Gear-shifting tunable meta-shaft for low-frequency torsional vibration suppression

Abstract: Metastructures with band gaps provide a new solution for the torsional vibration attenuation in shaft systems, while tunable band gaps remain challenging, typically relying on additional physical fields or complex assembly processes. In this study, a gear-shifting tunable meta-shaft with self-locking gear (SLG) resonators is proposed, where a simple gear-shifting mechanism replaces complex tuning methods to achieve low-frequency torsional vibration suppression in tunable frequency ranges. First, as the key components of the SLG resonator, six inner curved beams are designed to provide precisely tunable torsional stiffness of the resonator through their deformed shapes controlled by shifting the gear teeth on the edge of the resonator. Also, based on the gear-shifting mechanism, the SLG resonator achieves resonant frequency modulation and opens tunable low-frequency torsional band gaps consistent with theoretical predictions. Then, the SLG resonators are periodically attached to a uniform shaft to construct a gear-shifting tunable meta-shaft, whose dynamic response is obtained using numerical simulations to evaluate its torsional wave attenuation performance. Finally, a gear-shifting tunable meta-shaft prototype is fabricated and experiments are carried out to study the propagation characteristics of torsional waves therein. Through the consistency observed among theoretical analysis, numerical simulations, and experimental results, the gear-shifting tunable meta-shaft is found to exhibit excellent attenuation performance in the tunable low-frequency band gaps. Therefore, the proposed gear-shifting tunable meta-shaft paves a new way for low-frequency torsional vibration suppression.