The energy method for analyzing the piezoelectric electroacoustic transducers

Area of Science:

• Acoustics
• Electrical Engineering
• Materials Science

Background:

• Piezoelectric electroacoustic transducers are vital for energy conversion.
• Existing methods for analyzing transducer properties can be complex, especially for systems with multiple degrees of freedom.

Purpose of the Study:

• To develop and present a unified energy method for calculating the properties of piezoelectric electroacoustic transducers.
• To introduce a Lagrangian formulation and derive governing equations from fundamental principles.
• To establish equivalent circuit representations for transducers with varying mechanical complexities.

Main Methods:

• Introduction of the Lagrangian for electroacoustic transducers.
• Derivation of Euler equations from the principle of least action for multi-degree-of-freedom systems.
• Application of the Energy Conservation Law for single-degree-of-freedom systems.
• Development of multicontour and single-branch equivalent circuits.

Main Results:

• The energy method provides a systematic approach to transducer analysis.
• Governing equations and equivalent circuits are derived for both single and multiple degrees of freedom.
• The method is validated using examples of pulsating spherical and multimode cylindrical transducers.

Conclusions:

• The energy method offers a powerful and versatile tool for analyzing piezoelectric electroacoustic transducers.
• This approach simplifies the modeling of complex transducer systems.
• The derived equivalent circuits facilitate practical engineering applications.