Interval Frequency Response of Uncertain Locally Resonant Structures

The paper aims to evaluate the interval frequency response of uncertain locally resonant structures. Following a non-probabilistic approach, the parameters of the resonators are modelled as uncertain-but-bounded variables defined by lower and upper bounds. The bounds of the frequency response of the locally resonant structure are obtained by a global optimization technique as well as first-order and second-order Taylor approximations, taking full advantage of very simple and explicit expressions ensuring a remarkable reduction of computational effort. Applications on locally resonant beams and plates focus on analysing the frequency response variability due to the uncertainties.