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Three-dimensional coupled vibration of the rectangular piezoelectric ceramic stack.

Liqing Hu1, Cheng Chen1, Shuyu Lin1

  • 1Shaanxi Key Laboratory of Ultrasonics, Institute of Applied Acoustics, Shaanxi Normal University, Xi'an 710119, China.

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Summary
This summary is machine-generated.

This study analyzes the coupled vibration of rectangular piezoelectric ceramic stacks using an approximate analytical method. The findings provide theoretical support for enhancing piezoelectric vibrator applications.

Keywords:
Mechanical coupling coefficientRectangular piezoelectric ceramic stackResonance frequencyThree-dimensional coupled vibration

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Area of Science:

  • Materials Science
  • Mechanical Engineering
  • Electrical Engineering

Background:

  • Piezoelectric ceramic stacks are crucial components in various electronic devices.
  • Understanding their coupled vibration is essential for optimizing performance.
  • Existing models often simplify complex three-dimensional behavior.

Purpose of the Study:

  • To develop an analytical method for three-dimensional coupled vibration of rectangular piezoelectric ceramic stacks.
  • To establish an electromechanical equivalent circuit for these stacks.
  • To investigate the influence of stack dimensions on resonance frequencies.

Main Methods:

  • Adoption of the equivalent elastic method for approximate analytical modeling.
  • Simplification of three-dimensional vibration into three one-dimensional coupled vibrations.
  • Derivation of a resonance frequency equation and establishment of a 3D electromechanical equivalent circuit.

Main Results:

  • A resonance frequency equation was derived, enabling calculation of different vibration modes.
  • Analysis revealed the impact of length, width, and thickness on resonance frequency.
  • Theoretical results closely matched experimental and simulation data.

Conclusions:

  • The developed analytical method accurately predicts the coupled vibration of rectangular piezoelectric ceramic stacks.
  • The study provides a theoretical foundation for the design and application of piezoelectric vibrators.
  • The findings support the expansion of piezoelectric vibrator applications in diverse fields.