On surface waves on a viscoelastic cylindrical disk

The propagation of surface waves on a viscoelastic disk is considered. The spectral problem is reduced to solving a system of the first-order ordinary differential equations with variable complex coefficients. The solution of the system of differential equations is expressed by means of the cylindrical special functions of Bessel and Hankel. Frequency equations are solved numerically using the methods of Mueller and Gauss. The change in the natural fre-quency and phase velocity as a function of the wave number is studied. The problem is also solved numerically, using the method for orthogonal rotation of Godunov and Mueller's method. The obtained numerical results are compared.