Abstract
Analytic expressions for local flexural characteristics and stresses of sandwich panels under loading by point forces have been found. A discrete-layer model for bending of a three-layer panel with a soft filler is proposed. Contractility of a normal in the model is deduced in terms of a difference between deflections of face layers. The accountability of transverse shear in the filler and the sheets is deduced on piecewise rotation of the normal. Equations of the model having four degrees of displacement freedom are of twelfth order. The specific features of the stress from point forces in cylindrical bending are considered using the operational Laplace method with the generalized Dirac function. The boundary problem of a panel supported along the surface of its lower face layer with free ends is reduced to the Cauchy problem. Variants are examined for the limiting transformation of the model parameters leading to a change in its kinematics and the corresponding simplified bending model.
Published Version
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