Masters Theses


Qiang Du


"IEEE Standard on Piezoelectricity (ANSI/IEEE Std. 176-1987) presented a linear model of analyzing piezoelectric disk vibrating in its radial mode. This model is very accurate in predicting resonant frequency and impedance of a disk driven under low field. However, it didn’t include the losses which are practically inevitable. This may result in two effects: 1. The impedances calculated near the resonant and anti-resonant frequencies are inaccurate; 2. The diaplacement amplitude tends to be much higher than what it actually is. Besides, this model can’t analyze disks with partially-covered electrodes. This paper presents a new linear model for the analysis of a piezoelectric disk vibrating in its radial mode. With modal expansion method, the electrical and structural dynamic properties of the disk are analyzed. The viscous damping effect is considered. The effect of partial electrode coverage is also investigated. The effectiveness of the model is experimentally verified.

It is well known that piezoelectric ceramic displays significant nonlinear properties under different operating conditions, including frequency, voltage, temperature, etc. Optimal control and optimal driving of piezoelectric ceramic require understandings of these nonlinear properties. Practically, this is a hard problem, and there are not much literatures on this topic. Our goal was to study the piezoelectric ceramic property under high field. In order to do this, an impedance analysis system was developed to measure impedance of piezoelectric ceramic under high field. It has up to 1.25KW handling capability and 200KHZ bandwidth. The effectiveness of the system is experimentally verified. The departure of the linear model was determined"--Abstract, page iii.


Pekarek, Steven
Stutts, Daniel S.

Committee Member(s)

Crow, Mariesa


Electrical and Computer Engineering

Degree Name

M.S. in Electrical Engineering


The research presented in this thesis was funded by Johnson & Johnson.


University of Missouri--Rolla

Publication Date

Summer 2002

Journal article titles appearing in thesis/dissertation

  • An Impedance Analysis System for Measuring High-Field Property of Piezoelectric Ceramics
  • Impedance and Dynamic Analysis of a Piezoelectric Circular Disk in Planar Axisymmetric Vibration


ix, 40 pages

Note about bibliography

Includes bibliographical references (pages 38-39).


© 2002 Qiang Du, All rights reserved.

Document Type

Thesis - Restricted Access

File Type




Subject Headings

Vibration -- Research
Piezoelectric ceramics

Thesis Number

T 8106

Print OCLC #


Link to Catalog Record

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