On the Potential of Local Resonators to Obtain Low-Frequency Band Gaps in Periodic Lightweight Structures

Abstract eng:
Periodic structures, such as honeycomb core panels, combine excellent mechanical properties with a low mass, making them attractive for application in transport and machine design. However, the high stiffness to mass ratio of these lightweight panels may result in unsatisfactory dynamic behavior in that it may impair the panels’ ability to reduce noise and vibration levels. Their noise and vibration properties can be improved by the application of band gaps, i.e. zones with no free wave propagation. As indicated by Brillouin, periodic structures can exhibit band gap behavior, which in the case of sandwich panels could lead to frequency zones of reduced sound radiation or improved sound transmission loss. Band gaps are commonly the result of interference of traveling waves on the unit cell level, which implies that the lower limit of band gap zones is set by the length scale of the unit cell. However, band gaps can also be obtained by the addition of local resonators. These local resonance band gaps can be freely tuned in a low-frequency zone, independent of the unit cell scale length, making them an appealing engineering tool to improve the dynamic behavior of periodic lightweight structures. By means of numerical models the potential of local resonance band gaps for lightweight periodic panels is shown and compared with interference based band gaps.

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