ASA 125th Meeting Ottawa 1993 May

2pEA1. Deflections and vibrations of the unimorph flexural disk transducer.

Daniel M. Warren

L. Dwynn Lafleur

F. Douglas Shields

Natl. Ctr. for Phys. Acoust., Coliseum Rd., University, MS 38677

Previously, a simple electroacoustic model of a transducer constructed of flexural mode piezoelectric disks [Warren et al., J. Acoust. Soc. Am. 91, 2325 (A) (1992)] and a derivation of the governing differential equations for the flexural disk as a layered piezoelectric plate [Warren et al., J. Acoust. Soc. Am. 92, 2292 (A) (1992)] have been presented. In the current work, solutions of the differential equations are sought for static deflections and dynamic vibrations, under a variety of boundary conditions. The technique used to treat laminated plates with lamina of differing radii, of which unimorphs are examples, is emphasized. The results are compared to the classic theories [S. Hanish, NRL Rep. 5259 (1959) and R. S. Woollett, USL Res. Rep. 490 (1960)] of which this work is an extension. [Work supported by ONR.]