Phase trajectories of non-linear oscillations of a tower structure with an attached damper in a uniform wind flow

Abstract

This paper is devoted to the study of the dynamic behaviour of a tower structure with an attached damper. Two dampers are attached to the upper end of the rod in two mutually perpendicular planes. The oscillation damper is a mass attached to the rod by elastic coupling and a viscous friction. The mathematical model of the object being under consideration includes a system of two non-linear differential equations. The numerical simulation was used to study the dynamic behavior of a dissipative system with limited excitation, containing a pendulum vibration damper. The characteristics of the system amplitude − the speed of the wind flow is obtained. It is shown that the pendulum vibration damper can significantly reduce the amplitudes of resonant oscillations of the cantilever rod. It is also shown that the choice of system parameters makes it possible to avoid the establishing of resonant oscillations of the system. at the first resonance zone where the amplitudes of oscillations achieved the greatest values.