Targeted energy transfer in systems with non-polynomial nonlinearity

Targeted energy transfer (TET) in a 2dof system consisting of primary linear oscillator and nonlinear energy sink (NES) with non-polynomial potential is investigated. Use of non-polynomial and even non-analytic potential functions is motivated by needs of practical design. It is demonstrated that the “complexification–averaging” technique of analysis developed before can be successfully extended for these cases with proper modifications. The procedure is illustrated by examples involving softening (non-polynomial) and piecewise-linear (non-analytic) NES.