Linear piezoelectric plate vibrations : elements of the linear theory of piezoelectricity and the vibrations of piezoelectric plates

Front Matter....Pages i-xv Elements of Vector and Tensor Notation....Pages 1-8 Front Matter....Pages 9-9 Mechanical Considerations....Pages 11-16 Infinitesimal Deformation Theory....Pages 17-24 Electromagnetic Considerations....Pages 25-32 The Linear Theory of Piezoelectricity....Pages 33-39 Hamilton’s Principle....Pages 41-50 Material Symmetry Considerations....Pages 51-61 Front Matter....Pages 63-63 Some Aspects of the Theory of Waves and Vibrations....Pages 65-80 Thickness Vibrations of Plates....Pages 81-93 Two-Dimensional Standing Waves in Elastic Plates....Pages 95-118 Two-Dimensional Standing Waves in Piezoelectric Plates....Pages 119-126 Front Matter....Pages 127-127 Expansion in Plate Eigensolutions....Pages 129-139 Two-Dimensional Piezoelectric Plate Equations....Pages 141-168 Mechanical Effect of Electrode Plating....Pages 169-178 Some Electrical Circuit Considerations....Pages 179-182 Application to a Monolithic Structure....Pages 183-201 Back Matter....Pages 203-212