Modeling and Characterization of Multilayer Piezoelectric Stacks via Dynamic Stiffness Method

Area of Science:

• Mechanical Engineering
• Materials Science
• Vibrational Analysis

Background:

• Multilayer piezoelectric stacks are crucial for precise linear motion and high force generation.
• Accurate dynamic vibration analysis is essential for optimizing piezoelectric stack performance.

Purpose of the Study:

• To present a novel dynamic stiffness (DS) method for analyzing the dynamic vibrations of multilayer piezoelectric stacks.
• To provide an efficient and accurate analytical tool for parametric and optimization studies.

Main Methods:

• Derivation of general solutions for pure, symmetrically coupled, and anti-symmetrically coupled vibrations from governing equations of motion.
• Calculation of dynamic stiffness (DS) matrices for individual layers and assembly into a global DS matrix.
• Validation against the finite element method for electrical impedances and mode shapes.

Main Results:

• The proposed DS method accurately predicts the dynamic behavior of multilayer piezoelectric stacks.
• Good agreement was observed between the DS method and finite element analysis results.
• The study investigated the impact of the number of layers on dynamic responses.

Conclusions:

• The developed dynamic stiffness method is an effective analytical tool for multilayer piezoelectric structures.
• This method facilitates parametric and optimization analysis of coupled vibrations.
• The findings contribute to the improved design and application of piezoelectric devices.