S. Alkoy et al., MINIATURE PIEZOELECTRIC HOLLOW SPHERE TRANSDUCERS (BBS), IEEE transactions on ultrasonics, ferroelectrics, and frequency control, 44(5), 1997, pp. 1067-1076
Miniature piezoelectric transducers were prepared from millimeter size
hollow spheres which were formed from PZT-BA powder slurries using a
coaxial nozzle process. After sintering, the spheres were poled in two
ways: radially and tangentially. Principal modes of vibration were fo
und to be a breathing mode near 700 kHz and a thickness mode near 13 M
Hz for the radially poled spheres, and an ellipsoidal, a circumferenti
al, and a breathing mode near 230, 350, and 700 kHz, respectively, for
tangentially poled spheres. Coupled modes were also observed at highe
r frequencies. These same modes with similar frequencies were obtained
from finite element analysis using the ATILA FEM code, and experiment
al results were shown to be consistent with the modeling study. Hydros
tatic d(h) coefficients ranged between 700 and 1,800 pC/N; which is co
nsiderably higher than the d(h) of bulk PZT. The hydrophone figure of
merits (d(h) g(h)) were calculated to be between 68,000 and 325,000
10(-15)m(2)/N for various types of poled spheres. These values are t
hree orders of magnitude higher than the bulk PZT figure of merit. Pot
ential applications include ultrasonic imaging, nondestructive testing
, and hydrophones.