STRESS STATE OF A CIRCULAR PLATE WITH RADIALLY VARYING THICKNESS UNDER ANTISYMMETRIC LOADING.

Abstract

Abstract. In this article, the stress-strain state of a circular plate whose thickness varies along the radius under antisymmetric loading is numerically investigated on the basis of the finite difference method. The governing differential equation of plate bending is reduced to a discrete form, and finite-difference analogues of the boundary conditions are obtained. Using graphs, the distribution laws of deflections, bending moments, and transverse forces are determined for plates made of aluminum and steel materials. The obtained results confirm that the radial variation of thickness and the elastic properties of the material have a significant effect on the mechanical state of the structure.