OPTIMUM DESIGN OF THE TUNED MASS DAMPER TO REDUCE THE TORSIONAL VIBRATION OF THE MACHINE SHAFT SUBJECTED TO RANDOM EXCITATION

Abstract

In practice, torsional vibration plays an important role in degrading the safety and stability of structures under the effects of torsional torque such as machine shafts, turbine shafts, etc. However, the study on the design of a tuned mass damper (TMD) for shafts is very limited in the literature. In case of the shaft is excited by random excitation, there has been no study to reduce the torsional vibration of the shaft. This paper presents an analytical method to determine optimal parameters of the tuned mass damper (TMD), such as the ratio between natural frequency of TMD and the shaft (tuning ratio), the ratio of the viscous coefficient of TMD (damping ratio). Two novel findings of the present study are summarized as follows. First, the optimal parameters of TMD for the shafts are given by using the minimum quadratic torque method. Next, a numerical simulation is done for an example of the machine shaft to validate the effectiveness of the results obtained in this work.