The advanced convergence method in the problem on torsional oscillations of a circular disc inhomogeneous in thickness

On the basis of the advanced convergence method developed by the authors, torsional vibrations of a circular disk which is fixed on a shaft are investigated numerically and analytically. Thickness of the disk depends on the radius. The internal boundary of the disk is fixed on a shaft while the external one is free of loadings. The first few eigenvalue frequencies of torsional oscillations are obtained for various ratio of the external disk radius and the internal one as well as for various mass distributions.