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Theoretical modeling and modal analysis of multi-element coupled transducers
Hao Sun1,2,3, Yu Lan1,2,3, Wei Lu1,2,3
1National Key Laboratory of Underwater Acoustic Technology, Harbin Engineering University, Harbin 150001, China.
The Journal of the Acoustical Society of America
|January 22, 2025
Summary
This study introduces a theoretical model for multi-element coupled transducers (MCTs), revealing how element spacing affects resonance frequencies and vibration modes in low-frequency acoustic arrays.
Area of Science:
- Acoustics
- Transducer Technology
- Array Signal Processing
Background:
- Low-frequency transducers are often smaller than their operating wavelength.
- Close packing of these transducers leads to acoustic coupling through the surrounding medium.
- This coupling forms multi-element coupled transducer (MCT) structures.
Purpose of the Study:
- To develop a theoretical model for MCTs based on radiation and mutual radiation theory.
- To analyze the resonance frequencies and vibration modes of MCTs.
- To understand the influence of element spacing on transducer behavior.
Main Methods:
- Developed a theoretical model for MCTs using radiation and mutual radiation principles.
- Analyzed MCTs with N single-degree-of-freedom elements.
- Utilized finite element analysis (FEA) for validation.
- Conducted experimental measurements on binary and ternary coupled transducer prototypes.
Main Results:
- The MCT model predicts N resonance frequencies and corresponding vibration modes.
- Resonance frequency is shown to be dependent on the spacing between transducer elements.
- Varying vibration amplitudes and in-phase/anti-phase combinations were observed across different modes.
- Theoretical predictions showed strong agreement with FEA and experimental results.
Conclusions:
- The developed theoretical model accurately describes the behavior of MCTs.
- The model enhances understanding of acoustic transducer interactions in coupled systems.
- This work provides a foundation for optimizing the design of low-frequency acoustic arrays.
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