Influence of Variable Damping Coefficient on Efficiency of TMD with Inerter

Abstract

In this paper, we study the dynamics of a two-degree freedom system consisting of the main body and tuned mass damper with inerter (TMDI). We add the dash-pot with variable damping coefficient to TMDI to study the overall efficiency of the device. We investigate different types of the non-linear characteristic of the dash-pot. We investigate devices in which damping coefficient change according to the relative displacement or the relative velocity between the damped mass and tuned mass damper. We also include in the investigation of different types of control functions. We show the two-parameter diagrams presenting the main body’s maximum amplitude versus the frequency of excitation of the damped body and different control parameter. We show how the application of a non-linear damper lets us control the main system’s oscillation amplitude.

The optimization of the TMDI for efficient mitigation of the vibration

“…Within this context, after the successful development of a TMDI, a TMDI with variable damping became the next target of our research team. The first step was a series of simulations published in 2020 to demonstrate that changing the damping can improve the performance of the TMD [24]. This study was purely numerical, and in the next step, a model of a real dashpot with a variable damping coefficient had to be created.…”