Finite element analysis of an earmuff-earcanal system
Keywords:Acoustics, Differential equations, Finite element method, Stiffness matrix, Wave equations, Coupled structure, Earcanal, Earmuff
AbstractThe finite element model (FEM) of an earmuff-earcanal coupled structure-acoustic-cavity system to predict the level of protection for the wearer is discussed. The discretization of the pressure-wave equation by the finite element method leads to differential system of equations depending on fluid mass, stiffness matrix, and nodal pressure vector. The displacement of the structure coincides with the displacement of the acoustic particle while the dynamic equilibrium condition requires the normal force produced by the vibrating structure at the interface. The air cavity created within the ear-cup extends into the ear-canal up to the eardrum which is represented by a specific impedance. The predicted FEM attenuation provided by the earmuff is equal to 12.00 dB which is equal to 12.6 dB. The attenuation of the eanmuff is found to be weak around the first resonant 140 Hz of the coupled system.
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