Peculiarities of mathematical modeling of contact interaction of massive bodies and shells

Abstract

The limits of using a mathematical model of contact interaction of elastic bodies, based on the Hertz’s solution in engineering practice are defined. Numerical investigation of the contact of a massive body and a shell has been conducted when the parameters of the latter vary. Three-dimensional finite-element models of contacting bodies have been developed in the case of different curvatures and thicknesses of the shell walls. A solution of the normal contact problem is given by the force method for various configuration models of the shell. Ratios of the geometric parameters of models the finite-element schemes of the contacting bodies are ere determined where the problem is described with sufficient accuracy by the Hertz’s solution.