Tuned mass dampers (TMDs) are vibration absorber devices that are used in all mechanical systems to reduce structural vibrations. In the present study, an investigation of the effect of inherent damping of the superstructure is employed with a TMD. The analysis is done for different mass ratios of TMD and superstructure. The TMD parameters such as frequency and damping ratio are optimized via a metaheuristic method called flower pollination algorithm to reduce a frequency domain response. Due to taking the frequency domain as an objective, the investigation covers all types of systems (civil structures or machine parts) and excitation (wind, disturbance, earthquake, etc.).

Topics
Structural vibrations, Oscillators, Vibration analysis, Algorithms and data structure, Earthquakes
1.
H.
Frahm
,
Device for damping of bodies.
U.S. Patent No: 989,958,
1911
.
2.
J.
Ormondroyd
,
J.P.
Den Hartog
,
The theory of dynamic vibration absorber
,
T. ASME
,
50
,
9
–
22
(
1928
).
Google Scholar
 
3.
J. P.
Den Hartog
,
Mechanical Vibrations
,
third ed.
,
Mc Graw-Hill
,
New York
,
1947
.
Google Scholar
 
4.
G. B.
Warburton
,
Optimum absorber parameters for various combinations of response and excitation parameters
,
Earthq. Eng. Struct. D.
10
,
381
–
401
(
1982
).
https://doi.org/10.1002/eqe.4290100304
Google Scholar
Crossref
Search ADS
 
5.
F.
Sadek
,
B.
Mohraz
,
A.W.
Taylor
,
R.M.
Chung
,
A method of estimating the parameters of tuned mass dampers for seismic applications
,
Earthq. Eng. Struct. D.
26
,
617
–
635
(
1997
).
https://doi.org/10.1002/(SICI)1096-9845(199706)26:6<617::AID-EQE664>3.0.CO;2-Z
Google Scholar
Crossref
Search ADS
 
6.
M. N. S.
Hadi
,
Y.
Arfiadi
,
Optimum design of absorber for MDOF structures
,
Journal of Structural Engineering-ASCE
,
124
,
1272
–
1280
(
1998
).
https://doi.org/10.1061/(ASCE)0733-9445(1998)124:11(1272)
Google Scholar
Crossref
Search ADS
 
7.
M.P.
Singh
,
S.
Singh
 and
L.M.
Moreschi
,
Tuned mass dampers for response control of torsional buildings
,
Earthquake Engineering and Structural Dynamics
,
31
,
749
–
769
(
2002
).
https://doi.org/10.1002/eqe.119
Google Scholar
Crossref
Search ADS
 
8.
G.C.
Marano
,
R.
Greco
 and
B.
Chiaia
,
A comparison between different optimization criteria for tuned mass dampers design
,
Journal of Sound and Vibration
,
329
,
4880
–
4890
(
2010
).
https://doi.org/10.1016/j.jsv.2010.05.015
Google Scholar
Crossref
Search ADS
 
9.
A.Y.T.
Leung
,
H.
Zhang
,
C.C.
Cheng
 and
Y.Y.
Lee
,
Particle swarm optimization of TMD by non-stationary base excitation during earthquake
,
Earthquake Engineering and Structural Dynamics
,
37
,
1223
–
1246
(
2008
).
Google Scholar
Crossref
Search ADS
 
10.
A.Y.T.
Leung
 and
H.
Zhang
,
Particle swarm optimization of tuned mass dampers
,
Engineering Structures
,
31
,
715
–
728
(
2009
).
https://doi.org/10.1016/j.engstruct.2008.11.017
Google Scholar
Crossref
Search ADS
 
11.
G.
Bekdaş
 and
S.M
Nigdeli
,
Estimating Optimum Parameters of Tuned Mass Dampers Using Harmony Search
,
Engineering Structures
,
33
,
2716
–
2723
,
2011
.
https://doi.org/10.1016/j.engstruct.2011.05.024
Google Scholar
Crossref
Search ADS
 
12.
S.M.
Nigdeli
 and
G.
Bekdaş
,
Optimum Tuned Mass Damper Design for Preventing Brittle Fracture of RC Buildings
,
Smart Structures and Systems
,
11
(
2013
).
13.
Bekdaş
,
G.
,
Nigdeli
,
S. M.
, &
Yang
,
X. S.
 (
2018
).
A novel bat algorithm based optimum tuning of mass dampers for improving the seismic safety of structures
.
Engineering Structures
,
159
,
89
–
98
.
https://doi.org/10.1016/j.engstruct.2017.12.037
Google Scholar
Crossref
Search ADS
 
14.
Kayabekir
,
A. E.
,
Bekdaş
,
G.
,
Nigdeli
,
S. M.
, &
Geem
,
Z. W.
 (
2020
).
Optimum design of PID controlled active tuned mass damper via modified harmony search
.
Applied Sciences
,
10
(
8
),
2976
.
https://doi.org/10.3390/app10082976
Google Scholar
Crossref
Search ADS
 
15.
Kayabekir
,
A. E.
,
Nigdeli
,
S. M.
, &
Bekdaş
,
G.
 (
2020
, April). Robustness of Structures with Active Tuned Mass Dampers Optimized via Modified Harmony Search for Time Delay. In
International Conference on Harmony Search Algorithm
(pp.
53
–
60
).
Springer
,
Singapore
.
Google Scholar
 
16.
Ulusoy
,
S.
,
Kayabekir
,
A. E.
,
Nigdeli
,
S. M.
, &
Bekdaş
,
G.
 (
2021
). Metaheuristic-Based Structural Control Methods and Comparison of Applications. In
Nature-Inspired Metaheuristic Algorithms for Engineering Optimization Applications
(pp.
251
–
276
).
Springer
,
Singapore
.
Google Scholar
Crossref
Search ADS
 
17.
S.M.
Nigdeli
,
G.
Bekdaş
,
Optimum tuned mass damper design in frequency domain for structures
.
KSCE Journal of Civil Engineering
, Doi:
https://doi.org/10.1007/s12205-016-0829-2
,
1
–
11
(
2016
).
Google Scholar
 
18.
Nigdeli
,
S. M.
,
Bekdaş
,
G.
, &
Sayin
,
B.
 (
2017
, July).
Optimum tuned mass damper design using harmony search with comparison of classical methods
. In
AIP Conference Proceedings
(Vol.
1863
, No.
1
, p.
540004
). AIP Publishing LLC.
https://doi.org/10.1063/1.4992681
Google Scholar
Crossref
Search ADS
 
19.
Bekdaş
,
G.
,
Kayabekir
,
A. E.
,
Nigdeli
,
S. M.
, &
Toklu
,
Y. C.
 (
2019
).
Tranfer function amplitude minimization for structures with tuned mass dampers considering soil-structure interaction
.
Soil Dynamics and Earthquake Engineering
,
116
,
552
–
562
.
https://doi.org/10.1016/j.soildyn.2018.10.035
Google Scholar
Crossref
Search ADS
 
20.
Yang
,
X. S.
 (
2012
, September). Flower pollination algorithm for global optimization. In
International conference on unconventional computing and natural computation
(pp.
240
–
249
).
Springer
,
Berlin, Heidelberg
.
https://doi.org/10.1007/978-3-642-32894-7_27
Google Scholar
Crossref
Search ADS
 
This content is only available via PDF.
©2023 Authors. Published by AIP Publishing.
2023
Author(s)
You do not currently have access to this content.