Targeted energy transfer in systems with external and self-excitation

The non-linear energy sink (NES) was introduced as a strongly non-linear attachment of relatively small mass, coupled to the primary oscillating system. It was demonstrated that the NES is capable of efficiently absorbing and suppressing broadband initial excitations. Later it was investigated as a possible engineering solution for more traditional problems of vibration suppression: mitigation of self-excited and externally forced systems, in conditions of single- and multiple-frequency forcing. The present review addresses the latter developments and describes relevant theoretical, experimental, and numerical findings. Special attention is paid to generic local and global bifurcations of the dynamic responses in the systems with the NES. Possibilities to predict such bifurcations on a qualitative level of analysis are revealed.