Axisymmetric vibrations of radially polarized piezoelectric ceramic cylinders

✍ Scribed by N.T. Adelman; Y. Stavsky; E. Segal

• Publisher: Elsevier Science
• Year: 1975
• Tongue: English
• Weight: 393 KB
• Volume: 38
• Category: Article
• ISSN: 0022-460X
• DOI: 10.1016/s0022-460x(75)80008-3

✦ Synopsis

Electroelastic equations are established for the axisymmetric vibrations of radially polarized piezoelectric ceramic long tubes, whose cylindrical surfaces are electroded and subjected to an alternating voltage. Closed-type solutions are obtained for the mechanical radial displacement and electric potential in terms of Bessel and Lommel functions. The characteristic determinantal equations for the resonant and anti-resonant frequencies are derived and solved numerically for PZT-4 transducers subject to various types of boundary conditions. Electromechanical coupling factors are shown to be very sensitive to the ratio of inner/outer radii and to the class of boundary conditions employed.