Abstract: A nonlinear attachment induces energy to be transferred and/or to be pumped from a primary system or primary structure to the nonlinear attachment. The nonlinear attachment is an essentially nonlinear device and functions as a nonlinear energy sink. The nonlinear attachment attaches to the primary system or primary structure as a module and does not require connection to a ground. The energy is irreversibly pumped from the primary system or primary structure to the nonlinear attachment during transient resonance capture between the nonlinear attachment and the primary system or primary structure. The nonlinear attachment attenuates the energy of the primary system or primary structure. The nonlinear attachment locally confines the energy and/or dissipates the energy through a passive means and/or an active means.