Identification of the parameters of a simplified 2 degree of freedom model of a nonlinear vibroacoustic absorber coupled to an acoustic system in linear and nonlinear forced regimes

This article presents a method for identifying the parameters of simplified 2 degree freedom model representative linear primary system coupled to non-linear absorber in forced harmonic regime over wide range amplitudes and forcing frequencies covering different dynamical regimes. is priori difficult operation because it necessary combine two apparently contradictory steps. The first step consists establishing models representing physics which are analytically soluble, imposes severe approximations. second adjusting experimental data, reveal some phenomena ignored by models. To do so, approximate analytic methods, Harmonic Balance Complexification Averaging under 1:1 resonance, used describe dynamics nonlinear its operating regimes: behavior, behavior without energy pumping, saturation regime. Then, using regression, identified from experiments. values obtained correspond expected physical quantities.