Stability of E. Reyssner’s plates on the elastic non-winkler foundation

The problem of E. Reyssner’s plate stability lying on an elastic three-dimensional layer with desired elastic constants. The end surfaces of layer are smooth, connection holding. It is assumed 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 оne obtain a system of equations for determining the numerical parameter. Method is given for calculating the lowest value of the parameter at which the plate’s loss of stability is fixed. As special cases, the results of the classical theory and model of Winkler foundation are present.

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