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Vibration of Piezoelectric Crystal Plates
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Ch. 1. Theory of piezoelectricity. 1.1. Basic equations. 1.2. Free vibration eigenvalue problem. 1.3. Inertial effect of a mass layer: perturbation integral. 1.4. Effect of mass layer stiffness: perturbation integral. 1.5. Frequency perturbation due to contact with a fluid. 1.6. Quartz and langasite. 1.7. Lithium niobate and lithium tantalate. 1.8. Polarized ceramics and crystals in class 6mm -- ch. 2. Thickness modes in plates: elastic analysis. 2.1. Equations of anisotropic elasticity. 2.2. Thickness modes in a quartz plate. 2.3. Inertial effect of a mass layer: Sauerbrey equation. 2.4. Inertial effect of a mass layer: perturbation. 2.5. Inertial effect of a mass layer: differential equation. 2.6. Plate with asymmetric mass layers. 2.7. Plate in contact with a fluid: differential equation. 2.8. Plate in contact with a fluid: perturbation. 2.9. Plate with particles. 2.10. Plate with an array of rods in extension. 2.11. Plate with an array of beams in bending. 2.12. Plate with beams: effect of couple stress. 2.13. Plate with an inhomogeneous layer of finite thickness -- ch. 3. Thickness modes in plates: piezoelectric analysis. 3.1. Unelectroded plate. 3.2. Thickness field excitation. 3.3. Lateral field excitation. 3.4. Plate with separated electrodes. 3.5. Effect of electrode inertia. 3.6. Imperfectly bonded electrodes. 3.7. Effect of electrode shear stiffness. 3.8. Plate in contact with a fluid under a separated electrode. 3.9. Plate in contact with a fluid: lateral field excitation. 3.10. Plate with surface load described by acoustic impedance. 3.11. Transient thickness-shear vibration
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Ch. 1. Theory of piezoelectricity. 1.1. Basic equations. 1.2. Free vibration eigenvalue problem. 1.3. Inertial effect of a mass layer: perturbation integral. 1.4. Effect of mass layer stiffness: perturbation integral. 1.5. Frequency perturbation due to contact with a fluid. 1.6. Quartz and langasite. 1.7. Lithium niobate and lithium tantalate. 1.8. Polarized ceramics and crystals in class 6mm -- ch. 2. Thickness modes in plates: elastic analysis. 2.1. Equations of anisotropic elasticity. 2.2. Thickness modes in a quartz plate. 2.3. Inertial effect of a mass layer: Sauerbrey equation. 2.4. Inertial effect of a mass layer: perturbation. 2.5. Inertial effect of a mass layer: differential equation. 2.6. Plate with asymmetric mass layers. 2.7. Plate in contact with a fluid: differential equation. 2.8. Plate in contact with a fluid: perturbation. 2.9. Plate with particles. 2.10. Plate with an array of rods in extension. 2.11. Plate with an array of beams in bending. 2.12. Plate with beams: effect of couple stress. 2.13. Plate with an inhomogeneous layer of finite thickness -- ch. 3. Thickness modes in plates: piezoelectric analysis. 3.1. Unelectroded plate. 3.2. Thickness field excitation. 3.3. Lateral field excitation. 3.4. Plate with separated electrodes. 3.5. Effect of electrode inertia. 3.6. Imperfectly bonded electrodes. 3.7. Effect of electrode shear stiffness. 3.8. Plate in contact with a fluid under a separated electrode. 3.9. Plate in contact with a fluid: lateral field excitation. 3.10. Plate with surface load described by acoustic impedance. 3.11. Transient thickness-shear vibration
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