Forced vibration experiments of a rotating extremely thin circular membrane

Vibration modes of a rotating circular membrane with extremely small thickness are investigated. In the previous papers, the author has conducted theoretical analysis of the membrane's equilibrium states and small vibration modes under gravity, employing the membrane theory of shell of revo...

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Autor principal:	Nobukatsu OKUIZUMI
Formato:	article
Lenguaje:	EN
Publicado:	The Japan Society of Mechanical Engineers 2014
Materias:	rotating membrane vibration mode theoretical analysis forced vibration experiment wrinkling Mechanical engineering and machinery TJ1-1570
Acceso en línea:	https://doaj.org/article/35b2b4d7255a48899f749725eaff6efa
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spelling	oai:doaj.org-article:35b2b4d7255a48899f749725eaff6efa2021-11-26T06:12:42ZForced vibration experiments of a rotating extremely thin circular membrane2187-974510.1299/mej.2014dr0054https://doaj.org/article/35b2b4d7255a48899f749725eaff6efa2014-10-01T00:00:00Zhttps://www.jstage.jst.go.jp/article/mej/1/5/1_2014dr0054/_pdf/-char/enhttps://doaj.org/toc/2187-9745Vibration modes of a rotating circular membrane with extremely small thickness are investigated. In the previous papers, the author has conducted theoretical analysis of the membrane's equilibrium states and small vibration modes under gravity, employing the membrane theory of shell of revolution and von Karman's vibration equation and taking buckling of the thin membrane into account. In this paper, the vibration mode analysis is briefly summarized and the vibration modes are experimentally investigated in detail. An experimental system that can rotate and vibrate the circular membrane simultaneously in vacuum is created, and forced vibration experiments are performed with a wide range of rotation and excitation frequencies. Several vibration modes are observed and two kinds of resonance points are obtained by the experiments. Experimental results are compared with analytical results, and the resonance points and a few basic vibration modes are found to appear similarly in both. It is also found that the frequencies of the lowest vibration mode observed in the experiment are higher than those of the vibration mode analysis. In view of the compressive stress, i.e. wrinkling in circumferential direction due to finite amplitude vibration of the thin membrane, the vibration mode analysis is modified and the difference of the mode frequency is explained.Nobukatsu OKUIZUMIThe Japan Society of Mechanical Engineersarticlerotating membranevibration modetheoretical analysisforced vibration experimentwrinklingMechanical engineering and machineryTJ1-1570ENMechanical Engineering Journal, Vol 1, Iss 5, Pp DR0054-DR0054 (2014)
institution	DOAJ
collection	DOAJ
language	EN
topic	rotating membrane vibration mode theoretical analysis forced vibration experiment wrinkling Mechanical engineering and machinery TJ1-1570
spellingShingle	rotating membrane vibration mode theoretical analysis forced vibration experiment wrinkling Mechanical engineering and machinery TJ1-1570 Nobukatsu OKUIZUMI Forced vibration experiments of a rotating extremely thin circular membrane
description	Vibration modes of a rotating circular membrane with extremely small thickness are investigated. In the previous papers, the author has conducted theoretical analysis of the membrane's equilibrium states and small vibration modes under gravity, employing the membrane theory of shell of revolution and von Karman's vibration equation and taking buckling of the thin membrane into account. In this paper, the vibration mode analysis is briefly summarized and the vibration modes are experimentally investigated in detail. An experimental system that can rotate and vibrate the circular membrane simultaneously in vacuum is created, and forced vibration experiments are performed with a wide range of rotation and excitation frequencies. Several vibration modes are observed and two kinds of resonance points are obtained by the experiments. Experimental results are compared with analytical results, and the resonance points and a few basic vibration modes are found to appear similarly in both. It is also found that the frequencies of the lowest vibration mode observed in the experiment are higher than those of the vibration mode analysis. In view of the compressive stress, i.e. wrinkling in circumferential direction due to finite amplitude vibration of the thin membrane, the vibration mode analysis is modified and the difference of the mode frequency is explained.
format	article
author	Nobukatsu OKUIZUMI
author_facet	Nobukatsu OKUIZUMI
author_sort	Nobukatsu OKUIZUMI
title	Forced vibration experiments of a rotating extremely thin circular membrane
title_short	Forced vibration experiments of a rotating extremely thin circular membrane
title_full	Forced vibration experiments of a rotating extremely thin circular membrane
title_fullStr	Forced vibration experiments of a rotating extremely thin circular membrane
title_full_unstemmed	Forced vibration experiments of a rotating extremely thin circular membrane
title_sort	forced vibration experiments of a rotating extremely thin circular membrane
publisher	The Japan Society of Mechanical Engineers
publishDate	2014
url	https://doaj.org/article/35b2b4d7255a48899f749725eaff6efa
work_keys_str_mv	AT nobukatsuokuizumi forcedvibrationexperimentsofarotatingextremelythincircularmembrane
_version_	1718409771604770816

Forced vibration experiments of a rotating extremely thin circular membrane

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