Ефимова Т.Л. «Численное решение задачи о неосесимметричных свободных колебаниях ортотропных неоднородных цилиндров на основе метода сплайн-коллокации» Доповiдi нацiональноi академii наук Украiни, № 3, с. 58-64 (2010)

A problem on natural vibrations of an orthotropic hollow cylinder under various boundary conditions of its end-faces on the basis of 3-D theory of elasticity is considered. The original partial equations of the theory of elasticity, using the spline-approximation, are reduced to the problem for eigenvalues for the systems of ordinary differential equations of a high order. The problem is solved by the steady-state numerical method of discrete orthogonalization. The results of calculation for the case of an inhomogeneous cylinder for different kinds of boundary conditions on the its end-faces are presented.