The Influence of Elastic Constraints on the Dispersion of Bending Waves in Rods with Periodic Parameters

Problems on the harmonic transverse vibrations of rods with a periodic structure and elastic linear and angular constraints are reduced to Hamilton periodical systems of ordinary differential equations with pulse perturbations. The general solutions of the systems obtained are constructed and analyzed based on the Floquet theorem. The transmission and cut-off domains of vibrations are determined for specific types of beams over a wide frequency range