Global plate vibration reduction using a periodic grid of vibration absorbers

This paper studies the potential of a periodic grid of vibration absorbers to achieve global plate vibration reduction. The global plate vibration reduction is pursued by applying the principles of resonance based stop bands. This principle is investigated both by infinite structure theory and by an example of a finite plate with a periodic grid of tuned resonators. Specific attention is paid to the effect of the level of damping in the tuned resonators. The tuned resonators are shown to have a strong effect on the plate vibrations in the frequency region corresponding to the resonance frequency of the resonators. Furthermore, it is shown that the damping in the resonators leads to a wider stop band at the cost of the level of vibration reduction inside the stop band. A guideline for the required number of resonators to achieve global plate vibration reduction is derived based on the finding that the distance between the tuned resonators should be smaller than half a wavelength.