A TMD Parameters Optimization with Uncertain Bounded Structural Parameters

The purpose of the present work is to present and discuss a technique for optimizing the parameters of a vibration absorber in the presence of structural uncertain but bounded parameters. The technique used in the optimization is an interval extension based on a Taylor expansion of the objective function. The technique allows transforming the problem, initially stochastic, into two independents deterministic sub-problems. Two kinds of problems are considered: the Stochastic Structural Optimization (SSO) and the Reliability Based Optimization (RBO). It has been demonstrated through a Tuned mass Damper optimisation problem that the technique is valid for the structural optimization problem, even for high levels of uncertainties and is less suitable for the reliability based optimization, especially when considering high levels of uncertainties.