Optimal design of a simplified tuned tandem mass damper for wind-induced vibration control of tall buildings

Wind loads, especially across-winds attributed to vortex shedding effects, could trigger excessive vibration of flexible tall buildings. In the present study, a simplified tuned tandem mass damper (TTMDs) is introduced to mitigate wind-induced vibration of high-rise buildings. A set of ready-to-use design formulae for parameters of TTMDs considering the inherent damping of the structure is provided by adopting the extended fixed point method along with numerical search. Based on the 76-story benchmark building, numerical optimization on parameters of TTMDs, original TTMD (TTMDo), tuned mass damper (TMD), tuned mass damper-inerter (TMDI), multiple tuned mass damper (MTMD), and double tuned mass damper (DTMD) are performed for minimizing the H infinity-norm of displacement frequency response function HD(w)76,76 infinity and the standard deviation (STD) of the displacement responses on the 76th floor 6x76. The optimization results based on the damped multi-degree-offreedom model validate the analytical design formulae. Having the same mass ratio mu tot, TTMDs exhibits no worse control performance than TTMDo with mu tot >= 0.35 %, TMD at all mu tot, TMDI spanning 2 floors with mu tot >= 0.20 %, TMDI spanning 4 floors with mu tot >= 0.50 %, MTMD with mu tot >= 0.35 %, and DTMD at all mu tot on the both objectives. With an increasing mu tot from 0.05 % to 2.00 %, the reduction ratios achieved by TTMDs on HD(w)76,76 infinity, 6x76, and STD of acceleration responses on the top floor increase monotonically within [65.6 %, 92.4 %], [36.1 %, 47.7 %], and [46.5 %, 68.3 %], respectively. Practicality analysis shows that, on average, the strokes of TTMDs are 1.38, 0.82, and 0.37 times those of TMD, MTMD, and DTMD having the same device mass, respectively. Generally, the simple mechanical layout, desirable control performance, and moderate strokes make TTMDs a cost-effective choice for vortex-induced vibration control of high-rise buildings.