Targeted energy transfer between 2-D wing and nonlinear energy sinks and their dynamic behaviors

Abstract

The flow-induced vibration of two-dimensional wing coupled with two nonlinear energy sinks (NESs) under freestream is studied by numerical methods, and the relationship between the vibration suppression and targeted energy transfer (TET) of the system is analyzed in detail. First, the model of the coupling system, which includes heave and pitch modes, is presented, and the NESs are located at the leading edge and trailing edge (NES1 and NES2) separately. Then, the vibrations suppressed by NESs are also investigated from the viewpoint of energy transfer, and the resonance captures (RCs) in the nonlinear coupling system are studied by using spectrum analysis. Furthermore, the ensuing TET through the modes of wing (heave and pitch) and the NESs is discussed in detail. The results show that the NESs can absorb the energy from every single mode of the wing, and the TET and RCs between modes can be more significant in the coupling system. Therefore, the TET is more efficient between the wing and NESs. It leads to the increase of the critical velocity of freestream under which the nonlinear vibration of wing can be suppressed by NESs effectively.