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Published on: February 20, 2019
Dynamic Modeling and Structural Optimization of a Partially Laminated Piezoelectric-Metal-Piezoelectric Actuator
Xingen Kuang1, Cuiying Fan1, Zhi Li1
1School of Mechanics and Safety Engineering, Zhengzhou University, Zhengzhou 450001, China.
Nanomaterials (Basel, Switzerland)
|May 12, 2026
Summary
This study presents a dynamic model for piezoelectric-metal-piezoelectric (PMP) beam actuators, offering analytical solutions for natural frequency and displacement. The model is validated experimentally, guiding PMP actuator design for precision motion control.
Area of Science:
- Mechanical Engineering
- Materials Science
- Applied Physics
Background:
- Piezoelectric actuators are crucial for precision motion control due to their electromechanical coupling.
- Existing models may not fully capture the behavior of partially laminated piezoelectric actuators.
Purpose of the Study:
- To establish a dynamic model for a partially laminated piezoelectric-metal-piezoelectric beam actuator.
- To derive analytical solutions for natural frequency and output displacement.
- To validate the model through finite-element analysis and experimental testing.
Main Methods:
- Euler-Bernoulli beam theory applied to a segmented beam model.
- Symmetric bonding of piezoelectric layers to a metal substrate.
- Continuity conditions at varying cross-section interfaces.
- Analytical derivation of natural frequency and displacement.
- Validation using finite-element analysis and experimental voltage-displacement response.
Main Results:
- An analytical dynamic model for the piezoelectric-metal-piezoelectric actuator was successfully established.
- Accurate analytical solutions for natural frequency and output displacement were derived.
- The model's predictions were validated against finite-element results and experimental data.
- The influence of geometric parameters on dynamic performance was systematically analyzed.
Conclusions:
- The developed analytical model accurately predicts the dynamic behavior of partially laminated PMP actuators.
- The study provides theoretical insights for optimizing resonance characteristics and displacement in PMP actuator design.
- This research offers valuable guidance for the development of advanced precision motion control systems.

