On the calculation of rectangular plates by the collocation method

Abstract

On the calculation of rectangular plates by the collocation method The article is devoted to the application of the collocation method to solving differential equations, which are the basis for calculating many problems of mechanics. In this article the structure of this method is presented, its main components are highlighted; its types are characterized, as well as its classical approaches. The research of the problem of rectangular plates bending is carried out by the method of collocations in this article. The collocation method, like all numerical-analytical approximate methods, has a number of advantages and disadvantages, which are also noted in this article. The article is focused mainly on mechanics, engineers and technical specialists.

On Calculation Methods for the Model of Plates Bending

“…2). e) wall-mounted film heater; f) building plates and slabs; g) copper sheets and plates roof; h) plates in an alkaline apparatus of water ionization; i) Earth satellite Many analytical and numerical calculation methods are used to study the problems of plate bending [1][2][3]. An exact solution in analytical form for such problems is possible only in some particular cases of the geometrical type of the plate, the load and the conditions for its fixation on the supports, therefore, for engineering practice, approximate, but sufficiently accurate methods for solving the considered boundary value problem are of special importance.…”