Stochastic Optimal Design of Tuned Mass Damper Parameters Using Energetic Approaches

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 probabilityis 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 Bi-tuned mass dampers (Bi-TMDs). The results showed that the TMD optimized using the proposed strategy is more effective than the Bi-TMDs.