Abstract:
The article is devoted to the study of the thin plate bending by the finite element method. The application
of the finite element method to solving the problem of the plate bending leads to the necessity of studying
the rectangular finite element of the plate. All deformation and statics characteristics of the plate are
functions of the displacement in the direction of the normal to the middle surface of the plate, which
is determined by the deflection function. In the article, the formation of the plate deflection function in
explicit form is carried out. The ways for finding the deflection function by division of the variables in
the equilibrium equation of the plate, through an incomplete fourth-degree polynomial and in the form of
Hermite polynomials are presented. The article is focused mainly on mechanics, engineers and scientific
employees of technical specialties.
