Flexural Wave Propagation in Square Damping Plate Bonded with Two Cylinders Symmetrically

Purpose: Flexural wave propagation in non-homogeneous plates has wide engineering backgrounds, such as the out-of-plane vibration of the decks in buildings, and so on, and the corresponding research will provide some useful suggestions for the vibration control of the associated structures. Method: Taking the out-of-plane vibration of the basal plate bonded with electronic elements encapsulated in the spacecraft induced by the impact series as the background, the flexural wave propagation in the square damping thin plate bonded with two cylinders symmetrically is investigated by the structure-preserving approach in this paper. Based on the variational principle, the dynamic equation describing the flexural wave propagation in the square damping non-homogeneous plate is deduced. Employing the structure-preserving method, the wave propagation in the plate excited by the impact series is simulated. Results and Conclusions: In the numerical simulation, the impact series is classified into two types and different sizes of the cylinders are considered. From the numerical results, we find that the flexural elastic wave forms are symmetric if the impact series is symmetric and the vibration induced by the impact acting on the bolts located at the center of the edge is more severe than that induced by the impact acting on the bolts located at the corner of the plate if the impact series is asymmetric. In addition, the effects of the size of the cylinders on the flexural wave propagation in the non-homogeneous plate are also investigated by the numerical simulation.