PVDF Cylindrical Electroacoustic Emitting Transducer with Perforated Back-plate: Simplified Analytical Approach

The objective of the paper is to provide a simplified analytical approach to describe the behaviour of a cylindrical emitting transducer with a piezoelectric polymer (PVDF) membrane which is loaded by a thin air-gap connected to a small central toroidal cavity through small holes in a back-plate. This paper departs from a previous one in that the presence of a perforated back-plate separates the volume behind the membrane in two parts (the air-gap and the central cavity); it departs also in that the construction of the analytical solutions is not made in terms of eigenmodes of both the membrane and the air-gap (as usual) in order to avoid difficulties due to the coupling of Dirichlet and Neumann eigenfunctions (exact solutions are used, involving integral formulation for one of them).