Excitation of multi-modes of vibration using tangentially polarized thin walled cylinders

Abstract

Tangentially polarized thin-walled striped-electroded piezoelectric cylindrical transducers are used in several electromechanical and electroacoustic applications. Previously, we have reported the study of tangential polarization in bars vibrating in flexure [J. Acoust. Soc. Am. 133 , 2661 (2013)] and on bars and cylinders vibrating in extension [J. Acoust. Soc. Am. 132, 3068 (2012)]. This study is an extension of the previous work and involves the study of electromechanical excitation of multi-modes of vibration using tangentially polarized cylinders. A numerical finite difference method (FDM) was used to analysis the nonuniform electric field in the tangentially polarized cylinder under the assumption that the piezoelectric element is fully polarized. The electromechanical properties such as the effective electromechanical coupling coefficient k 3'3eff , effective piezoelectric modulus d 3'3eff , the effective compliance s E 3'3eff , and effective relative dielectric constant K3'3eff were calculated for a tangentially polarized cylinder exciting multi-mode and compared with the results of traditional design using transverse piezoelectric effect.