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Dynamic analysis and optimization of a cantilevered beam with both the acoustic black hole and the nonlinear energy sink

This paper presents a study of dynamics analysis and optimization of a nonlinear cantilevered beam with the combination of the acoustic black hole (ABH) and the nonlinear energy sink (NES). We establish the nonlinear equations of a cantilevered beam with both the ABH and a NES. Then, we conduct sensitivity analysis of the parameters of the NES for a further understanding. To discover the potential of the NES efficiency, we define a multi-objective optimization problem and solve it by using cell mapping method. The numerical results show that the nonlinear ABH beam with the optimal NES can dissipate 97.7% of the input energy due to the energy concentration capability of the ABH and the irreversible energy transfer behavior of the NES.