超声波轴承用挤压式压电换能器的共振频率

李东明; 崔爽; 丛琳皓; 王道顺; 崔玉国

doi:10.3788/OPE.20142209.2423

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超声波轴承用挤压式压电换能器的共振频率

微纳技术与精密机械 | 更新时间：2020-08-13

- 超声波轴承用挤压式压电换能器的共振频率
- Resonance frequency of extrusion type piezoelectric transducer for ultrasonic bearing
- 光学精密工程 2014年22卷第9期页码：2423-2430
- 作者机构：
  
  1. 宁波大学机械工程与力学学院,浙江宁波,315211
  2. 大连交通大学机械工程学院,辽宁大连,116028
- 作者简介：
- 基金信息：
  
  辽宁省自然科学基金资助项目（No.201102022）();国家教育部留学回国人员启动基金资助项目();浙江省零件轧制成形技术研究重点实验室开放基金资助项目();辽宁省
- DOI：10.3788/OPE.20142209.2423
  中图分类号： TN384;TH133.3
- 收稿日期：2014-02-25，
  
  修回日期：2014-03-20，
  
  纸质出版日期：2014-09-25
- 稿件说明：
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李东明, 崔爽, 丛琳皓等. 超声波轴承用挤压式压电换能器的共振频率[J]. 光学精密工程, 2014,22(9): 2423-2430

LI Dong-ming, CUI Shuang, CONG Lin-hao etc. Resonance frequency of extrusion type piezoelectric transducer for ultrasonic bearing[J]. Editorial Office of Optics and Precision Engineering, 2014,22(9): 2423-2430
李东明, 崔爽, 丛琳皓等. 超声波轴承用挤压式压电换能器的共振频率[J]. 光学精密工程, 2014,22(9): 2423-2430 DOI： 10.3788/OPE.20142209.2423.

LI Dong-ming, CUI Shuang, CONG Lin-hao etc. Resonance frequency of extrusion type piezoelectric transducer for ultrasonic bearing[J]. Editorial Office of Optics and Precision Engineering, 2014,22(9): 2423-2430 DOI： 10.3788/OPE.20142209.2423.

摘要

设计了一种超声悬浮轴承用新型径向挤压式压电换能器，用于验证超声波轴承径向共振频率理论计算的正确性。基于弹性理论、压电方程和机电类比原理，建立压电换能器机电等效电路图，理论推导出了压电换能器径向振动的共振频率方程；然后，应用Matlab软件计算出了压电换能器的共振频率。采用有限元软件对已知结构尺寸的换能器进行模态分析，计算出压电换能器所需振型及该振型下的共振频率，数值仿真分析了换能器结构尺寸对换能器共振频率和径向振幅的影响。最后，设计了一台样机，从理论、仿真及实验三方面对其共振频率进行验证。实验结果显示：换能器径向振动共振频率的理论值与实验结果相对误差为5.89%，仿真值与实验结果误差为3.53%。实验结果证明了理论计算方法的正确性，为压电挤压换能器的设计提供了理论依据。

Abstract

A new type radial extrusion type piezoelectric transducer for ultrasonic levitation bearings was designed to verify the correctness of the theoretical calculation of ultrasonic bearing radial resonance frequency. Based on the basic theory of elastic

piezoelectric equation

and the electromechanical analogy principle

the mechanical and electrical equivalent circuit diagram for the piezoelectric transducer was established

and the resonance frequency equation of the radial vibration of the piezoelectric transducer was deduced. Then

MATLAB software was applied to calculation of the resonant frequency of piezoelectric transducer

and the finite element software was used to analyze the modal of the known structure size of transducer

calculate the resonance frequency of the piezoelectric transducer under the required vibration mode and simulate and analyze the impact of transducer structure size on resonance frequency and radial amplitude of the transducer. A prototype was designed and its resonant frequency was verified on the basis of theory

simulations and experiments. Result shows that the relative errors of theoretical and experimental results and simulation and experiment results for the radial vibration resonance frequency are 5.89%

and 3.53%

respectively. These results verify the correctness of the theoretical calculation method and provide theoretical basis for the design of extruded piezoelectric transducers.

关键词

Keywords

references

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