Definition of constants for piezoceramic materials / Vladimir A. Akopyan ... [et al.].

Format:

Book

Contributor:

Akopyan, Vladimir A.

Series:

Materials science and technologies series.

Materials science and technologies series

Language:

English

Subjects (All):

Piezoelectric ceramics.

Electronic ceramics.

Elasticity--Mathematical models.

Elasticity.

Piezoelectricity--Mathematical models.

Piezoelectricity.

Piezoelectric devices.

Physical Description:

1 online resource (219 p.)

Edition:

1st ed.

Place of Publication:

New York : Nova Science Publishers, c2010.

Language Note:

English

Summary:

This monograph consists of investigation results obtained on the theoretically well-grounded method for the total set of the compatible material constants for different piezoceramics.

Contents:

Intro

DEFINITION OF CONSTANTS FORPIEZOCERAMIC MATERIALS

CONTENTS

PREFACE

INTRODUCTION

BOUNDARY PROBLEMS FOR PIEZOELECTRICSAND MATHEMATICAL MODELSOF ELECTRO-ELASTICITY

2.1. CONSTITUTIVE EQUATIONS OFELECTRO-ELASTIC MEDIA

2.2. ELECTRO-ELASTICITY PROBLEM ON LONGITUDINALOSCILLATIONS OF TRANSVERSE-POLARIZED BEAM

2.3. PROBLEM ON LONGITUDINAL OSCILLATIONS OFBEAM UNDER LONGITUDINAL ELECTRIC FIELD

2.4. PROBLEM ON SHEAR OSCILLATIONS EXCITED INPLATE WITH DEPTH POLARIZATION

2.5. PROBLEM ON PLANAR OSCILLATIONS INTHIN PLATE WITH DEPTH POLARIZATION.APPROXIMATE RELATIONS FOR ELASTIC CONSTANTS

METHODS FOR DEFINITION OFPIEZOELECTRIC MATERIAL CONSTANTS

3.1. METHODS FOR DEFINITION OF ELASTICPIEZOELECTRIC CONSTANTS IN DYNAMIC REGIME

3.2. METHODS FOR DEFINITION OF PIEZOMODULES INSTATIC AND QUASISTATIC REGIMES

IDENTIFICATION OF OSCILLATION MODESAND DETERMINATION OFFULL MATRIX OF THE COMPATIBLEPIEZOELECTRIC MATERIAL CONSTANTS

4.1. DIFFERENT OSCILLATION MODES FORPIEZOCERAMIC RECTANGULAR PRISMATIC BEAM

4.1.1. Isolated Longitudinal and Depth Oscillation Modes forTransverse-Polarized Beam and Experimental Definition theirResonances

4.1.2. Theoretical Analysis of Amplitude-Frequency Characteristicsand Oscillation Forms for Transverse-Polarized Beam. Comparisonof Theoretical and Test Data

4.2. METHOD AND ALGORITHM FOR DEFINITION OFFULL MATRIX OF THE PIEZOCERAMIC MATERIALCOMPATIBLE CONSTANTS AND MEASURING DEVICEFOR THEIR REALIZATION

4.2.1. Method and Algorithm for Definition of Full Matrix of theConstants

4.2.2. Measuring Device Used for Definition of Constants

4.2.3. Results of Measurements and Calculations for SomePiezoceramics. Comparative Analysis with Known Data

DEFINITION OF PIEZOMODULE D33

5.1. GOVERNING EQUATIONS FOR DEFINITION OFPIEZOMODULE D33 AND SCHEME ITS CALCULATION.

5.2. METHOD AND DEVICE FOR DEFINITION OFPIEZOMODULE D33 IN QUASISTATIC REGIME

5.3. ANALYSIS OF RESULT VALIDITY ANDERROR IN MEASUREMENT OF D33

DEFINITION OF ELASTIC CONSTANTS FORPIEZOCERAMICS AND THEIR TEMPERATURECHARACTERISTICS BY USING METHOD OFBENDING-TORSION OSCILLATIONSOF THE CANTILEVER BEAM

6.1. Problem of Bending Oscillations of PiezoceramicCantilever Beam with Additive Mass

6.2. METHOD FOR DEFINITION OFTECHNICAL ELASTIC CONSTANTS

6.3. INVESTIGATION OF TEMPERATURE DEPENDENCIES OFPIEZOCERAMIC ELASTIC CONSTANTS

6.4. ANALYSIS OF RESULT VALIDITY AND ERROR INMEASUREMENT OF ELASTIC CONSTANTS

APPENDIX A. SPECIALIZED FINITE-ELEMENTCOMPLEX ACELAN

A.1. CONTINUUM AND FINITE-ELEMENT MODELS OFPIEZOELECTRIC DEVICES

A.1.1. Continuum Models of Elastic, Electroelastic and AcousticMedia

A.1.2. Finite-Element Models

A.1.3. Numerical Solution of System of the Ordinary DifferentialEquations for the Finite-Element Model

A.2. TECHNIQUE OF SOLUTIONOF THE DYNAMIC PROBLEMS IN ACELAN

A.2.1. Construction of Finite-Element Model in ACELAN

A.2.2. Definition of Natural Frequencies of Resonance andAntiresonance

A.2.3. Solution of Problem on Steady Oscillations

A.2.4. Solution of Non-stationary Problem

REFERENCES

INDEX.

Notes:

Description based upon print version of record.

Includes bibliographical references and index.

ISBN:

1-61324-331-6

OCLC:

747305643