THE DEFLECTIONS AND NATURAL FREQUENCIES OF THE COMPOSITE LAYERED SQUARE ISOTROPIC PLATES WITH HINGED SUPPORTS ALONG THE CONTOUR AT DIFFERENT STIFFNESS VALUES OF SHEAR TIES

Abstract

The relationship between the fundamental frequency of free transverse vibrations ω of multilayer isotropic square plates in an unloaded state and their maximum deflections W ₀ under the action of a uniformly distributed load depending on the number of layers and the rigidity of shear bonds is considered. The number of layers in a composite plate varies from two to ten. In the work, numerical studies of composite two-layer plates on compliant bonds were carried out using the finite element method. A finite element diagram of a multilayer plate is developed. The calculation was performed in the SCAD software package. The curves for different numbers of layers of multilayer plates “Deflection - stiffness of shear bonds” and “Frequency of transverse vibrations - stiffness of shear bonds” are plotted. It is shown that for composite multilayer square-shaped plates, the coefficient K coincides with an accuracy of 5.4% with the same coefficient for square plates of whole section.