A Centrifugal Pendulum Tuned Mass Damper for Rotor Systems

Rotor systems are widely used in various machines, apparatuses, and other engineering systems, the crucial condition of the efficiency of which is the stability of stationary modes in a wide range of operation rotation speeds. In this work, mitigation of torsional oscillations is considered by the mechanical approach, without the use of control theory. The problem about choosing the parameters of the pendulums of the tuned mass damper of rotor angular vibrations arising in the plane of its rotation and caused by an external periodic excitation moment is considered. The solution to the problem is based on the antiresonance effect and on the use of the method of complex amplitudes. An analytical expression relating the parameter of the tuned mass damper and the rotor with its rotation speed and frequency of excitation is obtained. The results of the numerical solution to the nonlinear and linearized equations describing the motion of the system are presented, and the conditions of mitigation of oscillations obtained are analyzed.