Wind-induced vibration absorption using inerter-based double tuned mass dampers on slender structures

Abstract

Controlling wind-induced responses is important for structural safety, especially for slender structures. Tuned mass damper (TMD) has been widely applied and shown the effectiveness in controlling vibration responses. Currently, inerter-based tuned mass systems have been proposed and shown excellent control performance, and the tuning mass can be reduced compared to TMD. However, the control performance depends on more parameters. The optimal design of these systems is a challenging task. In this paper, inerter-based double tuned mass dampers (IDTMDs) with three typical configurations are investigated. Firstly, frequency response functions are derived from mechanical impedance. Subsequently, the H∞ and H2 optimization results are obtained numerically and the corresponding empirical formulas are proposed. Next, the control performance of the wind-induced response is obtained by considering the spectral characteristics of along- and cross-wind loads. In order to quantitatively evaluate the weight reduction using IDTMDs, the control ratios are formulated and compared. Finally, the wind-induced vibration control of IDTMDs on a slender chimney and a tall building is investigated to validate the proposed empirical formulas. In addition, the control performance and weight reduction are discussed. Compared to TMD with similar control performance, IDTMD can reduce the tuning mass by 24%. The wind load of the chimney under vortex-induced resonance is reduced by 60%, and the peak value of total wind-induced acceleration is reduced by 30%, which is 26.2% better than TMD with a same mass ratio. A lightweight design with excellent wind-induced vibration control performance can be achieved by IDTMD.