootalgebraic manipulationMechanical engineering and machineryTJ1-1570ENMechanical Engineering Journal, Vol 8, Iss 3, Pp 20-00545-20-00545 (2021)
institution	DOAJ
collection	DOAJ
language	EN
topic	vibration optimal design double-mass dynamic vibration absorber parallel-type absorber stability criterion damped primary system triple characteristic root algebraic manipulation Mechanical engineering and machinery TJ1-1570
spellingShingle	vibration optimal design double-mass dynamic vibration absorber parallel-type absorber stability criterion damped primary system triple characteristic root algebraic manipulation Mechanical engineering and machinery TJ1-1570 Toshihiko ASAMI Keisuke YAMADA Natsuki KAWAGUCHI A quasi-optimal design formula of a parallel-type double-mass dynamic vibration absorber based on the stability criterion
description	In recent years, many researchers have been attempting to optimize multi-mass dynamic vibration absorbers (DVAs) to improve the performance and robustness. To date, exact design formulas have been obtained for series-type double-mass DVAs, but for parallel-type double-mass DVAs, the optimal solutions have only been obtained in numerical form. Moreover, the expressions for calculating the numerical solutions were extremely long, making it impossible for the average user to obtain accurate design values. Another problem with the previously published expressions is that their length amplifies the rounding errors under certain calculation conditions, and sometimes makes the calculations impossible. In this paper, we propose an approximate design formula for a parallel-type double-mass DVA that is almost comparable to the exact solution in terms of accuracy. The deterioration rate of the damping performance has been confirmed as less than 0.015% in the typical use range of DVAs (mass ratio with the primary system of less than 0.2).
format	article
author	Toshihiko ASAMI Keisuke YAMADA Natsuki KAWAGUCHI
author_facet	Toshihiko ASAMI Keisuke YAMADA Natsuki KAWAGUCHI
author_sort	Toshihiko ASAMI
title	A quasi-optimal design formula of a parallel-type double-mass dynamic vibration absorber based on the stability criterion
title_short	A quasi-optimal design formula of a parallel-type double-mass dynamic vibration absorber based on the stability criterion
title_full	A quasi-optimal design formula of a parallel-type double-mass dynamic vibration absorber based on the stability criterion
title_fullStr	A quasi-optimal design formula of a parallel-type double-mass dynamic vibration absorber based on the stability criterion
title_full_unstemmed	A quasi-optimal design formula of a parallel-type double-mass dynamic vibration absorber based on the stability criterion
title_sort	quasi-optimal design formula of a parallel-type double-mass dynamic vibration absorber based on the stability criterion
publisher	The Japan Society of Mechanical Engineers
publishDate	2021
url	https://doaj.org/article/740f7654546d4723aabd7c7c411dd693
work_keys_str_mv	AT toshihikoasami aquasioptimaldesignformulaofaparalleltypedoublemassdynamicvibrationabsorberbasedonthestabilitycriterion AT keisukeyamada aquasioptimaldesignformulaofaparalleltypedoublemassdynamicvibrationabsorberbasedonthestabilitycriterion AT natsukikawaguchi aquasioptimaldesignformulaofaparalleltypedoublemassdynamicvibrationabsorberbasedonthestabilitycriterion AT toshihikoasami quasioptimaldesignformulaofaparalleltypedoublemassdynamicvibrationabsorberbasedonthestabilitycriterion AT keisukeyamada quasioptimaldesignformulaofaparalleltypedoublemassdynamicvibrationabsorberbasedonthestabilitycriterion AT natsukikawaguchi quasioptimaldesignformulaofaparalleltypedoublemassdynamicvibrationabsorberbasedonthestabilitycriterion
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A quasi-optimal design formula of a parallel-type double-mass dynamic vibration absorber based on the stability criterion

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