The influence of uncertainties in periodic structures for vibro-acoustic problems

Periodic structures have recently received significant attention in the field of vibro-acoustics. Based on periodic resonant structures, stop band materials can be attained. The purpose is to generate structures with particular dynamic behavior in order to attenuate wave propagation within certain frequency ranges. To transfer the promising results achieved in science during the last years to a broad band of applications in industry, it is necessary to quantify the influence of uncertainties in periodic structures. In this study, the influence of geometrical and material uncertainties on periodic structures is investigated. Therefore, a finite element model of an epoxy plate with beam resonators is developed. The behavior of stop band material with uncertain input parameters is studied based on non-sampling stochastic methods. The results are used to show the necessity of taking uncertainties in periodic structures into account. The performed stochastic simulations are suitable to define manufacturing tolerances for the production of stop band material.