On the use of tuned mass dampers for reducing the nonlinear vibrations of planar parallel cable robots

Abstract

The out of plane free vibrations of planar parallel cable robots possess a long duration, this is a problem for applications that require a fast settling time, which corresponds to the time necessary for the vibration to stop. We evaluated the effectiveness of a tuned mass damper (TMD) as a solution to minimize the settling time of these nonlinear vibrations. This paper presents a dynamical model of a two degree of freedom nonlinear mechanical system. Using this model, a numerical search was conducted to identify the optimal set of design parameters. During our investigations, it was observed that with an optimized tuned mass damper reductions of 96.51% of the settling time in the best case ..