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Table of contents
1 Introduction
1.1 Motivations
1.2 Objectives
1.3 Outline
2 Piezoelectricity
2.1 Piezoelectric materials
2.2 Mathematical formulations for 3D linear piezoelectricity
2.3 Piezoelectric transducers
2.4 Piezoelectric laminates
3 Beam models of piezoelectric laminates
3.1 Introduction and literature review
3.2 Proposed enhanced Euler-Bernoullimodel
3.3 Standard Euler-Bernoullimodels
3.4 3D Finite Elements
3.5 Numerical comparisons
3.6 Conclusions
4 Numerical Methods for Modal Analysis of Stepped Piezoelectric Beams
4.1 Introduction and literature review
4.2 Problemformulation
4.3 Last Energy Norm(LEN)method
4.4 Galerkinmethods
4.5 Reduced ordermodelling
4.6 Case study and comparisons
5 Passive vibration control through distributed piezoelectric transducers and electric networks
5.1 Introduction and literature review
5.2 Beams with piezoelectric transducers shunted with passive electric networks
5.3 Single shunted piezoelectric transducer
5.4 Distributed wave absorbers for infinite beams
5.5 Modal control with second-order networks
5.6 Conclusions
6 Experiments
6.1 Technical details about the experimental set-ups
6.2 Strain analysis of a beam with piezoelectric transducers
6.3 Experimental modal analysis of stepped piezoelectric beams
6.4 Passive vibration with second-order networks
7 Conclusions
7.1 Summary
7.2 Original contributions
7.3 Suggestions for future works
7.4 Publications
Bibliography
A Constitutive coefficients
A.1 Constitutive coefficients for plane-stress and uniaxial-stress conditions
A.2 Numerical Values
