Nonlinear features and energy transfer in an Acoustic Black Hole beam through intentional electromechanical coupling

Acoustic Black Hole (ABH) phenomenon features unique wave retarding and energy focusing of flexural waves inside thin-walled structures whose thickness follows a power-law variation. Existing studies, mostly on linear aspects, show the deficiency ABH in coping with low-frequency problems, typically below so-called cut-on frequency. In this paper, electrical nonlinearities are intentionally imposed via PZT patches over an beam to tactically influence its dynamics through electromechanical coupling. Using fully coupled model, typical coupling phenomena between external nonlinear circuits, as well resultant salient system, numerically investigated. Results beneficial effects arising from intentional nonlinearity terms generating transfer low high frequencies beam, before being dissipated by covered small amount damping materials. As such, effective frequency range is broadened, conducive vibration control problems. Meanwhile, different existing mechanical means, introduced allows for flexible tuning accommodate specific ranges applications.