COMPUTER ANALYSIS OF BENDING OF A RECTANGULAR PLATE BASED ON THE THEORY OF ELASTICITY AND DIFFERENTIAL EQUATIONS USING ANSYS

Abstract

In this article, the bending process of a thin rectangular plate under the influence of an external static load is studied based on the theory of elasticity and differential equations. The displacements, deformations, internal stresses, moments and transverse forces of the plate are determined analytically, and the solutions are expressed using Fourier series. The results of the study were also analyzed based on computer modeling performed in the ANSYS program, and the correspondence between theoretical and numerical results was assessed. The results obtained are of significant practical importance in the design of plate-shaped structures, increasing their strength and reliability, and selecting optimal geometric parameters and materials in the fields of construction and mechanical engineering.