A Robust Delayed Resonator Construction Using Amplifying Mechanism

The delayed resonator (DR) is an active vibration absorber, which yields ideal vibration suppression at its resonance frequency. In this study, we further complement the DR design in a distinctive mechanical path by introducing an amplifying mechanism (AM), so the creation of DRA. Very different from the existing works that focus more on how to enhance the ideal vibration suppression of the DR, we are interested in how the DR behaves under uncertainties and how can the newly proposed DRA abate the arising negative effects. First, we study the effects of such uncertainties in detecting the excitation frequency on the quality of vibration suppression, working space of the absorber, and energy cost. Then, we discuss how the control parameter perturbation affects the system stability. A comparative study between the classic DR and the proposed DRA is presented throughout the text, showing that the enhanced performance and robustness characteristics enabled by the AM are almost all-around while posing no additional controller complexity. We also show using spectral analysis that the AM can also enhance the transient behavior of the system. Finally, three numerical simulations included as core studies vividly exhibit DRA’s practical strength.