Analysis of the behavior of a tuned mass damper, considering uncertainty in the system parameters for low frequency content stochastic seismic excitations
DOI:
https://doi.org/10.21703/0718-2813.2024.36.3004Keywords:
Tuned mass damper, Parameter uncertainty, Stochastic analysis, Low frequency content excitationAbstract
The influence on the behavior of a system of one degree of freedom controlled by a tuned mass damper (AMS) is studied, when uncertainties of 5, 10 and 20% are included in the mass ratio of the AMS, which is defined as the ratio between the mass of the AMS with respect to the mass of the main structure and the uncoupled translational period of the structure, in the positive and negative sense. A stochastic analysis is carried out, and a low frequency content excitation is considered. The uncertainty is entered into the mathematical modelling as a Taylor series expansion that considers only the firstorder approximation. Mass ratios are considered, from 0.02 to 0.05, the periods of the structure cover a range from 1.5 to 2.0 s. The results show that the inclusion of uncertainty in the period of the structure influences on the values of the optimal parameters and on the efficiency of the AMS. The latter is reduced or increased if the period is greater or less than the predominant period of excitation.
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