ЗМІШАНА ЗАДАЧА ТЕОРІЇ ПРУЖНОСТІ ДЛЯ ПРОСТОРУ З ЦИЛІНДРИЧНИМИ ПОРОЖНИНАМИ ТА ДЕЯКИМИ КРАЙОВИМИ УМОВАМИ КОНТАКТНОГО ТИПУ

Abstract

The solution of the threedimensional problem of the theory of elasticity is given, when stresses are given at the boundaries of some parallel cylindrical cavities, and tangential forces and normal displacements on the boundaries of others. The solution of the Lame system of equations is obtained by the generalized Fourier method in cylindrical coordinates connected with cylinders. Infinite systems of linear algebraic equations, to which the problem is reduced, are solved by truncation. As a result, displacements and stresses in the elastic body were found. Numerical results
are given for the case of two cylinders.