Abstract
In order to perfect the theoretical framework of the radial phonon crystal circular plate, a damping type radial circular plate is constructed. The localization factor of damping is solved by transfer matrix method, and the finite element simulation and experimental verification are carried out. Furthermore, the effect of elastic modulus on the bandgap is investigated from the perspective of its frequency nonlinearity. The results show that the damping effect of viscoelastic materials has a significant effect on the bandgap, which is mainly reflected in the fact that the cut-off frequency of bandgap moves to the high frequency with the increase of material loss factor, thus broadening the bandgap. The damping effect of damping alloy has no obvious influence on the bandgap characteristic, which is related to the inherent impedance characteristic of the alloy.
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