Calculation of the H∞ optimized design of a single-mass dynamic vibration absorber attached to a damped primary system

There are three criteria typically used in the design of dynamic vibration absorbers (DVAs): H∞ optimization, H2 optimization, and stability maximization. Recently, interest has shifted to the optimization of multi-mass DVAs, but in fact, in even the most basic single-mass DVA, the effect of primary...

Descripción completa

Guardado en:

Detalles Bibliográficos
Autor principal:	Toshihiko ASAMI
Formato:	article
Lenguaje:	EN
Publicado:	The Japan Society of Mechanical Engineers 2020
Materias:	dynamic vibration absorber damped primary system h∞ optimization formula manipulation exact algebraic equation compliance transfer function mobility and accelerance functions Mechanical engineering and machinery TJ1-1570
Acceso en línea:	https://doaj.org/article/4e3209e192514082abdafe75da3c497b
Etiquetas:	Agregar Etiqueta Sin Etiquetas, Sea el primero en etiquetar este registro!

id	oai:doaj.org-article:4e3209e192514082abdafe75da3c497b
record_format	dspace
spelling	oai:doaj.org-article:4e3209e192514082abdafe75da3c497b2021-11-29T06:01:26ZCalculation of the H∞ optimized design of a single-mass dynamic vibration absorber attached to a damped primary system2187-974510.1299/mej.20-00250https://doaj.org/article/4e3209e192514082abdafe75da3c497b2020-08-01T00:00:00Zhttps://www.jstage.jst.go.jp/article/mej/7/5/7_20-00250/_pdf/-char/enhttps://doaj.org/toc/2187-9745There are three criteria typically used in the design of dynamic vibration absorbers (DVAs): H∞ optimization, H2 optimization, and stability maximization. Recently, interest has shifted to the optimization of multi-mass DVAs, but in fact, in even the most basic single-mass DVA, the effect of primary system damping on the optimal solution is still not fully understood with respect to the H∞ criterion. The author has recently reported an exact H∞-optimal solution for a series-type double-mass DVA attached to a damped primary system. This article presents the application of this H∞ optimization method developed for a double-mass DVA to the optimization of a single-mass DVA. In the H∞ optimization of the mobility transfer function, a highly accurate numerical solution was successfully obtained by solving a single sixth-order algebraic equation. In the case of the optimization of the compliance and accelerance transfer functions, it is shown that a highly accurate numerical solution can be obtained by solving ternary systems of simultaneous algebraic equations. It should be noted that the equations presented in this paper can be factorized into simpler equations when there is no damping in the primary system. It is also demonstrated herein that the factorized expressions yield the previously published H∞-optimal solutions.Toshihiko ASAMIThe Japan Society of Mechanical Engineersarticledynamic vibration absorberdamped primary systemh∞ optimizationformula manipulationexact algebraic equationcompliance transfer functionmobility and accelerance functionsMechanical engineering and machineryTJ1-1570ENMechanical Engineering Journal, Vol 7, Iss 5, Pp 20-00250-20-00250 (2020)
institution	DOAJ
collection	DOAJ
language	EN
topic	dynamic vibration absorber damped primary system h∞ optimization formula manipulation exact algebraic equation compliance transfer function mobility and accelerance functions Mechanical engineering and machinery TJ1-1570
spellingShingle	dynamic vibration absorber damped primary system h∞ optimization formula manipulation exact algebraic equation compliance transfer function mobility and accelerance functions Mechanical engineering and machinery TJ1-1570 Toshihiko ASAMI Calculation of the H∞ optimized design of a single-mass dynamic vibration absorber attached to a damped primary system
description	There are three criteria typically used in the design of dynamic vibration absorbers (DVAs): H∞ optimization, H2 optimization, and stability maximization. Recently, interest has shifted to the optimization of multi-mass DVAs, but in fact, in even the most basic single-mass DVA, the effect of primary system damping on the optimal solution is still not fully understood with respect to the H∞ criterion. The author has recently reported an exact H∞-optimal solution for a series-type double-mass DVA attached to a damped primary system. This article presents the application of this H∞ optimization method developed for a double-mass DVA to the optimization of a single-mass DVA. In the H∞ optimization of the mobility transfer function, a highly accurate numerical solution was successfully obtained by solving a single sixth-order algebraic equation. In the case of the optimization of the compliance and accelerance transfer functions, it is shown that a highly accurate numerical solution can be obtained by solving ternary systems of simultaneous algebraic equations. It should be noted that the equations presented in this paper can be factorized into simpler equations when there is no damping in the primary system. It is also demonstrated herein that the factorized expressions yield the previously published H∞-optimal solutions.
format	article
author	Toshihiko ASAMI
author_facet	Toshihiko ASAMI
author_sort	Toshihiko ASAMI
title	Calculation of the H∞ optimized design of a single-mass dynamic vibration absorber attached to a damped primary system
title_short	Calculation of the H∞ optimized design of a single-mass dynamic vibration absorber attached to a damped primary system
title_full	Calculation of the H∞ optimized design of a single-mass dynamic vibration absorber attached to a damped primary system
title_fullStr	Calculation of the H∞ optimized design of a single-mass dynamic vibration absorber attached to a damped primary system
title_full_unstemmed	Calculation of the H∞ optimized design of a single-mass dynamic vibration absorber attached to a damped primary system
title_sort	calculation of the h∞ optimized design of a single-mass dynamic vibration absorber attached to a damped primary system
publisher	The Japan Society of Mechanical Engineers
publishDate	2020
url	https://doaj.org/article/4e3209e192514082abdafe75da3c497b
work_keys_str_mv	AT toshihikoasami calculationofthehoptimizeddesignofasinglemassdynamicvibrationabsorberattachedtoadampedprimarysystem
_version_	1718407583718440960

Calculation of the H∞ optimized design of a single-mass dynamic vibration absorber attached to a damped primary system

Ejemplares similares