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2017 | Book

Piezoelectricity and Piezoelectric Properties Read chapter Read first chapter

Piezoelectric Ceramic Resonators

Authors: Jiří Erhart, Petr Půlpán, Martin Pustka

Publisher: Springer International Publishing

Book Series : Topics in Mining, Metallurgy and Materials Engineering

Part of: Springer Professional "Wirtschaft+Technik" , Springer Professional "Technik"

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About this book

This book helps the reader to understand the specific properties of piezoelectric ceramic resonators. It provides their theoretical description by immitance and equivalent circuit method. The nummerical modelling described is accompanied by examples of properties measured experimentally. Piezoelectric ceramic transformers are also covered, followed by a series of solved and unsolved problems prepared specially for students.

Table of Contents

Frontmatter
Chapter 1. Piezoelectricity and Piezoelectric Properties
Abstract
This introductory chapter focuses on the fundamental explanations of piezoelectricity, pyroelectricity and ferroelectricity. Electromechanical material tensor coefficients for piezoelectric ceramics, equations of state and mutual thermodynamic relations between coefficients are discussed.
Jiří Erhart, Petr Půlpán, Martin Pustka
Chapter 2. Piezoelectric Ceramic Materials
Abstract
Chapter is devoted to the specific material symmetry of ferroelectric ceramics. Fundamental ferroelectric properties of ceramics like texture, electric poling, hysteresis loop and operational limits are briefly described. Material properties of PZT ceramics are discussed in more details including material data for some of the commercially available material types – soft or hard PZT. Some of the perspective other lead-free ceramic compositions are briefly mentioned among other piezoelectric ceramic materials, including material data. Finally, an example of the calculation of the effective material coefficients is presented for the mechanically textured piezoelectric ceramics.
Jiří Erhart, Petr Půlpán, Martin Pustka
Chapter 3. Piezoelectric Ceramic Resonators (Resonance Frequency and Equivalent Electrical Circuit)
Abstract
Piezoelectric ceramic resonators are discussed in details including calculation of impedance/admittance for each resonator type, resonance and antiresonance conditions and parameters of equivalent electronic circuit parameters. Resonators of bar, plate, disc and ring shape with various electrode pattern and poling directions are covered for all common one-dimensional as well as special vibration modes in detailed calculations. Some of the miscellaneous resonators (cylindrical or spherical shape) are reviewed from literature references. All resonators are demonstrated by experimental data of impedance spectra with identified and calculated vibration mode parameters. Example of higher order mode theory for coupled vibration is also given for reference.
Jiří Erhart, Petr Půlpán, Martin Pustka
Chapter 4. Applications of Piezoelectric Resonators
Abstract
Applications of piezoelectric resonators for the measurement of material properties by the resonance methods are discussed in details including general properties of impedance spectrum for the piezoelectric resonator at resonance. Methods for the measurement of complete set of electromechanical material tensors, coupling coefficients, mechanical quality, Poisson’s ratio etc. are described in details including error analysis. The temperature coefficients of the resonance frequency for each piezoelectric ceramic resonator used for the material property measurement are defined and calculated as a function of material data temperature coefficients.
Jiří Erhart, Petr Půlpán, Martin Pustka
Chapter 5. Piezoelectric Transformers
Abstract
Piezoelectric ceramic resonators with divided electrode used for the piezoelectric transformation are reviewed in details for various resonator shapes, electrode pattern, poling direction, bulk and multilayer geometry. Piezoelectric transformers of bar, plate, disc, and ring shapes are analytically modeled by the immittance method for one-dimensional vibration modes as a function of dimensions, material properties of ceramics, frequency, and impedance load. Numerical examples of transformer parameter calculation including electrode pattern optimization are presented. Comprehensive list of literature references on piezoelectric transformers is given.
Jiří Erhart, Petr Půlpán, Martin Pustka
Backmatter
Metadata
Title
Piezoelectric Ceramic Resonators
Authors
Jiří Erhart
Petr Půlpán
Martin Pustka
Copyright Year
2017
Electronic ISBN
978-3-319-42481-1
Print ISBN
978-3-319-42480-4
DOI
https://doi.org/10.1007/978-3-319-42481-1

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