Advances in Nonlinear Dynamics, Volume III

Name: Advances in Nonlinear Dynamics, Volume III | Proceedings of the Third International Nonlinear Dynamics Conference (NODYCON 2023)
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Proceedings of the Third International Nonlinear Dynamics Conference (NODYCON 2023)

Walter Lacarbonara(Herausgeber*in)

Springer (Verlag)

1. Auflage

Erschienen am 1. Mai 2024

XVI, 664 Seiten

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Inhalt

Intro
Preface
Preface for Volume 3: New Trends in Nonlinear Dynamics
Contents
Part I MEMS/NEMS
The intersection of Noise, Amplitude, and Nonlinearity in a High-Q Micromechanical Torsion Pendulum
1 Introduction
2 Sensitivity of a Torsion Pendulum to Gravity
2.1 Parametric Frequency-Gravity Coupling
2.2 Thermal Noise
2.3 Timing Uncertainty Due to Thermal Noise
3 Nonlinear Equation of Motion
3.1 Torques Arising from Bifilar Effect
3.2 Torques Arising from Midplane Stretching
3.3 Free Oscillations Without Damping
4 Analytical Approximation for Frequency-Amplitude Coupling
4.1 Parametric Frequency Noise
5 Comparison of Analytical Results and Simulations
6 Conclusions
References
A Comparative Study of Two Types of Bifurcation-Based MEMS Sensors
1 Introduction
2 Sensor
2.1 Design
2.2 Modal Analysis
2.3 Functionalization
2.4 Bifurcations
3 Experiment
4 Results and Discussion
5 Conclusions
References
How to Excite Anti-symmetric Modes in a Symmetric MEMS?
1 Introduction
2 MEMS Resonator and Experimental Set-Up
3 MEMS Characterization
4 Symmetric-Anti-symmetric Modal Interaction
5 Conclusions
References
Control of an Electrostatically Actuated Micro Portal Frame with 2:1 Internal Resonance Subjected to Damping Disturbances
1 Introduction
2 The Micro Portal Frame Resonator
2.1 Design and Fabrication
2.2 Equations of Motion
2.3 Experimental Setup and Characterization
2.4 The Linear Quadratic Regulator (LQR) Control
3 Results and Discussion
3.1 Characterization and Experimental Data
3.2 Air-Damping Conditions Versus Saturation Phenomenon
4 Conclusions
References
Vibration Mitigation by Two Parametric Anti-resonances in High-Q Resonators: A Preliminary Case Study
1 Introduction
2 Problem Description
3 Parametric Anti-resonance Analysis
4 Pulsed Parametric Excitation
5 Conclusions
References
Part II Chaotic Systems and Uncertainty
Self-supervised Contrastive Learning for Chaotic Time-Series Classification
1 Introduction
2 TS-TCC Framework, Dynamical System, and Decomposition Algorithm
2.1 Machine Learning Methods Applied and the TS-TCC Framework
2.2 Dynamical System and Time-Series Data
2.3 Training Data
2.4 Decomposition Algorithm
2.5 Training Setup
3 The Results
4 Conclusions
References
Comprehensive Study of Electrical Power Grid Stability Issues Using Bifurcation and Chaos Theory
1 Introduction
2 Mathematical Models and Results Discussion
2.1 Voltage Collapse Phenomenon (VC)
2.2 Subsynchronous Resonance Phenomenon (SSR)
3 Conclusions
References
Multi-dimensional Nonlinearity Time Series Forecasting Based on Multi-reservoir Echo State Network
1 Introduction
2 Echo State Network
3 Methods
4 Experiment and Analysis
4.1 One-Dimensional Nonlinear System Prediction
4.2 Multidimensional Nonlinear System Prediction
5 Conclusion
References
Time-Periodic Perturbation Leading to Chaos in a Planar Memristor Oscillator Having a Bogdanov-Takens Bifurcation
1 Introduction
2 Linear Analysis and Bifurcations of System (1)
3 Time-Periodic Perturbation of System (1)
4 Multistability in System (3)
References
Structural Reliability Analysis Based on the Dynamic Integrity of an Attractor: Part I
1 Introduction
1.1 Determination of the Buckling Strength of a Structure: A Historical Perspective
1.2 Integrity Measures and Erosion Profiles
2 Statistical Properties and Probability Density Functions of Input and Output
2.1 A Simplified Procedure to Evaluate the Dynamic Integrity Statistical Properties
2.2 A Formal Procedure to Evaluate the Dynamic Integrity Statistical Properties
3 Application to an Archetypal Model
4 Concluding Remarks
References
Untitled
Chaotic Dynamic Induced by PI Control in Offshore Oil Production Plants
1 Introduction
2 Mathematical Modelling
2.1 PI Controller
3 Results
3.1 Open-Loop Responses in a Gas-Lift Well
3.2 PI Control Dynamics in a Gas-Lift Well
3.3 Induced Chaotic Behavior
4 Conclusions
References
The Jerk Dynamics of Lorenz Model
1 Introduction
2 Preliminaries
3 Lorenz Model
4 Lorenz Jerk System
5 Discussion
References
Spiral Bevel Gears Nonlinear Dynamics: Chaotic Response Existence in Multi Degree of Freedom Systems
List of Symbols
1 Introduction
2 Dynamic model
3 Numerical results
4 Conclusion
References
Coexistence of Hidden Attractor and Self-Excited Attractors on the Plane
1 Introduction
2 PWL System in R3
3 Planar System
4 Multistability
5 Conclusion
References
Compact Multiplier-less CORDIC-Based FPGA Implementation of Sine and Modified Sine Chaotic Maps
1 Introduction
2 Chaotic Maps with Trigonometric Nonlinearities
2.1 Sine Map
2.2 Modified Sine Map
3 Hardware Implementation
3.1 CORDIC Algorithm
3.2 Hardware Architecture
4 Hardware Results
5 Conclusion
References
Fixed-Time Adaptive Neural Tracking Control for a Helicopter-Like Twin Rotor MIMO System
1 Introduction
2 Modeling of Twin Rotor MIMO System
3 Fixed-Time Adaptive Neural Tracking Control
4 Simulation Results
5 Conclusion
References
A New Key Generator Based on an Auto-Switched Hybrid Chaotic System and Its FPGA Implementation
1 Introduction
2 Methods
2.1 Modeling
3 Results and Discussion
3.1 Simulation Results
3.2 Real-Time FPGA Implementation
3.3 Visualization of Implantation Results
3.4 Statistical Tests
4 Conclusion
References
Critical Dynamics of Kuramoto Model on Erdös-Rényi Random Graphs
1 Introduction
2 Analysis
3 Numerical Simulation
4 Conclusions
References
Part III Energy Harvesting
Numerical Simulations of Energy Harvesting in a Portal Frame Coupled with a Nonlinear Energy Sink
1 Introduction
2 Mathematical Model
2.1 The 0-1 Test Method
3 Numerical Simulations
3.1 Numerical Analysis of the Influence of the Parameter e4
3.2 Numerical Analysis of the Influence of the Parameter e
4 Conclusions
References
Leveraging 2:1 Parametric Resonance in a Notional Wave Energy Harvester
1 Introduction
2 Mathematical Model
3 Results
4 Conclusions
References
Experimental Testing of a Bi-stable Point Wave Energy Absorber Under Harmonic Waves
1 Introduction
2 Experimental Setup
3 Results
3.1 Description of the B-PWA Motion
3.2 Effective Bandwidth
4 Conclusion
References
Optimization of Energy Harvesting from a Nonlinear Energy Sink
1 Introduction
2 Tuned Mass Damper-Energy Harvester Model
3 Bi-objective Optimization: Pareto Front Generation
4 Noisy Nonlinear Energy Sink-Energy Harvester
5 Concluding Remarks
References
Enhancing Aeroelastic Wind Energy Harvesting Using Quasi-Zero Stiffness
1 Introduction
2 Design of 2DOF Quasi-Zero Stiffness Galloping Energy Harvester
2.1 Conceptual Schematic
2.2 Configuration of the Prototype
2.3 Modeling
3 Results and Discussions
4 Conclusions
References
Part IV Constitutive and Phenomenological Models
Stochastic Delay Modeling of Landslide Dynamics
1 Introduction
2 Applied Methodology
3 Results
4 Conclusions
References
A New Methodology for Nonlinear Analysis of Magneto-Rheological Elastomers Behavior Under Large Amplitude Oscillatory Axial (LAOA) Loadings
1 Introduction
2 Material and Method
2.1 Sample
2.2 Dynamic Axial Test Bench
3 Methodology
3.1 Stress-Strain Hysteresis Response
3.2 Quantification of Nonlinear Response
4 Conclusion
References
Magneto-Dynamic Characterization of a Silicone Filament Embedded with Magnetic Composite Microspheres
1 Introduction
2 Fabrication and Test Setup
3 Results and Discussion
4 Conclusion
References
Modeling Asymmetric Hysteresis: Continuous Development Using Experimental Data
1 Introduction
2 Experimental Setup
3 Extended Masing Model for Symmetric Hysteresis
4 Generalizing Extended Masing Model for Asymmetric Hysteresis
5 Concluding Remarks
References
Preliminary Results on the Simulation of Pressurized Sand Dampers by Using the Vaiana-Rosati Model
1 Introduction
2 Pressurized Sand Damper
2.1 Properties of the Tested Device
2.2 Experimental Hysteretic Behavior
3 Vaiana-Rosati Model
3.1 Rate-Independent Hysteretic Force
3.2 Rate-Independent Hysteretic Work
3.3 Rate-Independent Hysteretic Work Associated with a Single Loop
3.4 Parameter Sensitivity Analysis
4 Simulation of Experimental Hysteresis Loops
5 Conclusions
References
Modified Bouc-Wen Model with Damage and Flexibility Increase for the Dynamic Analysis of Masonry Walls
1 Introduction
2 Bouc-Wen Hysteresis with Damage and Flexibility Increase
3 Macroelement Dynamic Formulation
4 Results and Discussion
5 Conclusions
References
Constrained Green's Function for a Beam with Arbitrary Spring and Nonlinear Spring Foundation
1 Introduction
2 Solution of Green Function with Arbitrary Spring
2.1 Control Equation with Spring Beam
2.2 Green's Functions for Steady-State Dynamic Problems
2.3 Determination of Constants
3 Green Function of Beam with Nonlinear Foundation
4 Numerical Results and Discussion
4.1 Validity of the Present Solutions
4.2 Effect of Arbitrary Spring
4.3 Effect of Linear Equal Stiffness Spring Foundation
4.4 Effect of Nonlinear Spring Foundation
5 Conclusion
References
Experimental Characterization and Identification of the Shear Hysteretic Behavior of a Helical Wire Rope Isolator
1 Introduction
2 Helical Wire Rope Isolator
3 Hysteresis Models
3.1 Generalized Bouc-Wen Model
3.2 Vaiana-Rosati Model
4 Identifications and Dynamic Simulations
5 Conclusions
References
Part V Fractional-Order Systems
Reliability Problem of a Fractional Stochastic Dynamical System Based on Stochastic Averaging Method and Data-Driven Deep Learning Algorithm
1 Introduction
2 VDP System with Fractional Derivatives Excited by White Gaussian Noise
2.1 Equivalent VDP Oscillator
2.2 Stochastic Averaging
3 Deep Learning
3.1 Selection of Training Data
3.2 Neural Networks
3.3 Loss Function
3.4 Adam
4 Numerical Simulation
4.1 Reliability Function
5 Conclusions
References
On the Dynamics Analysis of Fractional-Type Microresonator System
1 Introduction
2 Dynamic Model of Microresonator
2.1 Integer-Order Differential Equations of Microresonator
2.2 Fractional-Order Differential Equation of Microresonator
3 Predicting the Behavior of the Fractional-Order Differential Equation
3.1 Analysis of Equilibrium Points and Their Stability for the Integer-Order Dynamics Model
3.2 Simulation of Fractional-Order Differential Equation for Microresonator
4 The Effects of Varying the Fractional-Orders of Dynamics Model on the Motion of Microresonator
5 Conclusions
References
Bird-Like Trajectories in 6D Chaotic System Integrated with Fractional Order Derivative, Memristor, and Encryption
1 Introduction
2 Fractional Derivative and Its Approximation
3 Novel Chaotic System Model
4 Nonlinear Chaotic Dynamical System Analysis
4.1 Equilibrium Points and Stability Analysis
4.2 Lyapunov Exponent, Kaplan-Yorke, and Maximal Lyapunov
5 Chaotic System Circuit Implementation
6 Amalgamated Image Encryption and Security Analysis
7 Conclusion
References
Generalized Fractional-Order Complex Logistic Map and Fractals on FPGA
1 Introduction
2 The Genesis of Generalized Fractional Complex Logistic Map
2.1 Literature Survey
2.2 Generalized Fractional Complex Logistic Map
3 Fractal Generation
4 FPGA Implementation and Results
5 Conclusion
References
Fractional Control Performance Assessment of the Nonlinear Mechanical Systems
1 Introduction
2 Algorithms and Methods
2.1 The a-Stable Distribution
2.2 Control Performance Assessment
2.3 ARFIMA Models
2.4 Non-stationarity Tests
3 The Process and Experiments
4 Results
5 Conclusions
References
Part VI System Identification and SHM
Nonlinear System Identification of a Multi-story Building with Geometrical Nonlinearity Using a Deterministic Output-Only-Data Approach
1 Introduction
2 Deterministic Nonlinear System Identification
3 Experimental Testing
4 Results and Discussion
4.1 Linear Modal Analysis
4.2 Nonlinear System Identification
5 Discussion
6 Conclusion
References
An Approach to Monitor Bolt Faults in Two-Dimensional Structures Without Reference
1 Introduction
2 Dynamic Features
2.1 The Model of Two-Dimensional Structures
2.2 Output Spectra of the MDOF Model
3 An Improved Inspecting Method
3.1 Damage Features and Indexes
3.2 Procedures of the Method
4 Studies of Simulation Cases
5 Conclusion
References
Physics-Informed Sparse Identification of a Bistable Nonlinear Energy Sink
1 Introduction
2 Modeling and Identification
2.1 Modeling of a TBNES
2.2 Physics-Informed Sparse Identification of TBNES
3 Numerical Example
4 Experimental Validation
5 Conclusions
References
Simultaneous Estimation of Multiple Backbone Curves Using Smooth Coordinate Tracking
1 Introduction
2 Smooth Coordinate Tracking
2.1 Smooth Coordinate Decomposition
2.2 Smooth Coordinate Pairs
3 Tracking of Nonlinear System Backbone
3.1 Obtaining Clean SCPs
3.2 Instantaneous Frequency
3.3 Instantaneous Amplitude
4 Mechanical Examples
4.1 Numerical: Duffing Oscillator
4.2 Experiment: Large Pendulum Oscillations
4.3 Numerical: Mechanical Oscillator
5 Discussion
6 Conclusion
References
Optimizing Multilayer Perceptrons to Approximate Nonlinear Quaternion Functions
1 Introduction
2 Quaternion Algebra
3 Hypercomplex Multilayer Perceptrons
3.1 Feedforward Propagation
3.2 Network Error Computation
3.3 Backpropagation and Corrections
4 HMLP with Learning-on-Learning Optimization Algorithm
5 Numerical Results
6 Conclusions
References
Experimental Characterization and Phenomenological Modeling of Wire Rope Isolators
1 Introduction
2 Experimental Characterization
2.1 Test Setup
2.2 Testing Parameters' Influence
3 Phenomenological Model
3.1 Improved Phenomenological Model
4 Parameters' Optimization
5 Model Validation
6 Conclusions
References
Multilayer Radical Morphing: Shape Transitions and Vibration
1 Introduction
2 Design of a Polymeric Film with Cyclic Memory
3 Experimental
4 Results and Discussions
4.1 Functional Response
4.2 Time- and Frequency-Domain Analysis of the Functional Response
5 Conclusions
References
A Novel Vibration Response-Based Approach to Monitor Faults in Bolted Complex Structures
1 Introduction
2 Dynamic Characteristics
2.1 The Model of Substructures
2.2 Vibration Response of the Model
3 A Novel Monitoring Approach
3.1 Fault Features and Index
3.2 Procedures of the Approach
4 Studies of Experimental Cases
5 Conclusion
References
Data-Driven Delay Identification with SINDy
1 Introduction
2 Sparse Identification of Nonlinear Dynamics for Time-Delay Identification
3 Time-Delay Identification of a System with Single Delay Using SINDy
4 Time-Delay Identification of a System with Multiple Delays Using SINDy
5 Conclusion
References
Uncertainty Quantification in Parameter Estimation Using Physics-Integrated Machine Learning
1 Introduction
2 Methodology
3 Asymptotic Analysis
4 Gaussian Process Regression Model
5 Coupling Coefficient Estimations
5.1 Physics-Based Features and Data-Based Features
5.2 Development of the GPR Model
5.2.1 Data Generation
5.2.2 Hyper-parameter Determination
5.3 Weak Nonlinear Scenario
5.4 Strong Nonlinearity
5.5 Uncertain Parameter Scenario
6 Conclusion
References
Physics Enhanced Sparse Identification of Nonlinear Oscillator with Coulomb Friction
1 Introduction
2 Sparse Identification with Runge-Kutta Constraint (RK4-SINDy): A Review
3 RK4-SINDy with Partially Known Governing Equations
4 Nonlinear Oscillator with Friction Case Study
5 Results
5.1 Artificially Generated Data
5.2 Experimental Data
6 Conclusions
References
Recycled Smart Devices for Real-Time Monitoring of Civil Infrastructures
1 Introduction
2 Monitoring Real-Time Data Using Recycled Smart Devices
3 The Hardware and Ad Hoc Apps
4 Experimental Campaign
5 Conclusions
References
Part VII Nonlinear Wave Propagation
Excitations of Distorted Magnetosonic Lump Waves by Orbital Charged Space Debris Objects in Ionospheric Plasma
1 Introduction
2 Derivation of Novel Distorted Magnetosonic Lump Wave Solution of Forced KPI Equation
3 Results and Discussions
4 Conclusions
References
Harmonic and Superharmonic Components in Periodic Waves Propagating Through Mechanical Metamaterials with Inertial Amplification
1 Introduction
2 Mechanical Metamaterial
2.1 Equation of Motion
3 Wave Propagation
3.1 Linear Dynamics
3.2 Nonlinear Dynamics
4 Conclusions
Appendix
References
Fast Numerical Solution to Nonlinear Shallow Water System
1 Introduction
2 Problem Statement
2.1 Mathematical Model
2.2 Hardware Solution for Computer Code Acceleration
3 Numerical Experiments
3.1 Numerical Modeling Setup
3.2 Computational Grid and Tsunami Source
3.3 Numerical Results
4 Discussion
References
On the Asymptotical Description of Soliton Solutions to the Matrix Modified Korteweg-de Vries Equation
1 Introduction
2 Collisions of 2-Soliton Solutions of the 22-Matrix Modified Korteweg-de Vries Equation
3 Asymptotic Analysis
Appendix: An Explicit Formula for the N-Solitons of the dd-Matrix mKdV
References
Chirped Optical Solitons in Fiber Bragg Gratings with Dispersive Reflectivity
1 Introduction
2 Mathematical Analysis of Governing Model
3 Chirped Soliton Solutions
4 Discussion and Remarks
5 Conclusion
References
Part VIII Nonlinear Phenomena in Bio- and Eco-systems Dynamics
An Overview on Time-Frequency Effects of ECG Signals Using Synchroextracting Transform
1 Introduction
2 Methodology
3 Time-Frequency Analysis Schemes
4 Results
5 Discussions
6 Final Remarks
References
Hopf Bifurcation Analysis of the BVAM Model for Electrocardiogram
1 Introduction
2 Mathematical Model
3 Analytic Approach
3.1 Center Manifold Reduction
3.2 Application on BVAM Model
3.3 Method of Multiple Scales
4 Results and Discussion
5 Conclusion
References
Stability and Instability of a Complex Biodynamical Discrete Structure on a Cantilever Coupled to Nonlinear Springs
1 Introduction
2 Description of the Models
3 Results
3.1 System of Differential Equations for Oscillations of a Biodynamical System When Coupled with One or Two Nonlinear Springs
3.2 System of Differential Equations for Oscillations of a Biodynamical System When Coupled with Three Nonlinear Springs
4 Concluding Remarks
References
Effects of Rising Sea Surface Temperature on the Dynamics of Coral-Algal Interactions
1 Introduction
2 The Basic Model
2.1 Equilibria and Their Stability
3 Results and Discussion
References
Analysis and Bifurcations of Non-smooth Filippov Predator Prey System with Harvesting
1 Introduction
2 Model
3 Dynamics of Smooth Subsystems
3.1 Classification of Equilibrium States as Regular/Virtual
3.1.1 Graphically Representation of Regular/Virtual Equilibrium
3.2 Local Stability Analysis
4 Sliding Mode
4.1 Boundary Equilibrium Point
4.2 Tangent Points
4.3 Pseudo-equilibrium
5 Numerical Simulation
6 Conclusion
References
The Effect of Different Control Strategies on the Dynamics of a Dengue Model
1 Introduction
2 The Proposed Model
3 Reproduction Number
4 Simulations of the Model and the Control Strategies
5 Vaccination via Optimal Control
6 Conclusions
References
Index

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