Analysis of the behaviour of a tuned mass damper considering uncertainty in the system parameters for high frequency content seismic excitations
DOI:
https://doi.org/10.21703/0718-2813.2024.36.3000Keywords:
Tuned mass damper, Parameter uncertainty, Stochastic analysis, High frequency content excitationAbstract
The behaviour of a tuned mass damper is investigated when controlling a one degree of freedom system, when uncertainties of 5, 10 and 20% are included in the mass ratio of the AMS and the uncoupled translational period of the structure, in positive and negative sense with respect to the case of uncertainty. The excitation and analysis are of a stochastic type, and of high frequency content. To include uncertainty, a Taylor series expansion is used that considers only the first-order approximation. The range of mass ratios of the AMS ranges 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 mass ratio and the period of the structure shows an influence on the values of the optimal parameters and on the efficiency of the AMS in reducing the standard deviation of displacement of the structure. Including uncertainty in the structure period shows the largest variations in optimal parameters and reductions. Uncertainties in system parameters have a notable influence and cannot be ignored. In general, the advantage of AMS tends to reduce or increase as the level of uncertainty increases in the positive or negative direction.
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