Optimum Design of PID Controlled Active Tuned Mass Damper via Modified Harmony Search

In this study, the music-inspired Harmony Search (HS) algorithm is modified for the optimization of active tuned mass dampers (ATMDs). The modification of HS includes the consideration of the best solution with a defined probability and updating of algorithm parameters such as harmony memory, consid...

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Main Authors: Aylin Ece Kayabekir, Gebrail Bekdaş, Sinan Melih Nigdeli, Zong Woo Geem
Format: Article
Language:English
Published: MDPI AG 2020-04-01
Series:Applied Sciences
Subjects:
PID
Online Access:https://www.mdpi.com/2076-3417/10/8/2976
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spelling doaj-919b752848f247948c9841aeeb6c8a0b2020-11-25T02:59:49ZengMDPI AGApplied Sciences2076-34172020-04-01102976297610.3390/app10082976Optimum Design of PID Controlled Active Tuned Mass Damper via Modified Harmony SearchAylin Ece Kayabekir0Gebrail Bekdaş1Sinan Melih Nigdeli2Zong Woo Geem3Department of Civil Engineering, Istanbul University – Cerrahpaşa, 34310 Istanbul, TurkeyDepartment of Civil Engineering, Istanbul University – Cerrahpaşa, 34310 Istanbul, TurkeyDepartment of Civil Engineering, Istanbul University – Cerrahpaşa, 34310 Istanbul, TurkeyCollege of IT Convergence, Gachon University, Seongnam 13120, KoreaIn this study, the music-inspired Harmony Search (HS) algorithm is modified for the optimization of active tuned mass dampers (ATMDs). The modification of HS includes the consideration of the best solution with a defined probability and updating of algorithm parameters such as harmony memory, considering rate and pitch adjusting rate. The design variables include all the mechanical properties of ATMD, such as the mass, stiffness and damping coefficient, and the active controller parameters of the proposed proportional–integral–derivative (PID) type controllers. In the optimization process, the analysis of an ATMD implemented structure is done using the generated Matlab Simulink block diagram. The PID controllers were optimized for velocity feedback control, and the objective of the optimization is the minimization of the top story displacement by using the limitation of the stroke capacity of ATMD. The optimum results are presented for different cases of the stroke capacity limit of ATMD. According to the results, the method is effective in reducing the maximum displacement of the structure by 53.71%, while a passive TMD can only reduce it by 31.22%.https://www.mdpi.com/2076-3417/10/8/2976active tuned mass dampersharmony searchPIDstructural controloptimization
collection DOAJ
language English
format Article
sources DOAJ
author Aylin Ece Kayabekir
Gebrail Bekdaş
Sinan Melih Nigdeli
Zong Woo Geem
spellingShingle Aylin Ece Kayabekir
Gebrail Bekdaş
Sinan Melih Nigdeli
Zong Woo Geem
Optimum Design of PID Controlled Active Tuned Mass Damper via Modified Harmony Search
Applied Sciences
active tuned mass dampers
harmony search
PID
structural control
optimization
author_facet Aylin Ece Kayabekir
Gebrail Bekdaş
Sinan Melih Nigdeli
Zong Woo Geem
author_sort Aylin Ece Kayabekir
title Optimum Design of PID Controlled Active Tuned Mass Damper via Modified Harmony Search
title_short Optimum Design of PID Controlled Active Tuned Mass Damper via Modified Harmony Search
title_full Optimum Design of PID Controlled Active Tuned Mass Damper via Modified Harmony Search
title_fullStr Optimum Design of PID Controlled Active Tuned Mass Damper via Modified Harmony Search
title_full_unstemmed Optimum Design of PID Controlled Active Tuned Mass Damper via Modified Harmony Search
title_sort optimum design of pid controlled active tuned mass damper via modified harmony search
publisher MDPI AG
series Applied Sciences
issn 2076-3417
publishDate 2020-04-01
description In this study, the music-inspired Harmony Search (HS) algorithm is modified for the optimization of active tuned mass dampers (ATMDs). The modification of HS includes the consideration of the best solution with a defined probability and updating of algorithm parameters such as harmony memory, considering rate and pitch adjusting rate. The design variables include all the mechanical properties of ATMD, such as the mass, stiffness and damping coefficient, and the active controller parameters of the proposed proportional–integral–derivative (PID) type controllers. In the optimization process, the analysis of an ATMD implemented structure is done using the generated Matlab Simulink block diagram. The PID controllers were optimized for velocity feedback control, and the objective of the optimization is the minimization of the top story displacement by using the limitation of the stroke capacity of ATMD. The optimum results are presented for different cases of the stroke capacity limit of ATMD. According to the results, the method is effective in reducing the maximum displacement of the structure by 53.71%, while a passive TMD can only reduce it by 31.22%.
topic active tuned mass dampers
harmony search
PID
structural control
optimization
url https://www.mdpi.com/2076-3417/10/8/2976
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