On the Design Criteria of Dynamic Vibration Absorbers for Controlling Friction-Induced Oscillations

Abstract

The present article investigates the efficacy of a dynamic vibration absorber (DVA) in suppressing friction-induced instability. A two-degree-of-freedom model, incorporating tangential and normal mode-coupling along with the velocity-weakening friction characteristic (the so-called Stribeck effect), represents the minimal phenomenological model of the primary system. The DVA is aligned at an angle to the direction of sliding. A method of selecting the best parameters of the DVA is discussed. The design criteria are based on minimal detuning and maximum stability and robustness against all possible parametric perturbations. Robustness of the design is analysed using the ε-pseudospectra of the Jacobian matrix.