Abstract |

**On the Coupling Between Successive
Nonlinear Acoustic Resonance**

*S.Frikha, M.Ayadi (Laboratoire de
Mecanique Physique, Saint Cyr l'Ecole , France)*

*e-mail:
frikha@ccr.jussieu.fr*

This
contribution investigates the finite amplitude standing wave generated in a
closed pipe by a transient source when its instantaneous frequency varies and
successively meets a set of resonance frequencies. This situation is typically
encountered when dealing with accelerating or a decelerating alternative
machines. The piping systems to these machines at their inlet and/or outlet are
commonly subjected to highly transient source whose may excite several
resonance frequencies. Based on the well known nonlinear Burgers equation
governing nonlinear propagation in viscous media, a new updated incident wave
schema is developed and its efficiency to compute the nonlinear resonance modes
of a closed tube is demonstrated. This schema is then used to investigate the
coupling between successive resonance modes. The obtained results show that a
part of the energy of a given eigenmodes is transferred to the previous ones
and so sustains them. This gives rise to a dense high frequency contents.

Section
: 1