On a Variant of Geometrically Nonlinear Relations Of Dynamic Theory of Plates of Timoshenko's Type in Nonorthogonal Curvilinear Coordinates

摘要

An integral variant of geometrically nonlinear relations of the dynamic theory of plates of Timoshenko's type in non-orthogonal curvilinear system of coordinates is obtained in the work. The role of unknown functions describing the stress-strained state of plates belong a here to normal and tangent to coordinate lines components of the velocity vector of generalized shifts and tensors of forces: moments. The obtained set of integral equations may be used as the basic one when constructing the difference schemes using the method of S.K.Godunov or integro-interpolation method.