Free vibration analysis of a string with vibration suppressor located at center of the string (When there is a gap between string and vibration suppressor)

When an elevator rope for a high-rise building is forcibly excited by the displacements of the building induced by wind forces and/or by long-period ground motion, rope displacement becomes large even if the ground acceleration and the buildings acceleration are small. In previous paper, when elevat...

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Main Author: Hiroyuki KIMURA
Format: Article
Language:Japanese
Published: The Japan Society of Mechanical Engineers 2016-01-01
Series:Nihon Kikai Gakkai ronbunshu
Subjects:
Online Access:https://www.jstage.jst.go.jp/article/transjsme/82/837/82_15-00535/_pdf/-char/en
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author Hiroyuki KIMURA
author_facet Hiroyuki KIMURA
author_sort Hiroyuki KIMURA
collection DOAJ
description When an elevator rope for a high-rise building is forcibly excited by the displacements of the building induced by wind forces and/or by long-period ground motion, rope displacement becomes large even if the ground acceleration and the buildings acceleration are small. In previous paper, when elevator cage is stationary, a new practical method for reducing the rope vibration by using vibration suppressors is proposed for relaxing the restricted elevator operation. The advantage of using the vibration suppressors for reducing the rope lateral vibration is demonstrated through numerical calculation. Further, when arbitrary position of the rope is pulled, exact solution to the free vibration of the rope with vibration suppressor, which located at the center of the rope and the gap between rope and vibration suppressor is 0, has been presented. However, in the case where the position of vibration suppressor is center of the rope and the gap between rope and vibration suppressor is not 0, no exact solution to the free vibration has yet been obtained. In this paper, an exact solution to the free vibration of this case is presented. In the analysis, the rope is modeled with string. Finite difference analyses of the rope vibration with vibration suppressor are also performed to verify the validity of this exact solution. The calculated results of the finite difference analyses are in fairly good agreement with those of the exact solution.
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spelling doaj.art-29012cf536404c9fa0b268642da2f6222022-12-22T03:41:30ZjpnThe Japan Society of Mechanical EngineersNihon Kikai Gakkai ronbunshu2187-97612016-01-018283715-0053515-0053510.1299/transjsme.15-00535transjsmeFree vibration analysis of a string with vibration suppressor located at center of the string (When there is a gap between string and vibration suppressor)Hiroyuki KIMURA0Graduate School of Science and Engineering for Research (Engineering), Toyama UniversityWhen an elevator rope for a high-rise building is forcibly excited by the displacements of the building induced by wind forces and/or by long-period ground motion, rope displacement becomes large even if the ground acceleration and the buildings acceleration are small. In previous paper, when elevator cage is stationary, a new practical method for reducing the rope vibration by using vibration suppressors is proposed for relaxing the restricted elevator operation. The advantage of using the vibration suppressors for reducing the rope lateral vibration is demonstrated through numerical calculation. Further, when arbitrary position of the rope is pulled, exact solution to the free vibration of the rope with vibration suppressor, which located at the center of the rope and the gap between rope and vibration suppressor is 0, has been presented. However, in the case where the position of vibration suppressor is center of the rope and the gap between rope and vibration suppressor is not 0, no exact solution to the free vibration has yet been obtained. In this paper, an exact solution to the free vibration of this case is presented. In the analysis, the rope is modeled with string. Finite difference analyses of the rope vibration with vibration suppressor are also performed to verify the validity of this exact solution. The calculated results of the finite difference analyses are in fairly good agreement with those of the exact solution.https://www.jstage.jst.go.jp/article/transjsme/82/837/82_15-00535/_pdf/-char/enelevatorvibration suppressorfree vibrationstringexact solutionrope sway
spellingShingle Hiroyuki KIMURA
Free vibration analysis of a string with vibration suppressor located at center of the string (When there is a gap between string and vibration suppressor)
Nihon Kikai Gakkai ronbunshu
elevator
vibration suppressor
free vibration
string
exact solution
rope sway
title Free vibration analysis of a string with vibration suppressor located at center of the string (When there is a gap between string and vibration suppressor)
title_full Free vibration analysis of a string with vibration suppressor located at center of the string (When there is a gap between string and vibration suppressor)
title_fullStr Free vibration analysis of a string with vibration suppressor located at center of the string (When there is a gap between string and vibration suppressor)
title_full_unstemmed Free vibration analysis of a string with vibration suppressor located at center of the string (When there is a gap between string and vibration suppressor)
title_short Free vibration analysis of a string with vibration suppressor located at center of the string (When there is a gap between string and vibration suppressor)
title_sort free vibration analysis of a string with vibration suppressor located at center of the string when there is a gap between string and vibration suppressor
topic elevator
vibration suppressor
free vibration
string
exact solution
rope sway
url https://www.jstage.jst.go.jp/article/transjsme/82/837/82_15-00535/_pdf/-char/en
work_keys_str_mv AT hiroyukikimura freevibrationanalysisofastringwithvibrationsuppressorlocatedatcenterofthestringwhenthereisagapbetweenstringandvibrationsuppressor