DETERMINING OPTIMAL PARAMETERS OF THE TUNED MASS DAMPER TO REDUCE THE TORSIONAL VIBRATION OF THE MACHINE SHAFT BY USING THE FIXED-POINT THEORY

Abstract

This paper presents an analytical method to determine optimal parameters
of tuned mass damper (TMD), such as the ratio between natural frequency of
TMD and shaft, the ratio of the viscous coefficient of the TMD. Two novel findings
of the present study are summarized as follows. First, the optimal parameters of
the TMD for the shafts are given by using the fixed-point theory (FPT). Next, a
numerical simulation is done for an example of the machine shaft to validate the
effectiveness of the results obtained in this study. The simulation results indicate
that the proposed method significantly increases the effectiveness in torsional
vibration reduction of the machine shaft.