Optimum tuning of damped Helmholtz silencer using an equivalent discrete model and considering open-end correction

This paper describes the optimum tuning of damped Helmholtz silencers. In this study, Helmholtz resonators are used as silencers that suppress acoustic resonance in host acoustic fields. Side branch silencers and Helmholtz silencers are commonly known as a type of vibration absorber; however, damped...

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Autores principales:	Keisuke YAMADA, Tatsuya SHIMIZU, Hideo UTSUNO, Junichi KURATA, Yoshihiro MURAKAMI
Formato:	article
Lenguaje:	EN
Publicado:	The Japan Society of Mechanical Engineers 2021
Materias:	helmholtz resonator helmholtz silencer silencer dynamic vibration absorber acoustic field modal analysis open-end correction residual modes damping Mechanical engineering and machinery TJ1-1570
Acceso en línea:	https://doaj.org/article/22078ae3a81b4cd98ad647b231066c1a
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spelling	oai:doaj.org-article:22078ae3a81b4cd98ad647b231066c1a2021-11-29T06:09:58ZOptimum tuning of damped Helmholtz silencer using an equivalent discrete model and considering open-end correction2187-974510.1299/mej.21-00139https://doaj.org/article/22078ae3a81b4cd98ad647b231066c1a2021-08-01T00:00:00Zhttps://www.jstage.jst.go.jp/article/mej/8/4/8_21-00139/_pdf/-char/enhttps://doaj.org/toc/2187-9745This paper describes the optimum tuning of damped Helmholtz silencers. In this study, Helmholtz resonators are used as silencers that suppress acoustic resonance in host acoustic fields. Side branch silencers and Helmholtz silencers are commonly known as a type of vibration absorber; however, damped silencers have not been thoroughly studied thus far. Therefore, prior to this paper, we reported the optimum tuning of damped side branch silencers using modal analysis and two fixed point method. In this paper, we additionally describe the optimum tuning of damped Helmholtz silencers in a similar fashion as in our previous paper. The resonance mechanism of Helmholtz silencers is different from that of side branch silencers. The coupled vibration between the host acoustic field and Helmholtz silencer was theoretically analyzed using modal analysis in this study. An equivalent discrete model was obtained using the equations of motion using modal coordinate systems. Using the equivalent discrete model, the open-end correction of the neck of the Helmholtz silencer was considered, and the number of degrees of freedom of the equivalent discrete model was reduced to two to derive optimum tuning conditions using the two fixed point method. The optimum natural frequency ratio and loss factor of the Helmholtz silencer were derived using the vibration model with two degrees of freedom. The theoretical analysis was validated through simulations and experiments.Keisuke YAMADATatsuya SHIMIZUHideo UTSUNOJunichi KURATAYoshihiro MURAKAMIThe Japan Society of Mechanical Engineersarticlehelmholtz resonatorhelmholtz silencersilencerdynamic vibration absorberacoustic fieldmodal analysisopen-end correctionresidual modesdampingMechanical engineering and machineryTJ1-1570ENMechanical Engineering Journal, Vol 8, Iss 4, Pp 21-00139-21-00139 (2021)
institution	DOAJ
collection	DOAJ
language	EN
topic	helmholtz resonator helmholtz silencer silencer dynamic vibration absorber acoustic field modal analysis open-end correction residual modes damping Mechanical engineering and machinery TJ1-1570
spellingShingle	helmholtz resonator helmholtz silencer silencer dynamic vibration absorber acoustic field modal analysis open-end correction residual modes damping Mechanical engineering and machinery TJ1-1570 Keisuke YAMADA Tatsuya SHIMIZU Hideo UTSUNO Junichi KURATA Yoshihiro MURAKAMI Optimum tuning of damped Helmholtz silencer using an equivalent discrete model and considering open-end correction
description	This paper describes the optimum tuning of damped Helmholtz silencers. In this study, Helmholtz resonators are used as silencers that suppress acoustic resonance in host acoustic fields. Side branch silencers and Helmholtz silencers are commonly known as a type of vibration absorber; however, damped silencers have not been thoroughly studied thus far. Therefore, prior to this paper, we reported the optimum tuning of damped side branch silencers using modal analysis and two fixed point method. In this paper, we additionally describe the optimum tuning of damped Helmholtz silencers in a similar fashion as in our previous paper. The resonance mechanism of Helmholtz silencers is different from that of side branch silencers. The coupled vibration between the host acoustic field and Helmholtz silencer was theoretically analyzed using modal analysis in this study. An equivalent discrete model was obtained using the equations of motion using modal coordinate systems. Using the equivalent discrete model, the open-end correction of the neck of the Helmholtz silencer was considered, and the number of degrees of freedom of the equivalent discrete model was reduced to two to derive optimum tuning conditions using the two fixed point method. The optimum natural frequency ratio and loss factor of the Helmholtz silencer were derived using the vibration model with two degrees of freedom. The theoretical analysis was validated through simulations and experiments.
format	article
author	Keisuke YAMADA Tatsuya SHIMIZU Hideo UTSUNO Junichi KURATA Yoshihiro MURAKAMI
author_facet	Keisuke YAMADA Tatsuya SHIMIZU Hideo UTSUNO Junichi KURATA Yoshihiro MURAKAMI
author_sort	Keisuke YAMADA
title	Optimum tuning of damped Helmholtz silencer using an equivalent discrete model and considering open-end correction
title_short	Optimum tuning of damped Helmholtz silencer using an equivalent discrete model and considering open-end correction
title_full	Optimum tuning of damped Helmholtz silencer using an equivalent discrete model and considering open-end correction
title_fullStr	Optimum tuning of damped Helmholtz silencer using an equivalent discrete model and considering open-end correction
title_full_unstemmed	Optimum tuning of damped Helmholtz silencer using an equivalent discrete model and considering open-end correction
title_sort	optimum tuning of damped helmholtz silencer using an equivalent discrete model and considering open-end correction
publisher	The Japan Society of Mechanical Engineers
publishDate	2021
url	https://doaj.org/article/22078ae3a81b4cd98ad647b231066c1a
work_keys_str_mv	AT keisukeyamada optimumtuningofdampedhelmholtzsilencerusinganequivalentdiscretemodelandconsideringopenendcorrection AT tatsuyashimizu optimumtuningofdampedhelmholtzsilencerusinganequivalentdiscretemodelandconsideringopenendcorrection AT hideoutsuno optimumtuningofdampedhelmholtzsilencerusinganequivalentdiscretemodelandconsideringopenendcorrection AT junichikurata optimumtuningofdampedhelmholtzsilencerusinganequivalentdiscretemodelandconsideringopenendcorrection AT yoshihiromurakami optimumtuningofdampedhelmholtzsilencerusinganequivalentdiscretemodelandconsideringopenendcorrection
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Optimum tuning of damped Helmholtz silencer using an equivalent discrete model and considering open-end correction

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