Analysis of piezoelectric devices - Yang, Jiashi (World Scientific, 2006)
Includes bibliographical references (p. 491-500) and index
Ch. 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 -- ch. 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 --
- ch. 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. Effectsof 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 --
- ch. 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 ofa mass layer. 4.9. Thickness-shear modes ofa 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 --
- ch. 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 -- ch. 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 -- ch. 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 --