Abstract
The article discusses a method for calculating three-layer plates, in which a lightweight viscoelastic material acts as a middle layer. The technical theory of three-layer structures is used. The derivation of the resolving equation, the numerical and analytical solution of the problem, as well as comparison with the solution in the LIRA software package are presented.
Highlights
Three-layer plates and shells, combining lightness and high load-bearing capacity, are widely used in construction
If the creep law is given by formula (21), it is possible to determine the deflection as t → ∞ by substituting the long-term modulus H instead of the instantaneous modulus of filler shear G into formula (20)
The resolving equation is obtained for calculating circular axisymmetrically loaded threelayer plates taking into account the creep of the middle layer
Summary
Three-layer plates and shells, combining lightness and high load-bearing capacity, are widely used in construction. It is known that polyurethane foam, which is used in such structures as a middle layer, has elastic properties, and viscosity. For an adequate description of the stress-strain state of three-layer structures, it is necessary to use the apparatus of the creep theory. Most of the existing publications on the creep of three-layer structures refer to beams [1,2,3,4]. The purpose of this work is to develop the method for calculating circular axisymmetrically loaded three-layer plates with a lightweight filler, taking into account creep
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