Optimisation Design and Damping Effect Analysis of Large Mass Ratio Tuned Mass Dampers

Under harmonic load and random stationary white noise load, the existing fitting formulas are not suitable for calculating the optimal parameters of large mass ratio tuned mass dampers (TMDs). For this reason, the optimal parameters of large mass ratio TMDs are determined by numerical optimisation m...

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Main Authors: Ying-jie Kang, Ling-yun Peng
Format: Article
Language:English
Published: Wiley 2019-01-01
Series:Shock and Vibration
Online Access:http://dx.doi.org/10.1155/2019/8376781
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author Ying-jie Kang
Ling-yun Peng
author_facet Ying-jie Kang
Ling-yun Peng
author_sort Ying-jie Kang
collection DOAJ
description Under harmonic load and random stationary white noise load, the existing fitting formulas are not suitable for calculating the optimal parameters of large mass ratio tuned mass dampers (TMDs). For this reason, the optimal parameters of large mass ratio TMDs are determined by numerical optimisation methods, and a revised fitting formula is proposed herein based on a curve fitting technique. Finally, the dynamic time history analysis method is used to study the control effect of large mass ratio TMDs. The results show that when the mass ratio is large, the error between the existing fitting formula and the actual optimal value is quite large, and the revised fitting formula is applicable to the parameter design of the traditional small mass ratio and large mass ratio (≤1) TMDs. When the ratio of local base soil predominant frequency to structure vibration frequency is greater than 4, the optimal parameters of a TMD under white noise excitation can be calculated according to the revised fitting formula, and the remaining conditions should be determined by numerical optimisation. In addition, a large mass ratio TMD reduces the dynamic response of the main structure effectively compared with a small mass ratio TMD and reduces the relative displacement between the TMD and main structure.
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language English
publishDate 2019-01-01
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spelling doaj-art-a4fec71185e1438a9f75b37f6abef7592025-02-03T01:12:40ZengWileyShock and Vibration1070-96221875-92032019-01-01201910.1155/2019/83767818376781Optimisation Design and Damping Effect Analysis of Large Mass Ratio Tuned Mass DampersYing-jie Kang0Ling-yun Peng1Beijing Key Laboratory of Earthquake Engineering and Structural Retrofit, Beijing University of Technology, Beijing 100124, ChinaBeijing Key Laboratory of Earthquake Engineering and Structural Retrofit, Beijing University of Technology, Beijing 100124, ChinaUnder harmonic load and random stationary white noise load, the existing fitting formulas are not suitable for calculating the optimal parameters of large mass ratio tuned mass dampers (TMDs). For this reason, the optimal parameters of large mass ratio TMDs are determined by numerical optimisation methods, and a revised fitting formula is proposed herein based on a curve fitting technique. Finally, the dynamic time history analysis method is used to study the control effect of large mass ratio TMDs. The results show that when the mass ratio is large, the error between the existing fitting formula and the actual optimal value is quite large, and the revised fitting formula is applicable to the parameter design of the traditional small mass ratio and large mass ratio (≤1) TMDs. When the ratio of local base soil predominant frequency to structure vibration frequency is greater than 4, the optimal parameters of a TMD under white noise excitation can be calculated according to the revised fitting formula, and the remaining conditions should be determined by numerical optimisation. In addition, a large mass ratio TMD reduces the dynamic response of the main structure effectively compared with a small mass ratio TMD and reduces the relative displacement between the TMD and main structure.http://dx.doi.org/10.1155/2019/8376781
spellingShingle Ying-jie Kang
Ling-yun Peng
Optimisation Design and Damping Effect Analysis of Large Mass Ratio Tuned Mass Dampers
Shock and Vibration
title Optimisation Design and Damping Effect Analysis of Large Mass Ratio Tuned Mass Dampers
title_full Optimisation Design and Damping Effect Analysis of Large Mass Ratio Tuned Mass Dampers
title_fullStr Optimisation Design and Damping Effect Analysis of Large Mass Ratio Tuned Mass Dampers
title_full_unstemmed Optimisation Design and Damping Effect Analysis of Large Mass Ratio Tuned Mass Dampers
title_short Optimisation Design and Damping Effect Analysis of Large Mass Ratio Tuned Mass Dampers
title_sort optimisation design and damping effect analysis of large mass ratio tuned mass dampers
url http://dx.doi.org/10.1155/2019/8376781
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AT lingyunpeng optimisationdesignanddampingeffectanalysisoflargemassratiotunedmassdampers