Abstract:

A mathematical model of the axisymmetric deformation of steel by the thickness of elastic circular sandwich plates based on Pasternak is suggested. The corresponding boundary value problem system of differential equilibrium equations in displacements and boundary conditions are includes. The general solution is obtained in the Bessel functions. The case of bending the plate under the action of uniformly distributed surface load with rigid fastening of its contour is considered.Numerical results are obtained and their parametric analysis is made.

Keywords: Three-layer circular plate, displacement, deformation, axisymmetric bending, Pasternak’s base