Regular asymptotic methods in calculations of three-layer plates

Abstract Two versions of the asymptotic method, which enables the initial problem to be broken down into two simpler problems which can be solved using the classical theory of plates, are considered for solving problems in the theory of three-layer plates in the formulation previously proposed (VOLOKH K. Yu., A theoretical-experimental investigation and optimization of three-layer plates supported at points. Candidate dissertation, Moscow, 1991). These methods are used for a static and dynamic analysis of a rectangular three-layer plate supported on hinges along the contour. Estimates are obtained for the errors of the approximate solutions obtained after an arbitrary number of iterations.