Characteristics of a self-excited vibration of a plate supported by air pressure (Influence of chamber volume and slit width on occurrence conditions of the self-excited vibration)
This paper presents experiments and an analysis of the self-excited vibration of a plate supported by air pressure. In the analysis, the unsteady fluid force acting on the plate is calculated based on the basic equation of a two-dimensional gap flow between the plate and a chamber surface. The basic...
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Format: | Article |
Language: | Japanese |
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The Japan Society of Mechanical Engineers
2018-02-01
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Series: | Nihon Kikai Gakkai ronbunshu |
Subjects: | |
Online Access: | https://www.jstage.jst.go.jp/article/transjsme/84/858/84_17-00415/_pdf/-char/en |
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author | Masakazu TAKEDA Masahiro WATANABE |
author_facet | Masakazu TAKEDA Masahiro WATANABE |
author_sort | Masakazu TAKEDA |
collection | DOAJ |
description | This paper presents experiments and an analysis of the self-excited vibration of a plate supported by air pressure. In the analysis, the unsteady fluid force acting on the plate is calculated based on the basic equation of a two-dimensional gap flow between the plate and a chamber surface. The basic equation considers the effect of air compressibility in the chamber. The characteristic equation of the system is derived from the plate motion coupled with the unsteady fluid force acting on the plate. The instability condition and vibration frequency are predicted through the root locus of the system with changing air flow rate supplied to the chamber. The experiment consists of a plate supported by the air pressure supplied from a slit on the upper surface of the chamber, where the vibration characteristics are examined. The influence of the slit width and chamber volume on the instability condition of the self-excited vibration is clarified comparing the analytical result with experiments. Moreover, the local work done by the unsteady fluid force acting on the plate (bottom surface) is shown in this paper, and the instability mechanism is discussed. Lastly, the influence of slit width on the unsteady fluid force is addressed by the block diagram showing the phase relationship of pressure fluctuation and plate displacement. |
first_indexed | 2024-04-12T07:53:38Z |
format | Article |
id | doaj.art-c076ccdd311c4e739bf2b282202a0a4f |
institution | Directory Open Access Journal |
issn | 2187-9761 |
language | Japanese |
last_indexed | 2024-04-12T07:53:38Z |
publishDate | 2018-02-01 |
publisher | The Japan Society of Mechanical Engineers |
record_format | Article |
series | Nihon Kikai Gakkai ronbunshu |
spelling | doaj.art-c076ccdd311c4e739bf2b282202a0a4f2022-12-22T03:41:32ZjpnThe Japan Society of Mechanical EngineersNihon Kikai Gakkai ronbunshu2187-97612018-02-018485817-0041517-0041510.1299/transjsme.17-00415transjsmeCharacteristics of a self-excited vibration of a plate supported by air pressure (Influence of chamber volume and slit width on occurrence conditions of the self-excited vibration)Masakazu TAKEDA0Masahiro WATANABE1Aoyama Gakuin Univ. Dept. of Mechanical EngineeringAoyama Gakuin Univ. Dept. of Mechanical EngineeringThis paper presents experiments and an analysis of the self-excited vibration of a plate supported by air pressure. In the analysis, the unsteady fluid force acting on the plate is calculated based on the basic equation of a two-dimensional gap flow between the plate and a chamber surface. The basic equation considers the effect of air compressibility in the chamber. The characteristic equation of the system is derived from the plate motion coupled with the unsteady fluid force acting on the plate. The instability condition and vibration frequency are predicted through the root locus of the system with changing air flow rate supplied to the chamber. The experiment consists of a plate supported by the air pressure supplied from a slit on the upper surface of the chamber, where the vibration characteristics are examined. The influence of the slit width and chamber volume on the instability condition of the self-excited vibration is clarified comparing the analytical result with experiments. Moreover, the local work done by the unsteady fluid force acting on the plate (bottom surface) is shown in this paper, and the instability mechanism is discussed. Lastly, the influence of slit width on the unsteady fluid force is addressed by the block diagram showing the phase relationship of pressure fluctuation and plate displacement.https://www.jstage.jst.go.jp/article/transjsme/84/858/84_17-00415/_pdf/-char/enself-excited vibrationplateunsteady fluid forcechamber volumeslit width |
spellingShingle | Masakazu TAKEDA Masahiro WATANABE Characteristics of a self-excited vibration of a plate supported by air pressure (Influence of chamber volume and slit width on occurrence conditions of the self-excited vibration) Nihon Kikai Gakkai ronbunshu self-excited vibration plate unsteady fluid force chamber volume slit width |
title | Characteristics of a self-excited vibration of a plate supported by air pressure (Influence of chamber volume and slit width on occurrence conditions of the self-excited vibration) |
title_full | Characteristics of a self-excited vibration of a plate supported by air pressure (Influence of chamber volume and slit width on occurrence conditions of the self-excited vibration) |
title_fullStr | Characteristics of a self-excited vibration of a plate supported by air pressure (Influence of chamber volume and slit width on occurrence conditions of the self-excited vibration) |
title_full_unstemmed | Characteristics of a self-excited vibration of a plate supported by air pressure (Influence of chamber volume and slit width on occurrence conditions of the self-excited vibration) |
title_short | Characteristics of a self-excited vibration of a plate supported by air pressure (Influence of chamber volume and slit width on occurrence conditions of the self-excited vibration) |
title_sort | characteristics of a self excited vibration of a plate supported by air pressure influence of chamber volume and slit width on occurrence conditions of the self excited vibration |
topic | self-excited vibration plate unsteady fluid force chamber volume slit width |
url | https://www.jstage.jst.go.jp/article/transjsme/84/858/84_17-00415/_pdf/-char/en |
work_keys_str_mv | AT masakazutakeda characteristicsofaselfexcitedvibrationofaplatesupportedbyairpressureinfluenceofchambervolumeandslitwidthonoccurrenceconditionsoftheselfexcitedvibration AT masahirowatanabe characteristicsofaselfexcitedvibrationofaplatesupportedbyairpressureinfluenceofchambervolumeandslitwidthonoccurrenceconditionsoftheselfexcitedvibration |