Design of Tuned Mass Damper under Bounded Uncertain Parameters

The tuned mass damper parameters optimization in random vibration framework considering uncertain but bounded type system parameters that includes mass, damping and stiffness of the structure as well as ground motion parameters is studied here. Though, the damper parameters optimization under uncertain parameters in probabilistic framework is powerful, the approach can not be applied in many real situations when the required detailed information on the statistical variations of the parameters is limited. In such case, the interval method is a viable alternative. With the aid of matrix perturbation theory using first order Taylor series expansion and interval extension of the dynamic response function, the problem under interval parameters is transformed here into appropriate deterministic optimization problems. Numerical study is performed to elucidate the effect of parameters uncertainties on the optimization of damper parameters.