Appendix A: Piezoelectric Constitutive Equations

Abstract

"The goal is to eliminate the need for periodic battery replacement or external power sources in situations where this would otherwise be difficult or impossible to provide, such as remote wireless sensors used in hazardous environments or for structural health monitoring applications"-- Front Matter -- Introduction to Piezoelectric Energy Harvesting -- Base Excitation Problem for Cantilevered Structures and Correction of the Lumped-Parameter Electromechanical Model -- Analytical Distributed-Parameter Electromechanical Modeling of Cantilevered Piezoelectric Energy Harvesters -- Experimental Validation of the Analytical Solution for Bimorph Configurations -- Dimensionless Equations, Asymptotic Analyses, and Closed-Form Relations for Parameter Identification and Optimization -- Approximate Analytical Distributed-Parameter Electromechanical Modeling of Cantilevered Piezoelectric Energy Harvesters -- Modeling of Piezoelectric Energy Harvesting for Various Forms of Dynamic Loading -- Modeling and Exploiting Mechanical Nonlinearities in Piezoelectric Energy Harvesting -- Piezoelectric Energy Harvesting from Aeroelastic Vibrations -- Effects of Material Constants and Mechanical Damping on Power Generation -- A Brief Review of the Literature of Piezoelectric Energy Harvesting Circuits -- Appendix A: Piezoelectric Constitutive Equations -- Appendix B: Modeling of the Excitation Force in Support Motion Problems of Beams and Bars -- Appendix C: Modal Analysis of a Uniform Cantilever with a Tip Mass -- Appendix D: Strain Nodes of a Uniform Thin Beam for Cantilevered and Other Boundary Conditions -- Appendix E: Numerical Data for PZT-5A and PZT-5H Piezoceramics -- Appendix F: Constitutive Equations for an Isotropic Substructure -- Appendix G: Essential Boundary Conditions for Cantilevered Beams -- Appendix H: Electromechanical Lagrange Equations Based on the Extended Hamilton's Principle -- Index.