基于压电悬臂梁的驱动器与传感器性能分析的精确解析模型

刘骥; 刘书田; 高仁璟; 仝立勇

doi:10.3788/OPE.20182602.0380

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基于压电悬臂梁的驱动器与传感器性能分析的精确解析模型

微纳技术与精密机械 | 更新时间：2020-07-05

- 基于压电悬臂梁的驱动器与传感器性能分析的精确解析模型
- An accurate analytical expression for predicting the performance of piezoelectric cantilever based actuators and sensors
- 光学精密工程 2018年26卷第2期页码：380-387
- 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：
  
  [ "刘骥(1990-), 男, 四川绵阳人, 博士研究生, 2011年于大连理工大学获得学士学位, 主要从事压电智能结构优化设计的研究。E-mail:liuji112@gmail.com" ]
  [ "高仁璟(1964-), 女, 山东烟台人, 博士, 教授, 博士生导师。2011年于大连理工大学获得博士学位, 主要从事电磁超材料、生物传感器、结构健康监测等方面的研究。E-mail:renjing@dlut.edu.cn" ]
- 基金信息：
  
  国家自然科学基金资助项目(11372063);国家自然科学基金资助项目(11572073);国家自然科学基金资助项目(11332004);高等学校学科创新引智计划资助项目(B14013)
- DOI：10.3788/OPE.20182602.0380
  中图分类号： TP394.1;TH691.9
- 收稿日期：2017-05-10，
  
  录用日期：2017-7-7，
  
  纸质出版日期：2018-02-25
- 稿件说明：
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刘骥, 刘书田, 高仁璟, 等. 基于压电悬臂梁的驱动器与传感器性能分析的精确解析模型[J]. 光学精密工程, 2018,26(2):380-387.

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.
刘骥, 刘书田, 高仁璟, 等. 基于压电悬臂梁的驱动器与传感器性能分析的精确解析模型[J]. 光学精密工程, 2018,26(2):380-387. DOI： 10.3788/OPE.20182602.0380.

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.

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Keywords

references

CRAWLEY E F, DE LUIS J. Use of piezoelectric actuators as elements of intelligent structures[J]. AIAA Journal, 1987, 25(10):1373-1385.

ABRAMOVICH H, PLETNER B. Actuation and sensing of piezolaminated sandwich type structures[J]. Composite Structures, 1997, 38(1-4):17-27.

阚君武, 唐可洪, 王淑云, 等.压电悬臂梁发电装置的建模与仿真分析[J].光学精密工程, 2008, 16(1):71-75.

KAN J W, TANG K H, WANG SH Y, et al.. Modeling and simulation of piezoelectric cantilever generators[J]. Opt. Precision Eng., 2008, 16(1):71-75. (in Chinese)

ZHANG X D, SUN C T. Formulation of an adaptive sandwich beam[J]. Smart Materials and Structures, 1996, 5(6):814-823.

董兴建, 孟光.压电悬臂梁的动力学建模与主动控制[J].振动与冲击, 2005, 24(6):54-56, 64.

DONG X J, MENG G. Dynamic modeling and active vibration control of cantilever beam with piezoelectrics[J]. Journal of Vibration and Shock, 2005, 24(6):54-56, 64. (in Chinese)

GAUDENZI P. Exact higher order solutions for a simple adaptive structure[J]. International Journal of Solids and Structures, 1998, 35(26-27):3595-3610.

DUTOIT N E, WARDLE B L, KIM S G. Design considerations for MEMS-scale piezoelectric mechanical vibration energy harvesters[J]. Integrated Ferroelectrics, 2005, 71(1):121-160.

ERTURK A, INMAN D J. An experimentally validated bimorph cantilever model for piezoelectric energy harvesting from base excitations[J]. Smart Materials and Structures, 2009, 18(2):025009.

ROUNDY S, WRIGHT P K. A piezoelectric vibration based generator for wireless electronics[J]. Smart Materials and Structures, 2004, 13(5):1131-1142.

贺学锋, 杜志刚, 赵兴强, 等.悬臂梁式压电振动能采集器的建模及实验验证[J].光学精密工程, 2011, 19(8):1771-1778.

HE X F, DU ZH G, ZHAO X Q, et al.. Modeling and experimental verification for cantilevered piezoelectric vibration energy harvester[J]. Opt. Precision Eng., 2011, 19(8):1771-1778. (in Chinese)

KAPURIA S. An efficient coupled theory for multilayered beams with embedded piezoelectric sensory and active layers[J]. International Journal of Solids and Structures, 2001, 38(50-51):9179-9199.

SZE K Y, YANG X M, FAN H. Electric assumptions for piezoelectric laminate analysis[J]. International Journal of Solids and Structures, 2004, 41(9-10):2363-2382.

VASQUES C M A, RODRIGUES J D. Coupled three-layered analysis of smart piezoelectric beams with different electric boundary conditions[J]. International Journal for Numerical Methods in Engineering, 2005, 62(11):1488-1518.

SARAVANOS D A, HEYLIGER P R, HOPKINS D A. Layerwise mechanics and finite element for the dynamic analysis of piezoelectric composite plates[J]. International Journal of Solids and Structures, 1997, 34(3):359-378.

CHEE C Y K, TONG L Y, STEVEN G P. A mixed model for composite beams with piezoelectric actuators and sensors[J]. Smart Materials and Structures, 1999, 8(3):417-432.

ROGACHEVA N N. The Theory of Piezoelectric Shells and Plates[M]. Boca Raton:CRC Press, 1994.

KROMMER M, IRSCHIK H. A Reissner-Mindlin-type plate theory including the direct piezoelectric and the pyroelectric effect[J]. Acta Mechanica, 2000, 141(1-2):51-69.

BENJEDDOU A, TRINDADE M A, OHAYON R. A unified beam finite element model for extension and shear piezoelectric actuation mechanisms[J]. Journal of Intelligent Material Systems and Structures, 1997, 8(12):1012-1025.

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