Enhanced vibration decay in high-Q resonators by confined of parametric excitation

High-Q micromechanical resonators have been studied intensively because of the tunable performance and the associated potential applications. Nevertheless, some designs experience long relaxation times which hinder fast switching applications. We investigate an open-loop control, an intentional and confined time-periodic variation, that is capable of reducing the transient time allowing rapid switching times. The physical phenomenon is described in detail and analysed using a singular perturbation technique. Analytical conditions are developed for designing future experimentation. The control is proven numerically for an exemplary micromechanical resonator.