CALCULATION OF BENT PLATES WITH HOLES USING POLYNOMIAL INTERPOLATION OF BASIC MIXED UNKNOWNS

The methods for solving high-order systems of linear algebraic equations (SLAE) obtained during the analysis of modern buildings and structures using finite element method (FEM) computational complexes are discussed. For the first time, an algorithm is proposed for constructing a reduced system of finite element equations in the form of a classical mixed method, based on polynomial interpolation of the primary unknowns. This developed algorithm is applied to calculate the stress and deformation of a plate hinged along the contour with a square hole measuring ½ of its overall dimensions. A comparison is made between the results obtained using this algorithm, those obtained using FEM in the form of the classical mixed method without SLAE reduction, and those obtained using the LIRA CAD software package. The conclusion is drawn regarding the potential integration of this algorithm into software products implementing FEM in the form of a classical mixed method.