TUNABLE NONLINEAR META-PLATE WITH NON-SMOOTH OSCILLATORS FOR BROADBAND VIBRATION SUPPRESSION

A novel tunable nonlinear meta-plate with periodically distributed non-smooth nonlinear oscillators (NNOs) is proposed for broadband vibration suppression, whose tunability for non-smooth stiffness can be achieved by adjusting the clearance size. The governing equations of the nonlinear meta-plate integrated with NNOs are derived using the Hamilton principle. The numerical simulation results show that the tunable-nonlinear-bandgap characteristic of the proposed metastructure can be achieved by modulating the clearance size and the nonlinear stiffness of the NNOs. In particular, a nonlinear bandgap possessing substantial amplitude reduction can be observed, which makes the nonlinear meta-plate behave excellent broadband vibration suppression performance. Furthermore, there exist a minimum number of BLOs with a small additional mass which can form a dramatic vibration reduction for practical design with finite-size meta-plate. The present work demonstrates that the designed tunable-NNOs-based meta-plate with non-smooth nonlinearity can contribute to a breakthrough of the limitation of existing nonlinear metastructure and provide a novel and effective approach to tailor strong mechanical nonlinearity and to enhance broadband vibration attenuation performance.