Stochastic optimal design of tuned mass damper parameters using energetic approaches

Abstract

The present work is intended to introduce a new reliability based optimization strategy (RBO) of single-tuned mass damper (TMD) parameters. The strategy uses an energetic approach and consists to obtain the optimum TMD parameters so that a failure probability is minimized. The failure probability is related to the dissipated power process in the primary structure (DPP) and it's characterized by the out-crossing, for the first time, of the DPP across a certain threshold value during a time interval. The introduced RBO strategy is then compared with another related to the mean value of the DPP. The obtained results show a strong correlation between the presented strategies and equivalence can be made. The effectiveness of the TMD with the proposed optimum parameters is also investigated and compared with Bituned mass dampers (Bi-TMDs). The results showed that the TMD optimized using the proposed strategy is more effective than the Bi-TMDs.