Related Experiment Video
Updated: Jul 7, 2026

Investigating the Potential of Singly Curved Thin Piezoelectric Transducers for Energy Harvesting and Structural Health Monitoring
Published on: November 14, 2025
A coupled-mode theory for periodic piezoelectric composites
F Craciun1, L Sorba, E Molinari
1Istituto di Acustica, CNR, Rome.
This study proposes a coupled oscillator model for piezoelectric composite plates, crucial for ultrasonic transducers. The model accurately predicts resonance frequencies by coupling thickness and lateral resonances, offering a criterion to prevent interference.
Area of Science:
- Materials Science
- Acoustics
- Solid State Physics
Background:
- Piezoelectric composite plates are essential components in ultrasonic transducers.
- Understanding their resonance spectrum is critical for optimizing transducer performance.
- Existing models may not fully capture the complex interplay of different resonant modes.
Purpose of the Study:
- To develop a coupled oscillator model for calculating the resonance spectrum of 1D piezoelectric composite plates.
- To analyze the coupling between thickness resonance and lateral resonance.
- To establish a criterion for phase distribution to avoid spurious lateral resonances near thickness resonance.
Main Methods:
- A coupled oscillator model was developed.
- The Kronig-Penney model was employed to calculate lateral resonances.
- An effective medium model was used to determine thickness resonance.
- A biquadratic equation described the coupling between the two modes.
Main Results:
- The model successfully calculates the resonance spectrum of the piezoelectric composite plate.
- The coupling of thickness and lateral resonances is accurately described by a biquadratic equation.
- A criterion was derived to prevent spurious lateral resonances from interfering with thickness resonance.
Conclusions:
- The proposed coupled oscillator model provides an effective method for analyzing piezoelectric composite plate resonances.
- The findings are crucial for the design and optimization of ultrasonic transducers.
- The derived criterion aids in achieving desired resonance characteristics by managing mode interference.
Related Concept Videos
Relation between Poisson's ratio, Modulus of Elasticity and Modulus of Rigidity
Bending of Members Made of Several Materials
Hooke's Law determines stress in each material, stating that stress is proportional to strain but varies due to each material's...
Elastic Strain Energy for Shearing Stresses
Modes of Standing Waves - I
Generalized Hooke's Law
Standing Waves in a Cavity
