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research-article

Targeted Energy Transfer from one acoustical mode to an Helmholtz resonator with nonlinear behavior

[+] Author and Article Information
Emmanuel Gourdon

corresponding author, Univ Lyon, ENTPE, LTDS UMR CNRS 5513 rue Maurice Audin, F-69518 Vaulx-en-Velin, France
emmanuel.gourdon@entpe.fr

Alireza Ture Savadkoohi

Member of ASME, Univ Lyon, ENTPE, LTDS UMR CNRS 5513 rue Maurice Audin', F-69518 Vaulx-en-Velin, France
alireza.turesavadkoohi@entpe.fr

Valentin Alamo Vargas

Univ Lyon, ENTPE, LTDS UMR CNRS 5513, rue Maurice Audin F-69518 Vaulx-en-Velin, France
valentin.alamovargas@entpe.fr

1Corresponding author.

ASME doi:10.1115/1.4039960 History: Received December 21, 2017; Revised April 05, 2018

Abstract

Targeted energy transfer from one acoustical mode to an Helmholtz resonator with nonlinear behavior is studied. For the Helmholtz resonator, 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 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.

Copyright (c) 2018 by ASME
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