Civil Engineering and Architecture Vol. 10(1), pp. 236 - 245
DOI: 10.13189/cea.2022.100120
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Pareto Optimal Design of the Tuned Mass Damper


Ahmed Abed *, Om El Khaiat Moustachi
Mohammadia School of Engineering, University Mohammed V in Rabat, Morocco

ABSTRACT

Strong vibrations due to wind induced loads and earthquakes have undesirable effects on tall buildings and long-span bridges, and can cause discomfort, dizziness and anxiety for their occupants and users. The Single Tuned Mass Damper (STMD) is vibration control device used to mitigate strong motion. This study investigated the STMD from the perspective of multi-objective optimization. The main goal was to identify and characterize the Pareto set of optimal STMD parameters in terms of damping and stiffness. The optimization was performed using a multi-objective optimization algorithm based on gradient descent and successive bisecting of the search domain. and norms of the transfer matrices for structural displacement and acceleration were considered as design objectives. We found that for peak response reduction, irrespective of the excitation type, structural damping and STMD mass ratio, the Pareto set was linear and extended mainly in the direction of frequency ratio, while the damping ratio varied marginally within the set. For RMS displacement and peak acceleration minimization, the Pareto set was composed of two segments. Additionally, in all instances, the Pareto set was found to be bounded by the single-objective optimal STMDs for the considered design objectives. The implications of the findings were discussed and approximations of the Pareto optimal STMD were suggested.

KEYWORDS
Pareto Optimal, Tuned Mass Damper, Multi-objective, Vibration, Control, Optimization

Cite This Paper in IEEE or APA Citation Styles
(a). IEEE Format:
[1] Ahmed Abed , Om El Khaiat Moustachi , "Pareto Optimal Design of the Tuned Mass Damper," Civil Engineering and Architecture, Vol. 10, No. 1, pp. 236 - 245, 2022. DOI: 10.13189/cea.2022.100120.

(b). APA Format:
Ahmed Abed , Om El Khaiat Moustachi (2022). Pareto Optimal Design of the Tuned Mass Damper. Civil Engineering and Architecture, 10(1), 236 - 245. DOI: 10.13189/cea.2022.100120.