Stability and dynamic response of centrifugal pendulum vibration absorber based on nonlinear hybrid damping

Centrifugal pendulum vibration absorber (CPVA) have emerged as an extremely effective method to mitigate torsional vibrations in rotating machinery. Previous studies have predominantly focused on viscous damping between pendulums and rotor, largely ignoring other damping mechanisms. However, recent experimental endeavors have revealed a hybrid damping concept that combines rolling and viscous damping, providing a more realistic portrayal of CPVA dynamics in vehicular applications. This study builds on prior investigations by incorporating nonlinear hybrid damping of the pendulums and investigating the steady-state and transient behavior of the CPVA within gravitational and centrifugal force fields. We propose a methodology for deriving pendulum equations of motion based on perturbation and multiple scales. Subsequently, we investigated the CPVA's critical stability and bifurcation as well as a variety of nonlinear phenomena, using numerical simulations to validate our results. Furthermore, our study revealed a novel phenomenon known as the ‘phase jump’ for the pendulum. It is worth noting that the CPVA's dynamic performance can be improved and the local nonlinear response can be reduced by adjusting the share and magnitude of the rolling and viscous damping coefficients. This study provides insights for optimizing the CPVA's performance and advancing its efficacy.