Nonlinear vibration control of a cantilever beam by a nonlinear energy sink

This paper investigates the effect of an attached/coupled nonlinear energy sink (NES1) on energy suppression of a cantilever beam under shock excitation. Grounded and ungrounded configurations of NES are studied and the NES performance is optimized through variation of different parameters. The realization of nonlinear vibration control through one-way irreversible nonlinear energy pumping and optimizing the system parameters result in acquiring up to 89% dissipation of the ungrounded system energy imposed by shock excitation. In addition, the bifurcations and topological structure of nonlinear normal modes (NNMs2) of both systems are studied in order to find necessary conditions of targeted energy transfer (TET3) realization in each configuration. In fact, the role of NNMs in identifying dynamics of energy pumping in especially continuous systems is studied for the first time.

► A cantilever beam with grounded and ungrounded NES configurations is studied.
► Energy pumping is occurred and optimized efficiently in an ungrounded configuration.
► Role of NNMs in dynamics of energy pumping in continuous systems is approved.
► Conditions of targeted energy transfer are obtained by studying NNMs structures.
► NNMs structure of grounded system led to no remarkable energy transfer to NES.