Nonlinear Structures & Systems, Volume 1 : Proceedings of the 41st IMAC, A Conference and Exposition on Structural Dynamics 2023 / edited by Matthew R.W. Brake, Ludovic Renson, Robert J. Kuether, Paolo Tiso.

Format:

Book

Author/Creator:

Brake, Matthew R. W.

Contributor:

Renson, Ludovic.

Kuether, Robert J.

Tiso, Paolo.

Series:

Conference Proceedings of the Society for Experimental Mechanics Series, 2191-5652

Language:

English

Subjects (All):

Multibody systems.

Vibration.

Mechanics, Applied.

Statics.

Building construction.

System theory.

Multibody Systems and Mechanical Vibrations.

Mechanical Statics and Structures.

Engineering Mechanics.

Solid Construction.

Complex Systems.

Local Subjects:

Multibody Systems and Mechanical Vibrations.

Mechanical Statics and Structures.

Engineering Mechanics.

Solid Construction.

Complex Systems.

Physical Description:

1 online resource (257 pages)

Edition:

1st ed. 2024.

Place of Publication:

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

Summary:

Nonlinear Structures & Systems, Volume 1: Proceedings of the 41st IMAC, A Conference and Exposition on Structural Dynamics, 2023, the first volume of ten from the Conference brings together contributions to this important area of research and engineering. The collection presents early findings and case studies on fundamental and applied aspects of Nonlinear Dynamics, including papers on: Experimental Nonlinear Dynamics Jointed Structures: Identification, Mechanics, Dynamics Nonlinear Damping Nonlinear Modeling and Simulation Nonlinear Reduced-Order Modeling Nonlinearity and System Identification.

Contents:

Intro

Preface

Contents

1 On the Detection and Quantification of Nonlinearity via Statistics of the Gradients of a Black-Box Model

1.1 Introduction

1.2 Machine Learning for Structural Dynamics

1.3 A Three-Storey Building Dataset

1.4 Statistics of the Model Gradients as a Nonlinearity Metric

1.5 Conclusions

References

2 Robust Identification of Nonlinear Oscillators from Frequency Response Data

2.1 Introduction

2.2 System Identification

2.3 Results

2.4 Conclusions

3 Creating Data-Driven Reduced-Order Models for Nonlinear Vibration via Physics-Informed Neural Networks

3.1 Introduction

3.2 Methodology

3.2.1 Example: Five-Degree-of-Freedom, Nonlinear Mass-Spring Model

3.2.2 Data Generation

3.2.3 Long Short-Term Memory

3.2.4 Physics-Informed Loss Function

3.3 Conclusions

4 Effect of Structural Parameters on the Nonlinear Vibration of L-Shaped Beams

4.1 Introduction

4.2 Background

4.2.1 Formulation of the L-Shaped Beam

4.2.2 Discretization of the Nonlinear PDEs by Using Galerkin's Method

4.2.3 Multiharmonic Harmonic Balance Method (HBM)

4.3 Results and Discussions

4.3.1 Linear Model Results

4.3.2 Case Studies

4.4 Conclusion

5 Importance of Virtual Sensing and Model Reduction in the Structural Identification of Bolted Assemblies

5.1 Introduction

5.2 Methodology

5.3 Analysis and Discussion

5.4 Conclusion

6 On the Harmonic Balance Method Augmented with Nonsmooth Basis Functions for Contact/Impact Problems

6.1 Introduction

6.2 Nonsmooth Galerkin Formulation

6.3 Least-Squares Regression Analysis

6.4 Conclusion

7 Periodic Response Prediction for Hybrid and Piecewise Linear Systems

7.1 Introduction.

7.2 Periodic Response of Harmonically-Excited Time-Switched Hybrid Systems

7.3 Periodic Response of Harmonically-Excited Piecewise Linear Systems

7.4 Discussion and Conclusion

8 A Tutorial on Data-Driven Methods in Nonlinear Dynamics

8.1 Introduction

8.2 Bayesian Inference and System Identification

8.3 System Identification Using Markov Chain Monte Carlo

8.4 Case Study in Parameter Estimation: The Duffing Oscillator

8.5 Model Selection and Approximate Bayesian Computation

8.6 Case Study in Equation Discovery: Hysteretic Systems

8.7 Coloured Boxes and Physics-Informed Machine Learning

8.7.1 Case Study: Prior Mean Functions-Residual Modelling

8.8 Conclusions

9 Modeling Nonlinear Structures Using Physics-Guided, Machine-Learnt Models

9.1 Introduction

9.2 Background

9.3 Introducing Nonconservative Forces

9.4 Experimental Analysis

9.5 Exploiting Known Physics

10 Bypassing the Repeatability Issue in Nonlinear Experimental Modal Analysis of Jointed Structures by Using the RCT-HFS Framework

10.1 Repeatability Issue

10.2 Application of the RCT-HFS Framework to the Orion Beam

10.3 Discussions and Conclusions

11 Towards Exact Statistically Independent Nonlinear Normal Modes via the FPK Equation

11.1 Introduction

11.2 The Fokker-Planck-Kolmogorov Equation

11.3 Direct NNMs in a Single Dimension

11.3.1 A Cautionary Result

11.4 Towards Direct MDOF NNMs

11.5 Discussion

12 Simulating Nonlinear Beating Phenomena Induced by Dry Friction in Dynamic Systems

12.1 Introduction

12.2 Background

12.2.1 Lumped Parameter Model

12.3 Analysis

12.3.1 Numerical Integration Scheme

12.4 Conclusion

13 Case Study on the Effect of Nonlinearity in Dynamic Environment Testing

13.1 Introduction.

13.2 Setting of Problem

13.3 Results

13.4 Conclusions

14 Strategies for Improving the Comparison of Frequency Response Functions with Similarity Metrics

14.1 Introduction

14.2 Simulation

14.3 Experimental Validation

14.4 Conclusions

Appendix

15 Resonant Characterization of Nonlinear Structures in the Co-existence of Multiple Resonant Components

15.1 Introduction

15.2 Methodology

15.3 Numerical Illustrations on a Two-DOF System

15.3.1 Two-Component Single Harmonic Balance Results

15.4 Conclusions

16 Derivative-Less Arclength Control-Based Continuation for the Experimental Identification of Nonlinear Frequency Responses

16.1 Arclength Continuation: The Basic Idea

16.2 Numerical Example

16.3 Conclusion

17 Experimental Modal Analysis of Structures with High Nonlinear Damping by Using Response-Controlled Stepped-Sine Testing

17.1 Introduction

17.2 Nonlinear Experimental Modal Analysis with the RCT-HFS Framework

17.3 Experiment

17.4 Discussions and Conclusions

18 The TRChallenge: Experimental Quantification of Nonlinear Modal Parameters and Confrontation with the Predictions

18.1 Introduction

18.2 Experimental Setup and Test Strategies

18.3 Results

18.4 Conclusion

19 Using Abaqus with Python to Perform QSMA on the TMD Structure

19.1 Introduction

19.2 Theory

19.2.1 Using Python to Perform QSMA

19.2.1.1 Using Abaqus's Restarts

19.2.1.2 Rough Friction vs. Lagrange Friction

19.3 Case Study 1: Stacked Beam

19.3.1 Application of Quasi-static Modal Analysis

19.3.1.1 Post-Processing Results from the Static Analysis

19.3.2 Validation of Pseudo-inverse Approach

19.4 Case Study 2: 2D TMD Benchmark Structure-10pt

19.4.1 Results.

19.5 Case Study 3: 3D TMD Benchmark Structure

19.6 Conclusions

20 A Novel Approach for Local Structural Modification of Nonlinear Structures

20.1 Introduction

20.2 Theory

20.3 Case Studies

20.4 Conclusions

21 Model Validation of a Modular Foam Encapsulated Electronics Assembly with Controlled Preloads via Additively Manufactured Silicone Lattices

21.1 Introduction

21.2 Geometry

21.3 Materials

21.4 Homogenized Material Paramaterization for DIW Lattice Structures

21.5 Experimental Methods

21.6 Finite Element Analysis

21.7 Results

21.8 Conclusion

22 Characterizing the Dynamic Response of a Foam-Based Testbed with Material, Geometric, and Experimental Uncertainties

22.1 Introduction

22.2 Methods

22.3 Results and Analysis

22.4 Discussion

22.5 Conclusion

23 Experimental Investigation on Frictional Interfaces of a Bolted Flange System

23.1 Introduction

23.2 Experimental Setups

23.3 Results and Discussion

23.4 Conclusion

24 Estimation of Wheel Center Forces of a Car, Without Neither Load Sensor Nor Strain Gauge Measurements When Crossing a Groove on the Road

24.1 Introduction

24.2 Background

24.2.1 Rotation Representation

24.2.2 Multi-body Equations

24.2.3 The Constraints Equations

24.3 Kalman Filtering of the Multi-body Model

24.3.1 The Augmented and Constrained Extended Kalman Filter (ACEKF)

24.3.2 Kalman Prediction

24.3.3 Kalman Correction

24.3.4 Kalman Modifications

24.4 Analysis

24.4.1 Model Studied

24.4.2 Experimentation of Alternative Kalman Filters

24.5 Conclusion

25 Nonlinear Dynamics, Continuation, and Stability Analysis of a Shaft-Bearing Assembly

25.1 Introduction

25.2 System Modeling and Numerical Methods.

25.3 Frequency Response Analysis

25.4 Conclusions

26 Quantification of Amplitude- and Rotation Speed-Dependent Nonlinearity of Machine Tool Spindles

26.1 Introduction

26.2 Selected Results

26.3 Conclusions

27 Toward Active Control of Limit Cycle Oscillations in an Aeroelastic Wing Using a Variable Frequency Flow Disturbance Generator

27.1 Introduction

27.2 Methodology

27.3 Results and Analysis

27.4 Planned Future Work

27.5 Conclusions

28 Experimental Parameter Identification of Nonlinear Mechanical Systems via Meta-heuristic Optimisation Methods

28.1 Introduction

28.2 Experimental Test Rig and Nonlinear Analysis

28.3 Model Updating of the Underlying Linear System

28.4 Nonlinear Model Updating

28.5 Conclusion

29 Investigation of the Nonlinear Dynamics of a Particle-Damped Slender Beam by Experimental Continuation

29.1 Introduction

29.2 Theoretical Background of Experimental Continuation

29.3 Experimental Setup

29.4 Results

30 Identification of Nonlinear Characteristics of an Additive Manufactured Vibration Absorber

30.1 Introduction

30.2 Experimental Test Rig

30.3 Linear System Characterisation

30.4 Nonlinear System Characterisation

30.5 Conclusion

31 Resonant Vibration Absorbers with Impacts

31.1 Introduction

31.2 Methodology

31.3 Results and Discussion

31.4 Conclusions

32 Modeling and Verifying the Dynamic Response of Layered Plate Damping Systems

32.1 Introduction

32.2 Background

32.3 Experimental Testing Methodology

32.3.1 Test Setup and Considerations

32.3.2 Test Procedure

32.4 Finite Element Procedure

32.4.1 Model Setup

32.4.2 Mesh Convergence and Material Property Estimation

32.4.3 Simulation Steps

32.5 Results.

32.5.1 Numerical and Experimental Comparison.

Notes:

Description based on publisher supplied metadata and other sources.

ISBN:

87-438-0407-1

87-438-0039-4

3-031-36999-8

9788743804079

OCLC:

1405942435