Free vibration analysis of string with vibration suppressors located in center part of string

Vibration suppressors are used to change the natural frequency of an elevator rope and prevent resonance. The displacement of the parts of the elevator rope at both the ends is small compared to that of the center part of the rope; therefore, it is not necessary to position the vibration suppressors...

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Autores principales:	Hiroyuki KIMURA, Takahiro FUJITANI
Formato:	article
Lenguaje:	EN
Publicado:	The Japan Society of Mechanical Engineers 2016
Materias:	elevator vibration suppressor free vibration string exact solution rope sway Mechanical engineering and machinery TJ1-1570
Acceso en línea:	https://doaj.org/article/76c644ed8a89424f8d3394bdde6c4a2f
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spelling	oai:doaj.org-article:76c644ed8a89424f8d3394bdde6c4a2f2021-11-26T06:58:33ZFree vibration analysis of string with vibration suppressors located in center part of string2187-974510.1299/mej.16-00426https://doaj.org/article/76c644ed8a89424f8d3394bdde6c4a2f2016-10-01T00:00:00Zhttps://www.jstage.jst.go.jp/article/mej/3/6/3_16-00426/_pdf/-char/enhttps://doaj.org/toc/2187-9745Vibration suppressors are used to change the natural frequency of an elevator rope and prevent resonance. The displacement of the parts of the elevator rope at both the ends is small compared to that of the center part of the rope; therefore, it is not necessary to position the vibration suppressors in the parts on either ends. The elevator rope is generally modeled using a string, and linear string vibration is well researched. However, the vibration of the string equipped with vibration suppressors encounters geometric nonlinearity, and hence, its characteristics have been studied under a few conditions. Furthermore, in the case in which the vibration suppressor is located in the center part of the string, no exact solution has yet been obtained for the free vibration of the string. In this paper, an exact solution is presented for the free vibration of a string when the vibration suppressors are located in the center part of the string. In the analysis for determining the exact solution, the problem of free vibration with vibration suppressors is transposed to a problem of forced vibration. Further, to verify the validity of the exact solution, a finite difference analysis of the string vibration with vibration suppressors is performed. The calculated results obtained from the finite difference analysis are in good agreement with the results of the exact solution.Hiroyuki KIMURATakahiro FUJITANIThe Japan Society of Mechanical Engineersarticleelevatorvibration suppressorfree vibrationstringexact solutionrope swayMechanical engineering and machineryTJ1-1570ENMechanical Engineering Journal, Vol 3, Iss 6, Pp 16-00426-16-00426 (2016)
institution	DOAJ
collection	DOAJ
language	EN
topic	elevator vibration suppressor free vibration string exact solution rope sway Mechanical engineering and machinery TJ1-1570
spellingShingle	elevator vibration suppressor free vibration string exact solution rope sway Mechanical engineering and machinery TJ1-1570 Hiroyuki KIMURA Takahiro FUJITANI Free vibration analysis of string with vibration suppressors located in center part of string
description	Vibration suppressors are used to change the natural frequency of an elevator rope and prevent resonance. The displacement of the parts of the elevator rope at both the ends is small compared to that of the center part of the rope; therefore, it is not necessary to position the vibration suppressors in the parts on either ends. The elevator rope is generally modeled using a string, and linear string vibration is well researched. However, the vibration of the string equipped with vibration suppressors encounters geometric nonlinearity, and hence, its characteristics have been studied under a few conditions. Furthermore, in the case in which the vibration suppressor is located in the center part of the string, no exact solution has yet been obtained for the free vibration of the string. In this paper, an exact solution is presented for the free vibration of a string when the vibration suppressors are located in the center part of the string. In the analysis for determining the exact solution, the problem of free vibration with vibration suppressors is transposed to a problem of forced vibration. Further, to verify the validity of the exact solution, a finite difference analysis of the string vibration with vibration suppressors is performed. The calculated results obtained from the finite difference analysis are in good agreement with the results of the exact solution.
format	article
author	Hiroyuki KIMURA Takahiro FUJITANI
author_facet	Hiroyuki KIMURA Takahiro FUJITANI
author_sort	Hiroyuki KIMURA
title	Free vibration analysis of string with vibration suppressors located in center part of string
title_short	Free vibration analysis of string with vibration suppressors located in center part of string
title_full	Free vibration analysis of string with vibration suppressors located in center part of string
title_fullStr	Free vibration analysis of string with vibration suppressors located in center part of string
title_full_unstemmed	Free vibration analysis of string with vibration suppressors located in center part of string
title_sort	free vibration analysis of string with vibration suppressors located in center part of string
publisher	The Japan Society of Mechanical Engineers
publishDate	2016
url	https://doaj.org/article/76c644ed8a89424f8d3394bdde6c4a2f
work_keys_str_mv	AT hiroyukikimura freevibrationanalysisofstringwithvibrationsuppressorslocatedincenterpartofstring AT takahirofujitani freevibrationanalysisofstringwithvibrationsuppressorslocatedincenterpartofstring
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Free vibration analysis of string with vibration suppressors located in center part of string

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