Targeted Energy Transfer From One Acoustical Mode to an Helmholtz Resonator With Nonlinear Behavior
Résumé
Targeted energy transfer from one acoustical mode to a Helmholtz resonator (HR) with
nonlinear behaviors is studied. For the HR, nonlinear restoring forces and nonlinear
damping are taken into account. A time multiple scale method around a 1:1 resonance is
used to detect slow invariant manifold (SIM) of the system, its equilibrium and singular
points. Analytical predictions are compared with those which are obtained by direct
numerical integration of system equations. Experimental verifications are performed and
presented for free and forced vibrating system.