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Sensitivity of Piezoelectric Stack Actuators.

Xishan Jiang1, Jing Zheng1, Ning Wang1

  • 1Department of Instrument Science and Engineering, Zhejiang University, Hangzhou 310027, China.

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Summary

This study analyzes piezoelectric actuator sensitivity, revealing nonlinear dynamics can be modeled as two subsystems. Maximum sensitivity is achieved when input voltage frequency matches the mechanical subsystem

Keywords:
nonlinear hysteresis effectpiezoelectric stack actuatorsensitivity analysis

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Area of Science:

  • Mechanical Engineering
  • Materials Science
  • Electrical Engineering

Background:

  • Piezoelectric actuators exhibit nonlinear hysteresis, complicating their dynamic analysis.
  • Understanding actuator sensitivity is crucial for precise control and application design.

Purpose of the Study:

  • To investigate the sensitivity of a mass-attached piezoelectric stack actuator.
  • To analyze the nonlinear dynamics and develop an analytical model for piezoelectric actuators.

Main Methods:

  • Defining sensitivity as the force spectrum output from a single-frequency voltage input.
  • Modeling nonlinear dynamics as a cascade of nonlinear hysteresis and linear mechanical subsystems.
  • Deriving analytical solutions for nonlinear differential equations.

Main Results:

  • Nonlinear transformation maps single-frequency input to multiple-frequency output (driving frequency and odd harmonics).
  • Steady-state sensitivity depends on the mechanical subsystem's response to the force spectrum.
  • Maximum sensitivity occurs near the mechanical subsystem's natural frequency.

Conclusions:

  • The proposed analytical model accurately describes piezoelectric actuator nonlinear dynamics.
  • The model is validated by numerical simulations and experimental data.
  • This framework aids in the analysis and design of various piezoelectric actuator configurations.