Damping of longitudinal vibrations of a cylindrical rod

Abstract

Oscillation of an underground cylindrical rod located in an infinite medium and equipped with a dynamic vibration damper is considered. The vibrations of the structure occur from the action of harmonic forces located along the longitudinal axis of the bar. The possibility of decreasing the vibration amplitude using a two-mass absorber with a series connection of masses is considered. The parameters of the absorbers were optimized for different values of the environmental parameters. It was found that with a fairly high operating efficiency of the main damper for damping the first vibration mode, an additional damper can be used to reduce the amplitude of the second resonance. In this case, both dampers operate on separate vibration modes. Using a two-mass absorber can significantly reduce the formation of an underground structure. In this case, the expansion of the quenching zone was achieved in comparison with a single-mass quencher.

Transverse vibrations of underground pipeline with pinched ends

“…The damping of vibrations of an underground cylindrical structure using a multi-mass dynamic vibration damper was considered [4], and the effectiveness of this approach was proved. The longitudinal vibrations of an infinite cylindrical rod from the action of harmonic forces are considered in [5], and the possibility of damping the longitudinal vibrations of a cylindrical rod from constantly acting harmonic forces with a stable frequency of action is studied in [6].…”

“…Underground cylindrical structures with an annular cross-section, as a rule, have a sufficiently high rigidity in cross-section and therefore are considered non-deformable, rigidly movable in the transverse direction. The rigid movement of a cylindrical disk in the section plane and the possibility of damping its vibrations using multi-mass dynamic vibration dampers were considered [6].…”