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Modeling and Characterization of Multilayer Piezoelectric Stacks via Dynamic Stiffness Method.

Wenxiang Ding1, Zhaofeng Liang1, Wei Zhao1

  • 1School of Mechanical and Electrical Engineering, Shenzhen Polytechnic University, No. 7098, Liuxian Avenue, Shenzhen 518055, China.

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Summary

A new dynamic stiffness (DS) method analyzes vibrations in multilayer piezoelectric stacks. This efficient approach accurately models coupled vibrations for design optimization.

Keywords:
dynamic stiffness methodelectrical impedancefinite element methodmode shapemultilayer piezoelectric stack

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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.