Improvement of Calculation Technique for Flexible Orthotropic Plates on Elastic Base. Part 1: Calculation Theory

The paper considers a rectangular orthotropic insulated slab on an elastic foundation, modeled by homogeneous isotropic layer rigidly connected to non-deformable foundation. Elastic and nonlinear calculations of this plate opening. calculation flexible foundation in formulation is carried out iteratively the method B. N. Zhemochkin. To determine coefficients canonical equations free terms, mixed structural mechanics was used. deflections with pinched normal main system due action concentrated force are determined Ritz when represented as power polynomial new original expression, which proposed author for first time studies. This expression satisfies not only boundary conditions terms displacements, but also biharmonic equation. In calculations, finding variable (secant) stiffness Zhemochkin section, at each iteration, “stiffness – curvature” dependence used X Y directions, approximated function, nature graphically indicates nonlinear-elastic operation its deformation taking into account crack formation algorithm above solution implemented using Wolfram Mathematica 11.3 computer program.