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The transformation of vibrations into electric energy through the use of piezoelectric devices is an exciting and rapidly developing area of research with a widening range of applications constantly materialising. With Piezoelectric Energy Harvesting, world-leading researchers provide a timely and comprehensive coverage of the electromechanical modelling and applications of piezoelectric energy harvesters. They present principal modelling approaches, synthesizing fundamental material related to mechanical, aerospace, civil, electrical and materials engineering disciplines for vibration-based…mehr
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The transformation of vibrations into electric energy through the use of piezoelectric devices is an exciting and rapidly developing area of research with a widening range of applications constantly materialising. With Piezoelectric Energy Harvesting, world-leading researchers provide a timely and comprehensive coverage of the electromechanical modelling and applications of piezoelectric energy harvesters. They present principal modelling approaches, synthesizing fundamental material related to mechanical, aerospace, civil, electrical and materials engineering disciplines for vibration-based energy harvesting using piezoelectric transduction. Piezoelectric Energy Harvesting provides the first comprehensive treatment of distributed-parameter electromechanical modelling for piezoelectric energy harvesting with extensive case studies including experimental validations, and is the first book to address modelling of various forms of excitation in piezoelectric energy harvesting, ranging from airflow excitation to moving loads, thus ensuring its relevance to engineers in fields as disparate as aerospace engineering and civil engineering. Coverage includes: * Analytical and approximate analytical distributed-parameter electromechanical models with illustrative theoretical case studies as well as extensive experimental validations * Several problems of piezoelectric energy harvesting ranging from simple harmonic excitation to random vibrations * Details of introducing and modelling piezoelectric coupling for various problems * Modelling and exploiting nonlinear dynamics for performance enhancement, supported with experimental verifications * Applications ranging from moving load excitation of slender bridges to airflow excitation of aeroelastic sections * A review of standard nonlinear energy harvesting circuits with modelling aspects.
Produktdetails
- Produktdetails
- Verlag: John Wiley & Sons
- Seitenzahl: 416
- Erscheinungstermin: 29. März 2011
- Englisch
- ISBN-13: 9781119991168
- Artikelnr.: 37338413
- Verlag: John Wiley & Sons
- Seitenzahl: 416
- Erscheinungstermin: 29. März 2011
- Englisch
- ISBN-13: 9781119991168
- Artikelnr.: 37338413
Alper Erturk, Virginia Tech, USA, is a Graduate Research Assistant in the Center for Intelligent Material Systems and Structures at Virginia Tech. He has written 1 book chapter and over 30 articles in various international journals and conference proceedings. His recent article on distributed-parameter electromechanical modelling of piezoelectric energy harvesters published in the ASME Journal of Vibration and Acoustics remained the topmost downloaded article of the journal for several months in 2008. His research includes experimental aspects of piezoelectric energy harvesting not only for verification and validation of his models but also for new applications. Daniel J Inman, Virginia Tech, USA, is the Director of the Center for Intelligent Material Systems and Structures and the G.R. Goodson Professor in the Department of Mechanical Engineering at Virginia Tech. He also holds the Brunel Chair in Intelligent Materials and Structures at the University of Bristol. Since 1980, he has published 8 books, 20 book chapters, over 225 journal papers and 432 proceedings papers, given 41 keynote or plenary lectures, graduated 47 Ph.D. students and supervised more than 75 MS degrees. He is currently Technical Editor of the Journal of Intelligent Material Systems and Structures (1999-2004), Technical Editor of the Shock and Vibration Digest (1998-2001), and Technical Editor of the journal Shock and Vibration (1999-2004). He was awarded the SPIE Smart Structures and Materials Life Time Achievement Award in 2003, and in 2007 he received the ASME Den Hartog Award for lifetime achievement in teaching and research in vibration.
About the Authors. Preface. 1. Introduction to Piezoelectric Energy
Harvesting. 1.1 Vibration-Based Energy Harvesting Using Piezoelectric
Transduction. 1.2 An Examples of a Piezoelectric Energy Harvesting System.
1.3 Mathematical Modeling of Piezoelectric Energy Harvesters. 1.4 Summary
of the Theory of Linear Piezoelectricity. 1.5 Outline of the Book. 2. Base
Excitation Problem for Cantilevered Structures and Correction of the
Lumped-Parameter Electromechanical Model. 2.1 Base Excitation Problem for
the Transverse Vibrations. 2.2 Correction of the Lumped-Parameter Base
Excitation Model for Transverse Vibrations. 2.3 Experimental Case Studies
for Validation of the Correction Factor. 2.4 Base Excitation Problem for
Longitudinal Vibrations and Correction of its Lumped-Parameter Model. 2.5
Correction Factor in the Electromechanically Coupled Lumped-Parameter
Equations and a Theoretical Case Study. 2.6 Summary. 2.7 Chapter Notes. 3.
Analytical Distributed-Parameter Electromechanical Modeling of Cantilevered
Piezoelectric Energy Harvesters. 3.1 Fundamentals of the
Electromechanically Coupled Distributed-Parameter Model. 3.2 Series
Connection of the Piezoceramic Layers. 3.3 Parallel Connection of
Piezoceramic Layers. 3.4 Equivalent Representation of the Series and the
Parallel Connection Cases. 3.5 Single-Mode Electromechanical Equations for
Modal Excitations. 3.6 Multi-mode and Single-Mode Electromechanical FRFs.
3.7 Theoretical Case Study. 3.8 Summary. 3.9 Chapter Notes. 4. Experimental
Validation of the Analytical Solution for Bimorph Configurations. 4.1
PZT-5H Bimorph Cantilever without a Tip Mass. 4.2 PZT-5H Bimorph Cantilever
with a Tip Mass. 4.3 PZT-5A Bimorph Cantilever. 4.4 Summary. 4.5 Chapter
Notes. 5. Dimensionless Equations, Asymptotic Analyses, and Closed-Form
Relations for Parameter Identification and Optimization. 5.1 Dimensionless
Representation of the Single-Mode Electromechanical FRFs. 5.2 Asymptotic
Analyses and Resonance Frequencies. 5.3 Identification of Mechanical
Damping. 5.4 Identification of the Optimum Electrical Load for Resonance
Excitation. 5.5 Intersection of the Voltage Asymptotes and a Simple
Technique for the Experimental Identification of the Optimum Load
Resistance. 5.6 Vibration Attenuation Amplification from the Short-Circuit
to Open-Circuit Conditions. 5.7 Experimental Validation for a PZT-5H
Bimorph Cantilever. 5.8 Summary. 5.9 Chapter Notes. 6. Approximate
Analytical Distributed-Parameter Electromechanical Modeling of Cantilevered
Piezoelectric Energy Harvesters. 6.1 Unimorph Piezoelectric Energy
Harvester Configuration. 6.2 Electromechanical Euler-Bernoulli Model with
Axial Deformations. 6.3 Electromechanical Rayleigh Model with Axial
Deformations. 6.4 Electromechanical Timoshenko Model with Axial
Deformations. 6.5 Modeling of Symmetric Configurations. 6.6 Presence of a
Tip Mass in the Euler-Bernoulli, Rayleigh, and Timoshenko Models. 6.7
Comments on the Kinematically Admissible Trial Functions. 6.8 Experimental
Validation of the Assumed-Modes Solution for a Bimorph Cantilever. 6.9
Experimental Validation for a Two-Segment Cantilever. 6.10 Summary. 6.11
Chapter Notes. 7. Modeling of Piezoelectric Energy Harvesting for Various
Forms of Dynamic Loading. 7.1 Governing Electromechanical Equations. 7.2
Periodic Excitation. 7.3 White Noise Excitation. 7.4 Excitation Due to
Moving Loads. 7.5 Local Strain Fluctuations on Large Structures. 7.6
Numerical Solution for General Transient Excitation. 7.7 Case Studies. 7.8
Summary. 7.9 Chapter Notes. 8. Modeling and Exploiting Mechanical
Nonlinearities in Piezoelectric Energy Harvesting. 8.1 Perturbation
Solution of the Piezoelectric Energy Harvesting Problem: the Method of
Multiple Scales. 8.2 Monostable Duffing Oscillator with Piezoelectric
Coupling. 8.3 Bistable Duffing Oscillator with Piezoelectric Coupling: the
Piezomagnetoelastic Energy Harvester. 8.4 Experimental Performance Results
of the Bistable Peizomagnetoelastic Energy Harvester. 8.5 A Bistable Plate
for Piezoelectric Energy Harvesting. 8.6 Summary. 8.7 Chapter Notes. 9.
Piezoelectric Energy Harvesting from Aeroelastic Vibrations. 9.1 A
Lumped-Parameter Piezoaeroelastic Energy Harvester Model for Harmonic
Response. 9.2 Experimental Validations of the Lumped-Parameter Model at the
Flutter Boundary. 9.3 Utilization of System Nonlinearities in
Piezoaeroelastic Energy Harvesting. 9.4 A Distributed-Parameter
Piezoaeroelastic Model for Harmonic Response: Assumed-Modes Formulation.
9.5 Time-Domain and Frequency-Domain Piezoaeroelastic Formulations with
Finite-Element Modeling. 9.6 Theoretical Case Study for Airflow Excitation
of a Cantilevered Plate. 9.7 Summary. 9.8 Chapter Notes. 10. Effects of
Material Constants and Mechanical Damping on Power Generation. 10.1
Effective Parameters of Various Soft Ceramics and Single Crystals. 10.2
Theoretical Case Study for Performance Comparison of Soft Ceramics and
Single Crystals. 10.3 Effective Parameters of Typical Soft and Hard
Ceramics and Single Crystals. 10.4 Theoretical Case Study for Performance
Comparison of Soft and Hard Ceramics and Single Crystals. 10.5 Experimental
Demonstration for PZT-5A and PZT-5H Cantilevers. 10.6 Summary. 10.7 Chapter
Notes. 11. A Brief Review of the Literature of Piezoelectric Energy
Harvesting Circuits. 11.1 AC-DC Rectification and Analysis of the Rectified
Output. 11.2 Two-Stage Energy Harvesting Circuits: DC-DC Conversion for
Impedance Matching. 11.3 Synchronized Switching on Inductor for
Piezoelectric Energy Harvesting. 11.4 Summary. 11.5 Chapter Notes. 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.
Harvesting. 1.1 Vibration-Based Energy Harvesting Using Piezoelectric
Transduction. 1.2 An Examples of a Piezoelectric Energy Harvesting System.
1.3 Mathematical Modeling of Piezoelectric Energy Harvesters. 1.4 Summary
of the Theory of Linear Piezoelectricity. 1.5 Outline of the Book. 2. Base
Excitation Problem for Cantilevered Structures and Correction of the
Lumped-Parameter Electromechanical Model. 2.1 Base Excitation Problem for
the Transverse Vibrations. 2.2 Correction of the Lumped-Parameter Base
Excitation Model for Transverse Vibrations. 2.3 Experimental Case Studies
for Validation of the Correction Factor. 2.4 Base Excitation Problem for
Longitudinal Vibrations and Correction of its Lumped-Parameter Model. 2.5
Correction Factor in the Electromechanically Coupled Lumped-Parameter
Equations and a Theoretical Case Study. 2.6 Summary. 2.7 Chapter Notes. 3.
Analytical Distributed-Parameter Electromechanical Modeling of Cantilevered
Piezoelectric Energy Harvesters. 3.1 Fundamentals of the
Electromechanically Coupled Distributed-Parameter Model. 3.2 Series
Connection of the Piezoceramic Layers. 3.3 Parallel Connection of
Piezoceramic Layers. 3.4 Equivalent Representation of the Series and the
Parallel Connection Cases. 3.5 Single-Mode Electromechanical Equations for
Modal Excitations. 3.6 Multi-mode and Single-Mode Electromechanical FRFs.
3.7 Theoretical Case Study. 3.8 Summary. 3.9 Chapter Notes. 4. Experimental
Validation of the Analytical Solution for Bimorph Configurations. 4.1
PZT-5H Bimorph Cantilever without a Tip Mass. 4.2 PZT-5H Bimorph Cantilever
with a Tip Mass. 4.3 PZT-5A Bimorph Cantilever. 4.4 Summary. 4.5 Chapter
Notes. 5. Dimensionless Equations, Asymptotic Analyses, and Closed-Form
Relations for Parameter Identification and Optimization. 5.1 Dimensionless
Representation of the Single-Mode Electromechanical FRFs. 5.2 Asymptotic
Analyses and Resonance Frequencies. 5.3 Identification of Mechanical
Damping. 5.4 Identification of the Optimum Electrical Load for Resonance
Excitation. 5.5 Intersection of the Voltage Asymptotes and a Simple
Technique for the Experimental Identification of the Optimum Load
Resistance. 5.6 Vibration Attenuation Amplification from the Short-Circuit
to Open-Circuit Conditions. 5.7 Experimental Validation for a PZT-5H
Bimorph Cantilever. 5.8 Summary. 5.9 Chapter Notes. 6. Approximate
Analytical Distributed-Parameter Electromechanical Modeling of Cantilevered
Piezoelectric Energy Harvesters. 6.1 Unimorph Piezoelectric Energy
Harvester Configuration. 6.2 Electromechanical Euler-Bernoulli Model with
Axial Deformations. 6.3 Electromechanical Rayleigh Model with Axial
Deformations. 6.4 Electromechanical Timoshenko Model with Axial
Deformations. 6.5 Modeling of Symmetric Configurations. 6.6 Presence of a
Tip Mass in the Euler-Bernoulli, Rayleigh, and Timoshenko Models. 6.7
Comments on the Kinematically Admissible Trial Functions. 6.8 Experimental
Validation of the Assumed-Modes Solution for a Bimorph Cantilever. 6.9
Experimental Validation for a Two-Segment Cantilever. 6.10 Summary. 6.11
Chapter Notes. 7. Modeling of Piezoelectric Energy Harvesting for Various
Forms of Dynamic Loading. 7.1 Governing Electromechanical Equations. 7.2
Periodic Excitation. 7.3 White Noise Excitation. 7.4 Excitation Due to
Moving Loads. 7.5 Local Strain Fluctuations on Large Structures. 7.6
Numerical Solution for General Transient Excitation. 7.7 Case Studies. 7.8
Summary. 7.9 Chapter Notes. 8. Modeling and Exploiting Mechanical
Nonlinearities in Piezoelectric Energy Harvesting. 8.1 Perturbation
Solution of the Piezoelectric Energy Harvesting Problem: the Method of
Multiple Scales. 8.2 Monostable Duffing Oscillator with Piezoelectric
Coupling. 8.3 Bistable Duffing Oscillator with Piezoelectric Coupling: the
Piezomagnetoelastic Energy Harvester. 8.4 Experimental Performance Results
of the Bistable Peizomagnetoelastic Energy Harvester. 8.5 A Bistable Plate
for Piezoelectric Energy Harvesting. 8.6 Summary. 8.7 Chapter Notes. 9.
Piezoelectric Energy Harvesting from Aeroelastic Vibrations. 9.1 A
Lumped-Parameter Piezoaeroelastic Energy Harvester Model for Harmonic
Response. 9.2 Experimental Validations of the Lumped-Parameter Model at the
Flutter Boundary. 9.3 Utilization of System Nonlinearities in
Piezoaeroelastic Energy Harvesting. 9.4 A Distributed-Parameter
Piezoaeroelastic Model for Harmonic Response: Assumed-Modes Formulation.
9.5 Time-Domain and Frequency-Domain Piezoaeroelastic Formulations with
Finite-Element Modeling. 9.6 Theoretical Case Study for Airflow Excitation
of a Cantilevered Plate. 9.7 Summary. 9.8 Chapter Notes. 10. Effects of
Material Constants and Mechanical Damping on Power Generation. 10.1
Effective Parameters of Various Soft Ceramics and Single Crystals. 10.2
Theoretical Case Study for Performance Comparison of Soft Ceramics and
Single Crystals. 10.3 Effective Parameters of Typical Soft and Hard
Ceramics and Single Crystals. 10.4 Theoretical Case Study for Performance
Comparison of Soft and Hard Ceramics and Single Crystals. 10.5 Experimental
Demonstration for PZT-5A and PZT-5H Cantilevers. 10.6 Summary. 10.7 Chapter
Notes. 11. A Brief Review of the Literature of Piezoelectric Energy
Harvesting Circuits. 11.1 AC-DC Rectification and Analysis of the Rectified
Output. 11.2 Two-Stage Energy Harvesting Circuits: DC-DC Conversion for
Impedance Matching. 11.3 Synchronized Switching on Inductor for
Piezoelectric Energy Harvesting. 11.4 Summary. 11.5 Chapter Notes. 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.
About the Authors. Preface. 1. Introduction to Piezoelectric Energy
Harvesting. 1.1 Vibration-Based Energy Harvesting Using Piezoelectric
Transduction. 1.2 An Examples of a Piezoelectric Energy Harvesting System.
1.3 Mathematical Modeling of Piezoelectric Energy Harvesters. 1.4 Summary
of the Theory of Linear Piezoelectricity. 1.5 Outline of the Book. 2. Base
Excitation Problem for Cantilevered Structures and Correction of the
Lumped-Parameter Electromechanical Model. 2.1 Base Excitation Problem for
the Transverse Vibrations. 2.2 Correction of the Lumped-Parameter Base
Excitation Model for Transverse Vibrations. 2.3 Experimental Case Studies
for Validation of the Correction Factor. 2.4 Base Excitation Problem for
Longitudinal Vibrations and Correction of its Lumped-Parameter Model. 2.5
Correction Factor in the Electromechanically Coupled Lumped-Parameter
Equations and a Theoretical Case Study. 2.6 Summary. 2.7 Chapter Notes. 3.
Analytical Distributed-Parameter Electromechanical Modeling of Cantilevered
Piezoelectric Energy Harvesters. 3.1 Fundamentals of the
Electromechanically Coupled Distributed-Parameter Model. 3.2 Series
Connection of the Piezoceramic Layers. 3.3 Parallel Connection of
Piezoceramic Layers. 3.4 Equivalent Representation of the Series and the
Parallel Connection Cases. 3.5 Single-Mode Electromechanical Equations for
Modal Excitations. 3.6 Multi-mode and Single-Mode Electromechanical FRFs.
3.7 Theoretical Case Study. 3.8 Summary. 3.9 Chapter Notes. 4. Experimental
Validation of the Analytical Solution for Bimorph Configurations. 4.1
PZT-5H Bimorph Cantilever without a Tip Mass. 4.2 PZT-5H Bimorph Cantilever
with a Tip Mass. 4.3 PZT-5A Bimorph Cantilever. 4.4 Summary. 4.5 Chapter
Notes. 5. Dimensionless Equations, Asymptotic Analyses, and Closed-Form
Relations for Parameter Identification and Optimization. 5.1 Dimensionless
Representation of the Single-Mode Electromechanical FRFs. 5.2 Asymptotic
Analyses and Resonance Frequencies. 5.3 Identification of Mechanical
Damping. 5.4 Identification of the Optimum Electrical Load for Resonance
Excitation. 5.5 Intersection of the Voltage Asymptotes and a Simple
Technique for the Experimental Identification of the Optimum Load
Resistance. 5.6 Vibration Attenuation Amplification from the Short-Circuit
to Open-Circuit Conditions. 5.7 Experimental Validation for a PZT-5H
Bimorph Cantilever. 5.8 Summary. 5.9 Chapter Notes. 6. Approximate
Analytical Distributed-Parameter Electromechanical Modeling of Cantilevered
Piezoelectric Energy Harvesters. 6.1 Unimorph Piezoelectric Energy
Harvester Configuration. 6.2 Electromechanical Euler-Bernoulli Model with
Axial Deformations. 6.3 Electromechanical Rayleigh Model with Axial
Deformations. 6.4 Electromechanical Timoshenko Model with Axial
Deformations. 6.5 Modeling of Symmetric Configurations. 6.6 Presence of a
Tip Mass in the Euler-Bernoulli, Rayleigh, and Timoshenko Models. 6.7
Comments on the Kinematically Admissible Trial Functions. 6.8 Experimental
Validation of the Assumed-Modes Solution for a Bimorph Cantilever. 6.9
Experimental Validation for a Two-Segment Cantilever. 6.10 Summary. 6.11
Chapter Notes. 7. Modeling of Piezoelectric Energy Harvesting for Various
Forms of Dynamic Loading. 7.1 Governing Electromechanical Equations. 7.2
Periodic Excitation. 7.3 White Noise Excitation. 7.4 Excitation Due to
Moving Loads. 7.5 Local Strain Fluctuations on Large Structures. 7.6
Numerical Solution for General Transient Excitation. 7.7 Case Studies. 7.8
Summary. 7.9 Chapter Notes. 8. Modeling and Exploiting Mechanical
Nonlinearities in Piezoelectric Energy Harvesting. 8.1 Perturbation
Solution of the Piezoelectric Energy Harvesting Problem: the Method of
Multiple Scales. 8.2 Monostable Duffing Oscillator with Piezoelectric
Coupling. 8.3 Bistable Duffing Oscillator with Piezoelectric Coupling: the
Piezomagnetoelastic Energy Harvester. 8.4 Experimental Performance Results
of the Bistable Peizomagnetoelastic Energy Harvester. 8.5 A Bistable Plate
for Piezoelectric Energy Harvesting. 8.6 Summary. 8.7 Chapter Notes. 9.
Piezoelectric Energy Harvesting from Aeroelastic Vibrations. 9.1 A
Lumped-Parameter Piezoaeroelastic Energy Harvester Model for Harmonic
Response. 9.2 Experimental Validations of the Lumped-Parameter Model at the
Flutter Boundary. 9.3 Utilization of System Nonlinearities in
Piezoaeroelastic Energy Harvesting. 9.4 A Distributed-Parameter
Piezoaeroelastic Model for Harmonic Response: Assumed-Modes Formulation.
9.5 Time-Domain and Frequency-Domain Piezoaeroelastic Formulations with
Finite-Element Modeling. 9.6 Theoretical Case Study for Airflow Excitation
of a Cantilevered Plate. 9.7 Summary. 9.8 Chapter Notes. 10. Effects of
Material Constants and Mechanical Damping on Power Generation. 10.1
Effective Parameters of Various Soft Ceramics and Single Crystals. 10.2
Theoretical Case Study for Performance Comparison of Soft Ceramics and
Single Crystals. 10.3 Effective Parameters of Typical Soft and Hard
Ceramics and Single Crystals. 10.4 Theoretical Case Study for Performance
Comparison of Soft and Hard Ceramics and Single Crystals. 10.5 Experimental
Demonstration for PZT-5A and PZT-5H Cantilevers. 10.6 Summary. 10.7 Chapter
Notes. 11. A Brief Review of the Literature of Piezoelectric Energy
Harvesting Circuits. 11.1 AC-DC Rectification and Analysis of the Rectified
Output. 11.2 Two-Stage Energy Harvesting Circuits: DC-DC Conversion for
Impedance Matching. 11.3 Synchronized Switching on Inductor for
Piezoelectric Energy Harvesting. 11.4 Summary. 11.5 Chapter Notes. 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.
Harvesting. 1.1 Vibration-Based Energy Harvesting Using Piezoelectric
Transduction. 1.2 An Examples of a Piezoelectric Energy Harvesting System.
1.3 Mathematical Modeling of Piezoelectric Energy Harvesters. 1.4 Summary
of the Theory of Linear Piezoelectricity. 1.5 Outline of the Book. 2. Base
Excitation Problem for Cantilevered Structures and Correction of the
Lumped-Parameter Electromechanical Model. 2.1 Base Excitation Problem for
the Transverse Vibrations. 2.2 Correction of the Lumped-Parameter Base
Excitation Model for Transverse Vibrations. 2.3 Experimental Case Studies
for Validation of the Correction Factor. 2.4 Base Excitation Problem for
Longitudinal Vibrations and Correction of its Lumped-Parameter Model. 2.5
Correction Factor in the Electromechanically Coupled Lumped-Parameter
Equations and a Theoretical Case Study. 2.6 Summary. 2.7 Chapter Notes. 3.
Analytical Distributed-Parameter Electromechanical Modeling of Cantilevered
Piezoelectric Energy Harvesters. 3.1 Fundamentals of the
Electromechanically Coupled Distributed-Parameter Model. 3.2 Series
Connection of the Piezoceramic Layers. 3.3 Parallel Connection of
Piezoceramic Layers. 3.4 Equivalent Representation of the Series and the
Parallel Connection Cases. 3.5 Single-Mode Electromechanical Equations for
Modal Excitations. 3.6 Multi-mode and Single-Mode Electromechanical FRFs.
3.7 Theoretical Case Study. 3.8 Summary. 3.9 Chapter Notes. 4. Experimental
Validation of the Analytical Solution for Bimorph Configurations. 4.1
PZT-5H Bimorph Cantilever without a Tip Mass. 4.2 PZT-5H Bimorph Cantilever
with a Tip Mass. 4.3 PZT-5A Bimorph Cantilever. 4.4 Summary. 4.5 Chapter
Notes. 5. Dimensionless Equations, Asymptotic Analyses, and Closed-Form
Relations for Parameter Identification and Optimization. 5.1 Dimensionless
Representation of the Single-Mode Electromechanical FRFs. 5.2 Asymptotic
Analyses and Resonance Frequencies. 5.3 Identification of Mechanical
Damping. 5.4 Identification of the Optimum Electrical Load for Resonance
Excitation. 5.5 Intersection of the Voltage Asymptotes and a Simple
Technique for the Experimental Identification of the Optimum Load
Resistance. 5.6 Vibration Attenuation Amplification from the Short-Circuit
to Open-Circuit Conditions. 5.7 Experimental Validation for a PZT-5H
Bimorph Cantilever. 5.8 Summary. 5.9 Chapter Notes. 6. Approximate
Analytical Distributed-Parameter Electromechanical Modeling of Cantilevered
Piezoelectric Energy Harvesters. 6.1 Unimorph Piezoelectric Energy
Harvester Configuration. 6.2 Electromechanical Euler-Bernoulli Model with
Axial Deformations. 6.3 Electromechanical Rayleigh Model with Axial
Deformations. 6.4 Electromechanical Timoshenko Model with Axial
Deformations. 6.5 Modeling of Symmetric Configurations. 6.6 Presence of a
Tip Mass in the Euler-Bernoulli, Rayleigh, and Timoshenko Models. 6.7
Comments on the Kinematically Admissible Trial Functions. 6.8 Experimental
Validation of the Assumed-Modes Solution for a Bimorph Cantilever. 6.9
Experimental Validation for a Two-Segment Cantilever. 6.10 Summary. 6.11
Chapter Notes. 7. Modeling of Piezoelectric Energy Harvesting for Various
Forms of Dynamic Loading. 7.1 Governing Electromechanical Equations. 7.2
Periodic Excitation. 7.3 White Noise Excitation. 7.4 Excitation Due to
Moving Loads. 7.5 Local Strain Fluctuations on Large Structures. 7.6
Numerical Solution for General Transient Excitation. 7.7 Case Studies. 7.8
Summary. 7.9 Chapter Notes. 8. Modeling and Exploiting Mechanical
Nonlinearities in Piezoelectric Energy Harvesting. 8.1 Perturbation
Solution of the Piezoelectric Energy Harvesting Problem: the Method of
Multiple Scales. 8.2 Monostable Duffing Oscillator with Piezoelectric
Coupling. 8.3 Bistable Duffing Oscillator with Piezoelectric Coupling: the
Piezomagnetoelastic Energy Harvester. 8.4 Experimental Performance Results
of the Bistable Peizomagnetoelastic Energy Harvester. 8.5 A Bistable Plate
for Piezoelectric Energy Harvesting. 8.6 Summary. 8.7 Chapter Notes. 9.
Piezoelectric Energy Harvesting from Aeroelastic Vibrations. 9.1 A
Lumped-Parameter Piezoaeroelastic Energy Harvester Model for Harmonic
Response. 9.2 Experimental Validations of the Lumped-Parameter Model at the
Flutter Boundary. 9.3 Utilization of System Nonlinearities in
Piezoaeroelastic Energy Harvesting. 9.4 A Distributed-Parameter
Piezoaeroelastic Model for Harmonic Response: Assumed-Modes Formulation.
9.5 Time-Domain and Frequency-Domain Piezoaeroelastic Formulations with
Finite-Element Modeling. 9.6 Theoretical Case Study for Airflow Excitation
of a Cantilevered Plate. 9.7 Summary. 9.8 Chapter Notes. 10. Effects of
Material Constants and Mechanical Damping on Power Generation. 10.1
Effective Parameters of Various Soft Ceramics and Single Crystals. 10.2
Theoretical Case Study for Performance Comparison of Soft Ceramics and
Single Crystals. 10.3 Effective Parameters of Typical Soft and Hard
Ceramics and Single Crystals. 10.4 Theoretical Case Study for Performance
Comparison of Soft and Hard Ceramics and Single Crystals. 10.5 Experimental
Demonstration for PZT-5A and PZT-5H Cantilevers. 10.6 Summary. 10.7 Chapter
Notes. 11. A Brief Review of the Literature of Piezoelectric Energy
Harvesting Circuits. 11.1 AC-DC Rectification and Analysis of the Rectified
Output. 11.2 Two-Stage Energy Harvesting Circuits: DC-DC Conversion for
Impedance Matching. 11.3 Synchronized Switching on Inductor for
Piezoelectric Energy Harvesting. 11.4 Summary. 11.5 Chapter Notes. 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.