Solving the Mixed Problem of Elasticity Theory with Mass Forces for Transversal-Isotropic Body

The work presents a mathematical model of building a tense-deformed state of transversal-isotropic bodies limited by rotational surfaces. A surface load is applied to one part of the body surface relative to the axis of rotation. The other part of the body surface is pinched. The solution is built by means of the boundary state method. The way of forming a scalar work is shown to ensure the isomorphism of the spaces of internal and boundary states. Their orthogonalization is carried out and the solution is determined by the number of Fourier on the elements of the orthostandard basis. The solution to the mixed problem of the theory of elasticity for the body of rotation in the form of a circular cylinder is presented. An analysis of the convergence of the solution has been made and a graphic visualization of the results is presented.