BENDING ANALYSIS OF THIN ISOTROPIC PLATES

Abstract

In the field of modern construction, thin isotropic plates are widely used. The development of calculation methods and mathematical models for thin isotropic plates of rectangular shape is an important issue. The article examines the bending of a rectangular thin isotropic plate. The method of separation of variables is employed to derive the plate calculation theory. The deformation due to the bending of a rectangular thin isotropic plate is obtained using the classical plate bending theory. A simplified version of the classical theory is presented, defining the solution to the plate bending problem using simple polynomials. Solutions to the problem of bending a rectangular thin isotropic plate are provided. The obtained calculation results are compared with Navier's method and the finite element method.