Аннотация:In this article, a new method for numerical solution of eigenproblems for linear Hamiltonian systems is presented. It is applied to calculation of natural frequencies of rod-like systems with distributed parameters. Three widely used models (Euler-Bernoulli, Rayleigh and Timoshenko) for transverse vibrations of a rod with hinged ends are considered alongside with a pipeline vibration model. The results of calculations of the eigenvalues are given.