Advances in Nonlinear Dynamics, Volume I : Proceedings of the Third International Nonlinear Dynamics Conference (NODYCON 2023) / edited by Walter Lacarbonara.

Format:

Book

Contributor:

Lacarbonara, Walter, editor.

Series:

NODYCON Conference Proceedings Series, 2730-7697

Language:

English

Subjects (All):

Multibody systems.

Vibration.

Mechanics, Applied.

System theory.

Dynamics.

Nonlinear theories.

Engineering mathematics.

Engineering--Data processing.

Engineering.

Multibody Systems and Mechanical Vibrations.

Engineering Mechanics.

Complex Systems.

Applied Dynamical Systems.

Mathematical and Computational Engineering Applications.

Local Subjects:

Multibody Systems and Mechanical Vibrations.

Engineering Mechanics.

Complex Systems.

Applied Dynamical Systems.

Mathematical and Computational Engineering Applications.

Physical Description:

1 online resource (719 pages)

Edition:

1st ed. 2024.

Place of Publication:

Cham : Springer Nature Switzerland : Imprint: Springer, 2024.

Summary:

This volume aims to present the latest advancements in experimental, analytical, and numerical methodologies aimed at exploring the nonlinear dynamics of diverse systems across varying length and time scales. It delves into the following topics: Methodologies for nonlinear dynamic analysis (harmonic balance, asymptotic techniques, enhanced time integration) Data-driven dynamics, machine learning techniques Exploration of bifurcations and nonsmooth systems Nonlinear phenomena in mechanical systems and structures Experimental dynamics, system identification, and monitoring techniques Fluid-structure interaction Dynamics of multibody systems Turning processes, rotating systems, and systems with time delays .

Contents:

Intro

Preface

Preface for Volume 1: Nonlinear Dynamics of Structures, Systems and Devices

Contents

Part I Fluid-Structure Interactions

Linear Stability of Thin Liquid Film Flows over a Uniformly Heated Slippery Substrate under Heat Flux Boundary Condition

1 Introduction

2 Formulation of the Problem

2.1 Governing Equations and Boundary Conditions

2.2 Scaling and Non-Dimensionalization

3 Boundary Layer Equations and Their Solutions

3.1 Asymptotic Expansions of Governing Equations and Boundary Conditions

4 Stability Analysis Using Infinitesimal Disturbance of the Basic Flow

4.1 Linear Stability Analysis Using Normal Mode of Disturbance

4.2 Results and Discussion

5 Weakly Nonlinear Models

6 Numerical Simulation

7 Conclusions

References

Linear Sheared Flow Effects in Vortex-Induced Forces on Three Tandem Subsea Structures in Proximity to Larger Objects

2 Numerical Model

2.1 Mesh Verification

2.2 DES Model

2.3 Mesh Verification

3 Results and Discussion

4 Conclusions

Vortex-Induced Loads on Subsea Pipelines Due to Marine Biofouling

A New Koopman-Inspired Approach to Match Flow Field Excitation with Consequent Structure Responses for Nonlinear Fluid-Structure Interactions

2 The Koopmanistic Approach

2.1 Theoretical Context

2.2 Approach to Solution

2.3 Solution Procedure

3 Results and Discussions

The Remarkable Role of Hydrogen in Conductors with Copper and Silver Nanoparticles by Mixed Convection Using Viscosity Reynold's Model

2 Modeling and Formulation of the Problem Statement

3 Computational Methodology

4 Results and Discussions.

5 Conclusions and Recommendations

Nonlinear Stability of a Thin Viscoelastic Film Down a Vertical Wall: A Numerical Study

2 Problem Description

3 Nonlinear Dynamical Simulations

4 Role of Odd Viscosity

5 Summary and Conclusions

Dynamics of a Completely Immersed Nonlinear Beam Under the Action of a Sea Wave

2 Modeling and Dynamic Analysis

2.1 Physical and Mathematical Modeling

2.2 Analytical Study

Semi-Analytic Solutions for the Bending-Bending-Torsion Coupled Forced Vibrations of a Rotating Wind Turbine Blade by Means of Green's Functions

2 Governing Equations of Bending-Bending-Torsion Coupled Forced Vibrations of a Rotating Wind Turbine Blade

3 Green's Functions of the Bending-Bending-Torsion Forced Vibration Problem of a Rotating Wind Turbine Blade

3.1 Green's Functions for Eq. (8Equ55)

3.2 Green's Functions for Eqs. (8Equ33) and (8Equ44)

3.3 Boundary Conditions of a Rotating Wind Turbine Blade

4 Semi-Analytic Solutions for the Bending-Bending-Torsion Coupled Forced Vibrations of a Rotating Wind Turbine Blade

5 Numerical Results and Discussions

5.1 Verification of the Present Solutions

5.2 Effects of the Speed

6 Conclusions

Appendix 1

Part II Mechanical Systems and Structures

Multiple Periodic Symmetric Limit Cycles of Two Coupled Sommerfeld Rotors

1 Introduction to the Problem

2 Equations of Motion of the Sommerfeld Rotor

3 Equations of Motion in the Cauchy Form

4 Corrected Speed Driving Moment Characteristic

5 Airplane Wing Motor Model with Unbalanced Rotors

6 Cauchy Form of the Rotor System Equations

7 Periodic Limit Cycles Calculated by Time-Free Equations

8 Summary and Concluding Remarks.

References

Multiharmonic Forced Response Analysis of a Torsional Vibration Isolator Using a Nonlinear Quasi-zero Stiffness Approach

2 Modeling and Solving

2.1 Multiharmonic Equation of Motion

2.2 Continuation of Solution Branch

2.3 Evaluation of Nonlinear Torque

2.4 Validation of Simulation Procedure

3 Analysis of QZS Dynamics

3.1 Nonlinear Rotational Stiffness

3.2 Dynamics of QZS Isolator

3.2.1 Excitation Torque Amplitude exc,1

3.2.2 Damping d

3.2.3 Degree of Isolation κ

3.2.4 Static Offset Δφstat

3.3 Engine Application

Predicting Limit Cycle of Modified Rayleigh Differential Equation

2 Problem Statement and Formulation

An Extensible Double Pendulum and Multiple Parametric Resonances

2 The System

3 Numerical Investigation of Resonances

4 Discussion

A Perturbation Theory for the Shape of Central Force Orbits

2 The Exact Solution to n=2 and n=-1 Cases

3 Perturbative Approach to Solve the Orbit Equation and Spatial Frequency

4 Theoretical Consistency

5 Closed or Space Filling?

6 Numerical Consistency

7 Conclusion

Analysis of Forced Vibrations of a Nonlinear Elastic Plate on a Viscoelastic Foundation Subjected to Hard Excitation from Harmonic Load

2 Problem Formulation

3 Method of Solution

3.1 Nonresonant Hard Excitation

3.2 Superharmonic Resonance ΩF13ω1

3.3 Subharmonic Resonance F 31

4 Numerical Results

5 Conclusions

Mathematical Modelling of a Coefficient of Nonlinearity in Dynamics of Deep Groove Ball Bearing with Damage

2 Modelling of Deep Groove Ball Bearings with Damage.

3 Mathematical Modelling of a Coefficient of Nonlinearity

3.1 Mathematical Modelling of Damaged Bearing Dynamics

3.2 Empirical Procedure

4 Discussion and Conclusions

Regular and Complex Behavior in the Pendulum System Under a Magnetic Field

2 Basic Model

3 Investigation of the Localized Mode of the Pendulum System

3.1 The Study of the Localized Mode by the Multiple Scales Method

3.2 Investigation of the Influence of the System Parameters and Initial Conditions on the Localized Mode

4 Investigation of the Coupled Mode of the Pendulum System

4.1 Investigation of the Coupled Mode by the Multiple Scales Method

4.2 Investigation of the Influence of System Parameters and Initial Conditions on the Dynamics of the System (Coupled Mode Case)

Nonlinear Free Vibration of Functionally Graded Shallow Shells with Variable Thickness Resting on Elastic Foundation

3 Solution Method

4 Numerical Results and Discussion

Nonlinear Free Vibrations of Functionally Graded Porous Sandwich Plates with Complex Shape

2 Mathematical Formulation

4.1 Test Problem. Simply Supported and Clamped Porous FGM Sandwich Plates with Rectangular Shape

4.2 Plates with a Complex Shape

5 Conclusion

Effect of Boundary Conditions on the Stability of a Viscoelastic Von Mises Truss

2 Symmetric Boundary Conditions

2.1 Nondimensionalization

2.2 Stability Results

3 Asymmetric Boundary Conditions

3.1 Stability Results

4 Conclusion

Study of the Effect of Non-linear End Supports on the Unbalance Response of the Elastic Shaft

2 Analysis.

3 Results and Discussion

Influence of the Rope Sling System on the Dynamics of a Carried Load

2 Dynamics Model

3 Numerical Calculation Results

4 Conclusions and Summary

Part III Computational Nonlinear Dynamics

Differential Formulation of the Vaiana-Rosati Model of Hysteresis: Preliminary Results

2 VRM Analytical Formulation

3 VRM Differential Formulation

4 Simulation of Complex Hysteresis Loops

5 NLTHAs of a SDOF Hysteretic Mechanical System

5.1 Discrete Structural Model

5.2 Nonlinear Equilibrium Equation

5.3 Applied External Force

5.4 Hysteretic Model Parameters

5.5 NLTHAs Results

Modified Energy-Based Time Variational Methods for Obtaining Periodic and Quasi-Periodic Responses

2 TVM Formulation

3 Modified TVM with Linear Domain Transformation

4 MTVM Formulation

5 TVEM Formulation

6 MTVEM Formulation

An Algebraic Model for Hysteretic Responses Exhibiting Cyclic Hardening and Softening Phenomena: Preliminary Results

2 Algebraic Model

3 Evaluation of the Generalized Work

4 AM Experimental Validation

4.1 Tested Samples

4.2 AM Parameters Calibration Procedure

A General Co-simulation Framework Based on a Novel Weak Formulation at the Interface Level

2 Introduction of the New Numerical Integration Scheme

2.1 Piecewise-Linear Polynomials

2.2 Piecewise-Quadratic Polynomials

3 Description of the Novel Co-simulation Strategy

3.1 Force/Displacement (F/D) Decomposition

3.1.1 Piecewise-Linear Polynomials

3.1.2 Piecewise-Quadratic Polynomials

4.1 Numerical Integration

4.2 Co-simulation.

5 Synopsis and Future Work.

Notes:

Includes bibliographical references and index.

ISBN:

3-031-50631-6