INFLUENCE OF THE VISCOTHERMAL EFFECTS ON THE VIBROACOUSTIC BEHAVIOR OF A DOUBLE PLATES SYSTEM

Document Type : Original Article

Authors

1 Graduate student, Mechanics Modelling and Production Research Unit. National School of Engineers of Sfax, Tunisia.

2 Associate professor, Mechanics Modelling and Production Research Unit. National School of Engineers of Sfax, Tunisia.

3 Professor, Mechanics Modelling and Production Research Unit. National School of Engineers of Sfax, Tunisia.

Abstract

ABSTRACT
In this work, a numerical modeling to study the vibro-acoustic behavior of a double plate
system (such as double glazing system) taking into account of viscosity and the thermal
conductivity of the fluid between the two plates in the acoustic equations, is presented.
The dynamic equations of the coupled system are established. To solve these
equations, a variational formulation for the fluid and the two plates is developed. The
discretization by the finite element method of this variational formulation gives after
minimization a symmetrical coupled matrix system with nonlinear aspect. An iterative
procedure is derived to determine the eigenmodes of the coupled system. The modal
approach is adopted to determine the vibro-acoustic system’s response which
numerical results show the importance of the viscothermal effects in the case of thin
fluid layers.

Keywords