An equivalent circuit based electro-vibro-acoustic model of a cylindrical transducer array

Area of Science:

• Acoustics
• Electrical Engineering
• Array Signal Processing

Background:

• Cylindrical transducer arrays are crucial for SONAR, depth sounding, and ultrasound imaging.
• Accurate modeling is essential for optimizing array performance.

Purpose of the Study:

• To develop an accurate and computationally efficient equivalent circuit (EC)-based model for cylindrical transducer arrays.
• To incorporate theoretical acoustic coupling into the EC model.

Main Methods:

• Constructed an electro-mechanical-acoustic coupling impedance matrix.
• Obtained individual transducer impedances using the EC model.
• Calculated acoustic radiation impedances theoretically.
• Coupled the EC model with acoustic radiation impedances.
• Utilized an acoustic transfer matrix for near-field and far-field response analysis.

Main Results:

• The model accurately represents transducer array characteristics, including electrical admittance and velocity response.
• Beam patterns and normalized pressure curves were determined.
• Analysis results showed strong agreement with finite element models.
• The EC-based model demonstrated high accuracy and computational efficiency.

Conclusions:

• The proposed EC-based model provides an accurate and efficient method for analyzing cylindrical transducer arrays.
• This model is suitable for the conceptual design phase, facilitating rapid design iterations.
• The model aids in understanding and predicting the acoustic performance of these arrays.