"Drive with articulated joints is a dynamic evolutionary system. Modal and spectral properties relative transverse vibration in the rotating area are dependent on the angular velocity of shaft rotation. Job can be the first approach to solve analytically. More complex systems can be solved either by discretization using finite element method and conversion into eigenvalues, eigenvectors, or transfer matrix method, which is a combination of analytical solutions and numerical methods. It is derived finite element for one - dimensional linear continuum in the state combined bending-gyratory oscillations. Furthermore, the application of finite element method designed and tuned method for calculating eigenvalues and eigenvectors graded shaft in a state combined bending-gyratory oscillation. It is the comparison of the mentioned methods."