We examined the static axial displacement of a ceramic d(31)-gradient flext
ensional transducer both experimentally and theoretically, Two lead zircona
te titanate systems, (PZT)/PZT and PZT/ZnO, were studied. The PZT/PZT trans
ducers consisted of two PZT layers of different d(31) coefficients. The PZT
/ZnO transducers consisted of a PZT and a ZnO layer. The PZT/PZT transducer
s were of an inner-type dome structure. The PZT/ZnO transducers were either
nat, or had an inner- or outer-type dome structure by varying the thicknes
s ratio between the two layers or the Sb2O3 content in the ZnO layer. An in
ner (outer)-type transducer has the large-d(31) layer on the inside (outsid
e) of the dome structure. For the PZT/PZT transducers, the axial displaceme
nt varied with the thickness ratio and reached a maximum when the two layer
s had similar thickness, in agreement with the calculations, With a conduct
ive nonpiezoelectric layer, the PZT/ZnO transducers had higher axial displa
cements, which varied with the thickness ratio and the Sb2O3 content, than
the PZT/PZT transducers. With 6 wt% Sb2O3, the transducers were flat and th
e measured displacements at various thickness ratios were similar to the ca
lculated values. With 4 wt% Sb2O3, the transducers were of an outer type. T
he measured axial displacements were about twice the calculated values, sug
gesting an enhanced d(31) value because of the tensile bending stress in th
e PZT layer, The scaled axial displacements of the PZT/ZnO transducers with
4 wt% Sb3O2 were comparable to that of the Rainbow transducers. With 8 wt%
Sb3O2, the displacements of transducers with thin PZT layers (less than or
equal to0.3 mm) were lower than the calculated values because of increased
conductivity in the PZT layer.