A new type of bimorph-based piezoelectric air transducer with the work
ing frequency range of 200-1000 Hz has recently been developed [B. Xu,
Q. Zhang, V.D. Kugel, L.E. Cross, Piezoelectric air transducer for ac
tive noise control, Proc. SPIE, 2717 (1996) 388-398]. In the present w
ork, basic acoustic characteristics of this device and its piezoelectr
ic elements are analyzed. To model the vibration spectrum of the trans
ducer, a one-dimensional approach is developed where inertia, elastic
and damping forces are included. Analytical equations describing mecha
nical vibrations and electrical impedance of piezoelectric bimorph can
tilevers under external forces are derived. In order to describe vario
us losses in the transducer, complex piezoelectric, dielectric, and el
astic constants are used. Results of the modeling are in good accord w
ith experimental data. The suggested model can be used for device opti
mization. (C) 1998 Elsevier Science S.A. All rights reserved.