Author Yang, Jiashi
Title Analysis Of Piezoelectric Devices
Imprint Singapore : World Scientific Publishing Company, 2006
©2006
book jacket
Descript 1 online resource (537 pages)
text txt rdacontent
computer c rdamedia
online resource cr rdacarrier
Note Intro -- Contents -- Preface -- Chapter 1: Three-Dimensional Theories -- 1.1 Nonlinear Electroelasticity for Strong Fields -- 1.2 Linear Piezoelectricity for Infinitesimal Fields -- 1.3 Linear Theory for Small Fields Superposed on a Finite Bias -- 1.4 Cubic Theory for Weak Nonlinearity -- Chapter 2: Thickness-Shear Modes of Plate Resonators -- 2.1 Static Thickness-Shear Deformation -- 2.2 Nonlinear Thickness-Shear Deformation -- 2.3 Effects of Initial Fields on Thickness-Shear Deformation -- 2.4 Linear Thickness-Shear Vibration -- 2.5 Effects of Electrode Inertia -- 2.6 Inertial Effects of Imperfectly Bounded Electrodes -- 2.7 Effects of Electrode Inertia and Shear Stiffness -- 2.8 Nonlinear Thickness-Shear Vibration -- 2.9 Effects of Initial Fields on Thickness-Shear Vibration -- Chapter 3: Slowly Varying Thickness-Shear Modes -- 3.1 Exact Waves in a Plate -- 3.2 An Approximate Equation for Thickness-Shear Waves -- 3.3 Thickness-Shear Vibration of Finite Plates -- 3.4 Energy Trapping in Mesa Resonators -- 3.5 Contoured Resonators -- 3.6 Energy Trapping due to Material Inhomogeneity -- 3.7 Energy Trapping by Electrode Mass -- 3.8 Effects of Non-uniform Electrodes -- 3.9 Effects of Electromechanical Coupling on Energy Trapping -- 3.10 Coupling to Flexure -- 3.11 Coupling to Face-Shear and Flexure -- 3.12 Effects of Middle Surface Curvature -- Chapter 4: Mass Sensors -- 4.1 Inertial Effect of a Mass Layer by Perturbation -- 4.2 Thickness-Shear Modes of a Plate -- 4.3 Anti-Plane Modes of a Wedge -- 4.4 Torsional Modes of a Conical Shell -- 4.5 Effects of Inertia and Stiffness of a Mass Layer by Perturbation -- 4.6 Effects of Inertia and Stiffness of a Mass Layer by Variation -- 4.7 Radial Modes of a Ring -- 4.8 Effects of Shear Deformability of a Mass Layer -- 4.9 Thickness-Shear Modes of a Plate with Thick Mass Layers
4.10 An Ill-Posed Problem in Elasticity for Mass Sensors -- 4.11 Thickness-Shear Modes of a Circular Cylinder -- 4.12 Mass Sensitivity of Surface Waves -- 4.13 Thickness-Twist Waves in a Ceramic Plate -- 4.14 Bechmann's Number for Thickness-Twist Waves -- 4.15 Thickness-Twist Waves in a Quartz Plate -- Chapter 5: Fluid Sensors -- 5.1 An Ill-Posed Problem in Elasticity for Fluid Sensors -- 5.2 Perturbation Analysis -- 5.3 Thickness-Shear Modes of a Plate -- 5.4 Torsional Modes of a Cylindrical Shell -- 5.5 Thickness-Shear Modes of a Circular Cylinder -- 5.6 Surface Wave Fluid Sensors -- 5.7 Thickness-Twist Waves in a Ceramic Plate -- Chapter 6: Gyroscopes - Frequency Effect -- 6.1 High Frequency Vibrations of a Small Rotating Piezoelectric Body -- 6.2 Propagation of Plane Waves -- 6.3 Thickness Vibrations of Plates -- 6.4 Propagating Waves in a Rotating Piezoelectric Plate -- 6.5 Surface Waves over a Rotating Piezoelectric Half-Space -- Chapter 7: Gyroscopes - Charge Effect -- 7.1 A Rectangular Beam -- 7.2 A Circular Tube -- 7.3 A Beam Bimorph -- 7.4 An Inhomogeneous Shell -- 7.5 A Ceramic Ring -- 7.6 A Concentrated Mass and Ceramic Rods -- 7.7 A Ceramic Plate by Two-Dimensional Equations -- 7.8 A Ceramic Plate by Zero-Dimensional Equations -- Chapter 8 Acceleration Sensitivity -- 8.1 Deformation of a Quartz Plate under Normal Acceleration -- 8.2 First-Order Acceleration Sensitivity -- 8.3 An Estimate of Second-Order Acceleration Sensitivity and its Reduction -- 8.4 Second-Order Perturbation Analysis -- 8.5 Second-Order Normal Acceleration Sensitivity -- 8.6 Effects of Middle Surface Curvature -- 8.7 Vibration Sensitivity -- Chapter 9: Pressure Sensors -- 9.1 A Rectangular Plate in a Circular Cylindrical Shell -- 9.2 A Circular Plate in a Circular Cylindrical Shell -- 9.3 A Rectangular Plate in a Shallow Shell -- 9.4 A Bimorph
9.5 Surface Wave Pressure Sensors Based on Extension -- 9.6 Surface Wave Pressure Sensors Based on Flexure -- Chapter 10: Temperature Sensors -- 10.1 Thermoelectroelasticity -- 10.2 Linear Theory -- 10.3 Small Fields Superposed on a Thermal Bias -- 10.4 Thickness-Shear Modes of a Free Plate -- 10.5 Thickness-Shear Modes of a Constrained Plate -- Chapter 11: Piezoelectric Generators -- 11.1 Thickness-Stretch of a Ceramic Plate -- 11.2 A Circular Shell -- 11.3 A Beam Bimorph -- 11.4 A Spiral Bimorph -- 11.5 Nonlinear Behavior near Resonance -- Chapter 12: Piezoelectric Transformers -- 12.1 A Thickness-Stretch Mode Plate Transformer -- 12.2 Rosen Transformer -- 12.3 A Thickness-Shear Mode Transformer - Free Vibration -- 12.4 A Thickness-Shear Mode Transformer - Forced Vibration -- Chapter 13: Power Transmission through an Elastic Wall -- 13.1 Formulation of the Problem -- 13.2 Theoretical Analysis -- 13.3 Numerical Results -- Chapter 14: Acoustic Wave Amplifiers -- 14.1 Equations for Piezoelectric Semiconductors -- 14.2 Equations for a Thin Film -- 14.3 Surface Waves -- 14.4 Interface Waves -- 14.5 Waves in a Plate -- 14.6 Gap Waves -- References -- Appendix 1 Notation -- Appendix 2 Electroelastic Material Constants -- Index
Key Features:A highly theoretical treatment of piezoelectric devicesThe three-dimensional theory of piezoelectricity, as well as the two-, one- and zero-dimensional theoriesIncludes the operating principles and basic behaviors of the devices analyzedIn the spirit of Mindlin's school of applied mechanics from theories to applications
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Electronic reproduction. Ann Arbor, Michigan : ProQuest Ebook Central, 2020. Available via World Wide Web. Access may be limited to ProQuest Ebook Central affiliated libraries
Link Print version: Yang, Jiashi Analysis Of Piezoelectric Devices Singapore : World Scientific Publishing Company,c2006 9789812568618
Subject Piezoelectric devices -- Mathematical models
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