Beschreibung:
<jats:p>Elastic structures of buildings and machines, the dynamic behavior mathematical model of which is the problem of longitudinal vibrations of rods, are widespread in modern technology. In this regard, the study of issues related to the longitudinal vibrations of the rods is also an urgent problem currently. In terms of solving such problems, we considered the problem formulation of longitudinal (free and forced) vibration of rods, obtained the spectra of natural frequencies ω<jats:sub>n</jats:sub> and own forms φ<jats:sub>n</jats:sub>(x) vibration, u(x, t) – the function of cross-sections displacement in the longitudinal direction of the rod has been found.</jats:p>