In the article the task of cross bending of elastic isotropic plates with simply supported and clamped edge from the action of evenly distributed load is described. It is suggested to use form factor interpolation technique to determine the value of maximum plate deflection; and the ratio of inner conformal radius to the outer as a geometric argument is proposed to be used instead of form factor. Such replacement allows the increase of the technique accuracy.
The article deals with the transverse bending problem of thin elastic orthotropic plates with combined boundary conditions. The form factor interpolation method is used for deformation calculations. Analytical expressions of maximum deflection surfaces are obtained. It is proposed to use these expressions as the reference solutions. The example of the solution to the problem of transverse bending plate in the form of a parallelogram is given.
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