APPLICATION OF GENERALIZED EQUATIONS OF THE FINITE DIFFERENCE METHOD AS PART OF THE ANALYSIS OF SLABS RESTING ON ELASTIC FOUNDATIONS

Generalized equations of the finite difference method are used to analyze bended slabs resting on elastic foundations. The algorithm makes it possible to take account of the finite discontinuity of the function, its first derivative and the right part of the differential equation without getting any points outside of the contour or a fine grid involved in the analysis. The examples have proven the high accuracy of the proposed analysis that employs a coarse grid and a simple algorithm. It is noteworthy that the algorithm of the analysis is developed with a view to the employment of computer-aided methods and with due account for a substantial number of subsettings. The examples provided in the article are solely designated to illustrate the operation of the proposed algorithm. They demonstrate that even if the number of subsettings is minimal, generalized equations of the method of finite differences are capable of generating the results that make it possible to assess the stress-strained state of a slab