Nonlinear Structures & Systems, Volume 1

Name: Nonlinear Structures & Systems, Volume 1 | Proceedings of the 41st IMAC, A Conference and Exposition on Structural Dynamics 2023
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Proceedings of the 41st IMAC, A Conference and Exposition on Structural Dynamics 2023

Matthew R.W. Brake Ludovic Renson Robert J. Kuether Paolo Tiso(Editor)

Springer (Publisher)

1st Edition

Published on 13. October 2023

IX, 264 pages

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978-3-031-36999-5 (ISBN)

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Content

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
References
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
References
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
References
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
References
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
References
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
References
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
References
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
References
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
References
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
References
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
References
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
References
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
References
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
References
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
References
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
References
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
References
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
Appendix
References
20 A Novel Approach for Local Structural Modification of Nonlinear Structures
20.1 Introduction
20.2 Theory
20.3 Case Studies
20.4 Conclusions
References
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
References
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
Appendix
References
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
References
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
References
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
References
26 Quantification of Amplitude- and Rotation Speed-Dependent Nonlinearity of Machine Tool Spindles
26.1 Introduction
26.2 Selected Results
26.3 Conclusions
References
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
References
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
References
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
References
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
References
31 Resonant Vibration Absorbers with Impacts
31.1 Introduction
31.2 Methodology
31.3 Results and Discussion
31.4 Conclusions
References
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
32.5.2 Experimental Analysis
32.6 Conclusions
References
33 State-Space Modeling of Nonlinear Electrostatic Transducers and Experimental Characterization Using LDV
33.1 Introduction
33.2 Analysis
33.3 Conclusions and Future Work
References

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Nonlinear Structures & Systems, Volume 1

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