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Updated: Jul 7, 2026
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Fabrication and Characterization of Thickness Mode Piezoelectric Devices for Atomization and Acoustofluidics
Published on: August 5, 2020
Coupled mode theory for nonlinear piezoelectric plate vibrations
Summary
This study presents coupled-mode equations for piezoelectric resonators, enabling nonlinear dynamic analysis. Experiments validate the theoretical amplitude-driving voltage relationship for lithium niobate resonators.
Area of Science:
- Physics
- Materials Science
- Electrical Engineering
Background:
- Piezoelectric plate resonators are crucial in electronic devices.
- Understanding their nonlinear vibrational behavior is essential for advanced applications.
- Existing models may not fully capture complex dynamics.
Purpose of the Study:
- To develop coupled-mode equations for thickness-longitudinal vibrations in piezoelectric plate resonators.
- To analyze piezoelectric resonators as parametrically excited nonlinear systems.
- To investigate resonator behavior near primary resonance using nonlinear dynamics.
Main Methods:
- Derivation of coupled-mode equations for a two-degree-of-freedom system.
- Application of the method of multiple scales to solve the nonlinear equations.
- Experimental verification using lithium niobate (LiNbO3) resonators.
Main Results:
- The derived equations accurately describe piezoelectric resonators as nonlinear systems.
- The method of multiple scales successfully predicted resonator behavior near primary resonance.
- Experimental results confirmed the theoretical amplitude-driving voltage relationship.
Conclusions:
- The developed coupled-mode equations provide a robust framework for nonlinear analysis of piezoelectric resonators.
- Nonlinear dynamics offer valuable insights into the operational characteristics of these devices.
- The findings are applicable to the design and optimization of piezoelectric resonator-based technologies.
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