(1) Institut Préparatoire aux Etudes dIngénieurs de Sfax, Tunisia;(2) Laboratoire des Systèmes ElectroMécaniques (LASEM), Tunisia;(3) Laboratoire Roberval, Université de Technologie de Compiègne, Compiégne Cedex, France
Abstract:
A variational formulation for a vibroacoustic problem of a membrane and a viscothermal fluid is investigated in this paper. The formulation combines a variational formulation by integral equations of the fluid, that takes into account the acoustic and entropic waves coupling, with a variational formulation of the membrane. The formulation has been implemented numerically for the problems with axisymmetric geometry. The numerical results are compared to the analytical solution for a circular membrane coupled to a cylindrical cavity filled with air. These results show the validity of numerical implementation and illustrate the thermal effects of air on the membrane-cavity system modes in the micro cavities cases.