DEFINITION OF BASIC FUNCTIONS IN THE PROBLEM OF BENDING ORTHOTROPIC PLATE

O.V. Maksimovich, V.F. Orobey, M.G. Surianinov

Some aspects of numerical-analytical boundary element method to the calculation of orthotropic plates. Bringing the two-dimensional problem to the one carried out variational method of Kantorovich-Vlasov. State vector of the bending of an orthotropic plate contains four components, and the characteristic equation has four roots, so for a complete solution is necessary to obtain analytical expressions of 64 basic functions. The form of these functions depends on the boundary conditions at longitudinal edges of the plate. In this paper, analytical expressions 16 and the fundamental functions for the free support of the longitudinal edges of the plate and any support conditions of the transverse edges.

Key words: boundary element method, the method of Kantorovich-Vlasov, orthotropic plate, the fundamental functions.