The phenomenon of higher harmonic generation

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Table of contents

CHAPTER 1: OVERVIEW OF MECHANICAL MODELS OF ROUGH CONTACT
1.1 INTRODUCTION
1.2 MODELING OF CONTACT INTERFACES
1.2.1. BILINEAR MODELS
1.2.2. CONTACT LAWS
1.2.2.1. Contact unilateral
1.2.2.2. Rough interface models in compression
1.2.2.3. Rough interface modelling with a traction-free condition
1.2.2.4. Models involving adhesion
1.3 NDT METHODS FOR INTERFACE CHARACTERIZATION
1.3.1. NL RESONANCE SPECTROSCOPY
1.3.2. GENERATION OF HIGHER HARMONICS
1.3.3. NL SPECTROSCOPY BY WAVE MODULATION
1.3.4. SUB-HARMONICS
1.4 POSITIONING OF THE THESIS WORK
CHAPTER 2: MATERIALS AND METHODS
2.1 DESCRIPTION OF THE METHODOLOGY
2.2 EXPERIMENTAL TOOLS
2.2.1 EXPERIMENTAL SET-UP
2.2.2 INTERFACE STIFFNESS PRELIMINARY CHARACTERIZATION
2.3 NUMERICAL IMPLEMENTATION TOOLS
2.3.1 1D MODELLING OF THE EXPERIMENTAL SYSTEM
2.3.2 SIMPLIFIED MODEL
2.3.3 EQUATIONS
2.3.4 NUMERICAL IMPLEMENTATION
2.3.5 ALGORITHM
2.4 CONCLUDING REMARKS
CHAPTER 3: NONLINEAR ANALYSIS OF THE RCCM CONTACT LAW WITH ADHESION 
3.1 VALIDATION OF THE NUMERICAL MODEL
3.2 INTERFACE DYNAMIC BEHAVIOUR: COMPARISON BETWEEN RCCM CONTACT LAW AND UNILATERAL LAW
3.3 PARAMETRIC ANALYSIS
3.3.1 INFLUENCE OF THE CONTACT STIFFNESS ON THE NONLINEAR SIGNATURE OF THE RCCMLAW
3.3.2 INFLUENCE OF THE FREQUENCY ON THE NONLINEAR SIGNATURE OF THE RCCM CONTACT LAW
3.3.3 INFLUENCE OF THE DECOHESION ENERGY ON THE NONLINEAR SIGNATURE OF THE RCCM CONTACT LAW
3.3.4 INFLUENCE OF THE VISCOSITY ON THE NONLINEAR SIGNATURE OF THE RCCM CONTACT LAW
3.1. IDENTIFICATION OF CONTACT LAW PARAMETERS
3.4 CONCLUDING REMARKS
CHAPTER 4: NORMAL CONTACT STIFFNESS IN COMPRESSION
4.1 APPROACH FOR THE NONLINEAR STIFFNESS ANALYSIS
4.2 NEW CONTACT LAW: MODIFIED POWER-LAW
4.3 EXPERIMENTAL AND NUMERICAL COMPARISON
4.3.1 DYNAMIC RESPONSE OF THE CONTACT SYSTEM
4.3.2 NONLINEAR RESPONSE OF THE INTERFACE
4.4 CONCLUDING REMARKS
CHAPTER 5: CONTACT LAW IN COMPRESSION AND TRACTION
5.1 WAVE SCATTERING CONFIGURATION
5.2 VALIDATION OF THE NUMERICAL MODEL
5.2.1 ANALYTICAL SOLUTION FOR LINEAR SPRING WITH AND WITHOUT CONTACT LOSS
5.2.1.1 Without contact loss
5.2.1.2 With contact loss
5.2.2 NUMERICAL AND ANALYTICAL COMPARISON
5.3 RESULTS AND DISCUSSION
5.3.1 LINEAR SPRING IN COMPRESSION
5.3.2 NONLINEAR STIFFNESS IN COMPRESSION
5.3.2.1 Undamaged interface
5.3.2.2 Damaged interface
5.4 CONCLUDING REMARKS
GENERAL CONCLUSION
6.1 ORIGINAL MAIN CONTRIBUTIONS
6.2 OUTLINES AND FUTURE STEPS
BIBLIOGRAPHY