Nonlinear Structures & Systems, Volume 1

Name: Nonlinear Structures & Systems, Volume 1 | Proceedings of the 38th IMAC, A Conference and Exposition on Structural Dynamics 2020
Brand: Springer
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Proceedings of the 38th IMAC, A Conference and Exposition on Structural Dynamics 2020

Gaetan Kerschen Matthew R.W. Brake Ludovic Renson(Editor)

Springer (Publisher)

1st Edition

Published on 12. September 2020

IX, 305 pages

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978-3-030-47626-7 (ISBN)

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Content

Intro
Preface
Contents
1 Convergence Study on the C-Beam Using Joint Modes Based on Trial Vector Derivatives
1.1 Introduction
1.2 Background
1.3 Model Description
1.4 Convergence Study
1.5 Conclusion
References
2 Semi Hyper-Reduction for Nonlinear Surface Loads on Finite Element Structures by the Use of Stress Modes
2.1 Introduction
2.2 Model Reduction and Description of the Nonlinear Term
2.3 Computation of Stress Modes
2.4 Idea of Semi Hyper-Reduction
2.5 Application of Semi Hyper-Reduction to Reynolds Equation
2.6 Numerical Studies
2.7 Conclusion
References
3 Parameter Identification of a Linear Substitution Model for Nonlinear Contact and Damping Inside Lap Joints Using Distributed Optimization
3.1 Introduction and Motivation
3.2 Purpose of Research
3.3 Mechanical Model of the Numerical Test Structure
3.3.1 Nonlinear High Fidelity FE-Model
3.3.2 Linear Substitution Model
3.3.3 Used Model Parameters
High Fidelity FE-Model
Substitution Model
3.4 Distributed Optimization Strategy
3.4.1 Cost Function
3.4.2 Space of Parameter
3.4.3 Distributed Resources
3.4.4 Determination of the Joint Parameters
Simplex Algorithm
Distributed Optimization by Discretization of the Parameter Space
3.5 Results and Discussion
3.5.1 Virtual Testing with JointAnalyser
3.5.2 Findings of the Joint Parameters
Using the Simplex Algorithm (section ``Simplex Algorithm'')
Using the Distributed Optimization by Discretization of the Parameter Space (section ``Distributed Optimization by Discretization of the Parameter Space'')
Evaluation of the Used Optimization Methods
3.5.3 Verification of the Substitution Model
3.6 Conclusion and Outlook
References
4 Flexible Multibody Dynamics: Which Terms of the Equations of Motion Have to Be Considered for Which Problem?
4.1 Introduction
4.2 Starting Point: The Not and the at Most Simplified Equations of Motion
4.3 Assumptions of Small Deformations and Its Implications
4.4 Deformation Depended Inertia
4.5 Inertia Coupling
4.6 Quadratic Velocity Vector
4.7 Conclusion and Benefit
References
5 Application of the Bouc-Wen Model to Bolted Joint Dynamics
5.1 Introduction
5.2 Theory
5.3 Numerical Case Study: Sumali Beam
References
6 Some Aspects of Using the Random Decrement Technique for Nonlinear Systems
6.1 Introduction
6.2 Theory
6.3 Analysis
6.4 Conclusion
References
7 Investigation of String Motions of Bowed String Instruments: A Finite Element Approach
7.1 Introduction
7.2 Background
7.3 Simulation
7.4 Conclusion
References
8 FreeDyn: A Free, Flexible and State of the Art Multibody Simulation Package for Education, Research and Industrial Applications
8.1 Introduction and Theoretical Background of FreeDyn
8.2 Standard Modelling Elements of FreeDyn
8.3 FreeDyn as C Library
8.4 FreeDyn in Industrial Applications
8.5 FreeDyn in Research
8.6 FreeDyn in Education
References
9 Force Probing to Access Potential Energy
9.1 Introduction
9.2 Examples
9.3 Experiments and Results
9.4 Conclusions
References
10 Modeling and Experimental Validation of a Pylon Subassembly Mockup with Multiple Nonlinearities
10.1 Introduction
10.2 Theory
10.2.1 Concerto Method
10.2.2 Hilbert Transform Method
10.2.3 Zero-Crossing Method
10.3 Experimental Setup
10.4 Linear Modal Testing and FEA Model Calibration
10.5 Nonlinear Testing
10.5.1 Stepped Sine Tests
10.5.2 Free Decay Tests
10.5.3 Comparison of Backbone Curves
10.5.4 Effect of Sensor Cables on Backbone Curves
10.6 Nonlinear SDOF Model Identification and Validation
10.6.1 Model Formulation
10.6.2 Model Parameter Identification
10.6.3 Experimental Validation
10.7 Conclusions
References
11 Comparison Between Control-Based Continuation and Phase-Locked Loop Methods for the Identification of Backbone Curves and Nonlinear Frequency Responses
11.1 Introduction
11.2 Characterization Methods
11.3 Experimental Results
11.4 Conclusion
References
12 Implementing the Restoring Force Surface Method to Fit Experimentally Measured Modal Coupling Effects
12.1 Introduction
12.2 Theory
12.3 Test Case
References
13 Identification of Backbone Curves and Nonlinear Frequency Responses using Control-based Continuation and Local Gaussian Process Regression
13.1 Introduction
13.2 Experimental Set-Up
13.3 Continuation Principles
13.4 Results
13.5 Conclusions
References
14 Model Correlation to a Nonlinear Bolted Structure Using Quasi-Static Modal Analysis
14.1 Introduction
14.2 Preliminary Results
14.3 Moving Forward
References
15 Numerical Continuation of Periodic Orbits for Harmonically Forced Nonlinear Systemswith Iwan Joints
15.1 Introduction
15.2 Theoretical Background
15.2.1 Overview of the Iwan Model
15.2.2 General Continuation Procedure
15.3 Modified Continuation Method for the Iwan Model
15.3.1 State of Sliders
Stuck at All Time Instants
When ||x0|| Belongs to || xmax-2?i||
When ||x0|| Doesn't Belong to || xmax-2?i||
15.3.2 Adding the State of Sliders to the Continuation Method
15.4 Results and Discussion
15.5 Conclusion
References
16 A Digital Absorber for Nonlinear Vibration Mitigation
16.1 Introduction
16.2 Piezoelectric Shunt Damping
16.3 Experimental Results
16.4 Conclusion
References
17 Control-Based Continuation of Nonlinear Structures Using Adaptive Filtering
17.1 State of the Art of Control-Based Continuation
17.2 Control-Based Continuation with Adaptive Filtering
17.3 Experimental Results
17.4 Conclusion
References
18 Tuning of Finite Element Model Parameters to Match Nonlinear Reduced Order Models
18.1 Introduction
18.2 Theory
18.3 Numerical Example: Curved Beam
References
19 Towards an Understanding of the Transient Behavior of the Five-Parameter Iwan-Type Model
19.1 Introduction
19.2 Overview of the Five-Parameter Iwan-Type Model
19.3 The Transient Behavior of the Five-Parameter Iwan-Type Model
19.3.1 Steady-State Behavior After Virgin Loading
19.3.2 Ring-Up and Ring-Down Behavior
19.4 Conclusion
References
20 On the Solution of Nonlinear Algebraic Equations Following Periodic Forced Response Analysis of Nonlinear Structures Using Different Nonlinear Solvers
20.1 Introduction
20.2 Mathematical Modeling
20.2.1 Harmonic Balance Method
20.3 Solution of Nonlinear Algebraic Equations
20.4 Case Study
20.5 Conclusion
References
21 Vibration-Based Bolt Tension Estimation for Multi-bolt Joints
21.1 Introduction
21.2 Theoretical and Experimental Modeling and Analysis
21.3 Results
21.4 Conclusion
References
22 Experimental Application of Control-Based-Continuation for Characterization of Isolated Modes on Single- and Multiple-Degree-of-Freedom Systems
22.1 Introduction
22.2 Theoretical Background of Control Based Continuation
22.3 Experiments
22.4 Conclusion
References
23 Nonlinear Function Selection and Parameter Estimation of Structures with Localised Nonlinearities, Part 1: Numerical Analysis
23.1 Introduction
23.2 Methodology
23.3 Numerical Analysis
23.3.1 SDOF System
23.3.2 Application to MDOF System
23.4 Conclusion
References
24 Tutorial on Nonlinear Reduced Order Modeling for Nominally Cyclic Symmetric Structures and Rotating Machinery
24.1 Cyclic Symmetry and Constraint Equations
24.2 Mistuning and Probabilistic Simulations
24.3 Nonlinearities
24.4 Reduced Order Modeling
24.5 Conclusions
References
25 Excitation Techniques for Nonlinear Dynamic Systems: A Summary
25.1 Introduction
25.2 Test Structure
25.3 Modal Analysis - Linear Response
25.4 Nonlinear Anaysis - Shaker Excitation
25.4.1 Stepped Steady State Sine Excitation Using Shakers
25.4.2 Random Excitation Using Shakers
25.4.3 Periodic Excitation Using Shakers
25.4.4 Transient Excitation Using Shakers
25.5 Nonlinear Analysis - Pneumatic Excitation
25.6 Nonlinear Analysis - Step Relaxation
25.7 Non-Contact Excitation Sources
25.8 Conclusion
References
26 Flutter of Double-Bay Panels with Finite Midbay Stiffness
26.1 Introduction
26.2 Aeroelastic Models
26.3 Fem and Verification of Numerical Approach
26.4 Examination of Partially Restrained Intermediate Support
26.5 Discussion and Closing Remarks
References
27 Nonlinear System Identification of a Jointed Structure Using Full-Field Data: Part II Analysis
27.1 Introduction
27.2 Methods
27.3 Analysis
27.4 Conclusion
27.5 Acknowledgements
References
28 Control Parameters in Non-linear Properties of Linear Guideway in Lateral Direction
28.1 Introduction
28.2 Modal Property Estimation with Linearized Model
28.3 Overview of Experimental Investigation
28.4 Extent of Nonlinearity in Dynamic Behaviour
28.4.1 Harmonics
28.4.2 FRF Dependence on Excitation Level
28.4.3 FRF Variance on Sine Sweep Direction
28.5 Dependence of Dynamic Properties on Physical Parameters
28.5.1 Lubrication
28.5.2 Internal Preload Level
28.5.3 Static Lateral Load
28.6 Conclusion
References
29 Inferring Unstable Equilibrium Configurations from Observed Dynamics
29.1 Introduction
29.2 Experiment Setup
29.3 Sample Results
29.4 Conclusion
References
30 Bolt Preload Loss Due to Modal Excitation of a C-Beam Structure
30.1 Introduction
30.2 Experimental Setup
30.3 Experimental Results and Discussion
30.4 Computational Analysis
30.5 Computational Results and Discussion
30.6 Conclusions
References
31 Nonlinear Dynamic Analysis of Bolted Joints: Detailed and Equivalent Modelling
31.1 Introduction
31.2 Detailed Fe Modelling
31.3 Equivalent Beam Modelling
31.4 Joint Model Identification Results
31.5 Conclusion
References
32 The Relevance of Nonlinear Normal Modes for Randomly Excited Nonlinear Mechanical Systems
References
33 Analysis of an Actuated Frictional Interface for Improved Dynamic Performance
33.1 Introduction
33.2 A Novel Actuated Frictional Interface
33.3 Analysis
33.4 Conclusion
References
34 Vibration Reduction of a Structure by Using Nonlinear Tuned Vibration Absorbers
34.1 Introduction
34.2 Mathematical Modelling
34.3 Results
34.4 Conclusion
References
35 Simulation-Free Reduction Basis Interpolation to Reduce Parametrized Dynamic Models of Geometrically Non-linear Structures
35.1 Introduction
35.2 Static Modal Derivatives for Simulation-Free Reduction Bases
35.3 Geodesic Interpolation of Reduction Bases
35.4 Simulation-Lean Hyperreduction
35.4.1 The Polynomial Expansion
35.4.2 The Energy Conserving Sampling and Weighting
35.5 Case Study
35.6 Conclusion
References
36 Experimental Spectral Submanifold Reduced Order Models from Machine Learning
36.1 Introduction
36.2 Method Overview with a Numerical Example
References
37 Development of an Experimental Rig for Emulating Undulatory Locomotion
37.1 Introduction
37.2 Structural Design and Operation
37.3 Fabrication and Measurement
37.3.1 Coils Characteristics
37.3.2 Natural Frequencies of the Beam
37.3.3 Swimmer Characteristics
37.3.4 Swimmer with Head Support
37.4 Conclusion
References
38 Identification and Modeling of a Variable Amplitude Fatigue Experiment Apparatus with Damaged Beam Specimen
38.1 Calibration of Accelerometers
38.2 Detection of Nonlinearity
38.2.1 Frequency Response Function Overlay
38.2.2 Nonlinear Stiffness Identification Under Static Loading
38.3 Future Work
References
39 Higher-Order Decompositions for Modal Identification and Model Order Reduction
39.1 Introduction
39.2 Background
39.3 Higher-Order Generalized Singular Value Decomposition
39.4 Higher-Order Non-hermitian Decomposition
39.5 Results
39.5.1 Free Linear Response of the Damped Cantilever Beam
39.5.2 Free Nonlinear Response of the Damped Cantilever Beam
40 Utilizing Modal Testing for Monitoring the Structural Health of Wind Tunnel Facility Hardware
40.1 Introduction
40.1.1 Failure Mode
40.2 Modal Test
40.3 Analysis and Results
40.4 Conclusion
References
41 An Efficient Coupled Modal Quasi-static Approach for Characterizing Non-linear Modal Properties of Prestressed Structures
41.1 Introduction
41.2 Theoretical Formulation
41.3 Application Example: Bolted Joint
41.4 Conclusion
References
42 An Assessment of the Applicability and Epistemic Uncertainties Inherent to Different Classes of Friction Models for Modeling Bolted Interfaces
42.1 Introduction
42.2 Modeling and Approach
42.3 Results
References
43 Hyper-Reduction Approaches for Contact Modeling with Small Tangential Displacements: Applications for a Bolted Joint
43.1 Introduction and Motivation
43.2 Description of Approaches
43.2.1 Whole Jointed Approach Based on Binned Field Objective
43.2.2 Interface Remeshing Approach
43.3 Results
43.4 Discussions and Conclusions
References
44 Fatigue Damage of a Single-Edge Notched Beam Specimen Under Variable Amplitude Loading with Similar Probabilistic and Cycle Counting Statistics
44.1 Introduction
44.2 Fatigur Crack Propagation Simulation
44.2.1 Simulation Setup
44.2.2 Simulation Results
44.3 Discussion
44.4 Future Work
References

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Nonlinear Structures & Systems, Volume 1

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