ANALYTICAL STUDY OF CYLINDRICAL BEND OF PLATES WITH REGARD TO SHEAR DEFORMATIONS UNDER VARIOUS CONDITIONS OF THEIR EDGE RESTRAINT
The article examines the transverse bending of the plate over the cylindrical surface taking into consideration shear deformations for various conditions of its restraint. Such formulation of the problem is natural for the plate whose length considerably exceeds its width. Having performed the analytical study of the boundary conditions characterizing the plate edges fastening conditions, the authors demonstrate the correlations between the bending and shear deflections as well as the shear deformation effect on the bending moments in the plate. The engineering application of the given approach is the calculation and designing of three-layer panels that include acoustic soundproof structures and thin-walled structural elements of aircraft equipment.