title: The energy method for analyzing the piezoelectric electroacoustic transducers.
abstract: 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.
authors.affiliation: Acoustic Research Laboratory, Advanced Technology and Manufacturing Center and Department of Electrical and Computer Engineering, the University of Massachusetts, Dartmouth, North Dartmouth, Massachusetts 02747-2300, USA.
authors.forename: Boris
authors.initials: B
authors.lastname: Aronov
mesh_terms: D000162:Acoustics / Q000295:instrumentation*; D004558:Electric Stimulation / Q000295:instrumentation; D006801:Humans; D008962:Models, Theoretical; D013814:Thermal Conductivity; D014159:Transducers