A verification of analytical model of vibrations of sandwich plate with honeycomb core

In this article an analytical model of vibrations of three-layered sandwich plate based on the tolerance averaging technique is presented and discussed. The superiority of the derived model lies in its capability to describe the dynamic behaviour of sandwich plate with any type of periodic microstructure – located not only in the core but also in the faces of it. Another advantage is the fact, that during the modelling procedure it is still possible to investigate a local, microscale fluctuations of displacements caused by the periodic microstructure. The aim of the paper is to provide a broad validation of the model in case of sandwich plate with honeycomb core. In order to achieve this goal both analytical and numerical solutions known from the literature are prepared, compared and discussed. As a result, it is shown, that within a specific applicability limit the derived model provides sufficiently precise results, while still remaining relatively simple to use, which proves its correctness. Eventually, some guidelines on how to further increase its reliability and versatility are provided.