Hybrid vibration control study of a double-layer-plate system by employing the beam-type and coupling nonlinear vibration absorbers

To gain a more attractive vibration control effectiveness of the double-layer-plate system, this work introduces the beam-type nonlinear vibration absorber (BNVA) and coupling nonlinear vibration absorbers (CNVAs) into a double-layer-plate system to study the hybrid vibration control. Analysis of the numerical results reveals that the operational states of the BNVA and CNVAs are classified into multi-band synchronous linear and nonlinear control modes. Independently using the BNVA and CNVAs can concurrently mitigate vibrations in both the targeted and supporting plates. Under the nonlinear control mode, targeted energy transfer and quasi-periodic vibrations are observed within the double-layer plate system. Furthermore, the simultaneous application of the BNVA and CNVAs combines the vibration suppression benefits of both components across various resonance regions, forming a novel hybrid vibration control method. Vibration magnitudes are maintained within desirable levels for each resonance region of the double-layer plate system by using the above method. Importantly, within a specified range of nonlinear stiffness for the BNVA and CNVAs, optimal average vibration suppression ratio points can be identified for both the target and support plates. At these parameter points, significant vibration reduction ratios of the two-layer-plate system are obtained. Overall, the hybrid utilization of the BNVA and CNVAs offers a novel strategy for leveraging nonlinearities to control undesirable vibrations in the double-layer-plate system. The novel hybrid vibration control method contains potential applications in enhancing the vibration control effectiveness of coupled engineering structures.