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Communication Dans Un Congrès Année : 2022

A Passive Nonlinear Three-Port Junction Model For Fluid Mechanics and Acoustics

Fabrice Silva

Résumé

Wind instruments can be seen as a main bore along which lateral holes are connected by the means of a three-port cavity called a junction. Here, we introduce a passive and physically interpretable model of a junction allowing for the connection of 3 resonators. It is build on a set of geometrical, fluid mechanical and thermodynamic hypotheses and uses a lumped parameter approach. The cavity is approximated by a 2D cartesian volume in which the volumetric mass density is homogeneous. From these hypotheses, we build a fluid mechanical macroscopic model, the passivity of which is guaranteed by the use of the port-Hamiltonian framework. The junction model is interpreted using a nonlinear equivalent electrical circuits and a state-space representation. From this base model, we build five different versions ranging from fluid mechanics to linear acoustics by the means of a shift method, preserving nonlinearities, and approximations (mass convection, behaviour law of the fluid).
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Dates et versions

hal-03789267 , version 1 (27-11-2022)

Identifiants

  • HAL Id : hal-03789267 , version 1

Citer

Victor Wetzel, Thomas Hélie, Fabrice Silva. A Passive Nonlinear Three-Port Junction Model For Fluid Mechanics and Acoustics. Congrès Français d'Acoustique, Apr 2022, Marseille, France. ⟨hal-03789267⟩
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