Abstract:

On the basis of the theory of thin plates and using elements of the theory of generalized functions, the problem of determining the critical compressive load on a sandwich rectangular plate with a through cut is solved. The method of accounting for a single cut, of limited length, parallel to one of the sides of a rectangular plan, extends to accounting for a rectangular cut or hole, since four cuts can form a closed quadrangular contour, and, therefore, simulate a hole. By different selection of approximating functions, it is also proposed to take into account different types of boundary conditions.

Keywords: plate; stability; cut; hole.