Recent Trends in Applied Nonlinear Mechanics and Physics
Selected Papers from CSNDD 2016
1st Edition
Published on 13. November 2017
XI, 278 pages
978-3-319-63937-6 (ISBN)
Description
This book presents contributions on the most active lines of recent advanced research in the field of nonlinear mechanics and physics selected from the 4th International Conference on Structural Nonlinear Dynamics and Diagnosis. It includes fifteen chapters by outstanding scientists, covering various aspects of applications, including road tanker dynamics and stability, simulation of abrasive wear, energy harvesting, modeling and analysis of flexoelectric nanoactuator, periodic Fermi-Pasta-Ulam problems, nonlinear stability in Hamiltonian systems, nonlinear dynamics of rotating composites, nonlinear vibrations of a shallow arch, extreme pulse dynamics in mode-locked lasers, localized structures in a photonic crystal fiber resonator, nonlinear stochastic dynamics, linearization of nonlinear resonances, treatment of a linear delay differential equation, and fractional nonlinear damping. It appeals to a wide range of experts in the field of structural nonlinear dynamics and offers researchers and engineers an introduction to the challenges posed by nonlinearities in the development of these topics
More details
Series
Language
English
Place of publication
Cham
Switzerland
Publishing group
Springer International Publishing
Target group
Professional and scholarly
Product notice
Reflowable
Illustrations
XI, 278 p. 143 illus., 90 illus. in color.
File size
14,40 MB
ISBN-13
978-3-319-63937-6 (9783319639376)
DOI
10.1007/978-3-319-63937-6
Schweitzer Classification
Other editions
Additional editions
Mohamed Belhaq
Recent Trends in Applied Nonlinear Mechanics and Physics
Selected Papers from CSNDD 2016
Book
11/2017
Springer
€106.99
Shipment within 10-15 days
Content
- 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
