Validation by Montecarlo simulation of the efficiency of an optimally tuned liquid column damper for excitations with high frequency content
DOI:
https://doi.org/10.21703/0718-2813.2023.34.2446Keywords:
tuned liquid column damper, non-linear behaviour, Montecarlo simulations, stochastic analysisAbstract
In this research the efficiency of the Tuned Liquid Column Damper (TLCD) calculated through stochastic
vibration theory is analysed. Three optimization functionalities or criteria are considered. The model consists of a one degree of freedom main system, with nonlinear behaviour, controlled by non-linear TLCD. The stochastic analysis assumes a steady-state and performs an equivalent statistical linearization for nonlinear behaviour, with which theoretical displacement and hysteretic energy reductions are obtained. Then, these theoretical reductions are compared with the reductions obtained with a Monte Carlo Simulation (MCS) of 200, 450, 800, 1250, 1850, 2600 simulations. For the simulation, nonlinear equations are proposed, which are directly integrated without linearization. The simulations are performed with artificial earthquakes of high-frequency content, compatible with the Chilean standard NCh2745 (2013). The results obtained through the MCS are sensitive to the number of simulations considered. However, a convergence occurs for two criteria. Errors are less than 10%, which is considered acceptable. The reductions obtained for hysteretic energy from a theoretical analysis overestimate the efficiency of TLCD, for a criterion with a period of 2.0s, and for all criteria with a period of 2.5 s.
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