Equivalent Circuit to Analyze the Transmitting Characteristics of a Cymbal Array

Area of Science:

• Acoustics
• Materials Science
• Electrical Engineering

Background:

• Cymbal transducers, composed of piezoceramic disks and metallic caps, exhibit broadband characteristics in array configurations.
• The finite element method (FEM) is a standard but time-consuming tool for analyzing acoustic transducer arrays, limiting efficiency for larger models.

Purpose of the Study:

• To develop a more efficient and accurate equivalent circuit model for analyzing the performance of cymbal transducer arrays.
• To provide a computational tool that overcomes the time and scalability limitations of FEM for cymbal array analysis.

Main Methods:

• A novel equivalent circuit model was formulated by paralleling individual cymbal transducer circuits.
• A radiation impedance matrix, incorporating self- and mutual radiation, was integrated into the array circuit model.
• Experimental validation was performed by measuring the transmitting voltage response of a physical cymbal array specimen.

Main Results:

• The proposed equivalent circuit demonstrated high accuracy comparable to FEM analysis.
• The model successfully predicted the performance characteristics of the cymbal array.
• Experimental results validated the efficiency and accuracy of the developed equivalent circuit.

Conclusions:

• The new equivalent circuit model provides an efficient and accurate method for analyzing cymbal transducer arrays.
• This approach significantly reduces analysis time compared to FEM, facilitating the design of large cymbal transducer arrays.
• The validated model is expected to accelerate the development and optimization of cymbal transducer array systems.