Optimal parameters of tuned mass damper for the reduction of wind-induced vibration of high-rise buildings

At present, the use of a tuned mass damper (TMD) to control structural dynamic response under wind or earthquake excitations has become a common method for many high-rise structures. In previous studies, the amplitude of structural dynamic response which is usually viewed as a stochastic process is rarely used as a parameter to evaluate the vibration mitigation performance of a TMD system. In this paper, the motion equations of the structures controlled by a TMD system under wind excitation are established first. Then, the vibration mitigation performance of the TMD system under wind load is analyzed from the point of view of the reduction of the amplitude of response stochastic processes, during the analysis the influence of mass ratio is also taken into account. Finally, the vibration reduction coefficients are obtained as a function of frequency ratio and damping ratio, and the optimal frequency ratio and damping ratio of TMD system can be determined for which the minimum vibration reduction coefficient is achieved. The analysis results show that compared with the uncontrolled structure, the optimization method based on vibration reduction coefficient greatly reduces the amplitude of structure response under wind load and has certain adaptability and reliability.