BTech Acoustics (United States)

Subjecting soft piezoelectric ceramics such as lead zirconate titanate (PZT)-5 to uniaxial stress in a direction perpendicular to the principal polarization axis is known to increase its transverse piezoelectric modulus [Krueger, J. Acoust. Soc. Am. 43 (3), 583-559 (1968)], however, practical transducer applications of this effect remain undeveloped. This study explores uniaxial pressure-treatment to develop experimental methods to realize practical pressure treatment, to use dynamic measurements of the electromechanical coupling coefficient k32, piezoelectric modulus, and dielectric constants, and to enhance piezoelectric properties and performance of underwater acoustic cylindrical transducer designs. The results of axial pressure treatment on parameters of the cylinders are shown to increase the coupling coefficient by about 20% and remained stable. The applicability of using pressure treated cylinders in transducer designs is investigated. The performance was analyzed under one-dimensional circumferential static compression and under the hydrostatic compression. When the improved piezoelectric cylinders are used in air-backed transducer designs, the benefit is only useful at shallow depths as it is observed that when subjected to increased hydrostatic pressure, the corresponding induced circumferential stress reduces the piezoelectric properties, namely, the coupling coefficient, to approximately its original pre-treated value. However, when the improved cylinders are used in transducers of the pressure-equalized design, such as liquid filled or free-flooded, the increase in coupling coefficient remains stable with environmental hydrostatic pressure.

The energy method of calculating the properties of piezoelectric electroacoustic transducers is considered. The Lagrangian of an electroacoustic transducer as a system performing multiple energy conversions is introduced. The Euler equations describing operation of a transducer with many mechanical degrees of freedom are derived from the least action principle. The corresponding multicontour equivalent circuit of the transducer is introduced. For the particular case of a transducer having one mechanical degree of freedom the governing equations are obtained by applying the Energy Conservation Law, and equivalent circuit with one mechanical branch also introduced. Application of the energy method is illustrated with examples of the pulsating spherical transducer as the one degree of freedom system and the multimode cylindrical transducer comprised of circular rings as the system with multiple degrees of freedom. Advantages of the method for application with electroacoustic transducers are summarized.