On the non‐ideal vibrating structures

Abstract

In this work, analysis of the response to vibrations of a small building equipped with an electromechanical vibration absorber is investigated. The case of harmonic excitation with constant or time dependent frequencies is considered. The interaction between the structure and the energy source is analyzed via the Sommerfeld effect inside the resonance region. The resonance capture and the vibration reduction are displayed by the time history displacement of the last story.

On the chaotic behavior of the non‐ideal vibrating systems

“…For these kinds of systems, a new degree of freedom is present for which a new equation has to be added in order to describe how the energy source interacts with the vibrating system. Given the trajectories we analyze if their behavior is chaotic or not with respect to a control parameter which characterizes the energy source [5]. To do this we investigate the behavior of the Euclidean distance in the phase space between a parent trajectory and another trajectory obtained by a slight perturbation of the trajectory parent at the tome τ = 0…”