Stability of E.Reyssner plates on the elastic nonvinklir base

Abstract

Stability of E.Reyssner plates on the elastic nonvinklir base

Vysokovsky D.A., Rusakova E.B.

Incoming article date: 02.06.2017

The problem of the stability of E.Reyssner plate on the three-dimensional elastic layer with predetermined constant elasticity. The end surfaces are smooth, communications holding layer. It is believed that the plate is in a flat stress-strain state of the effects on its cylindrical surface of the self-balanced load, with some numerical parameter characterizing the magnitude of the load at loss of stability of the plate. From the conditions of restraint ties, a system of equations for determining the numerical parameter. We give a method for calculating the lowest value of the parameter at which the fixed loss of stability of the plate. As special cases, the results of the classical theory and model of Winkler foundation.

Keywords: the self-balance loading, strained state, stress functions, stability loss