Piezoelectric ceramic resonators

• Main Authors: Erhart, Jiří (Author), Půlpán, Petr (Author), Pustka, Martin (Author)
• Format: Electronic eBook
• Language: English
• Published: Switzerland : Springer, [2017]
• Series: Topics in mining, metallurgy and materials engineering.
• Subjects: Piezoelectricity.; Resonators.; Piezoelectric ceramics.; elektronické knihy; electronic books
• ISBN: 9783319424811; 9783319424804
• Physical Description: 1 online resource

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. Piezoelectr...

Table of Contents:

• Preface; Contents; List of symbols; 1 Piezoelectricity and Piezoelectric Properties; 1.1 Pyroelectricity; 1.2 Piezoelectricity Discovery; 1.3 Ferroelectricity Discovery; 1.4 Piezoelectric Properties; References; 2 Piezoelectric Ceramic Materials; 2.1 PZT Ceramics; 2.2 Other Ceramic Compositions; 2.3 Example of Crystallographic Symmetry for Mechanically Textured Ceramics; References; 3 Piezoelectric Ceramic Resonators (Resonance Frequency and Equivalent Electrical Circuit); 3.1 Introduction; 3.1.1 Basic Assumptions and Approximations; 3.1.2 Solution of Free Vibrations.
• 3.1.3 Electromechanical Coupling Factor3.1.4 Electrical Equivalent Circuit; 3.2 Length Extensional Mode (Side Electrodes); 3.2.1 Solution of Free Vibrations; 3.2.2 Parameters of Electrical Equivalent Circuit; 3.3 Length Extensional Mode (End Electrodes); 3.3.1 Solution of Free Vibrations; 3.3.2 Parameters of Electrical Equivalent Circuit; 3.4 Thickness Shear Mode (Side Electrodes); 3.4.1 Solution of Free Vibrations; 3.4.2 Parameters of Electrical Equivalent Circuit; 3.5 Thickness Shear Mode (End Electrodes); 3.5.1 Solution of Free Vibrations; 3.5.2 Parameters of Electrical Equivalent Circuit.
• 3.6 Thickness Extensional Mode3.6.1 Solution of Free Vibrations; 3.6.2 Parameters of Electrical Equivalent Circuit; 3.7 Radial Mode of Circular Plate; 3.7.1 Solution of Free Vibrations; 3.7.2 Parameters of Electrical Equivalent Circuit; 3.7.3 Solution Using Planar Material Constants; 3.8 Radial Mode of Circular Rod; 3.8.1 Solution of Free Vibrations; 3.8.2 Parameters of Electrical Equivalent Circuit; 3.9 Contour Extensional Mode of Square Plate; 3.9.1 Solution of Free Vibrations; 3.9.2 Parameters of Electrical Equivalent Circuit; 3.10 Width Extensional Mode; 3.10.1 Solution of Free Vibrations.
• 3.10.2 Parameters of Electrical Equivalent Circuit3.11 Width Extensional Mode (Side Electrodes); 3.11.1 Solution of Free Vibrations; 3.11.2 Parameters of Electrical Equivalent Circuit; 3.12 Thickness Extensional Mode (Side Electrodes); 3.12.1 Solution of Free Vibrations; 3.12.2 Parameters of Electrical Equivalent Circuit; 3.13 Width Extensional Mode (End Electrodes); 3.13.1 Solution of Free Vibrations; 3.13.2 Parameters of Electrical Equivalent Circuit; 3.14 Radial Axisymmetric Vibrations of Rings and Tubes; 3.14.1 Radial Mode of Thin Rings; 3.14.2 Radial Mode of Axially Polarized Ring.
• 3.14.3 Radial Mode of Radially Polarized Ring3.15 Miscellaneous Vibration Modes; 3.16 Approximative Theories for the Solution of Piezoelectric Resonator Vibrations; References; 4 Applications of Piezoelectric Resonators; 4.1 Introduction; 4.2 Impedance Spectrum Characteristics; 4.3 Electromechanical Coupling Factor; 4.4 Material Property Measurement for Piezoelectric Ceramics; 4.4.1 Thickness Poled Bar with Electrodes on Major Faces (\varvec {k}_{31}-mode); 4.4.2 Longitudinally Poled Bar with Electrodes at the Ends ({\varvec k}_{\bf 33}-mode).