An accurate analytical expression for predicting the performance of piezoelectric cantilever based actuators and sensors

Ji LIU; Shu-tian LIU; Ren-jing GAO; Li-yong TONG

doi:10.3788/OPE.20182602.0380

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An accurate analytical expression for predicting the performance of piezoelectric cantilever based actuators and sensors

更新时间：2020-07-05

- An accurate analytical expression for predicting the performance of piezoelectric cantilever based actuators and sensors
- Optics and Precision Engineering Vol. 26, Issue 2, Pages: 380-387(2018)
- 作者机构：
  
  1.大连理工大学工业装备结构分析国家重点实验室, 辽宁大连 116024
  2.悉尼大学航空与机械电子工程系, 澳大利亚悉尼 2006
- 作者简介：
- 基金信息：
- DOI：10.3788/OPE.20182602.0380
  CLC： TP394.1;TH691.9
- Received：10 May 2017，
  
  Accepted：07 July 2017，
  
  Published：25 February 2018
- 稿件说明：
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Ji LIU, Shu-tian LIU, Ren-jing GAO, et al. An accurate analytical expression for predicting the performance of piezoelectric cantilever based actuators and sensors[J]. Optics and precision engineering, 2018, 26(2): 380-387.
DOI：

Ji LIU, Shu-tian LIU, Ren-jing GAO, et al. An accurate analytical expression for predicting the performance of piezoelectric cantilever based actuators and sensors[J]. Optics and precision engineering, 2018, 26(2): 380-387. DOI： 10.3788/OPE.20182602.0380.

摘要

三层压电梁结构在电场作用下发生变形后会产生诱发电势，进而改变材料整体电势分布，本文考虑此变形和电势耦合效应，基于欧拉-伯努利梁变形理论，推导出能够准确预测压电智能悬臂梁传感器与驱动器性能的解析表达式。考虑压电梁结构弯曲变形后产生的电场影响，建立了三层压电梁结构的控制方程；建立了压电梁作为驱动器时端部输出位移、驱动力矩与输入电压之间联系的解析表达式，以及作为传感器时输出电压与端部作用力之间联系的解析表达式。通过与ANSYS有限元模拟结果以及传统的驱动器和传感器性能表达式的对比，验证了所推导的解析表达式的准确性。

Abstract

The deformation of the three-layered piezoelectric beam in the electric field will arise the induced potential

and then change the distribution of the whole structural electric potential. Considering the coupling effect of the deformation and potential

the accurate analytical expressions

based on the Euler-Bernoulli beam theory

for predicting the performance of three-layered piezoelectric cantilever actuators and sensors

were derived. In the derivation process

the governing equation of three-layered piezoelectric beam structure was established with considering the effect of the electric field induced by the structural bending deformation

and then two analytical expressions for piezoelectric actuators and sensors were obtained with two different boundary conditions. These two analytical expressions related tip output displacement with driving moment and input voltage for piezoelectric actuators

and input voltage with tip force for piezoelectric sensors

respectively. The accuracy of the present expressions was illustrated by comparison of results obtained from ANSYS finite element simulation and conventional expressions for test problems.

关键词

Keywords

references

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Key Laboratory of Airborne Optical Imaging and Measurement, Changchun Institute of Optics, Fine Mechanics and Physics, Chinese Academy of Sciences

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