Dynamic characteristics of piezoelectric cylindrical transducers with radial polarization

Wave propagation in a piezoelectric solid bar of circular cross-section immersed in fluid

“…(9), we obtain j ¼ A 4 J n ða 4 axÞsin nq (15) where ða 4 aÞ 2 ¼ U 2 À z 2 . If ða 4 aÞ 2 < 0, the Bessel function J n is replaced by the modified Bessel functionI n .…”

“…Later Botta and Cerri [14] extended this approach and compared their results with those in which the effect of variable electric potential was not considered. Kim and Lee [15] studied piezoelectric cylindrical transducers with radial polarization and compared their results with those obtained experimentally and numerically by the finiteelement method. The wave propagation in elastic solid has been discussed extensively in details by Graff [16] and Achenbach [17].…”

Measurements of Radial In-plane Vibration Characteristics of Piezoelectric Disk Transducers

“…In some cases the shape is cylindrical or spherical. Piezoelectric cylindrical or spherical transducers with radial polarization have resonance characteristics determined by their thickness and curvature (13,14) . Torsional transducers made of piezoelectric disks polarized in the circumferential direction have resonance characteristics determined by thickness (15) .…”

Controlling the dynamic behavior of piezoceramic cylinders by cross-section geometry

“…Descriptions of the piezoelectric effect and fundamentals for the modeling of the dynamic behavior of piezoelectric components are given, in particular, in classical works of Tiersten [1], Berlincourt et al [2], Maugin [3], and Parton and Kudryavtsev [4]. Many applications of piezoelectric devices are described by Uchino [5,6], Benes et al [7], and Drinkwater and Wilcox [8]; additional references can be found in some recent articles [9][10][11][12].…”