Recent Trends in Applied Nonlinear Mechanics and Physics

Name: Recent Trends in Applied Nonlinear Mechanics and Physics | Selected Papers from CSNDD 2016
Brand: Springer
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Selected Papers from CSNDD 2016

Mohamed Belhaq(Herausgeber*in)

Springer (Verlag)

1. Auflage

Erschienen am 13. November 2017

XI, 278 Seiten

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978-3-319-63937-6 (ISBN)

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Inhalt

Intro
Preface
Contents
Contributors
1 Road Tanker Dynamics Interacting with Liquid Sloshing Dynamics
1.1 Introduction
1.2 Sloshing Modal Analysis
1.2.1 Circular Horizontal Cylinders
1.2.2 Elliptic Horizontal Tanks
1.2.3 Equivalent Mechanical Models
1.3 Rollover of Road Tankers
1.3.1 Overturning Metrics
1.3.2 Quasi-Dynamic Approach
1.3.3 Rollover of Road Tankers
1.3.4 International Standards of Roll Threshold and Drivers Training
1.3.5 Directional Stability and Dynamics
1.4 Coupled Dynamics of Liquid-Tanker Systems
1.4.1 Overview
1.4.2 Liquid-Vehicle Coupling During Braking
1.5 Conclusions and Closing Remarks
References
2 Simulation of Abrasive Wear with a Coupled Approach Considering Particles of Different Sizes
2.1 Introduction
2.2 Simulation Method
2.2.1 Smoothed Particle Hydrodynamics Method
2.2.2 Discrete Element Method
2.2.3 DEM-SPH Coupling
2.2.4 Transport Equation
2.2.5 Loading with Different Particle Sizes
2.2.6 Abrasive Wear Model
2.3 Results for the Pelton Turbine
2.4 Conclusion
References
3 Energy Harvesting in a Hybrid Piezoelectric-Electromagnetic Harvester with Time Delay
3.1 Introduction
3.2 Harvester System and Powers Output
3.3 Main Results
3.4 Conclusions
References
4 Modeling and Parametric Analysis of a Piezoelectric Flexoelectric Nanoactuator
4.1 Introduction
4.2 Problem Formulation
4.3 Free Vibration Analysis
4.4 Static Response
4.5 Dynamic Response
4.6 Electromechanical Coupling Coefficient
4.6.1 Stored Energy at SC Conditions
4.6.2 Stored Energy at OC Conditions
4.6.3 Approximation of the Electromechanical Coupling Coefficient
4.7 Conclusion
References
5 Dynamics of a Chain with Four Particles, Alternating Masses and Nearest-Neighbor Interaction
5.1 Introduction
5.2 Periodic FPU Chains with 4 Alternating Masses
5.3 The a-Chain
5.3.1 The a-Chain for Large Mass m
5.3.2 Second Order Approximation for the a-Chain
5.4 The ß-Chain for Large Mass m
5.4.1 Second Order Approximation for the ß-Chain
5.5 Stability of the Periodic Solutions for Large Mass m
5.6 The Global Picture for Large Mass
5.7 Conclusions and Discussion
References
6 Linear Versus Nonlinear Stability in Hamiltonian Systems
6.1 Introduction
6.2 Two Degrees of Freedom
6.3 Counter-Examples for More Degrees of Freedom
6.3.1 The Influence of Quartic Terms
6.3.2 Instability by the Presence of Mathieu-Tongues
6.4 Application to a Chain with 4 Interacting Particles
References
7 Dynamics and Saturation Control of Rotating Composite Beam with Embedded Nonlinear Piezoelectric Actuator
7.1 Introduction
7.2 Structural Model and Governing Equations
7.3 Hub-Beam System Dynamics
7.3.1 Analysis of a Linear Model
7.3.2 Analysis of a Nonlinear Model
7.3.3 Nonlinear Model with Control
7.4 Conclusions and Final Comments
References
8 Nonlinear Vibrations of a Shallow Arch Subject to Resonant and Low Harmonic Frequency Excitations Under 1:1 Internal Resonance
8.1 Introduction
8.2 Mathematical Model
8.3 Static Analysis
8.4 Perturbation Analysis
8.5 Results and Discussions
8.5.1 Absence of the Low Frequency Excitation i.e., h=0
8.5.2 Effects of the Low Frequency Excitation
8.6 Conclusions
References
9 Extreme Pulse Dynamics in Mode-Locked Lasers
9.1 Introduction
9.2 Modeling Passively Mode-Locked Lasers
9.3 Formation of Extreme Amplitude Spikes
9.4 Bifurcation Diagram
9.5 Spiny Solitons
9.6 Probability Density Functions and Optical Rogue Waves
9.7 Measurement Techniques
9.8 Conclusions
References
10 Periodic and Localized Structures in a Photonic Crystal Fiber Resonator
10.1 Introduction
10.2 Mean Field Model for Photonic Crystal Fiber Cavities
10.3 Weakly Nonlinear Analysis
10.4 Moving Localized Structures
10.5 Conclusions
References
11 Exploring the Nonlinear Stochastic Dynamics of an Orchard Sprayer Tower Moving Through an Irregular Terrain
11.1 Introduction
11.2 Deterministic Analysis
11.3 Stochastic Analysis
11.4 Final Remarks
References
12 Linearization of Nonlinear Resonances Through the Addition of Intentional Nonlinearities
12.1 Introduction
12.2 Mathematical Model and Analytical Procedure
12.2.1 Identification of the Nonlinear Resonant Peak
12.2.2 Objective Functions
12.3 Numerical Validation
12.3.1 Force-Displacement Proportionality
12.3.2 Invariance of the Resonant Frequency
12.3.3 Force Displacement Proportionality and Invariance of the Resonant Frequency
12.4 Conclusions
References
13 Tailoring of Hysteresis Across Different Material Scales
13.1 Introduction
13.2 Hysteresis in Wire Ropes
13.2.1 Tailoring the Wire Ropes Damping in Hysteretic Vibration Absorbers
13.3 Hysteresis in Carbon Nanotube Nanocomposites
13.4 Conclusions
References
14 Three Ways of Treating a Linear Delay Differential Equation
14.1 Introduction
14.2 First Method
14.3 Second Method
14.4 Third Method
14.5 Conclusion
References
15 Nonlinear Damping: From Viscous to Hysteretic Dampers
15.1 Introduction
15.2 Damping
15.2.1 Physical System
15.2.2 Linear and Nonlinear Viscous Damping
15.2.3 Fractional Damping
15.3 Hysteretic Damping
15.3.1 Hysteretic Material
15.3.2 Hysteretic Damping
15.3.3 Main Characteristics
15.4 Numerical Results
15.4.1 Difference Scheme
15.4.2 Simulation Results
15.5 Conclusions
References
Index

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