A Comparison between Two Reliability Based Optimization Strategies of Tuned Mass Damper Parameters under Stochastic Loading

In this work two reliability based optimization (RBO) strategies of Tuned Mass Damper (TMD) parameters are presented and compared. The TMD device is attached on a primary structure modeled by a generic one degree of freedom system. The first strategy is based on the displacement response of a primary structure whereas the second one is based on a new approach related to the dissipated power (DPO). Analytic expressions of the failure probabilities are given based on the Rice’s formula. The obtained results proved that both strategies are earthquake dependant for earthquake frequency close to the main system frequency. A correlation analysis is made and it has been found that the new RBO strategy is more robust in the sense that it can provide the result of the displacement RBO with a small relative error.