Linear and nonlinear dynamics of a plate with acoustic black hole, geometric and contact nonlinearity for vibration mitigation

A rectangular plate with a wedge profile creating an Acoustic Black Hole (ABH) termination is studied numerically. particular emphasis put on combining two different types of nonlinearity in order to improve the passive damping capacity ABH by transferring energy high-frequency range where it more efficient. First, addition contact points create vibro-impact black hole (VI-ABH) taken into account, following previous study beams. The allows for rapid and efficient transfer energy. Second, large-amplitude vibrations region small thickness reached, also considered. geometric incorporated using von Kármán model, regime wave turbulence shown be triggered thus flux from low high frequencies. linear characteristics are first analyzed. Numerical results show appearance overdamped modes gathered solution branches constant number half-waves transverse direction ABH, seen as waveguide. structure prominent when increasing width plate, showing transition beam-like full structure, fixed value fundamental cut-on frequency. combination both nonlinearities effect then reported. It that coexistence provides better efficacy.