Mathematical Models of Nonlinear Problems of Dynamics of Thin-Walled Structures under Aerodynamic Loading based on the Refined Timoshenko Theory

Abstract

A class of dynamic problems is investigated using a programming environment, the mathematical models of these problems are described by complex nonlinear integro-differential equations. The following problems were investigated in the study: dynamics of thin-walled structures under aerodynamic loading, taking into account the hereditary properties of the material and geometric non-linearity; dynamics of thin-walled structures under aerodynamic loading, taking into account the hereditary and in-homogeneous properties of the material