Improved model for parametric optimization of tuned mass damper-inerter for wind-induced vibration control of high-rise building

Abstract

When analyzing the wind-induced response of multi-degree-of-freedom (MDOF) structures controlled by a tuned mass damper-inerter (TMDI), a generalized single-degree-of-freedom (GSDOF) model, which represents the first-order mode is used to simplify the calculation. However, neglecting the contributions of higher modes may lead to considerable errors during the evaluation and performance of the controlling effect of TMDI, respectively, which is a threat to structural safety and functionality. Herein, an improved simplified model is derived to consider higher modes and preserve the calculation efficiency of GSDOF by introducing entries into the frequency response function (FRF) of the GSDOF model, which represents higher mode contributions weighted using equivalent coefficients. The analytical solutions of the coefficients are further derived using customized maximum tolerable errors on an H2 and H∞ norm of the FRF within the concerned frequency interval. Using a real high-rise building, the accuracy and computational efficiency of the previous simplified and improved models are quantified using different TMDI parameter combinations. The multi-objective parametric optimization of the TMDI is performed to identify a set of Pareto-optimal TMDIs, and the control performances of the representative TMDIs is designed based on both assessed models. The results show that the changes in inertance and frequency ratios greatly influence the accuracy of both simplified models. Compared with the precise and previous simplified models, the improved model presented in this study not only guarantees the accurate calculation of the standard deviation of the structural responses but also maintains the calculation efficiency.