THE WIND-INDUCED VIBRATION CONTROL OF HIGH-RISE CHIMNEYS BY A TUNED MASS DAMPER INERTER (TMDI)

The high-rise chimney is a typical wind-sensitive structure. The crosswind vortex-induced resonance will have an adverse impact on the structural safety. Compared with traditional tuned mass dampers (TMDs), the tuned mass damper inerter (TMDI) can realize the lightweight design of the dynamic vibration absorber via the massless inerter. However, the location of the inerter affects not only its implementation on the high-rise chimney structure, but also the vibration control performance, which requires detailed quantitative studies. A high-rise chimney is simplified as a generalized single degree of freedom structure. Based on the analog filter representation of wind load spectra, the analytical solution of wind-induced response of the structure under TMDI control is derived. Subsequently, a parametric analysis of TMDI optimal design parameters is performed. Corresponding empirical formulas are summarized for design reference. In addition, by comparing the control effect of TMDI and TMD, the criterion of enhancing the control effect of inerter and the formula of equivalent TMD mass ratio of the TMDI are given to guide the lightweight design of the dynamic vibration absorbers. Finally, the effectiveness of the theoretical analysis is validated by a numerical TMDI control example based on the wind tunnel test data of a concrete chimney of 270 m tall. The results show that TMDI can reduce the design wind load of high-rise chimney by more than 45% in the vortex induced resonance lock-in region.