Modeling the Piezoelectric Cantilever Resonator with Different Width Layers.

Area of Science:

• Microelectromechanical Systems (MEMS)
• Materials Science
• Solid State Physics

Background:

• Piezoelectric cantilever resonators are vital components in various applications due to their design and integration ease.
• Existing models for tip displacement and resonance frequency are limited to uniform width layers.
• Accurate characterization is crucial for optimizing resonator performance.

Purpose of the Study:

• To develop a novel model for predicting tip displacement and resonance frequency in piezoelectric cantilever resonators with varying layer widths.
• To validate the model's accuracy against simulations and experimental data.
• To demonstrate the model's utility as a design tool.

Main Methods:

• Development of a new analytical model for piezoelectric cantilever resonators.
• Comparison of model predictions with finite element method (FEM) simulations.
• Experimental validation of the model using fabricated resonators.

Main Results:

• The proposed model shows good agreement with FEM simulations and experimental measurements.
• Tip displacement error is within 6%.
• Errors for first, second, and third-order resonance frequencies are 1.63%, 1.18%, and 0.51%, respectively.

Conclusions:

• The novel model accurately characterizes piezoelectric cantilever resonators with different width layers.
• The model is a valuable design tool for specifying tip displacement and resonance frequency.
• The model can be extended to more complex multilayered structures and doubly clamped beams.