A comparison of dynamic models of microheterogeneous asymmetric sandwich plates

摘要

Due to a lack of analytical solution to the issue of dynamics of asymmetric sandwich plates with a periodic microstructure, the only available method of modelling of such structures is FEM. However, such approach is usually a time-consuming process, which additionally requires a lot of computing resources due to a highly refined mesh. In this paper the analytical model of the mentioned structure, based on the tolerance averaging technique, is presented and discussed. The obtained model can be formulated with a system of partial differential equations with constant coefficients, which is relatively simple to solve. As a result, the proposed method is convenient for engineers and accurate. Moreover, unlike the asymptotic homogenisation method, it can be used to investigate the influence of microstructure on the overall behaviour of the plate. Eventually, in the calculation example a comparative simulations were conducted to investigate the influence of certain set of assumptions on the obtained results of free vibration frequencies and to verify the effectiveness and superiority of proposed calculation method over the FEM.