Nonlinear Dynamics of Structures, Systems and Devices: Proceedings of the International Nonlinear Dynamics Conference NODYCON 2019: Proceedings of the ... Dynamics Conference (NODYCON 2019), Volume I

Preface
	Volume 1: Nonlinear Dynamics of Structures, Systems, and Devices
	Volume 2: Nonlinear Dynamics and Control
	Volume 3: New Trends in Nonlinear Dynamics
Preface for Volume 1: Nonlinear Dynamics of Structures, Systems, and Devices
Contents
Contributors
Part I Methods for Nonlinear Dynamics
	Nonlinear Dynamics of Multibody Systems Using an Augmented Lagrangian Formulation
		1 Introduction
		2 Equations of Motion: Augmented Lagrangian Formulation
		3 Numerical Results
			3.1 Planar Slider-Crank Mechanism
			3.2 Complex Model of a Ground Vehicle
		References
	Stability Boundary Approximation of Periodic Dynamics
		1 Introduction
		2 Statement of the Problem
		3 Averaging Scheme
		4 Monodromy Matrix Approximation
		5 Stability Conditions in 2-Dimensional Case
		6 Two DOF System with Impulse Parametric Excitation
			6.1 High Frequency Stabilization of Inverted Pendulum
			6.2 Exact Stability Conditions
			6.3 Approximate Stability Conditions
		7 Conclusion
		References
	2-Order Normal Form Analysis for a Two-Degree-of-Freedom Nonlinear Coupled Oscillator
		1 Introduction
		2 2-Order Normal Form Analysis
		3 Numerical Results
		4 Conclusions
		References
	Vibrational Mechanics of Systems with Amplitude and Phase Modulation of Excitation
		1 Introduction
		2 Vibrational Forces for a System with Amplitude and Phase Modulation
			2.1 Formulation of Problem
			2.2 The Formula for Vibrational Force
			2.3 Analysis and Main Regularities
			2.4 Example
		3 Conclusions
		References
	Singular Perturbation Techniques and Asymptotic Expansions for Some Complex Enzyme Reactions
		1 Introduction
		2 Auxiliary Enzyme Reactions—Theoretical Framework
		3 Numerical Results and Conclusion
		References
	A Novel Two-Stage Ellipsoid Filtering Based System Modeling Algorithm for a Hammerstein Nonlinear Model with an Unknown Noise Term
		1 Introduction
		2 Problem Statement
		3 The Ellipsoid Volume Minimization Based Filtering Algorithm
		4 Example
		5 Conclusions
		References
	A New Method for the Frequency Response Curve and Its Unstable Region of a Strongly Nonlinear Oscillator
		1 Introduction
		2 Parameter-Splitting-Multiple-Scales Method
			2.1 Parameter Splitting
			2.2 The Solution to the Split System by the MS Method
				2.2.1 Frequency Response Curve
				2.2.2 Unstable Region
				2.2.3 Approximate Response
				2.2.4 Determination of Split Parameters
		3 Illustrative Examples
		4 Conclusions
		References
	Matrix Soliton Solutions of the Modified Korteweg–de Vries Equation
		1 Introduction
		2 Non-commutative Potential KdV, KdVand Modified KdV Hierarchies
		3 Matrix Soliton Solutions
			3.1 Operator Method
			3.2 Soliton Solutions of mKdV Matrix Equation
			3.3 Some Explicit Solutions of the Matrix Modified KdV Equation
		4 Concluding Remarks
		References
Part II Bifurcations and Nonsmooth Systems
	Bifurcations of Limit Directions at Codimension-2 Discontinuities of Vector Fields
		1 Introduction
		2 Extended Filippov Systems
			2.1 Definition of Extended Filippov Systems
			2.2 Limit Directions
			2.3 Types of Limit Directions
		3 Analysis of the Associated Smooth System
			3.1 The Associated Smooth System in Polar Coordinates
			3.2 Equilibrium Points and Bifurcations
		4 Bifurcations of the Limit Directions
			4.1 Relation Between the Associated System and the Original System
			4.2 Tangency Bifurcation
			4.3 Fold of Limit Directions
		5 Conclusion
		References
	Boundary Layer Dynamics of Multibody Systems Involving Impact and Friction
		1 Introduction
		2 Mechanical Systems with a Single Frictionless Impact
		3 Addition of Bilateral Constraints and Friction Effects
		4 Numerical Results
		References
	Creation of Neimark-Sacker Bifurcation for a Three-Degree-of-Freedom Vibro-Impact System with Clearances
		1 Introduction
		2 Vibro-Impact System Under Impulsive StateFeedback Control
		3 Creation of a Stable Neimark-Sacker Bifurcation
			3.1 Design of Linear Control Gains for the Existence of Neimark-Sacker Bifurcation
			3.2 Design of Nonlinear Control Gains for Stabilizing Neimark-Sacker Bifurcation
			3.3 Nonlinear Control Gains Chosen for Adjusting the Amplitude of the Creating Invariant Cycle
		4 Numerical Experiments
		5 Conclusion
		References
	Analogue Models of Rocking Suitcases and Snaking Trailers
		1 Introduction
		2 Mechanical Model of Snaking Trailers
		3 Linear Stability Analysis
			3.1 The Pitch Motion of the Trailer
			3.2 The Yaw and Roll Motion of the Trailer
		4 Simulation
		5 Conclusions
		References
	A Theoretical Model for Vibro-Impact Dynamics of Spur Gears with Tooth Flanks Wear
		1 Introduction
		2 A Mechanism of Mild Wear at Gears Tooth Flanks
		3 A Vibro-Impact Model of Spur Gears with Tooth Flanks Wear
			3.1 The Analytical Procedure Description
			3.2 The Angular Velocities Variation During Vibro-Impact
		4 Results and Discussion: A Case Study
			4.1 Determination of Input Parameters
			4.2 Results for Vibro-Impact Oscillations
		5 Conclusions
		References
	Stability of Coupled and Damped Mathieu Equations Utilizing Symplectic Properties
		1 Introduction
		2 Floquet Theory Review
		3 μ-Symplectic and γ-Hamiltonian Matrices
		4 Linear γ-Hamiltonian Systems
			4.1 Periodic γ-Hamiltonian Systems
		5 Coupled Mathieu Equations with Damping
		6 Conclusions
		References
	Asymmetry in the Basin Stability of Oscillation Death States Under Variation of Environment-Oscillator Links
		1 Introduction
		2 Coupling via Common Environment
		3 Fractionally Disconnected Links
		4 Discussion
		References
	The Occurrence of Zero-Hopf Bifurcation in a Generalized Sprott A System
		1 Introduction
		2 Invariant Spheres of Generalized Sprott A System
		3 Zero-Hopf Bifurcation via Averaging Theory
			3.1 Averaging Theory of First Order
			3.2 Existence of a Periodic Orbit
		4 Existence of Nested Invariant Tori
		5 Concluding Remarks
		References
Part III Nonlinear Phenomena in Mechanical Systems and Structures
	External and Internal Resonances in a Mass-Spring-Damper System with 3-dof
		1 Introduction
		2 Description of the Problem
		3 Mathematical Model
		4 Approximate Analytical Solution
		5 External Resonance
		6 Internal Resonance
		7 Concluding Remarks
		References
	Internal Resonances in an Imperfect Circular Cylindrical Panel
		1 Theoretical Formulation
		2 Numerical Results
		3 Concluding Remarks
		References
	Weakly Nonlinear Liquid Sloshing: Modelling and Exploration of Response Regimes
		1 Introduction
		2 Model Description
		3 Dynamical Regimes
			3.1 Periodic Responses
			3.2 Weak Quasi-Periodic Responses
			3.3 Strongly Modulated Responses (SMRs)
		4 Numerical Results
		5 Concluding Remarks
		References
	Catenary-Based Nonlinear Multimodal Theory of CableFree Vibrations
		1 Introduction
		2 Equations of Motion and Discretization
		3 Multiple Scale Solution
		4 Numerical Results
		5 Conclusion
		References
	Flexural and Sway Interaction in the Nonlinear Vibrations of a Phenomenological Model of a Laterally Braced Column
		1 Introduction
		2 Formulation, Static Analysis, and Natural Frequencies
		3 Nonlinear Dynamics Analysis
		4 Conclusion
		References
	Influences of Temperature on Dynamic Behaviors of Suspended Cables Under Primary and Sub-Harmonic Excitations Simultaneously
		1 Introduction
		2 Mathematical Modeling
		3 Perturbation Analysis
		4 Numerical Examples and Discussions
		5 Conclusions
		References
	Analysis of a Shape Memory Alloy Spring System Under Harmonic Excitation
		1 Introduction
		2 Mathematical Model
		3 Numerical Simulation Method and Results
		4 Conclusions
		References
	Vibration of Pre-Loaded Shallow Circular Arches
		1 Introduction
		2 Statics of Uniformly Loaded Shallow Arches
		3 Small Vibration About Nonlinear Equilibria
		4 Final Remarks
		References
	Nonlinear Vibration Responses of Laminated Composite Cantilever Plate in Subsonic Air Flow
		1 Introduction
		2 Derivation of the Subsonic Aerodynamic Force on the Flat Plate
		3 Formulation
		4 Conclusion
		References
	Adaptation of Energy Dissipation in a Laminated Module with Tunable Twin Wells
		1 Introduction
		2 Model Development
		3 Approximate Approaches
			3.1 Intrawell Oscillations
			3.2 Interwell Oscillations
		4 Frequency Response Curves and Dissipation Investigation
			4.1 Excitation Frequency
			4.2 Potential Function
		5 Conclusion
		References
	The Duffing–Mathieu Equation Arising from Dynamics of Post-Buckled Beams
		1 Introduction
		2 The Mechanical Model and Equation of Motion
			2.1 The Dimensionless Equation of Motion
			2.2 The Galerkin Discretization and Duffing–Mathieu Equation
		3 On the Stability Charts and a Bifurcation Diagram
		4 Conclusions
		References
	Resonance-Induced Energy Localization in Weakly Dissipative Anharmonic Chains
		1 Introduction
		2 Equations of the Resonant Dynamics
		3 Resonance in Non-dissipative Chains
		4 Energy Localization in Weakly Dissipative Chains
		5 Concluding Remarks
		References
Part IV Experimental Dynamics, System Identification and Monitoring
	Torsional Analysis of Transmission Line Cables
		1 Introduction
		2 Material and Method
		3 Results
		4 Conclusions
		References
	Application of a Stochastic Version of the Restoring Force Surface Method to Identify a Duffing Oscillator
		1 Introduction
		2 Experimental Apparatus
		3 Mechanical–Mathematical Modeling
		4 Stochastic System Parameters Identification
		5 Results and Discussion
		6 Final Remarks
		References
	Modeling of the Hysteretic Behavior of Wire Rope Isolators Using a Novel Rate-Independent Model
		1 Introduction
		2 Proposed Hysteretic Model
			2.1 PHM Formulation
				2.1.1 Generalized Rate-Independent Force
				2.1.2 History Variable
			2.2 Parameter Sensitivity Analysis
		3 Experimental Verification
			3.1 Tested Wire Rope Isolator
			3.2 Simulation of the Experimental Behavior
		4 Conclusions
		References
	A Non-linear Model of Rubber Shear Springs Validatedby Experiments
		1 Introduction
		2 Model Development
			2.1 Elastic Model
			2.2 Friction Model
			2.3 Viscous Model
		3 Experimental Cyclic Tests of Shear Rubber Springs
		4 Results and Discussion
		5 Conclusion
		References
	Operational Modal Analysis on a Six-Degree-of-Freedom Parallel Manipulator: Reproducibility, Excitation and Pose Dependency
		1 Introduction
		2 Experimental Setup
		3 Results and Discussion
			3.1 Reproducibility
			3.2 Shaker Reorientation and Relocation
			3.3 Pose Dependency
		4 Conclusion
		References
	Shaking Table Investigation on the Masonry Structures Behaviour to Earthquakes with Strong Vertical Component
		1 Introduction
		2 Description of the Experimental Tests
			2.1 Tested Masonry Building Model
			2.2 Experimental Setup
			2.3 Experimental Results
		3 Simplified Rocking Model
		4 Conclusions
		References
	Quantifying Rate-Dependence of a Nonlinear Hysteretic Device
		1 Introduction
		2 Test Apparatus and Experimental Campaign
			2.1 Results of Group A and Group B Tests
			2.2 Results of Group C
			2.3 Results of Group D
		3 Rate-Dependence Matrices
		4 Conclusions
		References
	Application of Photoelasticity to Some Nonlinear Dynamic Problems and Stress State Analysis in Dams: A Brief Overview Inspired by the Results of Prof. Vlatko Brčić
		1 Introduction
		2 Photoelasticity: Development and Dam Testing Applications
			2.1 Invention and Early Development of Photoelasticity
			2.2 Static Photoelastic Analysis of Dams and Prof. Brčić\'s Contribution
			2.3 Improvements of the Method and Its Contemporary State
		3 Contemporary Use of Photoelasticity in Nonlinear Dynamics
		4 Concluding Remarks
		References
Part V Fluid–Structure Interaction, Multibody System Dynamics
	Levitated and Parametrically Excited Sphere Dynamics in a Single-Axis Ultrasonic Levitator
		1 Introduction
		2 Derivation of the Governing Equations of Motion
		3 Approximate Analytical Solution
		4 Numerical Simulation Verification
		5 Preliminary Experimental Results
		6 Summary and Conclusions
		References
	Modelling VIV of Transversally Oscillating Rigid Structures Using Nonlinear Fluid Oscillators
		1 Introduction
		2 Mathematical Model: Modification and Calibration
		3 Results and Discussion
		4 Conclusions
		References
	Asymptotic Analysis of a Dynamical System for Vortex-Induced Vibration and Galloping
		1 Introduction
		2 Wake-Oscillator Model
		3 Asymptotic Analysis
		4 Discussion of Results
		5 Concluding Remarks
		References
	A Quasi-Steady 3-DoFs Sectional Aerodynamic Model: Preliminary Results
		1 Introduction
		2 Aeroelastic Model
		3 Stability Conditions
		4 Application to a Full-Scale Dry Inclined/Yawed Cable
		5 Conclusions
		References
	Lie Group Dynamics of Multibody System in Vortical Fluid Flow
		1 Introduction
		2 Multibody System Dynamics in Fluid Flow
		3 Boundary Element Method
		4 Point Vortices
		5 Conclusions
		References
	Damping Models in Aircraft Flutter Analyses
		1 Introduction
		2 Theoretical Issues on Linear Viscoelastic Models and Their Performances
		3 Aeroviscoelastic Model
		4 Results
		5 Concluding Remarks
		References
	Dynamic Response of a Morphing Wing
		1 Introduction
		2 Problem Formulation
		3 Numerical Results
		4 Conclusions
		References
	Helicopter Pilot Biomechanics by Multibody Analysis
		1 Introduction and Motivation
		2 Multibody Models
			2.1 Upper Limb Model
			2.2 Trunk Model
			2.3 Models Parameterization
		3 Examples
		4 Conclusions
		References
	Derivation of Non-dimensional Equation of Motion for Thin Plate in Absolute Nodal Coordinate Formulation
		1 Introduction
		2 Derivation of Non-dimensional Equation of Motion
			2.1 Non-dimensional Mass Matrix
			2.2 Non-dimensional Stiffness Matrix
			2.3 Non-dimensional Force Vector
		3 Numerical Solution of Non-dimensional Equation of Motion
		4 Conclusions
		References
Part VI Turning Processes, Rotating Systems, and Systems with Time Delays
	Approximated Dynamics of Chatter in Turning Processes
		1 Motivation
		2 Modelling and Analysis
			2.1 Model Formulation
			2.2 Stability
			2.3 Bifurcation Analysis
		3 Conclusion
		References
	Chaotic Dynamics in Spinning Shafts with Non-constant Rotating Speed Described by Variant Lyapunov Exponents
		1 Introduction
		2 Trajectories Around Equilibrium Manifolds
		3 Numerical Results and Discussion
		4 Conclusions
		5 Acknowledgments
		References
	Post-Resonance Backward Whirl in a Jeffcott Rotor with a Breathing Crack Model
		1 Introduction
		2 Mathematical Model
			2.1 Jeffcott Rotor Model
			2.2 Numerical Simulation Results
		3 Conclusions
		References
	Proper and Smooth Orthogonal Decompositions for Detection of Inner Race Defects in Rolling Element Bearings with Variable Rotational Speeds
		1 Introduction
		2 Experimental Setup and Data Collection
		3 Diagnostic Method
			3.1 Proper Orthogonal Decomposition
			3.2 Smooth Orthogonal Decomposition
			3.3 Feature Extraction and Supervised Learning
		4 Fault Detection Results
		5 Conclusions
		References
	Effect of the Compliance of the Part on the Double-Turning Process
		1 Introduction
		2 Design Scheme and Dynamic Models
		3 Analysis of the Calculation Results
		4 Conclusion
		References
	Effect of the Regenerative and Frictional Force on Chatter in Turning Process
		1 Introduction
		2 Model
		3 Effect of the Regenerative Force and Frictional Force
		4 Conclusions
		References
	Noise-Induced Transitions and Resonances in a Delayed Triple-Well Potential System
		1 Introduction
		2 Noise-Induced Transition
		3 Noise-Induced Resonance
		4 Conclusions
		References
	Application of the Second Dimension Reduction Method in Nonlinear Rotor Dynamic System
		1 Introduction
		2 Finite Element Model of Dual Rotor-Bearing System
		3 First Dimension Reduction for Dual Rotor-Bearing System
		4 Second Dimension Reduction for Dual Rotor-Bearing System
		5 Results and Discussions
		Appendix
		References
	Vibration Analysis of Washing Machines in the Drum Plane
		1 Introduction
		2 Mathematical Modeling
		3 Results and Discussion
		4 Conclusion
		References
	Nonlinear Model for Wear Effects in Hydrodynamic Bearings Applied to Rotating Systems
		1 Introduction
		2 Numerical Model
		3 Results and Discussion
		4 Conclusions
		References
Author Index
Subject Index