A unified dynamic absorber design for suppression of tall building vibration

The objective of this paper is to establish some unified design formulas for various kinds of passive dynamic absorbers (TMD, TLCD, LCVA, C-TLD, and R-TLD) for wind-induced vibration control of tall buildings. Firstly, unified equations of motion for the building-absorber system under wind-induced excitation are presented. A set of unified formulas for the optimal properties and the equivalent damping ratios for these five dynamic absorbers are then derived analytically. The Shanghai Central Plaza, which is a 39 story reinforced-concrete building, is used as an example to demonstrate the unified approach. The results show that these unified formulas provide direct performance evaluation and comparison among these five dynamic absorbers for the control of wind-induced vibration of tall buildings.