Generalization of a continuously structural and discretely structural approach to the solution of the problems in the dynamics of layered composite plates and structures with delaminations. communication 2. An analytical expansion of the functions so

摘要

Based on the analytical separation of variables, a three-dimensional solution of the problem of determining the natural vibration frequencies and modes for multilayer plates has been obtained. A comparison between the models with an analytical separation of variables and those with a polynomial approximations of the functions sought has been made by the structure thickness. An applied model within the continuously structural approach enables one to determine the frequencies and modes of natural vibrations for a wide class of problems to sufficient accuracy. If necessary, a transition to a discretely structural version of the model is possible which results in the refining of the calculation results.